phys273 hw3

7/21/2019 Phys273 hw3

http://slidepdf.com/reader/full/phys273-hw3 1/274

t x v a

0 0.9 0

0.002 0.8996929 -0.1764 -76.76604

0.004 0.8990331 -0.35274 -76.74733

0.006 0.8980208 -0.52895 -76.7071

0.008 0.8966564 -0.704962 -76.64532

0.01 0.8949402 -0.880707 -76.56192

0.012 0.8928729 -1.056115 -76.45682

0.014 0.8904554 -1.231118 -76.32993

0.016 0.8876884 -1.405648 -76.18111

0.018 0.8845731 -1.579635 -76.01024

0.02 0.8811106 -1.753011 -75.81717

0.022 0.8773021 -1.925709 -75.60171

0.024 0.8731493 -2.09766 -75.36368

0.026 0.8686535 -2.268797 -75.10288

0.028 0.8638167 -2.439053 -74.81908

0.03 0.8586405 -2.608361 -74.51206

0.032 0.8531271 -2.776655 -74.18158

0.034 0.8472784 -2.943868 -73.82737

0.036 0.8410969 -3.109934 -73.44918

0.038 0.8345848 -3.274789 -73.04673

0.04 0.8277448 -3.438368 -72.61974 31.622777

0.042 0.8205794 -3.600606 -72.16794

0.044 0.8130914 -3.761439 -71.69102

0.046 0.8052838 -3.920805 -71.18869

0.048 0.7971595 -4.078641 -70.66068

0.05 0.7887218 -4.234884 -70.10667

0.052 0.7799739 -4.389474 -69.5264

0.054 0.7709193 -4.542349 -68.91957

0.056 0.7615615 -4.693449 -68.2859

0.058 0.7519041 -4.842715 -67.62514

0.06 0.7419509 -4.990088 -66.93701

0.062 0.7317058 -5.13551 -66.22128

0.064 0.7211729 -5.278925 -65.4777

0.066 0.7103562 -5.420275 -64.70607

0.068 0.6992601 -5.559504 -63.90618

0.07 0.6878887 -5.696559 -63.07785

0.072 0.6762467 -5.831386 -62.22093

0.074 0.6643386 -5.96393 -61.33528

0.076 0.6521691 -6.09414 -60.420780.078 0.6397429 -6.221965 -59.47735

0.08 0.6270649 -6.347355 -58.50494

0.082 0.6141402 -6.47026 -57.50352 0.1 9.91

0.084 0.6009738 -6.590631 -56.47309 0.2 9.91

0.086 0.5875709 -6.708422 -55.4137 0.3 9.91

0.088 0.5739367 -6.823586 -54.32541 0.4 9.91

0.09 0.5600767 -6.936078 -53.20834 0.5 9.91

0.092 0.5459963 -7.045853 -52.06262 0.6 9.91

-1.5

-1

-0.5

0

0.5

1

1.5

P

Angular Fr

7/21/2019 Phys273 hw3


0.094 0.5317011 -7.152868 -50.88844 0.7 9.91

0.096 0.5171966 -7.257081 -49.68603 0.8 9.91

0.098 0.5024886 -7.358452 -48.45564 0.9 9.91

0.1 0.4875829 -7.45694 -47.19758 1 9.91

0.102 0.4724854 -7.552506 -45.9122 1.1 9.91

0.104 0.457202 -7.645113 -44.59988 1.2 9.91

0.106 0.4417387 -7.734725 -43.26104 1.3 9.91

0.108 0.4261017 -7.821305 -41.89617 1.4 9.91

0.11 0.410297 -7.904821 -40.50577 1.5 9.91

0.112 0.394331 -7.98524 -39.09041

0.114 0.3782099 -8.062528 -37.65068

0.116 0.3619401 -8.136658 -36.18724

0.118 0.345528 -8.207598 -34.70075

0.12 0.3289801 -8.275321 -33.19197

0.122 0.3123028 -8.339801 -31.66164

0.124 0.2955027 -8.401013 -30.11058

0.126 0.2785865 -8.458931 -28.53964

0.128 0.2615609 -8.513534 -26.9497

0.13 0.2444324 -8.5648 -25.34169

0.132 0.227208 -8.612709 -23.71656

0.134 0.2098943 -8.657242 -22.0753

0.136 0.1924981 -8.698381 -20.41893

0.138 0.1750263 -8.736111 -18.74852

0.14 0.1574859 -8.770416 -17.06514

0.142 0.1398835 -8.801283 -15.3699

0.144 0.1222263 -8.8287 -13.66392

0.146 0.1045211 -8.852657 -11.94838

0.148 0.0867749 -8.873143 -10.22443

0.15 0.0689947 -8.890151 -8.493274

0.152 0.0511873 -8.903674 -6.756114

0.154 0.0333599 -8.913706 -5.014169

0.156 0.0155194 -8.920245 -3.268667

0.158 -0.002327 -8.923287 -1.520844

0.16 -0.020173 -8.92283 0.2280584

0.162 -0.038011 -8.9188771.9767993

0.164 -0.055833 -8.9114273.7241363

0.166 -0.073634 -8.9004835.4688308

0.168 -0.091407 -8.8860517.2096498

0.17 -0.109143 -8.8681358.9453688

0.172 -0.126836 -8.84674310.6747740.174 -0.14448 -8.821883 12.396666

0.176 -0.162068 -8.793565 14.10986

0.178 -0.179592 -8.7618 15.81319

0.18 -0.197045 -8.7266 17.505511

0.182 -0.214422 -8.687979 19.1857

0.184 -0.231714 -8.645952 20.85266

0.186 -0.248916 -8.60053722.505321

0.188 -0.26602 -8.551749 24.142641

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.

0

2

4

6

8

10

12

7/21/2019 Phys273 hw3


0.19 -0.283021 -8.499609 25.76361

0.192 -0.299911 -8.444137 27.36725

0.194 -0.316683 -8.38535428.952616

0.196 -0.333332 -8.32328430.518801

0.198 -0.34985 -8.257951 32.064934

0.2 -0.366232 -8.18938133.590182

0.202 -0.38247 -8.117599 35.093751

0.204 -0.398559 -8.04263536.574887

0.206 -0.414492 -7.96451838.032878

0.208 -0.430263 -7.88327739.467053

0.21 -0.445866 -7.79894640.876783

0.212 -0.461295 -7.71155642.261481

0.214 -0.476544 -7.62114243.620604

0.216 -0.491606 -7.52774 44.953651

0.218 -0.506477 -7.43138546.260163

0.22 -0.521149 -7.33211547.539724

0.222 -0.535618 -7.22997 48.79196

0.224 -0.549878 -7.12498950.016539

0.226 -0.563923 -7.017213 51.21317

0.228 -0.577748 -6.90668452.381602

0.23 -0.591347 -6.79344553.521623

0.232 -0.604716 -6.67754154.633059

0.234 -0.617848 -6.55901755.715777

0.236 -0.630739 -6.43791956.769675

0.238 -0.643384 -6.31429457.794691

0.24 -0.655777 -6.18819 58.790793

0.242 -0.667914 -6.05965859.757983

0.244 -0.679791 -5.92874760.696294

0.246 -0.691402 -5.79550861.605787

0.248 -0.702743 -5.65999362.486553

0.25 -0.71381 -5.522255 63.338705

0.252 -0.724598 -5.38234964.162384

0.254 -0.735102 -5.24032864.957752

0.256 -0.74532 -5.096248 65.724991

0.258 -0.755247 -4.95016566.464303

0.26 -0.764878 -4.80213667.175907

0.262 -0.774211 -4.65222 67.860036

0.264 -0.783242 -4.50047568.516937

0.266 -0.791966 -4.34695969.146869

0.268 -0.800381 -4.19173469.7500990.27 -0.808483 -4.03485970.326904

0.272 -0.816269 -3.87639770.877566

0.274 -0.823737 -3.71640871.402371

0.276 -0.830882 -3.55495571.901607

0.278 -0.837702 -3.39210372.375563

0.28 -0.844195 -3.22791372.824528

0.282 -0.850358 -3.06245173.248788

0.284 -0.856188 -2.89578173.648623

7/21/2019 Phys273 hw3


0.286 -0.861684 -2.727968 74.02431

0.288 -0.866842 -2.55907874.376117

0.29 -0.871661 -2.38917774.704305

0.292 -0.87614 -2.218331 75.009123

0.294 -0.880275 -2.04660875.290811

0.296 -0.884066 -1.87407475.549594

0.298 -0.887511 -1.70079775.785686

0.3 -0.890609 -1.52684575.999285

0.302 -0.893358 -1.35228576.190574

0.304 -0.895757 -1.17718776.359718

0.306 -0.897805 -1.00161976.506868

0.308 -0.899502 -0.82564976.632154

0.31 -0.900846 -0.64934776.735689

0.312 -0.901838 -0.47278176.817567

0.314 -0.902476 -0.29602 76.87786

0.316 -0.90276 -0.119135 76.916623

0.318 -0.902691 0.057805876.933889

0.32 -0.902267 0.234733276.929672

0.322 -0.90149 0.411577676.903964

0.324 -0.90036 0.588269776.856738

0.326 -0.898876 0.764740276.787946

0.328 -0.89704 0.940919976.697519

0.33 -0.894852 1.1167397 76.58537

0.332 -0.892312 1.292130676.451391

0.334 -0.889423 1.467023876.295455

0.336 -0.886184 1.641350776.117419

0.338 -0.882598 1.815042875.917118

0.34 -0.878665 1.98803275.694374

0.342 -0.874387 2.160250475.448991

0.344 -0.869766 2.331630375.180757

0.346 -0.864803 2.502104474.889448

0.348 -0.859501 2.671605974.574824

0.35 -0.853861 2.84006874.236637

0.352 -0.847885 3.007424773.874623

0.354 -0.841576 3.173610173.488514

0.356 -0.834937 3.338559 73.07803

0.358 -0.827969 3.502206672.642885

0.36 -0.820676 3.664488572.182791

0.362 -0.81306 3.825340971.697453

0.364 -0.805125 3.9847007 71.186575 31.6227770.366 -0.796873 4.142505170.649861

0.368 -0.788307 4.298692170.087019

0.37 -0.779432 4.453200369.497755

0.372 -0.77025 4.605969 68.881786

0.374 -0.760765 4.756937968.238831

0.376 -0.750981 4.906047967.568621

0.378 -0.740901 5.053240166.870897

0.38 -0.73053 5.198456866.145412

7/21/2019 Phys273 hw3


0.382 -0.719872 5.341640765.391933

0.384 -0.70893 5.482735564.610245

0.386 -0.697709 5.6216858 63.80015

0.388 -0.686214 5.7584368 62.96147

0.39 -0.674449 5.892934862.094051

0.392 -0.662418 6.025126861.197759

0.394 -0.650127 6.1549607 60.27249

0.396 -0.63758 6.282385659.318163

0.398 -0.624782 6.407351258.334729

0.4 -0.611738 6.529808457.322169

0.402 -0.598453 6.649708956.280496

0.404 -0.584933 6.767005755.209755

0.406 -0.571182 6.881652554.110028

0.408 -0.557207 6.993604252.981434

0.41 -0.543012 7.102816751.824128

0.412 -0.528604 7.209247150.638304

0.414 -0.513988 7.312853549.424195

0.416 -0.49917 7.413595248.182077

0.418 -0.484155 7.511432446.912265

0.42 -0.468949 7.606326745.615118

0.422 -0.45356 7.698240844.291035

0.424 -0.437991 7.787138542.940461

0.426 -0.422251 7.872984841.563883

0.428 -0.406344 7.955746 40.16183

0.43 -0.390278 8.035389438.734876

0.432 -0.374058 8.111883937.283638

0.434 -0.357691 8.185199235.808776

0.436 -0.341183 8.255306634.310991

0.438 -0.324541 8.322178532.791027

0.44 -0.307772 8.385788631.249668

0.442 -0.290882 8.446111929.687741

0.444 -0.273877 8.503124728.106108

0.446 -0.256765 8.556804726.505671

0.448 -0.239552 8.6071306 24.88737

0.45 -0.222244 8.654082723.252176

0.452 -0.20485 8.697642621.601096

0.454 -0.187375 8.737793119.935171

0.456 -0.169826 8.774518618.255466

0.458 -0.152211 8.8078045 16.56308

0.46 -0.134536 8.837637914.8591340.462 -0.116808 8.864006913.144775

0.464 -0.099034 8.886901211.421169

0.466 -0.081222 8.9063129.6895028

0.468 -0.063377 8.9222314 7.95098

0.47 -0.045508 8.93465346.2068178

0.472 -0.027621 8.94357294.4582452

0.474 -0.009723 8.94898662.7065005

0.476 0.0081789 8.95089230.9528285

7/21/2019 Phys273 hw3


0.478 0.0260775 8.9492893 -0.801522

0.48 0.0439658 8.9441781 -2.555302

0.482 0.061837 8.9355608 -4.307263

0.484 0.0796839 8.9234407 -6.05616

0.486 0.0974995 8.9078227 -7.800756

0.488 0.115277 8.8887128 -9.539823

0.49 0.1330094 8.8661185 -11.27214

0.492 0.1506896 8.8400487 -12.99652

0.494 0.1683109 8.8105135 -14.71176

0.496 0.1858662 8.7775246 -16.4167

0.498 0.2033488 8.7410948 -18.11019

0.5 0.2207518 8.7012384 -19.79113

0.502 0.2380685 8.6579711 -21.4584

0.504 0.255292 8.6113096 -23.11095

0.506 0.2724156 8.5612724 -24.74774

0.508 0.2894327 8.5078789 -26.36776

0.51 0.3063366 8.4511501 -27.97004

0.512 0.3231207 8.3911082 -29.55364

0.514 0.3397784 8.3277765 -31.11767

0.516 0.3563033 8.2611799 -32.66126

0.518 0.3726889 8.1913445 -34.18359

0.52 0.3889289 8.1182975 -35.68387

0.522 0.4050168 8.0420674 -37.16136

0.524 0.4209465 7.9626841 -38.61536

0.526 0.4367117 7.8801786 -40.0452

0.528 0.4523063 7.7945831 -41.45028

0.53 0.4677241 7.7059311 -42.83002

0.532 0.4829592 7.6142571 -44.18389

0.534 0.4980057 7.5195971 -45.51139

0.536 0.5128576 7.421988 -46.81209

0.538 0.5275093 7.3214679 -48.08559

0.54 0.5419549 7.2180761 -49.33151

0.542 0.5561888 7.111853 -50.54955

0.544 0.5702056 7.0028399 -51.73943

0.546 0.5839997 6.8910796 -52.9009

0.548 0.5975657 6.7766157 -54.03378

0.55 0.6108984 6.6594928 -55.1379

0.552 0.6239925 6.5397568 -56.21315

0.554 0.636843 6.4174542 -57.25943

0.556 0.6494448 6.292633 -58.27670.558 0.661793 6.1653418 -59.26494

0.56 0.6738828 6.0356304 -60.22417

0.562 0.6857094 5.9035494 -61.15442

0.564 0.6972683 5.7691503 -62.05578

0.566 0.7085549 5.6324857 -62.92834

0.568 0.7195648 5.493609 -63.77224

0.57 0.7302936 5.3525743 -64.58762

0.572 0.7407373 5.2094367 -65.37466

7/21/2019 Phys273 hw3


0.574 0.7508916 5.0642522 -66.13355

0.576 0.7607527 4.9170775 -66.86451

0.578 0.7703165 4.76797 -67.56775

0.58 0.7795795 4.6169879 -68.24352

0.582 0.7885379 4.4641903 -68.89208

0.584 0.7971882 4.3096369 -69.5137

0.586 0.8055271 4.153388 -70.10864

0.588 0.8135512 3.9955047 -70.6772

0.59 0.8212573 3.8360487 -71.21965

0.592 0.8286424 3.6750822 -71.73629

0.594 0.8357037 3.5126683 -72.22742

0.596 0.8424383 3.3488704 -72.69333

0.598 0.8488435 3.1837525 -73.1343

0.6 0.8549168 3.0173792 -73.55063

0.602 0.8606557 2.8498155 -73.9426

0.604 0.8660581 2.681127 -74.31048

0.606 0.8711218 2.5113796 -74.65456

0.608 0.8758446 2.3406397 -74.97508

0.61 0.8802248 2.1689742 -75.27229

0.612 0.8842606 1.9964501 -75.54645

0.614 0.8879503 1.823135 -75.79776

0.616 0.8912925 1.6490968 -76.02644

0.618 0.8942857 1.4744034 -76.23269

0.62 0.8969289 1.2991234 -76.41668

0.622 0.8992208 1.1233254 -76.57859

0.624 0.9011606 0.9470781 -76.71855

0.626 0.9027474 0.7704506 -76.83668

0.628 0.9039805 0.5935122 -76.93311

0.63 0.9048595 0.416332 -77.00791

0.632 0.905384 0.2389795 -77.06116

0.634 0.9055535 0.0615242 -77.0929

0.636 0.9053682 -0.115964 -77.10316

0.638 0.9048279 -0.293416 -77.09195

0.64 0.9039328 -0.470763 -77.05925

0.642 0.9026833 -0.647934 -77.00502

0.644 0.9010797 -0.824859 -76.92922

0.646 0.8991226 -1.001471 -76.83176

0.648 0.8968128 -1.177699 -76.71256

0.65 0.8941512 -1.353474 -76.57149

0.652 0.8911386 -1.528728 -76.408430.654 0.8877762 -1.703391 -76.22321

0.656 0.8840654 -1.877395 -76.01568

0.658 0.8800075 -2.050672 -75.78563

0.66 0.875604 -2.223154 -75.53288

0.662 0.8708566 -2.394772 -75.25719

0.664 0.8657673 -2.56546 -74.95834

0.666 0.8603378 -2.73515 -74.63609

0.668 0.8545703 -2.903776 -74.29017

7/21/2019 Phys273 hw3


0.67 0.8484671 -3.071272 -73.92031

0.672 0.8420305 -3.237572 -73.52625

0.674 0.8352629 -3.40261 -73.10769

0.676 0.828167 -3.566321 -72.66435

0.678 0.8207456 -3.728642 -72.19592

0.68 0.8130015 -3.889508 -71.70212

0.682 0.8049377 -4.048856 -71.18264

0.684 0.7965575 -4.206624 -70.63717

0.686 0.787864 -4.36275 -70.06543

0.688 0.7788606 -4.517171 -69.46713

0.69 0.7695509 -4.669828 -68.84196

0.692 0.7599385 -4.82066 -68.18965

0.694 0.7500271 -4.969607 -67.50993

0.696 0.7398207 -5.116613 -66.80254

0.698 0.7293232 -5.261618 -66.06724

0.7 0.7185387 -5.404565 -65.30378

0.702 0.7074716 -5.545399 -64.51197

0.704 0.696126 -5.684063 -63.69159

0.706 0.6845065 -5.820504 -62.84249

0.708 0.6726176 -5.954667 -61.9645

0.71 0.6604641 -6.0865 -61.05749

0.712 0.6480506 -6.215951 -60.12137

0.714 0.6353821 -6.342969 -59.15607

0.716 0.6224635 -6.467504 -58.16154

0.718 0.6092999 -6.589507 -57.13776

0.72 0.5958966 -6.708929 -56.08476

0.722 0.5822587 -6.825725 -55.0026

0.724 0.5683917 -6.939848 -53.89136

0.726 0.554301 -7.051253 -52.75118

0.728 0.5399922 -7.159896 -51.58221

0.73 0.5254708 -7.265734 -50.38467

0.732 0.5107427 -7.368726 -49.1588

0.734 0.4958136 -7.468832 -47.90488

0.736 0.4806895 -7.566011 -46.62325

0.738 0.4653762 -7.660227 -45.31428

0.74 0.4498798 -7.75144 -43.97839

0.742 0.4342065 -7.839617 -42.61602

0.744 0.4183624 -7.924721 -41.22769

0.746 0.4023537 -8.00672 -39.81393

0.748 0.3861867 -8.085582 -38.375340.75 0.3698679 -8.161274 -36.91255

0.752 0.3534036 -8.233768 -35.42624

0.754 0.3368004 -8.303035 -33.91712

0.756 0.3200648 -8.369048 -32.38596

0.758 0.3032034 -8.431781 -30.83355

0.76 0.2862228 -8.491209 -29.26074

0.762 0.2691297 -8.547309 -27.66841

0.764 0.2519309 -8.600058 -26.05747

7/21/2019 Phys273 hw3


0.766 0.234633 -8.649436 -24.42888

0.768 0.217243 -8.695424 -22.78364

0.77 0.1997677 -8.738004 -21.12275

0.772 0.1822139 -8.777159 -19.44728

0.774 0.1645885 -8.812872 -17.75831

0.776 0.1468986 -8.845132 -16.05695

0.778 0.1291509 -8.873924 -14.34434

0.78 0.1113526 -8.899238 -12.62163

0.782 0.0935105 -8.921063 -10.89002

0.784 0.0756318 -8.939391 -9.150684

0.786 0.0577234 -8.954215 -7.404854

0.788 0.0397924 -8.965528 -5.653754

0.79 0.0218457 -8.973328 -3.898623

0.792 0.0038905 -8.977609 -2.14071

0.794 -0.014066 -8.978372 -0.381268

0.796 -0.032017 -8.9756151.3784461

0.798 -0.049956 -8.96934 3.137176

0.8 -0.067875 -8.9595484.8936668

0.802 -0.085768 -8.9462456.6466688

0.804 -0.103627 -8.9294348.3949398

0.806 -0.121445 -8.90912310.137248

0.808 -0.139216 -8.88532 11.872375

0.81 -0.156932 -8.85803413.599117

0.812 -0.174587 -8.82727515.316287

0.814 -0.192173 -8.79305617.022721

0.816 -0.209684 -8.75539 18.717274

0.818 -0.227114 -8.71429220.398829

0.82 -0.244454 -8.66977822.066294

0.822 -0.261699 -8.62186523.718606

0.824 -0.278841 -8.57057225.354734

0.826 -0.295874 -8.51591926.973676

0.828 -0.312792 -8.45792828.574469

0.83 -0.329587 -8.39662 30.156183

0.832 -0.346253 -8.33202131.717925

0.834 -0.362784 -8.26415633.258842

0.836 -0.379174 -8.19305 34.778119

0.838 -0.395415 -8.11873236.274983

0.84 -0.411501 -8.041231 37.7487

0.842 -0.427427 -7.96057639.198582

0.844 -0.443185 -7.876801 40.623980.846 -0.458771 -7.78993642.024289

0.848 -0.474177 -7.70001743.398949

0.85 -0.489398 -7.60707944.747442

0.852 -0.504428 -7.51115746.069293

0.854 -0.519261 -7.412289 47.36407

0.856 -0.533891 -7.31051448.631386

0.858 -0.548313 -7.20587149.870895

0.86 -0.56252 -7.098402 51.082293

7/21/2019 Phys273 hw3


0.862 -0.576508 -6.98814852.265316

0.864 -0.59027 -6.875152 53.419743

0.866 -0.603802 -6.759459 54.54539

0.868 -0.617099 -6.64111455.642113

0.87 -0.630154 -6.52016356.709805

0.872 -0.642964 -6.39665257.748394

0.874 -0.655522 -6.27063258.757843

0.876 -0.667824 -6.142149 59.73815

0.878 -0.679866 -6.01125660.689341

0.88 -0.691642 -5.87800261.611476

0.882 -0.703148 -5.74244 62.504643

0.884 -0.714379 -5.60462363.368953

0.886 -0.725332 -5.46460564.204547

0.888 -0.736001 -5.32244 65.011587

0.89 -0.746382 -5.17818465.790257

0.892 -0.756473 -5.031893 66.54076

0.894 -0.766267 -4.88362467.263317

0.896 -0.775763 -4.73343667.958166

0.898 -0.784955 -4.58138668.625558

0.9 -0.793841 -4.42753569.265756

0.902 -0.802416 -4.27194269.879035

0.904 -0.810678 -4.11466970.465676

0.906 -0.818624 -3.95577671.025967

0.908 -0.826249 -3.79532671.560203

0.91 -0.833551 -3.633381 72.06868

0.912 -0.840528 -3.47000572.551695

0.914 -0.847176 -3.30526173.009545

0.916 -0.853493 -3.13921573.442525

0.918 -0.859476 -2.97193 73.850926

0.92 -0.865123 -2.80347374.235034

0.922 -0.870431 -2.63390974.595126

0.924 -0.875399 -2.46330574.931473

0.926 -0.880025 -2.29172675.244335

0.928 -0.884306 -2.11924175.533961

0.93 -0.888241 -1.94591775.800589

0.932 -0.891829 -1.77182276.044441

0.934 -0.895068 -1.59702476.265727

0.936 -0.897956 -1.42159 76.464639

0.938 -0.900492 -1.24559176.641353

0.94 -0.902676 -1.06909476.7960290.942 -0.904507 -0.89217 76.928807

0.944 -0.905983 -0.714887 77.03981

0.946 -0.907104 -0.537314 77.12914

0.948 -0.90787 -0.359521 77.19688

0.95 -0.90828 -0.181579 77.243092

0.952 -0.908334 -0.00355677.267817

0.954 -0.908032 0.174477777.271078

0.956 -0.907374 0.35245277.252872

7/21/2019 Phys273 hw3


0.958 -0.906361 0.530297477.213181

0.96 -0.904991 0.707944177.151961

0.962 -0.903267 0.8853224 77.06915

0.964 -0.901189 1.062362876.964665

0.966 -0.898757 1.238995876.838403

0.968 -0.895972 1.415152276.690241

0.97 -0.892836 1.590762776.520038

0.972 -0.889349 1.765758576.327632

0.974 -0.885513 1.940070876.112846

0.976 -0.881329 2.113631375.875484

0.978 -0.876799 2.286371875.615337

0.98 -0.871925 2.458224575.332178

0.982 -0.866709 2.629121975.025766

0.984 -0.861152 2.7989968 74.69585

0.986 -0.855256 2.967782674.342166

0.988 -0.849025 3.135412873.964438

0.99 -0.84246 3.301821773.562383

0.992 -0.835564 3.466943973.135712

0.994 -0.828339 3.630714472.684127

0.996 -0.820789 3.793068872.207327

0.998 -0.812916 3.9539435 71.70501

1 -0.804723 4.11327571.176871

1.002 -0.796214 4.271000770.622606

1.004 -0.787392 4.427058770.041914

1.006 -0.77826 4.581387669.434499

1.008 -0.768822 4.7339266 68.80007

1.01 -0.759082 4.884615768.138346

1.012 -0.749043 5.033395867.449054

1.014 -0.738709 5.180208266.731933

1.016 -0.728085 5.324995265.986738

1.018 -0.717174 5.467699865.213239

1.02 -0.705981 5.608265964.411222

1.022 -0.69451 5.746638163.580494

1.024 -0.682766 5.882762162.720884

1.026 -0.670753 6.016584261.832243

1.028 -0.658476 6.1480518 60.91445

1.03 -0.64594 6.277113159.967407

1.032 -0.63315 6.403717458.991049

1.034 -0.620111 6.527814857.985337

1.036 -0.606827 6.649356556.9502691.038 -0.593305 6.768294655.885872

1.04 -0.579549 6.8845823 54.79221

1.042 -0.565565 6.99817453.669385

1.044 -0.551359 7.109024852.517534

1.046 -0.536936 7.217091151.336835

1.048 -0.522301 7.322330550.127505

1.05 -0.507461 7.424701548.889801

1.052 -0.492421 7.524163747.624025

7/21/2019 Phys273 hw3


1.054 -0.477187 7.620678246.330517

1.056 -0.461766 7.714206945.009664

1.058 -0.446163 7.804712943.661895

1.06 -0.430384 7.892160842.287683

1.062 -0.414436 7.976516140.887544

1.064 -0.398325 8.057745639.462041

1.066 -0.382058 8.135817338.011777

1.068 -0.36564 8.210700636.537402

1.07 -0.349078 8.282366135.039608

1.072 -0.33238 8.350785433.519129

1.074 -0.31555 8.415931831.976743

1.076 -0.298597 8.477779730.413267

1.078 -0.281526 8.5363046 28.82956

1.08 -0.264344 8.591483627.226519

1.082 -0.247059 8.643295125.605078

1.084 -0.229676 8.691718623.966207

1.086 -0.212204 8.736735222.310914

1.088 -0.194648 8.778327120.640236

1.09 -0.177015 8.81647818.955243

1.092 -0.159313 8.85117317.257033

1.094 -0.141549 8.882398415.546732

1.096 -0.123729 8.910141913.825492

1.098 -0.10586 8.934392712.094484

1.1 -0.08795 8.955141310.354904

1.102 -0.070005 8.97237948.6079617

1.104 -0.052033 8.98610046.8548849

1.106 -0.03404 8.99629885.0969129

1.108 -0.016034 9.00297073.3352957

1.11 0.001978 9.00611341.5712906

1.112 0.0199894 9.0057257 -0.19384

1.114 0.037993 9.0018078 -1.958832

1.116 0.0559818 8.9943612 -3.722421

1.118 0.0739485 8.9833887 -5.483347

1.12 0.0918864 8.9688948 -7.240354

1.122 0.1097882 8.9508851 -8.992197

1.124 0.127647 8.9293666 -10.73764

1.126 0.1454558 8.9043478 -12.47546

1.128 0.1632077 8.8758385 -14.20446

1.13 0.1808957 8.8438497 -15.92344

1.132 0.1985129 8.8083942 -17.631251.134 0.2160523 8.7694857 -19.32674

1.136 0.2335073 8.7271394 -21.00879

1.138 0.2508709 8.681372 -22.67632

1.14 0.2681363 8.6322013 -24.32827

1.142 0.2852968 8.5796466 -25.96361

1.144 0.3023458 8.5237284 -27.58135

1.146 0.3192765 8.4644686 -29.18052

1.148 0.3360824 8.4018904 -30.76021

7/21/2019 Phys273 hw3


1.15 0.3527569 8.3360183 -32.31954

1.152 0.3692935 8.2668779 -33.85766

1.154 0.3856858 8.1944964 -35.37376

1.156 0.4019273 8.1189019 -36.86708

1.158 0.4180118 8.0401242 -38.3369

1.16 0.4339329 7.9581939 -39.78253

1.162 0.4496845 7.873143 -41.20336

1.164 0.4652604 7.7850049 -42.59878

1.166 0.4806545 7.6938138 -43.96824

1.168 0.4958609 7.5996056 -45.31124

1.17 0.5108736 7.5024168 -46.62733

1.172 0.5256868 7.4022856 -47.91607

1.174 0.5402946 7.299251 -49.1771

1.176 0.5546915 7.1933532 -50.41009

1.178 0.5688717 7.0846337 -51.61474

1.18 0.5828298 6.9731349 -52.79082

1.182 0.5965604 6.8589002 -53.9381

1.184 0.6100579 6.7419744 -55.05643

1.186 0.6233173 6.622403 -56.14566

1.188 0.6363333 6.5002328 -57.20572

1.19 0.6491008 6.3755115 -58.23654

1.192 0.6616149 6.2482878 -59.23809

1.194 0.6738706 6.1186112 -60.21039

1.196 0.6858632 5.9865326 -61.15349

1.198 0.697588 5.8521034 -62.06744

1.2 0.7090404 5.7153762 -62.95236

1.202 0.7202159 5.5764042 -63.80836

1.204 0.7311102 5.4352419 -64.6356

1.206 0.7417189 5.2919443 -65.43426

1.208 0.752038 5.1465674 -66.20452

1.21 0.7620634 4.999168 -66.9466

1.212 0.771791 4.8498035 -67.66073

1.214 0.7812173 4.6985325 -68.34715

1.216 0.7903383 4.5454139 -69.00614

1.218 0.7991506 4.3905076 -69.63795

1.22 0.8076506 4.2338741 -70.24288

1.222 0.8158351 4.0755746 -70.8212

1.224 0.8237007 3.9156709 -71.37321

1.226 0.8312445 3.7542255 -71.89922

1.228 0.8384633 3.5913016 -72.399531.23 0.8453544 3.4269628 -72.87442

1.232 0.8519151 3.2612733 -73.32422

1.234 0.8581426 3.094298 -73.74921

1.236 0.8640346 2.926102 -74.14968

1.238 0.8695887 2.7567512 -74.52594

1.24 0.8748027 2.5863119 -74.87824

1.242 0.8796745 2.4148505 -75.20687

1.244 0.8842022 2.2424343 -75.51208

7/21/2019 Phys273 hw3


1.246 0.8883839 2.0691307 -75.79413

1.248 0.8922179 1.8950075 -76.05324

1.25 0.8957028 1.7201327 -76.28965

1.252 0.898837 1.544575 -76.50355

1.254 0.9016194 1.368403 -76.69514

1.256 0.9040487 1.1916856 -76.86459

1.258 0.9061241 1.014492 -77.01205

1.26 0.9078445 0.8368917 -77.13766

1.262 0.9092093 0.6589542 -77.24154

1.264 0.9102179 0.4807491 -77.32378

1.266 0.9108699 0.3023464 -77.38447

1.268 0.9111649 0.1238159 -77.42366

1.27 0.9111027 -0.054772 -77.44138

1.272 0.9106834 -0.233349 -77.43765

1.274 0.9099071 -0.411842 -77.41246

1.276 0.908774 -0.590184 -77.36578

1.278 0.9072844 -0.768304 -77.29757

1.28 0.905439 -0.946132 -77.20775

1.282 0.9032383 -1.123598 -77.09623

1.284 0.9006833 -1.300632 -76.9629

1.286 0.8977748 -1.477166 -76.80764

1.288 0.8945139 -1.65313 -76.63029

1.29 0.8909019 -1.828455 -76.43068

1.292 0.8869402 -2.003072 -76.20863

1.294 0.8826302 -2.176912 -75.96394

1.296 0.8779736 -2.349908 -75.69638

1.298 0.8729721 -2.52199 -75.40572

1.3 0.8676278 -2.693093 -75.09172

1.302 0.8619426 -2.863148 -74.75412

1.304 0.8559187 -3.032089 -74.39264

1.306 0.8495585 -3.199849 -74.007

1.308 0.8428644 -3.366362 -73.59692

1.31 0.8358391 -3.531564 -73.16209

1.312 0.8284851 -3.695388 -72.70222

1.314 0.8208055 -3.857771 -72.217

1.316 0.8128031 -4.018649 -71.70612

1.318 0.8044811 -4.177958 -71.16927

1.32 0.7958428 -4.335637 -70.60615

1.322 0.7868915 -4.491622 -70.01645

1.324 0.7776306 -4.645853 -69.399871.326 0.7680639 -4.798268 -68.75612

1.328 0.758195 -4.948809 -68.08491

1.33 0.7480278 -5.097415 -67.38598

1.332 0.7375664 -5.244028 -66.65905

1.334 0.7268147 -5.388591 -65.9039

1.336 0.715777 -5.531047 -65.12028

1.338 0.7044577 -5.671339 -64.30799

1.34 0.6928612 -5.809413 -63.46683

7/21/2019 Phys273 hw3


1.342 0.680992 -5.945214 -62.59664

1.344 0.6688547 -6.078688 -61.69727

1.346 0.6564543 -6.209784 -60.76861

1.348 0.6437955 -6.338449 -59.81057

1.35 0.6308833 -6.464633 -58.82308

1.352 0.6177228 -6.588286 -57.80611

1.354 0.6043192 -6.70936 -56.75967

1.356 0.5906777 -6.827806 -55.68379

1.358 0.5768038 -6.943579 -54.57856

1.36 0.5627029 -7.056633 -53.44407

1.362 0.5483805 -7.166922 -52.28048

1.364 0.5338423 -7.274405 -51.08797

1.366 0.519094 -7.379038 -49.86679

1.368 0.5041415 -7.48078 -48.61718

1.37 0.4889905 -7.579592 -47.33948

1.372 0.4736472 -7.675434 -46.03403

1.374 0.4581176 -7.768269 -44.70123

1.376 0.4424076 -7.85806 -43.34153

1.378 0.4265237 -7.944772 -41.95542

1.38 0.410472 -8.028371 -40.54343

1.382 0.3942588 -8.108823 -39.10613

1.384 0.3778906 -8.186098 -37.64415

1.386 0.3613738 -8.260165 -36.15815

1.388 0.3447148 -8.330994 -34.64884

1.39 0.3279204 -8.398558 -33.11697

1.392 0.310997 -8.46283 -31.56334

1.394 0.2939514 -8.523786 -29.98878

1.396 0.2767903 -8.5814 -28.39417

1.398 0.2595203 -8.635651 -26.78041

1.4 0.2421484 -8.686517 -25.14846

1.402 0.2246814 -8.733978 -23.49932

1.404 0.2071261 -8.778016 -21.83399

1.406 0.1894895 -8.818612 -20.15353

1.408 0.1717784 -8.855752 -18.45904

1.41 0.1539999 -8.889421 -16.75162

1.412 0.1361609 -8.919605 -15.03241

1.414 0.1182685 -8.946292 -13.30258

1.416 0.1003297 -8.969473 -11.56331

1.418 0.0823515 -8.989138 -9.81582

1.42 0.0643409 -9.005279 -8.0613241.422 0.0463052 -9.017889 -6.301062

1.424 0.0282513 -9.026965 -4.536286

1.426 0.0101862 -9.032502 -2.768254

1.428 -0.007883 -9.034499 -0.998235

1.43 -0.025949 -9.0329540.7725016

1.432 -0.044004 -9.0278682.5426832

1.434 -0.062043 -9.0192434.3110392

1.436 -0.080057 -9.007083 6.076303

7/21/2019 Phys273 hw3


1.438 -0.09804 -8.991392 7.8372149

1.44 -0.115984 -8.9721769.5925246

1.442 -0.133883 -8.94944311.340994

1.444 -0.15173 -8.923202 13.0814

1.446 -0.169517 -8.89346314.812536

1.448 -0.187238 -8.86023716.533217

1.45 -0.204885 -8.82353918.242276

1.452 -0.222453 -8.78338119.938576

1.454 -0.239933 -8.73978 21.621002

1.456 -0.257319 -8.692754 23.28847

1.458 -0.274605 -8.64231924.939925

1.46 -0.291783 -8.58849626.574347

1.462 -0.308848 -8.53130728.190748

1.464 -0.325791 -8.47077329.788177

1.466 -0.342607 -8.40691831.365719

1.468 -0.359289 -8.339767 32.9225

1.47 -0.375831 -8.26934634.457683

1.472 -0.392226 -8.19568335.970476

1.474 -0.408467 -8.11880737.460124

1.476 -0.424549 -8.03874738.925917

1.478 -0.440465 -7.955536 40.36719

1.48 -0.456209 -7.86920441.783318

1.482 -0.471775 -7.77978743.173723

1.484 -0.487156 -7.68732 44.537869

1.486 -0.502348 -7.59183745.875266

1.488 -0.517342 -7.49337747.185465

1.49 -0.532135 -7.39197848.468066

1.492 -0.54672 -7.287679 49.722706

1.494 -0.561092 -7.180522 50.94907

1.496 -0.575244 -7.07054852.146881

1.498 -0.589172 -6.9578 53.315907

1.5 -0.60287 -6.84232254.455954

1.502 -0.616332 -6.72416 55.566868

1.504 -0.629554 -6.60335956.648534

1.506 -0.64253 -6.479966 57.700872

1.508 -0.655255 -6.35403 58.723839

1.51 -0.667724 -6.2256 59.717427

1.512 -0.679933 -6.09472660.681659

1.514 -0.691876 -5.96145961.616589

1.516 -0.703549 -5.82585262.5223041.518 -0.714947 -5.68795663.398914

1.52 -0.726066 -5.54782764.246559

1.522 -0.736901 -5.40551865.065399

1.524 -0.747449 -5.26108565.855621

1.526 -0.757704 -5.114585 66.61743

1.528 -0.767664 -4.966075 67.35105

1.53 -0.777324 -4.81561368.056721

1.532 -0.78668 -4.663258 68.734699

7/21/2019 Phys273 hw3


1.534 -0.795729 -4.50906869.385252

1.536 -0.804467 -4.353105 70.00866

1.538 -0.812891 -4.19543 70.605211

1.54 -0.820997 -4.03610371.175202

1.542 -0.828783 -3.87518871.718931

1.544 -0.836244 -3.71274672.236705

1.546 -0.843379 -3.54884272.728829

1.548 -0.850184 -3.38354 73.195609

1.55 -0.856656 -3.21690473.637348

1.552 -0.862794 -3.04974.054348

1.554 -0.868594 -2.87989274.446903

1.556 -0.874054 -2.70964874.815303

1.558 -0.879173 -2.53833375.159828

1.56 -0.883948 -2.36601575.480748

1.562 -0.888377 -2.19276175.778323

1.564 -0.892458 -2.01864 76.052801

1.566 -0.89619 -1.843718 76.304416

1.568 -0.899571 -1.66806476.533388

1.57 -0.902601 -1.49174976.739919

1.572 -0.905276 -1.31483976.924196

1.574 -0.907598 -1.137405 77.08639

1.576 -0.909564 -0.959515 77.22665

1.578 -0.911173 -0.78124177.345109

1.58 -0.912426 -0.60265177.441879

1.582 -0.913321 -0.42381677.517052

1.584 -0.913859 -0.24480577.570698

1.586 -0.914038 -0.06568877.602868

1.588 -0.913859 0.11346377.613592

1.59 -0.913321 0.292579377.602876

1.592 -0.912426 0.471590377.570706

1.594 -0.911173 0.650425777.517047

1.596 -0.909562 0.829015677.441842

1.598 -0.907595 1.007289777.345014

1.6 -0.905271 1.185178377.226464

1.602 -0.902592 1.362611477.086072

1.604 -0.899559 1.539519576.923702

1.606 -0.896173 1.715833276.739194

1.608 -0.892436 1.891483276.532373

1.61 -0.888348 2.066400676.303044

1.612 -0.88391 2.240516776.0509971.614 -0.879126 2.413763175.776007

1.616 -0.873997 2.586071975.477831

1.618 -0.868524 2.757375375.156215

1.62 -0.86271 2.927606 74.810891

1.622 -0.856557 3.096697274.441583

1.624 -0.850068 3.264582474.048002

1.626 -0.843244 3.431195773.629852

1.628 -0.836089 3.5964715 73.18683

7/21/2019 Phys273 hw3


1.63 -0.828605 3.7603449 72.71863

1.632 -0.820795 3.922751572.224939

1.634 -0.812663 4.083627371.705445

1.636 -0.804211 4.242909371.159835

1.638 -0.795443 4.400534770.587798

1.64 -0.786362 4.556441569.989027

1.642 -0.776972 4.7105685 69.36322

1.644 -0.767276 4.862854968.710081

1.646 -0.757278 5.013240968.029327

1.648 -0.746982 5.161667467.320684

1.65 -0.736392 5.308075866.583891

1.652 -0.725513 5.452408865.818703

1.654 -0.714348 5.594609365.024891

1.656 -0.702902 5.734621564.202248

1.658 -0.691179 5.872390363.350586

1.66 -0.679185 6.007861562.469739

1.662 -0.666923 6.140981761.559568

1.664 -0.654398 6.271698560.619961

1.666 -0.641616 6.399960659.650832

1.668 -0.628582 6.525717458.652126

1.67 -0.6153 6.6489194 57.623823

1.672 -0.601776 6.769518256.565933

1.674 -0.588015 6.887466255.478502

1.676 -0.574022 7.002717154.361613

1.678 -0.559804 7.115225553.215386

1.68 -0.545365 7.224947152.039981

1.682 -0.530712 7.331838750.835599

1.684 -0.51585 7.4358583 49.60248

1.686 -0.500785 7.53696548.340908

1.688 -0.485523 7.635118947.051209

1.69 -0.47007 7.730281445.733753

1.692 -0.454432 7.82241544.388953

1.694 -0.438615 7.9114836 43.01727

1.696 -0.422625 7.997452141.619205

1.698 -0.40647 8.080286740.195308

1.7 -0.390154 8.1599548 38.74617

1.702 -0.373685 8.236425 37.27243

1.704 -0.357069 8.3096672 35.77477

1.706 -0.340313 8.379652834.253914

1.708 -0.323423 8.446354132.7106311.71 -0.306405 8.509744931.145733

1.712 -0.289268 8.569800429.560069

1.714 -0.272016 8.626496827.954534

1.716 -0.254658 8.67981226.330056

1.718 -0.2372 8.7297249 24.687605

1.72 -0.219648 8.77621623.028184

1.722 -0.20201 8.819267 21.352832

1.724 -0.184293 8.85886119.662618

7/21/2019 Phys273 hw3


1.726 -0.166503 8.894982417.958644

1.728 -0.148648 8.927617116.242038

1.73 -0.130735 8.956752214.513957

1.732 -0.112771 8.982376312.775578

1.734 -0.094762 9.004479311.028103

1.736 -0.076716 9.02305269.2727508

1.738 -0.058639 9.03808887.5107581

1.74 -0.04054 9.0495822 5.743375

1.742 -0.022425 9.05752813.9718628

1.744 -0.004301 9.06192342.1974917

1.746 0.0138241 9.06276650.4215377

1.748 0.0319442 9.060057 -1.35472

1.75 0.0500518 9.0537959 -3.130002

1.752 0.0681398 9.0439858 -4.903031

1.754 0.0862011 9.0306304 -6.672534

1.756 0.1042286 9.0137349 -8.437248

1.758 0.1222153 8.9933061 -10.19592

1.76 0.1401541 8.9693519 -11.9473

1.762 0.158038 8.9418817 -13.69018

1.764 0.1758601 8.9109063 -15.42334

1.766 0.1936133 8.8764377 -17.1456

1.768 0.2112908 8.8384895 -18.85579

1.77 0.2288856 8.7970765 -20.55277

1.772 0.2463908 8.7522149 -22.23545

1.774 0.2637996 8.7039223 -23.90272

1.776 0.2811052 8.6522176 -25.55356

1.778 0.2983009 8.597121 -27.18693

1.78 0.31538 8.538654 -28.80187

1.782 0.3323357 8.4768395 -30.39742

1.784 0.3491615 8.4117017 -31.97267

1.786 0.3658508 8.3432661 -33.52678

1.788 0.3823971 8.2715593 -35.0589

1.79 0.3987939 8.1966095 -36.56825

1.792 0.4150349 8.1184459 -38.0541

1.794 0.4311137 8.0370991 -39.51574

1.796 0.4470241 7.9526008 -40.95252

1.798 0.4627599 7.8649841 -42.36383

1.80.4783148 7.7742831 -43.7491

1.802 0.493683 7.6805334 -45.10781

1.804 0.5088583 7.5837716 -46.439481.806 0.5238348 7.4840353 -47.74369

1.808 0.5386068 7.3813637 -49.02003

1.81 0.5531685 7.2757968 -50.26818

1.812 0.5675141 7.1673757 -51.48781

1.814 0.5816382 7.056143 -52.67868

1.816 0.5955351 6.9421419 -53.84056

1.818 0.6091995 6.825417 -54.97328

1.82 0.622626 6.7060139 -56.07669

7/21/2019 Phys273 hw3


1.822 0.6358094 6.5839792 -57.1507

1.824 0.6487446 6.4593606 -58.19524

1.826 0.6614265 6.3322066 -59.21028

1.828 0.6738501 6.202567 -60.19583

1.83 0.6860107 6.0704924 -61.15192

1.832 0.6979033 5.9360343 -62.07862

1.834 0.7095235 5.7992453 -62.97604

1.836 0.7208666 5.6601787 -63.84429

1.838 0.7319282 5.5188888 -64.68352

1.84 0.742704 5.3754309 -65.49392

1.842 0.7531898 5.2298609 -66.27566

1.844 0.7633814 5.0822357 -67.02898

1.846 0.7732748 4.9326129 -67.75411

1.848 0.7828663 4.7810511 -68.45129

1.85 0.7921519 4.6276093 -69.12079

1.852 0.8011281 4.4723475 -69.76289

1.854 0.8097912 4.3153264 -70.37787

1.856 0.818138 4.1566073 -70.96604

1.858 0.8261651 3.9962523 -71.52768

1.86 0.8338694 3.8343239 -72.06311

1.862 0.8412477 3.6708855 -72.57264

1.864 0.8482973 3.506001 -73.05659

1.866 0.8550152 3.3397347 -73.51524

1.868 0.8613989 3.1721517 -73.94893

1.87 0.8674458 3.0033175 -74.35794

1.872 0.8731534 2.8332982 -74.74258

1.874 0.8785196 2.6621601 -75.10314

1.876 0.8835422 2.4899702 -75.43989

1.878 0.8882191 2.316796 -75.75311

1.88 0.8925485 2.142705 -76.04306

1.882 0.8965287 1.9677655 -76.30998

1.884 0.900158 1.7920459 -76.55411

1.886 0.903435 1.6156149 -76.77566

1.888 0.9063583 1.4385417 -76.97484

1.89 0.9089268 1.2608954 -77.15182

1.892 0.9111394 1.0827458 -77.30677

1.894 0.9129951 0.9041625 -77.43985

1.896 0.9144932 0.7252154 -77.55117

1.898 0.9156331 0.5459747 -77.64084

1.9 0.9164142 0.3665107 -77.708951.902 0.9168362 0.1868935 -77.75557

1.904 0.9168989 0.0071936 -77.78073

1.906 0.9166021 -0.172519 -77.78447

1.908 0.915946 -0.352173 -77.76678

1.91 0.9149308 -0.531698 -77.72763

1.912 0.9135567 -0.711024 -77.667

1.914 0.9118243 -0.890082 -77.5848

1.916 0.9097342 -1.068799 -77.48096

7/21/2019 Phys273 hw3


1.918 0.9072872 -1.247107 -77.35538

1.92 0.9044841 -1.424935 -77.20791

1.922 0.9013261 -1.602214 -77.03843

1.924 0.8978143 -1.778874 -76.84675

1.926 0.89395 -1.954846 -76.63271

1.928 0.8897348 -2.13006 -76.39608

1.93 0.8851701 -2.304448 -76.13667

1.932 0.8802578 -2.477941 -75.85422

1.934 0.8749997 -2.650472 -75.5485

1.936 0.8693979 -2.821972 -75.21924

1.938 0.8634545 -2.992374 -74.86617

1.94 0.8571718 -3.161611 -74.489

1.942 0.8505522 -3.329616 -74.08744

1.944 0.8435983 -3.496325 -73.66118

1.946 0.8363128 -3.66167 -73.20992

1.948 0.8286986 -3.825587 -72.73335

1.95 0.8207585 -3.988012 -72.23114

1.952 0.8124956 -4.148881 -71.70298

1.954 0.8039133 -4.30813 -71.14855

1.956 0.7950147 -4.465697 -70.56754

1.958 0.7858035 -4.62152 -69.95964

1.96 0.7762832 -4.775537 -69.32455

1.962 0.7664574 -4.927689 -68.66196

1.964 0.7563302 -5.077915 -67.97159

1.966 0.7459053 -5.226155 -67.25317

1.968 0.735187 -5.372353 -66.50643

1.97 0.7241794 -5.516449 -65.73113

1.972 0.7128868 -5.658389 -64.92706

1.974 0.7013136 -5.798114 -64.09399

1.976 0.6894645 -5.935572 -63.23174

1.978 0.6773439 -6.070707 -62.34016

1.98 0.6649569 -6.203466 -61.4191

1.982 0.6523081 -6.333798 -60.46847

1.984 0.6394025 -6.46165 -59.48818

1.986 0.6262453 -6.586973 -58.47818

1.988 0.6128416 -6.709717 -57.43846

1.99 0.5991967 -6.829834 -56.36904

1.992 0.5853159 -6.947277 -55.26997

1.994 0.5712048 -7.061999 -54.14135

1.996 0.5568689 -7.173955 -52.983311.998 0.5423138 -7.283101 -51.79601

2 0.5275453 -7.389394 -50.57968

7/21/2019 Phys273 hw3


t x

0 1

0.001 0.99901

0.002 0.9970309

0.003 0.9940736

0.004 0.9901497

0.005 0.985272

0.006 0.9794539

0.007 0.9727097

0.008 0.9650543

0.009 0.9565037

0.01 0.9470745

0.011 0.9367839

0.012 0.9256501

0.013 0.9136916

0.014 0.9009278

0.015 0.8873789

0.016 0.8730652

0.017 0.8580081

0.018 0.8422293

5 0.019 0.8257509

0.0948683 0.02 0.8085958

0.021 0.7907872

0.022 0.7723487

0.023 0.7533045

0.024 0.7336789

0.025 0.7134969

0.026 0.6927836

0.027 0.6715644

0.028 0.6498652

0.029 0.6277119

0.03 0.6051307

0.031 0.582148

0.032 0.5587904

0.033 0.5350846

0.034 0.5110575

0.035 0.4867358

0.036 0.4621466

0.037 0.4373168

0.038 0.41227340.039 0.3870434

0.04 0.3616535

0.041 0.3361307

0.042 0.3105016

0.043 0.2847927

0.044 0.2590305

0.045 0.2332412

0.046 0.2074508

sition

Position

quency

7/21/2019 Phys273 hw3


0.047 0.1816851

0.048 0.1559695

0.049 0.1303294

0.05 0.1047896

0.051 0.0793747

0.052 0.0541091

0.053 0.0290167

0.054 0.0041209

0.055 -0.020555

0.056 -0.044989

0.057 -0.069158

0.058 -0.09304

0.059 -0.116615

0.06 -0.139862

0.061 -0.162759

0.062 -0.185289

0.063 -0.20743

0.064 -0.229165

0.065 -0.250476

0.066 -0.271345

0.067 -0.291755

0.068 -0.31169

0.069 -0.331135

0.07 -0.350074

0.071 -0.368493

0.072 -0.386378

0.073 -0.403716

0.074 -0.420496

0.075 -0.436704

0.076 -0.45233

0.077 -0.467364

0.078 -0.481796

0.079 -0.495616

0.08 -0.508818

0.081 -0.521392

0.082 -0.533332

0.083 -0.544632

0.084 -0.555287

0.085 -0.565291

0.086 -0.574640.087 -0.583331

0.088 -0.591361

0.089 -0.598729

0.09 -0.605432

0.091 -0.611469

0.092 -0.616842

0.093 -0.62155

0.094 -0.625595

2 1.3 1.4 1.5

Angular Frequenc

7/21/2019 Phys273 hw3


0.095 -0.628979

0.096 -0.631703

0.097 -0.633773

0.098 -0.63519

0.099 -0.63596

0.1 -0.636088

0.101 -0.63558

0.102 -0.634441

0.103 -0.632678

0.104 -0.630299

0.105 -0.627312

0.106 -0.623725

0.107 -0.619548

0.108 -0.614788

0.109 -0.609458

0.11 -0.603567

0.111 -0.597125

0.112 -0.590145

0.113 -0.582639

0.114 -0.574617

0.115 -0.566094

0.116 -0.557082

0.117 -0.547594

0.118 -0.537645

0.119 -0.527248

0.12 -0.516418

0.121 -0.505169

0.122 -0.493517

0.123 -0.481477

0.124 -0.469064

0.125 -0.456293

0.126 -0.443182

0.127 -0.429746

0.128 -0.416002

0.129 -0.401965

0.13 -0.387653

0.131 -0.373083

0.132 -0.358271

0.133 -0.343234

0.134 -0.327990.135 -0.312555

0.136 -0.296946

0.137 -0.281181

0.138 -0.265277

0.139 -0.249251

0.14 -0.233121

0.141 -0.216902

0.142 -0.200612

7/21/2019 Phys273 hw3


0.143 -0.184269

0.144 -0.167888

0.145 -0.151487

0.146 -0.135082

0.147 -0.11869

0.148 -0.102327

0.149 -0.086008

0.15 -0.06975

0.151 -0.053569

0.152 -0.03748

0.153 -0.021498

0.154 -0.005638

0.155 0.0100848

0.156 0.0256562

0.157 0.0410619

0.158 0.056288

0.159 0.0713211

0.16 0.0861477

0.161 0.1007549

0.162 0.1151301

0.163 0.129261

0.164 0.1431358

0.165 0.1567428

0.166 0.1700708

0.167 0.1831091

0.168 0.1958473

0.169 0.2082752

0.17 0.2203834

0.171 0.2321625

0.172 0.2436037

0.173 0.2546988

0.174 0.2654396

0.175 0.2758186

0.176 0.2858288

0.177 0.2954635

0.178 0.3047163

0.179 0.3135815

0.18 0.3220538

0.181 0.3301281

0.182 0.33780010.183 0.3450656

0.184 0.351921

0.185 0.3583632

0.186 0.3643895

0.187 0.3699976

0.188 0.3751857

0.189 0.3799523

0.19 0.3842964

7/21/2019 Phys273 hw3


0.191 0.3882176

0.192 0.3917157

0.193 0.394791

0.194 0.3974443

0.195 0.3996767

0.196 0.4014897

0.197 0.4028853

0.198 0.403866

0.199 0.4044343

0.2 0.4045935

0.201 0.4043471

0.202 0.4036989

0.203 0.4026533

0.204 0.4012149

0.205 0.3993885

0.206 0.3971796

0.207 0.3945938

0.208 0.3916371

0.209 0.3883157

0.21 0.3846362

0.211 0.3806056

0.212 0.376231

0.213 0.3715198

0.214 0.3664799

0.215 0.3611192

0.216 0.355446

0.217 0.3494687

0.218 0.343196

0.219 0.3366368

0.22 0.3298004

0.221 0.3226959

0.222 0.315333

0.223 0.3077212

0.224 0.2998705

0.225 0.2917908

0.226 0.2834923

0.227 0.2749851

0.228 0.2662798

0.229 0.2573867

0.23 0.24831650.231 0.2390798

0.232 0.2296873

0.233 0.2201497

0.234 0.210478

0.235 0.2006831

0.236 0.1907757

0.237 0.1807668

0.238 0.1706673

7/21/2019 Phys273 hw3


0.239 0.1604882

0.24 0.1502402

0.241 0.1399343

0.242 0.1295813

0.243 0.1191919

0.244 0.1087769

0.245 0.0983469

0.246 0.0879124

0.247 0.0774839

0.248 0.0670718

0.249 0.0566863

0.25 0.0463375

0.251 0.0360355

0.252 0.0257902

0.253 0.0156112

0.254 0.0055081

0.255 -0.00451

0.256 -0.014433

0.257 -0.024252

0.258 -0.033959

0.259 -0.043545

0.26 -0.053001

0.261 -0.062319

0.262 -0.071491

0.263 -0.080509

0.264 -0.089366

0.265 -0.098054

0.266 -0.106565

0.267 -0.114894

0.268 -0.123033

0.269 -0.130976

0.27 -0.138716

0.271 -0.146249

0.272 -0.153567

0.273 -0.160667

0.274 -0.167542

0.275 -0.174188

0.276 -0.1806

0.277 -0.186774

0.278 -0.1927060.279 -0.198392

0.28 -0.203828

0.281 -0.209013

0.282 -0.213941

0.283 -0.218612

0.284 -0.223022

0.285 -0.22717

0.286 -0.231054

7/21/2019 Phys273 hw3


0.287 -0.234672

0.288 -0.238023

0.289 -0.241106

0.29 -0.24392

0.291 -0.246466

0.292 -0.248742

0.293 -0.25075

0.294 -0.252489

0.295 -0.25396

0.296 -0.255164

0.297 -0.256102

0.298 -0.256776

0.299 -0.257187

0.3 -0.257338

0.301 -0.257231

0.302 -0.256867

0.303 -0.25625

0.304 -0.255383

0.305 -0.254268

0.306 -0.252909

0.307 -0.25131

0.308 -0.249474

0.309 -0.247406

0.31 -0.245109

0.311 -0.242588

0.312 -0.239847

0.313 -0.236891

0.314 -0.233725

0.315 -0.230354

0.316 -0.226783

0.317 -0.223018

0.318 -0.219063

0.319 -0.214926

0.32 -0.210611

0.321 -0.206124

0.322 -0.201472

0.323 -0.196661

0.324 -0.191696

0.325 -0.186584

0.326 -0.1813320.327 -0.175946

0.328 -0.170433

0.329 -0.164799

0.33 -0.159051

0.331 -0.153195

0.332 -0.14724

0.333 -0.141191

0.334 -0.135055

7/21/2019 Phys273 hw3


0.335 -0.128839

0.336 -0.122551

0.337 -0.116197

0.338 -0.109783

0.339 -0.103318

0.34 -0.096808

0.341 -0.09026

0.342 -0.08368

0.343 -0.077076

0.344 -0.070454

0.345 -0.063821

0.346 -0.057185

0.347 -0.05055

0.348 -0.043925

0.349 -0.037316

0.35 -0.030729

0.351 -0.02417

0.352 -0.017646

0.353 -0.011164

0.354 -0.004728

0.355 0.0016546

0.356 0.0079781

0.357 0.0142367

0.358 0.0204248

0.359 0.0265369

0.36 0.0325675

0.361 0.0385114

0.362 0.0443633

0.363 0.0501183

0.364 0.0557715

0.365 0.0613181

0.366 0.0667536

0.367 0.0720735

0.368 0.0772736

0.369 0.0823498

0.37 0.087298

0.371 0.0921145

0.372 0.0967957

0.373 0.1013381

0.374 0.10573840.375 0.1099936

0.376 0.1141005

0.377 0.1180566

0.378 0.1218592

0.379 0.1255058

0.38 0.1289942

0.381 0.1323225

0.382 0.1354886

7/21/2019 Phys273 hw3


0.383 0.1384909

0.384 0.1413278

0.385 0.143998

0.386 0.1465004

0.387 0.148834

0.388 0.1509978

0.389 0.1529914

0.39 0.1548142

0.391 0.1564659

0.392 0.1579465

0.393 0.159256

0.394 0.1603946

0.395 0.1613627

0.396 0.162161

0.397 0.16279

0.398 0.1632508

0.399 0.1635444

0.4 0.1636719

0.401 0.1636348

0.402 0.1634345

0.403 0.1630728

0.404 0.1625514

0.405 0.1618723

0.406 0.1610376

0.407 0.1600496

0.408 0.1589105

0.409 0.1576229

0.41 0.1561895

0.411 0.1546129

0.412 0.152896

0.413 0.1510418

0.414 0.1490534

0.415 0.146934

0.416 0.1446869

0.417 0.1423154

0.418 0.1398231

0.419 0.1372135

0.42 0.1344902

0.421 0.1316572

0.422 0.1287180.423 0.1256767

0.424 0.1225372

0.425 0.1193036

0.426 0.1159798

0.427 0.11257

0.428 0.1090785

0.429 0.1055093

0.43 0.1018669

7/21/2019 Phys273 hw3


0.431 0.0981555

0.432 0.0943793

0.433 0.0905429

0.434 0.0866504

0.435 0.0827065

0.436 0.0787153

0.437 0.0746814

0.438 0.0706092

0.439 0.0665031

0.44 0.0623674

0.441 0.0582067

0.442 0.0540252

0.443 0.0498273

0.444 0.0456174

0.445 0.0413998

0.446 0.0371787

0.447 0.0329585

0.448 0.0287432

0.449 0.0245372

0.45 0.0203445

0.451 0.0161691

0.452 0.0120152

0.453 0.0078866

0.454 0.0037872

0.455 -0.000279

0.456 -0.004309

0.457 -0.008297

0.458 -0.012242

0.459 -0.016139

0.46 -0.019985

0.461 -0.023776

0.462 -0.02751

0.463 -0.031182

0.464 -0.034791

0.465 -0.038332

0.466 -0.041803

0.467 -0.045201

0.468 -0.048523

0.469 -0.051767

0.47 -0.054930.471 -0.058009

0.472 -0.061003

0.473 -0.06391

0.474 -0.066726

0.475 -0.06945

0.476 -0.07208

0.477 -0.074615

0.478 -0.077053

7/21/2019 Phys273 hw3


0.479 -0.079391

0.48 -0.081629

0.481 -0.083766

0.482 -0.085799

0.483 -0.087729

0.484 -0.089553

0.485 -0.091272

0.486 -0.092884

0.487 -0.094389

0.488 -0.095786

0.489 -0.097075

0.49 -0.098255

0.491 -0.099326

0.492 -0.100289

0.493 -0.101142

0.494 -0.101887

0.495 -0.102524

0.496 -0.103052

0.497 -0.103473

0.498 -0.103786

0.499 -0.103993

0.5 -0.104094

0.501 -0.104091

0.502 -0.103983

0.503 -0.103773

0.504 -0.10346

0.505 -0.103048

0.506 -0.102535

0.507 -0.101926

0.508 -0.101219

0.509 -0.100418

0.51 -0.099524

0.511 -0.098539

0.512 -0.097464

0.513 -0.096301

0.514 -0.095052

0.515 -0.09372

0.516 -0.092306

0.517 -0.090813

0.518 -0.0892420.519 -0.087596

0.52 -0.085878

0.521 -0.084089

0.522 -0.082232

0.523 -0.08031

0.524 -0.078325

0.525 -0.07628

0.526 -0.074176

7/21/2019 Phys273 hw3


0.527 -0.072018

0.528 -0.069807

0.529 -0.067546

0.53 -0.065238

0.531 -0.062885

0.532 -0.060491

0.533 -0.058058

0.534 -0.055589

0.535 -0.053087

0.536 -0.050554

0.537 -0.047993

0.538 -0.045407

0.539 -0.042799

0.54 -0.040172

0.541 -0.037529

0.542 -0.034872

0.543 -0.032203

0.544 -0.029527

0.545 -0.026845

0.546 -0.02416

0.547 -0.021476

0.548 -0.018794

0.549 -0.016118

0.55 -0.013449

0.551 -0.010791

0.552 -0.008146

0.553 -0.005517

0.554 -0.002906

0.555 -0.000315

0.556 0.0022523

0.557 0.0047945

0.558 0.0073091

0.559 0.0097937

0.56 0.0122463

0.561 0.0146645

0.562 0.0170463

0.563 0.0193897

0.564 0.0216927

0.565 0.0239533

0.566 0.02616960.567 0.0283398

0.568 0.0304623

0.569 0.0325352

0.57 0.0345569

0.571 0.036526

0.572 0.0384409

0.573 0.0403001

0.574 0.0421024

7/21/2019 Phys273 hw3


0.575 0.0438464

0.576 0.0455309

0.577 0.0471548

0.578 0.048717

0.579 0.0502164

0.58 0.0516522

0.581 0.0530235

0.582 0.0543295

0.583 0.0555695

0.584 0.0567428

0.585 0.0578489

0.586 0.0588873

0.587 0.0598574

0.588 0.0607591

0.589 0.061592

0.59 0.0623558

0.591 0.0630505

0.592 0.0636759

0.593 0.0642321

0.594 0.0647192

0.595 0.0651372

0.596 0.0654863

0.597 0.065767

0.598 0.0659794

0.599 0.0661239

0.6 0.0662011

0.601 0.0662115

0.602 0.0661557

0.603 0.0660342

0.604 0.0658479

0.605 0.0655975

0.606 0.0652838

0.607 0.0649077

0.608 0.0644701

0.609 0.0639721

0.61 0.0634146

0.611 0.0627988

0.612 0.0621258

0.613 0.0613968

0.614 0.0606130.615 0.0597757

0.616 0.0588862

0.617 0.0579459

0.618 0.0569562

0.619 0.0559185

0.62 0.0548342

0.621 0.0537049

0.622 0.0525321

7/21/2019 Phys273 hw3


0.623 0.0513174

0.624 0.0500623

0.625 0.0487685

0.626 0.0474376

0.627 0.0460713

0.628 0.0446713

0.629 0.0432392

0.63 0.0417768

0.631 0.0402858

0.632 0.038768

0.633 0.0372251

0.634 0.0356588

0.635 0.0340711

0.636 0.0324636

0.637 0.0308381

0.638 0.0291964

0.639 0.0275403

0.64 0.0258716

0.641 0.024192

0.642 0.0225034

0.643 0.0208075

0.644 0.019106

0.645 0.0174008

0.646 0.0156935

0.647 0.0139859

0.648 0.0122797

0.649 0.0105765

0.65 0.0088781

0.651 0.0071861

0.652 0.0055021

0.653 0.0038278

0.654 0.0021647

0.655 0.0005144

0.656 -0.001122

0.657 -0.002742

0.658 -0.004345

0.659 -0.005929

0.66 -0.007493

0.661 -0.009035

0.662 -0.0105540.663 -0.01205

0.664 -0.013519

0.665 -0.014962

0.666 -0.016378

0.667 -0.017764

0.668 -0.01912

0.669 -0.020444

0.67 -0.021736

7/21/2019 Phys273 hw3


0.671 -0.022995

0.672 -0.02422

0.673 -0.025409

0.674 -0.026562

0.675 -0.027679

0.676 -0.028758

0.677 -0.029798

0.678 -0.030799

0.679 -0.03176

0.68 -0.032681

0.681 -0.033562

0.682 -0.0344

0.683 -0.035197

0.684 -0.035951

0.685 -0.036663

0.686 -0.037332

0.687 -0.037957

0.688 -0.038539

0.689 -0.039077

0.69 -0.039571

0.691 -0.040022

0.692 -0.040428

0.693 -0.04079

0.694 -0.041108

0.695 -0.041382

0.696 -0.041613

0.697 -0.0418

0.698 -0.041943

0.699 -0.042043

0.7 -0.0421

0.701 -0.042115

0.702 -0.042088

0.703 -0.042018

0.704 -0.041908

0.705 -0.041756

0.706 -0.041564

0.707 -0.041333

0.708 -0.041062

0.709 -0.040752

0.71 -0.0404050.711 -0.04002

0.712 -0.039599

0.713 -0.039142

0.714 -0.03865

0.715 -0.038124

0.716 -0.037565

0.717 -0.036973

0.718 -0.036349

7/21/2019 Phys273 hw3


0.719 -0.035695

0.72 -0.035011

0.721 -0.034298

0.722 -0.033557

0.723 -0.03279

0.724 -0.031996

0.725 -0.031178

0.726 -0.030336

0.727 -0.029471

0.728 -0.028585

0.729 -0.027678

0.73 -0.026751

0.731 -0.025806

0.732 -0.024844

0.733 -0.023865

0.734 -0.022872

0.735 -0.021865

0.736 -0.020845

0.737 -0.019813

0.738 -0.01877

0.739 -0.017719

0.74 -0.016659

0.741 -0.015592

0.742 -0.014519

0.743 -0.013441

0.744 -0.012359

0.745 -0.011275

0.746 -0.010189

0.747 -0.009103

0.748 -0.008018

0.749 -0.006934

0.75 -0.005853

0.751 -0.004776

0.752 -0.003704

0.753 -0.002638

0.754 -0.001578

0.755 -0.000527

0.756 0.0005152

0.757 0.0015476

0.758 0.00256930.759 0.0035792

0.76 0.0045764

0.761 0.0055601

0.762 0.0065294

0.763 0.0074835

0.764 0.0084215

0.765 0.0093426

0.766 0.0102462

7/21/2019 Phys273 hw3


0.767 0.0111313

0.768 0.0119974

0.769 0.0128438

0.77 0.0136696

0.771 0.0144744

0.772 0.0152576

0.773 0.0160184

0.774 0.0167564

0.775 0.017471

0.776 0.0181617

0.777 0.0188281

0.778 0.0194696

0.779 0.020086

0.78 0.0206767

0.781 0.0212415

0.782 0.02178

0.783 0.0222918

0.784 0.0227768

0.785 0.0232347

0.786 0.0236653

0.787 0.0240683

0.788 0.0244437

0.789 0.0247913

0.79 0.025111

0.791 0.0254027

0.792 0.0256665

0.793 0.0259022

0.794 0.0261099

0.795 0.0262897

0.796 0.0264416

0.797 0.0265657

0.798 0.0266621

0.799 0.0267311

0.8 0.0267727

0.801 0.0267872

0.802 0.0267749

0.803 0.0267358

0.804 0.0266705

0.805 0.026579

0.806 0.02646190.807 0.0263193

0.808 0.0261518

0.809 0.0259596

0.81 0.0257432

0.811 0.0255031

0.812 0.0252396

0.813 0.0249533

0.814 0.0246446

7/21/2019 Phys273 hw3


0.815 0.0243141

0.816 0.0239623

0.817 0.0235897

0.818 0.0231969

0.819 0.0227844

0.82 0.0223529

0.821 0.0219029

0.822 0.0214351

0.823 0.0209501

0.824 0.0204486

0.825 0.0199311

0.826 0.0193983

0.827 0.018851

0.828 0.0182898

0.829 0.0177153

0.83 0.0171283

0.831 0.0165294

0.832 0.0159195

0.833 0.0152991

0.834 0.014669

0.835 0.0140299

0.836 0.0133826

0.837 0.0127277

0.838 0.012066

0.839 0.0113982

0.84 0.0107249

0.841 0.0100471

0.842 0.0093653

0.843 0.0086802

0.844 0.0079927

0.845 0.0073034

0.846 0.0066129

0.847 0.0059221

0.848 0.0052315

0.849 0.004542

0.85 0.0038541

0.851 0.0031685

0.852 0.0024859

0.853 0.001807

0.854 0.00113240.855 0.0004627

0.856 -0.000201

0.857 -0.000859

0.858 -0.00151

0.859 -0.002154

0.86 -0.00279

0.861 -0.003418

0.862 -0.004036

7/21/2019 Phys273 hw3


0.863 -0.004645

0.864 -0.005243

0.865 -0.005831

0.866 -0.006408

0.867 -0.006973

0.868 -0.007526

0.869 -0.008067

0.87 -0.008595

0.871 -0.00911

0.872 -0.00961

0.873 -0.010097

0.874 -0.010569

0.875 -0.011026

0.876 -0.011469

0.877 -0.011896

0.878 -0.012307

0.879 -0.012702

0.88 -0.013081

0.881 -0.013443

0.882 -0.013789

0.883 -0.014118

0.884 -0.014429

0.885 -0.014724

0.886 -0.015001

0.887 -0.015261

0.888 -0.015503

0.889 -0.015727

0.89 -0.015934

0.891 -0.016123

0.892 -0.016294

0.893 -0.016448

0.894 -0.016583

0.895 -0.016701

0.896 -0.016801

0.897 -0.016883

0.898 -0.016948

0.899 -0.016995

0.9 -0.017025

0.901 -0.017037

0.902 -0.0170330.903 -0.017011

0.904 -0.016973

0.905 -0.016918

0.906 -0.016846

0.907 -0.016759

0.908 -0.016655

0.909 -0.016536

0.91 -0.016401

7/21/2019 Phys273 hw3


0.911 -0.016251

0.912 -0.016087

0.913 -0.015907

0.914 -0.015714

0.915 -0.015506

0.916 -0.015285

0.917 -0.01505

0.918 -0.014803

0.919 -0.014543

0.92 -0.014271

0.921 -0.013987

0.922 -0.013691

0.923 -0.013385

0.924 -0.013068

0.925 -0.012741

0.926 -0.012404

0.927 -0.012057

0.928 -0.011702

0.929 -0.011338

0.93 -0.010966

0.931 -0.010587

0.932 -0.0102

0.933 -0.009807

0.934 -0.009407

0.935 -0.009002

0.936 -0.008591

0.937 -0.008175

0.938 -0.007755

0.939 -0.007331

0.94 -0.006904

0.941 -0.006473

0.942 -0.00604

0.943 -0.005604

0.944 -0.005167

0.945 -0.004729

0.946 -0.00429

0.947 -0.003851

0.948 -0.003411

0.949 -0.002973

0.95 -0.0025350.951 -0.002099

0.952 -0.001664

0.953 -0.001232

0.954 -0.000802

0.955 -0.000375

0.956 4.76!-005

0.957 0.0004669

0.958 0.0008819

7/21/2019 Phys273 hw3


0.959 0.0012923

0.96 0.0016977

0.961 0.0020978

0.962 0.0024922

0.963 0.0028806

0.964 0.0032626

0.965 0.0036379

0.966 0.0040061

0.967 0.0043671

0.968 0.0047205

0.969 0.005066

0.97 0.0054033

0.971 0.0057321

0.972 0.0060523

0.973 0.0063636

0.974 0.0066657

0.975 0.0069584

0.976 0.0072416

0.977 0.0075149

0.978 0.0077783

0.979 0.0080316

0.98 0.0082746

0.981 0.0085071

0.982 0.008729

0.983 0.0089402

0.984 0.0091406

0.985 0.00933

0.986 0.0095084

0.987 0.0096757

0.988 0.0098319

0.989 0.0099768

0.99 0.0101105

0.991 0.0102328

0.992 0.0103438

0.993 0.0104435

0.994 0.0105319

0.995 0.0106089

0.996 0.0106747

0.997 0.0107292

0.998 0.01077250.999 0.0108046

1 0.0108257

7/21/2019 Phys273 hw3


v a

0 -1000

-1 -990

-1.99 -979.11

-2.96911 -967.3398

-3.93645 -954.7091

-4.891159 -941.2381

-5.832397 -926.9481

-6.759345 -911.8605

-7.671206 -895.9976

-8.567203 -879.3823

-9.446585 -862.0379

-10.30862 -843.9883

-11.15261 -825.2578

-11.97787 -805.8714

-12.78374 -785.8542

-13.56959 -765.2319

-14.33483 -744.0306

-15.07886 -722.2767

-15.80113 -699.9968

-16.50113 -677.218

-17.17835 -653.9674

-17.83232 -630.2727

-18.46259 -606.1613

-19.06875 -581.6612

-19.65041 -556.8004

-20.20721 -531.6068

-20.73882 -506.1087

-21.24493 -480.3343

-21.72526 -454.3118

-22.17957 -428.0695

-22.60764 -401.6354

-23.00928 -375.0379

-23.38432 -348.3048

-23.73262 -321.4642

-24.05409 -294.5438

-24.34863 -267.5712

-24.6162 -240.5738

-24.85677 -213.5789

-25.07035 -186.6133-25.25697 -159.7038

-25.41667 -132.8767

-25.54955 -106.1581

-25.6557 -79.57365

-25.73528 -53.1488

-25.78843 -26.90845

-25.81534 -0.877183

-25.81621 24.920893

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

7/21/2019 Phys273 hw3


-25.79129 50.462099

-25.74083 75.723229

-25.66511 100.68157

-25.56443 125.3149

-25.43911 149.60154

-25.28951 173.52035

-25.11599 197.05074

-24.91894 220.17269

-24.69876 242.86678

-24.4559 265.11418

-24.19078 286.89669

-23.90389 308.19672

-23.59569 328.99734

-23.26669 349.28226

-22.91741 369.03584

-22.54838 388.24314

-22.16013 406.88988

-21.75324 424.96247

-21.32828 442.44801

-20.88583 459.33433

-20.4265 475.60993

-19.95089 491.26405

-19.45962 506.28664

-18.95334 520.66838

-18.43267 534.40065

-17.89827 547.47558

-17.35079 559.88601

-16.79091 571.62554

-16.21928 582.68845

-15.63659 593.06978

-15.04352 602.76529

-14.44076 611.77147

-13.82899 620.0855

-13.2089 627.70532

-12.58119 634.62955

-11.94657 640.85752

-11.30571 646.38928

-10.65932 651.22557

-10.00809 655.36779

-9.352725 658.81807-8.693907 661.57916

-8.032328 663.65451

-7.368673 665.04822

-6.703625 665.76502

-6.03786 665.81028

-5.37205 665.18999

-4.70686 663.91076

-4.042949 661.97979

7/21/2019 Phys273 hw3


-3.380969 659.40487

-2.721564 656.19437

-2.06537 652.3572

-1.413013 647.90283

-0.76511 642.84127

-0.122269 637.18303

0.5149144 630.93913

1.1458535 624.12107

1.7699746 616.74082

2.3867154 608.81082

2.9955262 600.34392

3.5958701 591.35343

4.1872235 581.85301

4.7690766 571.85676

5.3409333 561.37911

5.9023124 550.43486

6.4527473 539.03915

6.9917864 527.2074

7.5189938 514.95538

8.0339492 502.29908

8.5362483 489.2548

9.0255031 475.83904

9.5013421 462.06857

9.9634107 447.96031

10.411371 433.5314

10.844902 418.79915

11.263702 403.78099

11.667483 388.49449

12.055977 372.95735

12.428934 357.18734

12.786122 341.2023

13.127324 325.02014

13.452344 308.6588

13.761003 292.13623

14.053139 275.47038

14.32861 258.67921

14.587289 241.7806

14.829069 224.7924

15.053862 207.7324

15.261594 190.6182715.452212 173.46761

15.62568 156.29787

15.781978 139.12638

15.921104 121.97031

16.043075 104.84666

16.147921 87.772241

16.235694 70.763671

16.306457 53.83735

7/21/2019 Phys273 hw3


16.360295 37.009445

16.397304 20.295884

16.4176 3.712335

16.421312 -12.7258

16.408586 -29.00342

16.379583 -45.1057

16.334477 -61.01812

16.273459 -76.7265

16.196733 -92.21699

16.104516 -107.4761

15.99704 -122.4906

15.874549 -137.2477

15.737301 -151.735

15.585566 -165.9405

15.419626 -179.8524

15.239774 -193.4596

15.046314 -206.7512

14.839563 -219.7167

14.619846 -232.3461

14.3875 -244.6299

14.14287 -256.5588

13.886311 -268.1241

13.618187 -279.3176

13.33887 -290.1315

13.048738 -300.5582

12.74818 -310.5909

12.437589 -320.2232

12.117366 -329.4489

11.787917 -338.2625

11.449654 -346.659

11.102995 -354.6337

10.748362 -362.1824

10.386179 -369.3014

10.016878 -375.9874

9.6408904 -382.2377

9.2586527 -388.05

8.8706027 -393.4223

8.4771804 -398.3533

8.0788271 -402.8421

7.675985 -406.8887.269097 -410.491

6.858606 -413.6516

6.4449544 -416.3705

6.0285838 -418.6491

5.6099348 -420.4889

5.1894459 -421.8921

4.7675538 -422.8612

4.3446926 -423.3992

7/21/2019 Phys273 hw3


3.9212934 -423.5094

3.497784 -423.1954

3.0745886 -422.4616

2.652127 -421.3123

2.2308147 -419.7524

1.8110623 -417.7873

1.393275 -415.4224

0.9778525 -412.6639

0.5651886 -409.5178

0.1556708 -405.991

-0.25032 -402.0903

-0.65241 -397.823

-1.050233 -393.1966

-1.44343 -388.219

-1.831649 -382.8984

-2.214547 -377.2431

-2.59179 -371.2617

-2.963052 -364.9633

-3.328016 -358.3569

-3.686372 -351.4519

-4.037824 -344.258

-4.382082 -336.7847

-4.718867 -329.0423

-5.047909 -321.0407

-5.36895 -312.7904

-5.681741 -304.3018

-5.986042 -295.5856

-6.281628 -286.6524

-6.56828 -277.5132

-6.845793 -268.1789

-7.113972 -258.6606

-7.372633 -248.9696

-7.621603 -239.1169

-7.860719 -229.114

-8.089833 -218.9722

-8.308806 -208.7027

-8.517508 -198.3172

-8.715826 -187.8269

-8.903652 -177.2433

-9.080896 -166.5778-9.247474 -155.8418

-9.403315 -145.0466

-9.548362 -134.2036

-9.682566 -123.3241

-9.80589 -112.4192

-9.918309 -101.5

-10.01981 -90.57758

-10.11039 -79.66292

7/21/2019 Phys273 hw3


-10.19005 -68.76682

-10.25882 -57.9

-10.31672 -47.07305

-10.36379 -36.29643

-10.40009 -25.58045

-10.42567 -14.93528

-10.4406 -4.370907

-10.44497 6.1028391

-10.43887 16.476309

-10.42239 26.740042

-10.39565 36.884771

-10.35877 46.901431

-10.31187 56.781169

-10.25509 66.515344

-10.18857 76.095542

-10.11247 85.513577

-10.02696 94.761498

-9.9322 103.8316

-9.828368 112.71641

-9.715652 121.40873

-9.594243 129.9016

-9.464341 138.18834

-9.326153 146.26251

-9.179891 154.11796

-9.025773 161.74882

-8.864024 169.14947

-8.694874 176.3146

-8.51856 183.23916

-8.335321 189.9184

-8.145402 196.34786

-7.949054 202.52336

-7.746531 208.441

-7.53809 214.0972

-7.323993 219.48867

-7.104504 224.61238

-6.879892 229.46564

-6.650426 234.04602

-6.41638 238.3514

-6.178029 242.37996

-5.935649 246.13016-5.689518 249.60076

-5.439918 252.7908

-5.187127 255.69962

-4.931427 258.32684

-4.6731 260.67237

-4.412428 262.73641

-4.149692 264.51941

-3.885172 266.02212

7/21/2019 Phys273 hw3


-3.61915 267.24557

-3.351905 268.19104

-3.083713 268.86009

-2.814853 269.25453

-2.545599 269.37645

-2.276222 269.22816

-2.006994 268.81225

-1.738182 268.13154

-1.47005 267.18908

-1.202861 265.98818

-0.936873 264.53237

-0.672341 262.82537

-0.409515 260.87116

-0.148644 258.67392

0.1100296 256.23802

0.3662676 253.56805

0.6198357 250.66877

0.8705044 247.54515

1.1180496 244.20232

1.3622519 240.64559

1.6028975 236.88044

1.8397779 232.9125

2.0726904 228.74756

2.301438 224.39156

2.5258296 219.85057

2.7456801 215.13077

2.9608109 210.2385

3.1710494 205.1802

3.3762296 199.96241

3.576192 194.59177

3.7707838 189.07503

3.9598588 183.41901

4.1432778 177.63062

4.3209084 171.71683

4.4926253 165.68466

4.6583099 159.54122

4.8178511 153.29364

4.9711448 146.9491

5.1180939 140.51481

5.2586087 133.9985.3926067 127.40593

5.5200126 120.74586

5.6407585 114.02505

5.7547836 107.25076

5.8620343 100.43024

5.9624646 93.570727

6.0560353 86.679414

6.1427147 79.763476

7/21/2019 Phys273 hw3


6.2224782 72.830043

6.2953082 65.886197

6.3611944 58.938971

6.4201334 51.995334

6.4721287 45.062191

6.5171909 38.146374

6.5553373 31.254635

6.5865919 24.393643

6.6109856 17.569976

6.6285555 10.790114

6.6393456 4.0604371

6.6434061 -2.612783

6.6407933 -9.223388

6.6315699 -15.76534

6.6158046 -22.23271

6.5935719 -28.61972

6.5649521 -34.92071

6.5300314 -41.13015

6.4889013 -47.24267

6.4416586 -53.25304

6.3884056 -59.15615

6.3292494 -64.94709

6.2643023 -70.62108

6.1936812 -76.1735

6.1175077 -81.59989

6.0359078 -86.89598

5.9490119 -92.05763

5.8569542 -97.0809

5.7598733 -101.962

5.6579113 -106.6974

5.5512139 -111.2836

5.4399303 -115.7174

5.3242129 -119.9957

5.2042172 -124.1157

5.0801015 -128.0746

4.9520269 -131.87

4.8201569 -135.4996

4.6846573 -138.9611

4.5456962 -142.2527

4.4034436 -145.37264.258071 -148.3192

4.1097519 -151.0911

3.9586608 -153.6872

3.8049736 -156.1063

3.6488673 -158.3478

3.4905194 -160.411

3.3301084 -162.2953

3.1678131 -164.0006

7/21/2019 Phys273 hw3


3.0038125 -165.5267

2.8382858 -166.8737

2.6714121 -168.0419

2.5033702 -169.0317

2.3343384 -169.8438

2.1644946 -170.4789

1.9940157 -170.938

1.8230777 -171.2221

1.6518556 -171.3327

1.4805229 -171.2711

1.3092517 -171.039

1.1382127 -170.6381

0.9675746 -170.0703

0.7975043 -169.3378

0.6281665 -168.4426

0.4597239 -167.3873

0.2923366 -166.1742

0.1261624 -164.806

-0.038644 -163.2855

-0.201929 -161.6155

-0.363544 -159.7991

-0.523344 -157.8393

-0.681183 -155.7396

-0.836922 -153.5031

-0.990426 -151.1334

-1.141559 -148.634

-1.290193 -146.0086

-1.436201 -143.2609

-1.579462 -140.3949

-1.719857 -137.4143

-1.857272 -134.3233

-1.991595 -131.1259

-2.122721 -127.8262

-2.250547 -124.4285

-2.374976 -120.9371

-2.495913 -117.3563

-2.613269 -113.6904

-2.726959 -109.9439

-2.836903 -106.1212

-2.943024 -102.2269-3.045251 -98.26551

-3.143517 -94.24157

-3.237758 -90.15966

-3.327918 -86.02439

-3.413942 -81.84036

-3.495783 -77.6122

-3.573395 -73.34452

-3.64674 -69.04195

7/21/2019 Phys273 hw3


-3.715781 -64.70909

-3.780491 -60.35055

-3.840841 -55.97092

-3.896812 -51.57475

-3.948387 -47.16658

-3.995553 -42.75094

-4.038304 -38.33229

-4.076637 -33.91508

-4.110552 -29.50371

-4.140055 -25.10253

-4.165158 -20.71585

-4.185874 -16.34793

-4.202222 -12.00294

-4.214225 -7.685034

-4.22191 -3.398277

-4.225308 0.8533288

-4.224455 5.0658518

-4.219389 9.2354353

-4.210153 13.3583

-4.196795 17.430748

-4.179364 21.449163

-4.157915 25.410017

-4.132505 29.309871

-4.103195 33.145378

-4.07005 36.913283

-4.033137 40.610433

-3.992526 44.233768

-3.948292 47.780333

-3.900512 51.247275

-3.849265 54.631848

-3.794633 57.931409

-3.736701 61.143428

-3.675558 64.265484

-3.611293 67.295265

-3.543997 70.230575

-3.473767 73.069331

-3.400697 75.809566

-3.324888 78.449427

-3.246438 80.987181

-3.165451 83.42121-3.08203 85.750015

-2.99628 87.972216

-2.908308 90.086552

-2.818221 92.09188

-2.726129 93.987177

-2.632142 95.771539

-2.536371 97.444182

-2.438926 99.004438

7/21/2019 Phys273 hw3


-2.339922 100.45176

-2.23947 101.78572

-2.137685 103.006

-2.034679 104.1124

-1.930566 105.10485

-1.825461 105.98337

-1.719478 106.74812

-1.61273 107.39935

-1.50533 107.93744

-1.397393 108.36286

-1.28903 108.6762

-1.180354 108.87815

-1.071476 108.96952

-0.962506 108.95121

-0.853555 108.82422

-0.744731 108.58966

-0.636141 108.24873

-0.527892 107.80273

-0.42009 107.25304

-0.312837 106.60115

-0.206236 105.84862

-0.100387 104.99713

0.0046102 104.04839

0.1086586 103.00425

0.2116628 101.86659

0.3135294 100.6374

0.4141668 99.318726

0.5134856 97.91269

0.6113983 96.421484

0.7078197 94.847362

0.8026671 93.192643

0.8958597 91.459704

0.9873194 89.65098

1.0769704 87.768959

1.1647394 85.816181

1.2505556 83.795233

1.3343508 81.708746

1.4160595 79.559394

1.4956189 77.34989

1.5729688 75.0829821.6480518 72.76145

1.7208133 70.388105

1.7912014 67.965784

1.8591672 65.497347

1.9246645 62.985675

1.9876502 60.433666

2.0480838 57.844231

2.1059281 55.220294

7/21/2019 Phys273 hw3


2.1611484 52.564787

2.2137132 49.880646

2.2635938 47.170811

2.3107646 44.438219

2.3552028 41.685805

2.3968886 38.916496

2.4358051 36.133212

2.4719383 33.338858

2.5052772 30.536325

2.5358135 27.728487

2.563542 24.918197

2.5884602 22.108283

2.6105685 19.30155

2.62987 16.500773

2.6463708 13.708696

2.6600795 10.92803

2.6710075 8.1614509

2.679169 5.4115954

2.6845806 2.6810604

2.6872616 -0.0276

2.687234 -2.711877

2.6845222 -5.369308

2.6791529 -7.99748

2.6711554 -10.59403

2.6605614 -13.15665

2.6474047 -15.68308

2.6317216 -18.17113

2.6135505 -20.61865

2.5929318 -23.02357

2.5699083 -25.38386

2.5445244 -27.69757

2.5168269 -29.9628

2.486864 -32.17774

2.4546863 -34.34061

2.4203457 -36.44973

2.383896 -38.50346

2.3453925 -40.50027

2.3048922 -42.43867

2.2624536 -44.31723

2.2181363 -46.134642.1720017 -47.88961

2.1241121 -49.58096

2.0745311 -51.20757

2.0233236 -52.7684

1.9705552 -54.26248

1.9162927 -55.68891

1.8606038 -57.04689

1.8035569 -58.33567

7/21/2019 Phys273 hw3


1.7452212 -59.55458

1.6856666 -60.70304

1.6249636 -61.78052

1.5631831 -62.7866

1.5003965 -63.72092

1.4366756 -64.58317

1.3720924 -65.37315

1.3067193 -66.09072

1.2406285 -66.73582

1.1738927 -67.30844

1.1065843 -67.80868

1.0387756 -68.23667

0.9705389 -68.59265

0.9019463 -68.87691

0.8330694 -69.0898

0.7639796 -69.23176

0.6947478 -69.30328

0.6254445 -69.30493

0.5561396 -69.23732

0.4869023 -69.10115

0.4178011 -68.89718

0.3489039 -68.62621

0.2802777 -68.28913

0.2119886 -67.88685

0.1441017 -67.42037

0.0766814 -66.89074

0.0097906 -66.29904

-0.056508 -65.64643

-0.122155 -64.93411

-0.187089 -64.16333

-0.251252 -63.33538

-0.314588 -62.4516

-0.377039 -61.51338

-0.438553 -60.52214

-0.499075 -59.47936

-0.558554 -58.38654

-0.616941 -57.24521

-0.674186 -56.05696

-0.730243 -54.82339

-0.785066 -53.54615-0.838612 -52.2269

-0.890839 -50.86733

-0.941707 -49.46918

-0.991176 -48.03418

-1.03921 -46.5641

-1.085774 -45.06072

-1.130835 -43.52584

-1.174361 -41.96128

7/21/2019 Phys273 hw3


-1.216322 -40.36887

-1.256691 -38.75045

-1.295441 -37.10788

-1.332549 -35.443

-1.367992 -33.75769

-1.40175 -32.0538

-1.433804 -30.33322

-1.464137 -28.5978

-1.492735 -26.84942

-1.519584 -25.08994

-1.544674 -23.32122

-1.567995 -21.5451

-1.58954 -19.76343

-1.609304 -17.97804

-1.627282 -16.19074

-1.643473 -14.40334

-1.657876 -12.61762

-1.670493 -10.83535

-1.681329 -9.058289

-1.690387 -7.288154

-1.697675 -5.526655

-1.703202 -3.775475

-1.706977 -2.03627

-1.709014 -0.310669

-1.709324 1.3997261

-1.707925 3.0933427

-1.704831 4.7686403

-1.700063 6.4241099

-1.693639 8.058276

-1.68558 9.6696975

-1.675911 11.256969

-1.664654 12.818723

-1.651835 14.353628

-1.637481 15.860391

-1.621621 17.337762

-1.604283 18.784528

-1.585499 20.199519

-1.565299 21.581607

-1.543717 22.929708

-1.520788 24.24278-1.496545 25.519827

-1.471025 26.759897

-1.444265 27.962083

-1.416303 29.125525

-1.387178 30.249409

-1.356928 31.332969

-1.325595 32.375484

-1.29322 33.376282

7/21/2019 Phys273 hw3


-1.259843 34.334738

-1.225509 35.250276

-1.190258 36.122366

-1.154136 36.950529

-1.117186 37.734331

-1.079451 38.47339

-1.040978 39.167368

-1.00181 39.815978

-0.961994 40.41898

-0.921576 40.976182

-0.880599 41.487438

-0.839112 41.952652

-0.797159 42.371772

-0.754787 42.744795

-0.712043 43.071761

-0.668971 43.352759

-0.625618 43.587922

-0.58203 43.777425

-0.538253 43.921492

-0.494331 44.020386

-0.450311 44.074414

-0.406237 44.083927

-0.362153 44.049315

-0.318103 43.971009

-0.274132 43.84948

-0.230283 43.685239

-0.186598 43.478834

-0.143119 43.230849

-0.099888 42.941908

-0.056946 42.612665

-0.014333 42.243814

0.0279105 41.836078

0.0697466 41.390214

0.1111368 40.907011

0.1520438 40.387288

0.1924311 39.831891

0.232263 39.241696

0.2715047 38.617606

0.3101223 37.96055

0.3480829 37.2714790.3853543 36.55137

0.4219057 35.801222

0.4577069 35.022054

0.492729 34.214906

0.5269439 33.380835

0.5603247 32.520917

0.5928456 31.636243

0.6244819 30.72792

7/21/2019 Phys273 hw3


0.6552098 29.797067

0.6850069 28.844817

0.7138517 27.872314

0.741724 26.880712

0.7686047 25.871173

0.7944759 24.844866

0.8193208 23.802967

0.8431237 22.746659

0.8658704 21.677125

0.8875475 20.595553

0.9081431 19.503131

0.9276462 18.401049

0.9460472 17.290495

0.9633377 16.172653

0.9795104 15.048707

0.9945591 13.919833

1.0084789 12.787205

1.0212661 11.651986

1.0329181 10.515335

1.0434335 9.3784006

1.0528119 8.2423201

1.0610542 7.1082211

1.0681624 5.9772188

1.0741396 4.8504153

1.07899 3.7288983

1.0827189 2.6137408

1.0853327 1.5059996

1.0868387 0.4067147

1.0872454 -0.683092

1.0865623 -1.762417

1.0847999 -2.830275

1.0819696 -3.885705

1.0780839 -4.927762

1.0731561 -5.955526

1.0672006 -6.968099

1.0602325 -7.964606

1.0522679 -8.944196

1.0433237 -9.906042

1.0334177 -10.84934

1.0225683 -11.773321.010795 -12.67724

0.9981178 -13.56035

0.9845574 -14.42199

0.9701354 -15.26146

0.954874 -16.07814

0.9387958 -16.87142

0.9219244 -17.64071

0.9042837 -18.38546

7/21/2019 Phys273 hw3


0.8858982 -19.10514

0.8667931 -19.79927

0.8469938 -20.46737

0.8265265 -21.10903

0.8054174 -21.72382

0.7836936 -22.31138

0.7613822 -22.87138

0.7385109 -23.40348

0.7151074 -23.90743

0.6911999 -24.38296

0.666817 -24.82985

0.6419871 -25.24792

0.6167392 -25.63701

0.5911022 -25.99699

0.5651052 -26.32777

0.5387774 -26.62926

0.5121482 -26.90145

0.4852467 -27.14431

0.4581024 -27.35787

0.4307445 -27.54218

0.4032024 -27.69732

0.375505 -27.82339

0.3476817 -27.92054

0.3197611 -27.98892

0.2917722 -28.02872

0.2637435 -28.04016

0.2357033 -28.02349

0.2076798 -27.97898

0.1797008 -27.90691

0.1517939 -27.80762

0.1239863 -27.68144

0.0963049 -27.52873

0.0687761 -27.3499

0.0414262 -27.14536

0.0142809 -26.91554

-0.012635 -26.66089

-0.039296 -26.3819

-0.065677 -26.07907

-0.091757 -25.7529

-0.117509 -25.40394-0.142913 -25.03274

-0.167946 -24.63987

-0.192586 -24.22592

-0.216812 -23.79149

-0.240603 -23.3372

-0.263941 -22.86368

-0.286804 -22.37157

-0.309176 -21.86155

7/21/2019 Phys273 hw3


-0.331037 -21.33426

-0.352372 -20.79041

-0.373162 -20.23068

-0.393393 -19.65577

-0.413049 -19.06639

-0.432115 -18.46327

-0.450578 -17.84713

-0.468425 -17.21869

-0.485644 -16.57871

-0.502223 -15.92792

-0.518151 -15.26707

-0.533418 -14.59691

-0.548015 -13.91819

-0.561933 -13.23167

-0.575164 -12.53811

-0.587703 -11.83826

-0.599541 -11.13287

-0.610674 -10.42271

-0.621096 -9.708518

-0.630805 -8.99105

-0.639796 -8.271052

-0.648067 -7.549266

-0.655616 -6.826428

-0.662443 -6.10327

-0.668546 -5.380518

-0.673927 -4.65889

-0.678585 -3.939096

-0.682524 -3.221839

-0.685746 -2.507814

-0.688254 -1.797703

-0.690052 -1.092182

-0.691144 -0.391914

-0.691536 0.302449

-0.691233 0.990266

-0.690243 1.6709091

-0.688572 2.3437626

-0.686229 3.0082244

-0.68322 3.6637063

-0.679557 4.309634

-0.675247 4.9454484-0.670302 5.5706051

-0.664731 6.1845754

-0.658546 6.7868467

-0.65176 7.3769223

-0.644383 7.9543225

-0.636428 8.5185845

-0.62791 9.0692626

-0.61884 9.605929

7/21/2019 Phys273 hw3


-0.609234 10.128173

-0.599106 10.635604

-0.588471 11.127847

-0.577343 11.604547

-0.565738 12.065368

-0.553673 12.509991

-0.541163 12.93812

-0.528225 13.349473

-0.514875 13.743792

-0.501132 14.120835

-0.487011 14.480382

-0.47253 14.822229

-0.457708 15.146195

-0.442562 15.452117

-0.42711 15.739852

-0.41137 16.009276

-0.395361 16.260284

-0.3791 16.49279

-0.362608 16.70673

-0.345901 16.902057

-0.328999 17.078742

-0.31192 17.236777

-0.294683 17.376171

-0.277307 17.496953

-0.25981 17.59917

-0.242211 17.682886

-0.224528 17.748185

-0.20678 17.795166

-0.188985 17.823947

-0.171161 17.834663

-0.153326 17.827467

-0.135499 17.802526

-0.117696 17.760024

-0.099936 17.700162

-0.082236 17.623157

-0.064613 17.529238

-0.047084 17.418653

-0.029665 17.29166

-0.012373 17.148536

0.0047752 16.9895670.0217648 16.815055

0.0385799 16.625314

0.0552052 16.420671

0.0716259 16.201463

0.0878273 15.968042

0.1037954 15.720768

0.1195161 15.460012

0.1349761 15.186157

7/21/2019 Phys273 hw3


0.1501623 14.899593

0.1650619 14.600721

0.1796626 14.289951

0.1939526 13.967699

0.2079203 13.634392

0.2215547 13.290461

0.2348451 12.936346

0.2477815 12.572492

0.260354 12.199349

0.2725533 11.817375

0.2843707 11.42703

0.2957977 11.028779

0.3068265 10.623092

0.3174496 10.21044

0.32766 9.7912987

0.3374513 9.3661449

0.3468175 8.9354572

0.3557529 8.4997159

0.3642526 8.0594016

0.372312 7.6149952

0.379927 7.1669777

0.387094 6.7158289

0.3938098 6.2620277

0.4000719 5.8060514

0.4058779 5.348375

0.4112263 4.889471

0.4161158 4.4298089

0.4205456 3.9698547

0.4245154 3.5100706

0.4280255 3.0509142

0.4310764 2.5928388

0.4336692 2.136292

0.4358055 1.6817164

0.4374873 1.2295483

0.4387168 0.7802177

0.439497 0.3341481

0.4398312 -0.108244

0.4397229 -0.546551

0.4391764 -0.98037

0.438196 -1.4093090.4367867 -1.832983

0.4349537 -2.251016

0.4327027 -2.663041

0.4300397 -3.068702

0.426971 -3.467649

0.4235033 -3.859544

0.4196438 -4.24406

0.4153997 -4.620879

7/21/2019 Phys273 hw3


0.4107788 -4.989693

0.4057891 -5.350206

0.4004389 -5.702132

0.3947368 -6.045198

0.3886916 -6.37914

0.3823125 -6.703706

0.3756087 -7.018657

0.3685901 -7.323764

0.3612663 -7.618812

0.3536475 -7.903595

0.3457439 -8.177921

0.337566 -8.441612

0.3291244 -8.694498

0.3204299 -8.936425

0.3114935 -9.167248

0.3023262 -9.386838

0.2929394 -9.595077

0.2833443 -9.791857

0.2735524 -9.977086

0.2635754 -10.15068

0.2534247 -10.31258

0.2431121 -10.46271

0.2326494 -10.60105

0.2220483 -10.72755

0.2113208 -10.8422

0.2004786 -10.94498

0.1895336 -11.03591

0.1784977 -11.11499

0.1673827 -11.18226

0.1562005 -11.23775

0.1449627 -11.28152

0.1336812 -11.31362

0.1223676 -11.33414

0.1110334 -11.34314

0.0996903 -11.34073

0.0883496 -11.32702

0.0770225 -11.30211

0.0657204 -11.26614

0.0544543 -11.21923

0.043235 -11.161540.0320735 -11.09322

0.0209803 -11.01443

7/21/2019 Phys273 hw3


"olu#n P

7/21/2019 Phys273 hw3


7/21/2019 Phys273 hw3


t x v a

0 1 0 -1000

0.001 0.999 -1 -1000

0.002 0.997011 -1.989 -989

0.003 0.9940449 -2.966121 -977.121

0.0040.9901144 -3.930505 -964.3837

0.0050.9852331 -4.881314 -950.8093

0.0060.9794153 -5.817734 -936.4199

0.007 0.9726764 -6.738972 -921.238

0.0080.9650321 -7.644259 -905.2866

0.0090.9564992 -8.532848 -888.5895

0.01 0.9470952 -9.404019 -871.1708

0.011 0.9368382 -10.25707 -853.055

0.0120.9257468 -11.09134 -834.2674

0.0130.9138406 -11.90617 -814.8334

0.0140.9011397 -12.70095 -794.7789

0.0150.8876646 -13.47508 -774.1302

0.016 0.8734366 -14.228 -752.9138

0.0170.8584775 -14.95915 -731.1566

0.0180.8428094 -15.66804 -708.8859

0.019 0.8264552 -16.35417 -686.129

0.02 0.8094382 -17.01708 -662.9136

0.0210.7917818 -17.65635 -639.2673

0.0220.7735102 -18.27157 -615.2183

0.0230.7546479 -18.86236 -590.7946

0.0240.7352195 -19.42839 -566.0242

0.0250.7152502 -19.96932 -540.9356

0.0260.6947653 -20.48488 -515.5569

0.027 0.6737905 -20.9748 -489.9165

0.0280.6523517 -21.43884 -464.0425

0.029 0.6304749 -21.8768 -437.9633

0.03 0.6081863 -22.28851 -411.7068

0.0310.5855125 -22.67381 -385.3013

0.0320.5624799 -23.03258 -358.7744

0.0330.5391152 -23.36474 -332.1541

0.034 0.515445 -23.67021 -305.4678

0.0350.4914961 -23.94895 -278.7429

0.0360.4672951 -24.20096 -252.0066

0.0370.4428689 -24.42624 -225.28550.038 0.418244 -24.62485 -198.6064

0.0390.3934472 -24.79684 -171.9955

0.04 0.3685048 -24.94232 -145.4787

0.041 0.3434434 -25.0614 -119.0816

0.042 0.3182892 -25.15423 -92.8294

0.0430.2930682 -25.22098 -66.74688

0.0440.2678064 -25.26184 -40.85843

0.045 0.2425294 -25.27703 -15.188

-0.8-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

7/21/2019 Phys273 hw3


0.0460.2172626 -25.26679 10.240902

0.0470.1920312 -25.23138 35.405278

0.048 0.1668601 -25.1711 60.282606

0.0490.1417739 -25.08625 84.850877

0.05 0.1167967 -24.97716 109.08862

0.0510.0919525 -24.84418 132.97489

0.0520.0672648 -24.68769 156.48932

0.0530.0427567 -24.50808 179.61212

0.054 0.018451 -24.30576 202.32408

0.055 -0.00563 -24.08115 224.6066

0.056 -0.029465 -23.83471 246.44169

0.057 -0.053032 -23.5669 267.81198

0.058 -0.07631 -23.2782 288.70076

0.059 -0.099279 -22.9691 309.09194

0.06 -0.121919 -22.64013 328.97013

0.061 -0.144211 -22.29181 348.32056

0.062 -0.166136 -21.92468 367.12917

0.063 -0.187675 -21.5393 385.38256

0.064 -0.208811 -21.13623 403.06804

0.065 -0.229527 -20.71606 420.1736

0.066 -0.249807 -20.27937 436.68792

0.067 -0.269633 -19.82677 452.60041

0.068 -0.288992 -19.35887 467.90118

0.069 -0.307869 -18.87629 482.58104

0.07 -0.326248 -18.37966 496.63152

0.071 -0.344118 -17.86961 510.04486

0.072 -0.361465 -17.3468 522.81403

0.073 -0.378277 -16.81187 534.93269

0.074 -0.394542 -16.26547 546.39523

0.075 -0.41025 -15.70828 557.19675

0.076 -0.425391 -15.14094 567.33306

0.077 -0.439955 -14.56414 576.80067

0.078 -0.453934 -13.97854 585.5968

0.079 -0.467319 -13.38483 593.71938

0.08 -0.480102 -12.78366 601.16701

0.081 -0.492278 -12.17572 607.939

0.082 -0.50384 -11.56168 614.03533

0.083 -0.514782 -10.94223 619.45666

0.084 -0.5251 -10.31802 624.20432

0.085 -0.53479 -9.689743 628.28030.086 -0.543848 -9.058055 631.68724

0.087 -0.552271 -8.423627 634.42842

0.088 -0.560059 -7.787119 636.50776

0.089 -0.567208 -7.149189 637.9298

0.09 -0.573718 -6.51049 638.6997

0.091 -0.57959 -5.871666 638.82319

0.092 -0.584823 -5.23336 638.30662

0.093 -0.58942 -4.596203 637.15692

7/21/2019 Phys273 hw3


0.094 -0.59338 -3.960821 635.38155

0.095 -0.596708 -3.327833 632.98856

0.096 -0.599406 -2.697846 629.9865

0.097 -0.601477 -2.071462 626.38449

0.098 -0.602927 -1.44927 622.1921

0.099 -0.603759 -0.83185 617.41945

0.1 -0.603978 -0.219773 612.07711

0.101 -0.603592 0.386403 606.17611

0.102 -0.602606 0.9861309 599.72794

0.103 -0.601027 1.5788754 592.74453

0.104 -0.598863 2.1641137 585.23821

0.105 -0.596122 2.7413354 577.22172

0.106 -0.592811 3.3100435 568.70816

0.107 -0.588942 3.8697546 559.71104

0.108 -0.584522 4.4199988 550.24417

0.109 -0.579561 4.9603205 540.32173

0.11 -0.5740715.4902787 529.9582

0.111 -0.568062 6.009447 519.16834

0.112 -0.561544 6.5174142 507.96721

0.113 -0.55453 7.0137843496.37012

0.114 -0.547032 7.498177 484.39263

0.115 -0.539062 7.9702275 472.05053

0.116 -0.5306328.4295873 459.3598

0.117 -0.521757 8.8759239 446.33661

0.118 -0.512448 9.3089212 432.99732

0.119 -0.502719 9.7282797 419.35843

0.12 -0.492586 10.133716 405.43656

0.121 -0.482061 10.524965 391.24848

0.122 -0.471159 10.901776 376.81103

0.123 -0.459895 11.263917 362.14115

0.124 -0.448284 11.611173 347.25582

0.125 -0.43634 11.943345332.17209

0.126 -0.42408 12.260252316.90702

0.127 -0.411518 12.56173 301.4777

0.128 -0.398671 12.847631 285.90119

0.129 -0.385553 13.117825 270.19455

0.13 -0.372181 13.3722 254.37478

0.131 -0.35857 13.610659238.45883

0.132 -0.344737 13.833122 222.46358

0.133 -0.330698 14.039528 206.405830.134 -0.316468 14.229831 190.30224

0.135 -0.302064 14.404 174.16939

0.136 -0.287502 14.562024 158.02369

0.137 -0.272798 14.703905 141.88143

0.138 -0.257968 14.829664 125.75871

0.139 -0.243029 14.939335 109.67146

0.14 -0.227996 15.032971 93.635412

0.141 -0.212885 15.110637 77.666087

7/21/2019 Phys273 hw3


0.142 -0.19771315.172416 61.77879

0.143 -0.182494 15.218404 45.988586

0.144 -0.167246 15.248714 30.310297

0.145 -0.151982 15.263473 14.758479

0.146 -0.136719 15.26282 -0.652578

0.147 -0.12147215.246911 -15.90887

0.148 -0.106257 15.215915 -30.9967

0.149 -0.09108615.170012 -45.90264

0.15 -0.07597715.109398 -60.61363

0.151 -0.06094315.034282 -75.11689

0.152 -0.04599814.944882 -89.4

0.153 -0.03115614.841431 -103.4509

0.154 -0.01643214.724173 -117.2578

0.155 -0.00183914.593363 -130.8094

0.1560.012610314.449269 -144.0947

0.157 0.026902514.292166 -157.103

0.1580.041024814.122342 -169.8241

0.1590.054964913.940093 -182.2482

0.16 0.068710613.745728 -194.3658

0.1610.0822502 13.53956 -206.1679

0.1620.095572113.321914 -217.6458

0.1630.108665213.093123 -228.7912

0.1640.121518812.853526 -239.5965

0.165 0.134122212.603472 -250.054

0.166 0.146465512.343315 -260.157

0.167 0.15853912.073417 -269.8987

0.1680.170333111.794143 -279.2731

0.169 0.18183911.505869 -288.2745

0.17 0.193047911.208971 -296.8977

0.1710.203951810.903834 -305.1377

0.1720.214542610.590843 -312.9901

0.173 0.22481310.270392 -320.4511

0.1740.23475599.9428754 -327.5169

0.1750.24436469.6086908 -334.1846

0.1760.25363289.2682393 -340.4515

0.1770.26255478.9219241 -346.3152

0.178 0.27112498.5701501 -351.774

0.1790.27933828.2133237 -356.8264

0.18 0.28719017.8518523 -361.4715

0.1810.29467627.4861437 -365.70860.1820.3017928 7.116606 -369.5376

0.1830.30853656.7436471 -372.9589

0.1840.31490416.3676742 -375.9729

0.1850.32089325.9890933 -378.5809

0.1860.32650155.6083092 -380.7842

0.1870.33172735.2257245 -382.5846

0.188 0.336569 4.84174 -383.9845

0.1890.34102584.4567536 -384.9864

7/21/2019 Phys273 hw3


0.19 0.34509694.0711603 -385.5933

0.1910.34878233.6853518 -385.8085

0.192 0.352082 3.299716 -385.6358

0.1930.35499662.9146368 -385.0791

0.194 0.35752712.5304939 -384.143

0.1950.35967482.1476618 -382.8321

0.1960.36144131.7665104 -381.1514

0.1970.3628287 1.387404 -379.1064

0.1980.36383941.0107013 -376.7027

0.1990.36447620.6367549 -373.9464

0.2 0.36474210.2659112 -370.8437

0.201 0.3646406 -0.10149 -367.4012

0.2020.3641755 -0.465116 -363.6257

0.203 0.3633508 -0.82464 -359.5243

0.2040.3621711 -1.179744 -355.1044

0.205 0.360641 -1.530118 -350.3736

0.2060.3587655 -1.875458 -345.3398

0.207 0.35655 -2.215469 -340.0109

0.2080.3540002 -2.549864 -334.3953

0.2090.3511218 -2.878366 -328.5015

0.21 0.3479211 -3.200704 -322.3381

0.2110.3444045 -3.516618 -315.9141

0.2120.3405786 -3.825856 -309.2383

0.2130.3364504 -4.128176 -302.3201

0.2140.3320271 -4.423345 -295.1687

0.215 0.327316 -4.711138 -287.7937

0.2160.3223246 -4.991343 -280.2046

0.2170.3170609 -5.263754 -272.4112

0.2180.3115327 -5.528178 -264.4233

0.2190.3057483 -5.784428 -256.2509

0.22 0.2997159 -6.032332 -247.904

0.2210.2934442 -6.271725 -239.3926

0.2220.2869417 -6.502452 -230.7269

0.2230.2802174 -6.724369 -221.9172

0.224 0.27328 -6.937343 -212.9737

0.225 0.2661388 -7.14125 -203.9066

0.2260.2588028 -7.335976 -194.7263

0.2270.2512814 -7.521419 -185.4431

0.2280.2435839 -7.697486 -176.0672

0.229 0.2357198 -7.864095 -166.6090.23 0.2276986 -8.021174 -157.0789

0.231 0.21953 -8.168661 -147.4869

0.2320.2112235 -8.306504 -137.8434

0.2330.2027888 -8.434663 -128.1584

0.2340.1942357 -8.553105 -118.4422

0.235 0.1855739 -8.66181 -108.7047

0.236 0.1768131 -8.760765 -98.9558

0.2370.1679632 -8.849971 -89.20548

7/21/2019 Phys273 hw3


0.2380.1590337 -8.929434 -79.46345

0.2390.1500346 -8.999174 -69.73938

0.24 0.1409753 -9.059216 -60.04281

0.241 0.1318657 -9.1096 -50.38317

0.2420.1227154 -9.150369 -40.76974

0.2430.1135338 -9.181581 -31.21167

0.2440.1043305 -9.203299 -21.71797

0.245 0.0951149 -9.215596 -12.2975

0.2460.0858963 -9.218555 -2.958924

0.2470.0766841 -9.212266 6.2892207

0.2480.0674872 -9.196828 15.438595

0.2490.0583149 -9.172347 24.481036

0.25 0.049176 -9.138938 33.408573

0.2510.0400792 -9.096725 42.213425

0.2520.0310334 -9.045837 50.888015

0.253 0.022047 -8.986412 59.424972

0.2540.0131284 -8.918594 67.817133

0.2550.0042859 -8.842537 76.057556

0.256 -0.004473 -8.758397 84.139518

0.257 -0.013139 -8.666341 92.05652

0.258 -0.021705 -8.566539 99.802296

0.259 -0.030165 -8.459168 107.37081

0.26 -0.038509 -8.344411 114.75627

0.261 -0.046731 -8.222458 121.95312

0.262 -0.054825 -8.093502 128.95605

0.263 -0.062783 -7.957742 135.75999

0.264 -0.070598 -7.815382 142.36013

0.265 -0.078265 -7.66663 148.75191

0.266 -0.085776 -7.511699 154.93102

0.267 -0.093127 -7.350806 160.89341

0.268 -0.100311 -7.184171 166.63528

0.269 -0.107323 -7.012017 172.1531

0.27 -0.114158 -6.834574 177.44359

0.271 -0.12081 -6.65207 182.50373

0.272 -0.127275 -6.464739 187.33076

0.273 -0.133548 -6.272817 191.92219

0.274 -0.139624 -6.076541 196.27579

0.275 -0.1455 -5.876152 200.38957

0.276 -0.151172 -5.67189 204.26183

0.277 -0.156636 -5.463999 207.89110.278 -0.161889 -5.252723 211.27619

0.279 -0.166927 -5.038307 214.41615

0.28 -0.171748 -4.820996 217.31029

0.281 -0.176349 -4.601038 219.95818

0.282 -0.180728 -4.378678 222.35964

0.283 -0.184882 -4.154164 224.51472

0.284 -0.18881 -3.92774 226.42374

0.285 -0.192509 -3.699653 228.08724

7/21/2019 Phys273 hw3


0.286 -0.19598 -3.470147 229.50602

0.287 -0.199219 -3.239466 230.68111

0.288 -0.202227 -3.007852 231.61376

0.289 -0.205003 -2.775546 232.30548

0.29 -0.207545 -2.542788 232.75797

0.291 -0.209855 -2.309815 232.97318

0.292 -0.211932 -2.076862 232.95326

0.293 -0.213776 -1.844161 232.70059

0.294 -0.215388 -1.611944 232.21775

0.295 -0.216769 -1.380436 231.50751

0.296 -0.217918 -1.149863 230.57287

0.297 -0.218839 -0.920446 229.41701

0.298 -0.219531 -0.692403 228.04328

0.299 -0.219997 -0.465948 226.45525

0.3 -0.220238 -0.241291 224.65665

0.301 -0.220257 -0.01864 222.65137

0.302 -0.2200550.2018038 220.4435

0.303 -0.219635 0.4198411 218.03726

0.304 -0.2190.6352781 215.43705

0.305 -0.2181520.8479255 212.6474

0.306 -0.2170951.0575985 209.673

0.307 -0.215831 1.2641172 206.51867

0.308 -0.214363 1.4673066 203.18937

0.309 -0.212696 1.6669967 199.69017

0.31 -0.210833 1.863023 196.02627

0.311 -0.208778 2.055226 192.20298

0.312 -0.206535 2.2434517 188.22573

0.313 -0.204107 2.4275517 184.10002

0.314 -0.2015 2.6073832 179.83147

0.315 -0.198717 2.782809 175.42577

0.316 -0.1957632.9536977 170.8887

0.317 -0.192643 3.1199238 166.22612

0.318 -0.189362 3.2813677 161.44393

0.319 -0.185924 3.4379158 156.54812

0.32 -0.182334 3.5894606 151.54473

0.321 -0.178599 3.7359004 146.43982

0.322 -0.174721 3.8771399 141.23952

0.323 -0.170708 4.0130899 135.94999

0.324 -0.1665654.1436673 130.5774

0.325 -0.162296 4.2687952 125.127960.326 -0.157907 4.3884031 119.60788

0.327 -0.1534054.5024265 114.0234

0.328 -0.148794 4.6108073 108.38074

0.329 -0.144081 4.7134934 102.68612

0.33 -0.13927 4.810439196.945769

0.331 -0.134369 4.901605 91.165872

0.332 -0.129382 4.9869576 85.352608

0.333 -0.124315 5.0664698 79.512124

7/21/2019 Phys273 hw3


0.334 -0.119175 5.1401203 73.650533

0.335 -0.113967 5.2078942 67.773908

0.336 -0.108697 5.2697825 61.888275

0.337 -0.103372 5.3257821 55.999609

0.338 -0.097996 5.3758959 50.113831

0.339 -0.092576 5.4201327 44.236797

0.34 -0.087117 5.458507 38.374296

0.341 -0.081626 5.491039 32.532046

0.342 -0.076108 5.5177547 26.715687

0.343 -0.07057 5.538685520.930775

0.344 -0.065016 5.5538683 15.182782

0.345 -0.059452 5.5633454 9.4770858

0.346 -0.053885 5.5671643 3.8189696

0.347 -0.04832 5.565378 -1.786384

0.348 -0.0427625.5580441 -7.333899

0.349 -0.037217 5.5452255 -12.8186

0.35 -0.03169 5.5269898 -18.23564

0.351 -0.0261865.5034095 -23.58028

0.352 -0.0207125.4745617 -28.84788

0.353 -0.0152715.4405277 -34.03397

0.354 -0.00987 5.4013935 -39.13415

0.355 -0.0045125.3572493 -44.14421

0.3560.00079575.3081893 -49.06001

0.357 0.00605 5.2543117 -53.8776

0.3580.01124575.1957186 -58.59314

0.3590.01637835.1325157 -63.20293

0.36 0.02144315.0648122 -67.70341

0.3610.0264358 4.992721 -72.09119

0.362 0.0313521 4.9163581 -76.363

0.363 0.0361884.8358423 -80.51573

0.3640.04093934.7512959 -84.54641

0.3650.04560214.6628437 -88.45224

0.3660.05017274.5706131 -92.23057

0.3670.05464754.4747342 -95.87887

0.3680.05902284.3753394 -99.39482

0.3690.06329544.2725632 -102.7762

0.37 0.06746194.1665422 -106.021

0.3710.07151934.0574148 -109.1273

0.3720.07546473.9453214 -112.0935

0.3730.07929513.8304035 -114.91790.3740.08300793.7128044 -117.5991

0.3750.08660053.5926685 -120.1359

0.3760.09007073.4701413 -122.5272

0.377 0.0934163.3453692 -124.7721

0.3780.09663453.2184994 -126.8697

0.3790.09972423.0896799 -128.8195

0.38 0.10268332.9590589 -130.621

0.3810.1055101 2.826785 -132.2739

7/21/2019 Phys273 hw3


0.3820.10820312.6930071 -133.7779

0.3830.1107609 2.557874 -135.1331

0.3840.11318252.4215343 -136.3397

0.3850.11546662.2841364 -137.3978

0.386 0.11761242.1458285 -138.308

0.3870.11961922.0067577 -139.0707

0.3880.12148631.8670709 -139.6868

0.389 0.1232132 1.726914 -140.157

0.39 0.12479961.5864316 -140.4823

0.3910.12624541.4457677 -140.6639

0.3920.12755051.3050646 -140.7031

0.3930.12871491.1644635 -140.6011

0.394 0.129739 1.024104 -140.3596

0.3950.13062310.8841239 -139.9801

0.3960.13136780.7446595 -139.4644

0.3970.13197360.6058451 -138.8144

0.3980.1324415 0.467813 -138.0321

0.3990.13277220.3306934 -137.1196

0.4 0.13296680.1946143 -136.0791

0.4010.13302650.0597014 -134.9129

0.4020.1329526 -0.073922 -133.6235

0.4030.1327464 -0.206135 -132.2133

0.404 0.1324096 -0.33682 -130.6851

0.4050.1319437 -0.465862 -129.0414

0.4060.1313506 -0.593147 -127.2851

0.407 0.130632 -0.718566 -125.4191

0.408 0.12979 -0.842012 -123.4464

0.4090.1288266 -0.963382 -121.3699

0.41 0.127744 -1.082575 -119.1928

0.4110.1265446 -1.199493 -116.9183

0.4120.1252305 -1.314043 -114.5496

0.4130.1238044 -1.426133 -112.0901

0.414 0.1222687 -1.535676 -109.543

0.4150.1206261 -1.642588 -106.9119

0.4160.1188793 -1.746788 -104.2002

0.417 0.1170311 -1.8482 -101.4114

0.4180.1150844 -1.946749 -98.54913

0.419 0.113042 -2.042366 -95.61689

0.42 0.110907 -2.134984 -92.61835

0.4210.1086825 -2.224541 -89.557190.4220.1063715 -2.310978 -86.43707

0.423 0.1039773 -2.39424 -83.26172

0.424 0.101503 -2.474275 -80.03487

0.425 0.098952 -2.551035 -76.76024

0.4260.0963275 -2.624477 -73.44161

0.427 0.0936329 -2.69456 -70.08271

0.4280.0908717 -2.761247 -66.68733

0.4290.0880472 -2.824506 -63.25921

7/21/2019 Phys273 hw3


0.43 0.0851629 -2.884308 -59.80211

0.4310.0822222 -2.940628 -56.31978

0.4320.0792288 -2.993444 -52.81595

0.4330.0761861 -3.042738 -49.29435

0.4340.0730976 -3.088497 -45.75867

0.435 0.0699668 -3.13071 -42.21258

0.4360.0667975 -3.169369 -38.65975

0.437 0.063593 -3.204473 -35.10378

0.438 0.060357 -3.236021 -31.54827

0.439 0.057093 -3.264018 -27.99677

0.44 0.0538045 -3.288471 -24.45278

0.4410.0504951 -3.309391 -20.91978

0.4420.0471683 -3.326792 -17.40119

0.4430.0438276 -3.340692 -13.90039

0.4440.0404765 -3.351113 -10.42069

0.4450.0371184 -3.358078 -6.965374

0.4460.0337568 -3.361616 -3.537642

0.447 0.0303951 -3.361757 -0.14065

0.4480.0270365 -3.358534 3.2225135

0.4490.0236845 -3.351985 6.5488225

0.45 0.0203424 -3.34215 9.8353195

0.4510.0170133 -3.329071 13.079116

0.4520.0137005 -3.312793 16.277396

0.4530.0104072 -3.293366 19.427415

0.454 0.0071363 -3.27084 22.526507

0.455 0.003891 -3.245267 25.572082

0.4560.0006743 -3.216706 28.561628

0.457 -0.002511 -3.185213 31.492718

0.458 -0.005662 -3.15085 34.363004

0.459 -0.008775 -3.11368 37.170224

0.46 -0.011849 -3.073768 39.912202

0.461 -0.01488 -3.031181 42.586847

0.462 -0.017866 -2.985989 45.19216

0.463 -0.020805 -2.938262 47.726227

0.464 -0.023693 -2.888075 50.187227

0.465 -0.026528 -2.835502 52.57343

0.466 -0.029309 -2.780619 54.883197

0.467 -0.032032 -2.723504 57.114984

0.468 -0.034697 -2.664236 59.267338

0.469 -0.037299 -2.602897 61.3389010.47 -0.039839 -2.539569 63.328409

0.471 -0.042313 -2.474334 65.234694

0.472 -0.044721 -2.407278 67.056681

0.473 -0.047059 -2.338484 68.793392

0.474 -0.049327 -2.26804 70.443942

0.475 -0.051523 -2.196033 72.007543

0.476 -0.053646 -2.122549 73.4835

0.477 -0.055693 -2.047678 74.871214

7/21/2019 Phys273 hw3


0.478 -0.057665 -1.971508 76.17018

0.479 -0.059559 -1.894128 77.379986

0.48 -0.061375 -1.815628 78.500314

0.481 -0.063111 -1.736097 79.530939

0.482 -0.064766 -1.655625 80.471726

0.483 -0.066341 -1.574302 81.322633

0.484 -0.067833 -1.492219 82.083709

0.485 -0.069242 -1.409463 82.755091

0.486 -0.070568 -1.326126 83.337003

0.487 -0.071811 -1.242297 83.82976

0.488 -0.072969 -1.158063 84.233759

0.489 -0.074042 -1.073513 84.549484

0.49 -0.075031 -0.988736 84.777502

0.491 -0.075935 -0.903817 84.918463

0.492 -0.076754 -0.818844 84.973096

0.493 -0.077488 -0.733902 84.94221

0.494 -0.078137 -0.649075 84.82669

0.495 -0.078701 -0.564448 84.627498

0.496 -0.079181 -0.480102 84.345671

0.497 -0.079577 -0.39612 83.982317

0.498 -0.07989 -0.312581 83.538613

0.499 -0.08012 -0.229566 83.015809

0.5 -0.080267 -0.14715 82.415216

0.501 -0.080332 -0.065412 81.738214

0.502 -0.080317 0.0155741 80.986244

0.503 -0.080221 0.0957349 80.160808

0.504 -0.080046 0.1749984 79.263465

0.505 -0.079793 0.2532942 78.295832

0.506 -0.079462 0.3305538 77.259579

0.507 -0.079055 0.4067103 76.156429

0.508 -0.078574 0.4816984 74.988155

0.509 -0.078018 0.555455 73.756575

0.51 -0.07739 0.627918572.463554

0.511 -0.076691 0.6990295 71.111

0.512 -0.075922 0.7687304 69.700861

0.513 -0.075085 0.8369655 68.235122

0.514 -0.074182 0.9036813 66.715805

0.515 -0.073213 0.9688263 65.144965

0.516 -0.072181 1.032351 63.52469

0.517 -0.071086 1.0942081 61.8570920.518 -0.069932 1.1543524 60.144313

0.519 -0.068719 1.2127409 58.388517

0.52 -0.06745 1.269332856.591891

0.521 -0.066126 1.3240894 54.756639

0.522 -0.064749 1.3769744 52.884984

0.523 -0.063321 1.4279536 50.979159

0.524 -0.061844 1.476995 49.041414

0.525 -0.06032 1.524069 47.074005

7/21/2019 Phys273 hw3


0.526 -0.058751 1.5691482 45.079196

0.527 -0.057139 1.6122074 43.059256

0.528 -0.055485 1.6532239 41.016456

0.529 -0.053793 1.692177 38.953067

0.53 -0.0520641.7290483 36.87136

0.531 -0.0503 1.7638219 34.773598

0.532 -0.048504 1.796484 32.66204

0.533 -0.046677 1.8270229 30.538936

0.534 -0.044821 1.8554294 28.406523

0.535 -0.04294 1.881696526.267029

0.536 -0.041034 1.9058191 24.122662

0.537 -0.039106 1.9277947 21.975616

0.538 -0.037158 1.9476228 19.828065

0.539 -0.035193 1.965305 17.682162

0.54 -0.033212 1.980845 15.540035

0.541 -0.0312181.9942488 13.40379

0.542 -0.029212 2.0055243 11.275503

0.543 -0.027198 2.0146815 9.1572239

0.544 -0.025176 2.0217325 7.0509702

0.545 -0.0231492.0266912 4.958728

0.546 -0.02112 2.02957372.8824495

0.547 -0.019089 2.0303977 0.8240513

0.548 -0.01706 2.0291831 -1.214587

0.549 -0.0150342.0259515 -3.231624

0.55 -0.0130142.0207262 -5.225259

0.551 -0.0112.0135325 -7.193733

0.552 -0.0089962.0043972 -9.135328

0.553 -0.0070021.9933488 -11.04837

0.554 -0.0050221.9804176 -12.93124

0.555 -0.0030561.9656352 -14.78234

0.556 -0.0011071.9490351 -16.60015

0.5570.00082351.9306519 -18.38319

0.558 0.0027341.9105219 -20.13001

0.5590.00462271.8886826 -21.83923

0.56 0.00648791.8651731 -23.50952

0.561 0.00832791.8400335 -25.1396

0.5620.01014121.8133053 -26.72824

0.5630.0119262 1.785031 -28.27426

0.5640.01368151.7552545 -29.77655

0.5650.01540551.7240205 -31.234040.5660.01709691.6913747 -32.64572

0.5670.01875431.6573641 -34.01063

0.5680.02037631.6220362 -35.32789

0.5690.02196171.5854396 -36.59665

0.57 0.02350931.5476234 -37.81612

0.571 0.0250181.5086379 -38.98558

0.5720.02648651.4685335 -40.10437

0.5730.02791391.4273616 -41.17186

7/21/2019 Phys273 hw3


0.574 0.02929911.3851741 -42.1875

0.575 0.03064111.3420233 -43.1508

0.576 0.031939 1.297962 -44.06131

0.5770.03319211.2530434 -44.91866

0.5780.03439941.2073208 -45.72252

0.5790.03556031.1608482 -46.47261

0.58 0.03667391.1136795 -47.16874

0.5810.03773981.0658688 -47.81073

0.5820.03875731.0174703 -48.39849

0.5830.03972580.9685383 -48.93198

0.5840.04064490.9191271 -49.41119

0.5850.04151420.8692909 -49.83621

0.5860.04233330.8190838 -50.20714

0.5870.04310190.7685596 -50.52415

0.5880.04381960.7177721 -50.78747

0.5890.04448640.6667748 -50.99737

0.59 0.0451020.6156206 -51.15417

0.5910.04566640.5643624 -51.25825

0.5920.04617950.5130523 -51.31003

0.5930.04664120.4617424 -51.30998

0.5940.04705170.4104837 -51.25862

0.595 0.0474110.3593272 -51.15652

0.5960.04771930.3083229 -51.00428

0.5970.04797690.2575204 -50.80256

0.5980.04818380.2069683 -50.55206

0.599 0.04834050.1567148 -50.2535

0.6 0.04844730.1068071 -49.90768

0.6010.04850460.0572917 -49.51541

0.6020.04851280.0082142 -49.07755

0.6030.0484725 -0.040381 -48.59499

0.604 0.048384 -0.088449 -48.06866

0.6050.0482481 -0.135949 -47.49952

0.6060.0480652 -0.182838 -46.88858

0.6070.0478362 -0.229074 -46.23685

0.608 0.0475615 -0.27462 -45.54541

0.6090.0472421 -0.319435 -44.81534

0.61 0.0468786 -0.363483 -44.04775

0.6110.0464719 -0.406727 -43.24379

0.6120.0460228 -0.449131 -42.40462

0.6130.0455321 -0.490663 -41.531450.6140.0450008 -0.531288 -40.62547

0.6150.0444298 -0.570976 -39.68793

0.6160.0438201 -0.609696 -38.72007

0.6170.0431727 -0.647419 -37.72317

0.6180.0424886 -0.684118 -36.69852

0.6190.0417688 -0.719765 -35.64742

0.62 0.0410145 -0.754337 -34.57118

0.6210.0402267 -0.787808 -33.47113

7/21/2019 Phys273 hw3


0.6220.0394065 -0.820156 -32.34861

0.6230.0385552 -0.851361 -31.20497

0.6240.0376738 -0.881403 -30.04156

0.6250.0367635 -0.910263 -28.85974

0.6260.0358256 -0.937923 -27.66088

0.627 0.0348612 -0.96437 -26.44635

0.6280.0338716 -0.989587 -25.21752

0.6290.0328581 -1.013563 -23.97575

0.63 0.0318218 -1.036286 -22.72243

0.631 0.030764 -1.057744 -21.45892

0.6320.0296861 -1.077931 -20.18659

0.6330.0285893 -1.096838 -18.90679

0.6340.0274748 -1.114459 -17.62089

0.635 0.026344 -1.130789 -16.33022

0.6360.0251982 -1.145825 -15.03613

0.6370.0240386 -1.159565 -13.73994

0.6380.0228666 -1.172008 -12.44298

0.6390.0216835 -1.183154 -11.14654

0.64 0.0204905 -1.193006 -9.851919

0.6410.0192889 -1.201567 -8.560394

0.642 0.0180801 -1.20884 -7.273223

0.6430.0168652 -1.214832 -5.991651

0.6440.0156457 -1.219549 -4.716903

0.6450.0144227 -1.222999 -3.450185

0.6460.0131975 -1.225191 -2.192684

0.6470.0119713 -1.226137 -0.945566

0.6480.0107455 -1.225847 0.2900267

0.6490.0095212 -1.224334 1.5129734

0.65 0.0082996 -1.221612 2.7221777

0.6510.0070819 -1.217695 3.9165677

0.652 0.0058693 -1.2126 5.0950973

0.6530.0046629 -1.206343 6.2567465

0.654 0.003464 -1.198943 7.4005225

0.6550.0022736 -1.190417 8.5254602

0.6560.0010928 -1.180787 9.630623

0.657 -7.7!-005 -1.170072 10.715104

0.658 -0.001236 -1.158294 11.778024

0.659 -0.002381 -1.145475 12.818538

0.66 -0.003513 -1.131639 13.835828

0.661 -0.00463 -1.11681 14.8291090.662 -0.005731 -1.101013 15.797628

0.663 -0.006815 -1.084272 16.740664

0.664 -0.007881 -1.066614 17.657529

0.665 -0.008929 -1.048067 18.547568

0.666 -0.009958 -1.028657 19.41016

0.667 -0.010967 -1.008412 20.244715

0.668 -0.011954 -0.987361 21.050679

0.669 -0.012919 -0.965534 21.827534

7/21/2019 Phys273 hw3


0.67 -0.013862 -0.942959 22.574792

0.671 -0.014782 -0.919667 23.292003

0.672 -0.015678 -0.895688 23.97875

0.673 -0.016549 -0.871054 24.634651

0.674 -0.017395 -0.845794 25.259358

0.675 -0.018215 -0.819942 25.852559

0.676 -0.019008 -0.793528 26.413975

0.677 -0.019775 -0.766584 26.943363

0.678 -0.020514 -0.739144 27.440513

0.679 -0.021225 -0.711239 27.905252

0.68 -0.021908 -0.682901 28.337438

0.681 -0.022562 -0.654164 28.736965

0.682 -0.023187 -0.62506 29.103759

0.683 -0.023783 -0.595623 29.437782

0.684 -0.024349 -0.565884 29.739027

0.685 -0.024885 -0.535876 30.00752

0.686 -0.02539 -0.505633 30.243321

0.687 -0.025865 -0.475186 30.44652

0.688 -0.02631 -0.444569 30.617241

0.689 -0.026724 -0.413813 30.755638

0.69 -0.027107 -0.382951 30.861895

0.691 -0.027459 -0.352015 30.936227

0.692 -0.02778 -0.321036 30.97888

0.693 -0.02807 -0.290046 30.990128

0.694 -0.028329 -0.259076 30.970273

0.695 -0.028557 -0.228156 30.919646

0.696 -0.028754 -0.197318 30.838606

0.697 -0.028921 -0.16659 30.727537

0.698 -0.029057 -0.136003 30.586852

0.699 -0.029163 -0.105586 30.416987

0.7 -0.029238 -0.075368 30.218403

0.701 -0.029283 -0.045376 29.991587

0.702 -0.029299 -0.015639 29.737047

0.703 -0.029285 0.0138161 29.455316

0.704 -0.029242 0.042963 29.146947

0.705 -0.02917 0.071775528.812514

0.706 -0.02907 0.100228128.452614

0.707 -0.028942 0.128296 28.06786

0.708 -0.028786 0.1559549 27.658885

0.709 -0.028603 0.1831812 27.2263410.71 -0.028393 0.2099521 26.770897

0.711 -0.028157 0.2362454 26.293235

0.712 -0.027894 0.2620394 25.794058

0.713 -0.027607 0.2873135 25.274078

0.714 -0.027295 0.3120475 24.734024

0.715 -0.026959 0.3362222 24.174636

0.716 -0.026599 0.3598188 23.596667

0.717 -0.026216 0.3828197 23.000882

7/21/2019 Phys273 hw3


0.718 -0.025811 0.4052078 22.388053

0.719 -0.025384 0.4269667 21.758965

0.72 -0.024936 0.4480811 21.114409

0.721 -0.024467 0.4685363 20.455183

0.722 -0.023979 0.4883184 19.782095

0.723 -0.023472 0.5074144 19.095956

0.724 -0.022946 0.5258119 18.397582

0.725 -0.022402 0.5434997 17.687794

0.726 -0.021842 0.5604672 16.967416

0.727 -0.021265 0.5767044 16.237275

0.728 -0.020673 0.5922026 15.498198

0.729 -0.020066 0.6069536 14.751013

0.73 -0.0194450.6209502 13.99655

0.731 -0.018811 0.6341858 13.235634

0.732 -0.018164 0.6466549 12.469092

0.733 -0.017506 0.6583527 11.697746

0.734 -0.016837 0.6692751 10.922416

0.735 -0.016157 0.679419 10.143917

0.736 -0.015468 0.6887821 9.3630584

0.737 -0.014771 0.6973627 8.5806457

0.738 -0.014066 0.7051602 7.7974766

0.739 -0.013354 0.7121745 7.0143416

0.74 -0.012635 0.7184065 6.2320237

0.741 -0.011912 0.7238578 5.4512969

0.742 -0.011183 0.7285308 4.6729261

0.743 -0.010451 0.7324284 3.8976661

0.744 -0.0097150.7355547 3.126261

0.745 -0.008977 0.7379141 2.3594437

0.746 -0.008238 0.7395121 1.5979351

0.747 -0.007497 0.7403545 0.8424437

0.748 -0.006757 0.7404482 0.0936647

0.749 -0.006017 0.7398005 -0.64772

0.75 -0.0052790.7384194 -1.381043

0.751 -0.0045420.7363138 -2.105652

0.752 -0.003809 0.7334929 -2.82091

0.753 -0.0030790.7299667 -3.526193

0.754 -0.0023530.7257458 -4.220898

0.755 -0.0016320.7208413 -4.904435

0.756 -0.0009170.7152651 -5.576232

0.757 -0.0002080.7090294 -6.2357350.7580.0004943 0.702147 -6.882407

0.7590.00118890.6946312 -7.515729

0.76 0.0018754 0.686496 -8.135203

0.7610.00255310.6777557 -8.740347

0.762 0.0032216 0.668425 -9.3307

0.7630.00388010.6585192 -9.905818

0.7640.00452810.6480539 -10.46528

0.7650.00516520.6370452 -11.00868

7/21/2019 Phys273 hw3


0.7660.00579070.6255096 -11.53564

0.7670.00640420.6134638 -12.04579

0.768 0.0070051 0.600925 -12.5388

0.769 0.0075930.5879106 -13.01433

0.77 0.00816740.5744385 -13.4721

0.771 0.0087280.5605267 -13.91182

0.7720.00927420.5461935 -14.33323

0.7730.00980560.5314574 -14.73609

0.7740.01032190.5163372 -15.12019

0.7750.01082280.5008519 -15.48532

0.7760.01130780.4850206 -15.83132

0.7770.01177670.4688626 -16.15803

0.7780.01222910.4523972 -16.46531

0.7790.01266470.4356442 -16.75305

0.78 0.0130833 0.418623 -17.02117

0.7810.01348470.4013534 -17.26958

0.7820.01386860.3838552 -17.49824

0.7830.01423470.3661481 -17.70711

0.784 0.0145830.3482519 -17.89619

0.7850.01491310.3301864 -18.06548

0.7860.01522510.3119714 -18.21501

0.7870.01551870.2936266 -18.34483

0.7880.01579390.2751716 -18.45501

0.7890.0160505 0.256626 -18.54563

0.79 0.01628850.2380092 -18.6168

0.7910.01650790.2193405 -18.66864

0.7920.01670850.2006392 -18.70129

0.7930.01689050.1819243 -18.71492

0.7940.01705370.1632146 -18.70969

0.7950.01719820.1445288 -18.68581

0.7960.01732410.1258853 -18.64348

0.7970.01743140.1073024 -18.58293

0.7980.0175202 0.088798 -18.50441

0.7990.01759060.0703898 -18.40816

0.8 0.01764270.0520954 -18.29447

0.8010.01767660.0339317 -18.16362

0.8020.01769250.0159158 -18.01592

0.8030.0176906 -0.001936 -17.85167

0.804 0.017671 -0.019607 -17.67122

0.805 0.0176339 -0.037082 -17.47490.8060.0175795 -0.054345 -17.26307

0.8070.0175082 -0.071381 -17.03609

0.808 0.01742 -0.088175 -16.79435

0.8090.0173153 -0.104714 -16.53823

0.81 0.0171943 -0.120982 -16.26814

0.8110.0170573 -0.136966 -15.98447

0.8120.0169047 -0.152654 -15.68766

0.8130.0167366 -0.168032 -15.37813

7/21/2019 Phys273 hw3


0.8140.0165536 -0.183088 -15.05632

0.8150.0163557 -0.197811 -14.72267

0.8160.0161436 -0.212189 -14.37763

0.817 0.0159173 -0.22621 -14.02166

0.8180.0156775 -0.239866 -13.65524

0.8190.0154243 -0.253144 -13.27882

0.82 0.0151583 -0.266037 -12.89289

0.8210.0148798 -0.278535 -12.49792

0.822 0.0145891 -0.29063 -12.09441

0.8230.0142868 -0.302312 -11.68283

0.8240.0139732 -0.313576 -11.26369

0.8250.0136488 -0.324414 -10.83748

0.826 0.013314 -0.334818 -10.40469

0.8270.0129692 -0.344784 -9.965824

0.8280.0126149 -0.354306 -9.521381

0.8290.0122515 -0.363377 -9.071862

0.83 0.0118795 -0.371995 -8.617766

0.8310.0114994 -0.380155 -8.159593

0.8320.0111115 -0.387853 -7.697843

0.8330.0107165 -0.395086 -7.233011

0.8340.0103146 -0.401851 -6.765596

0.8350.0099065 -0.408147 -6.296089

0.836 0.0094925 -0.413972 -5.82498

0.8370.0090732 -0.419325 -5.352758

0.838 0.008649 -0.424205 -4.879906

0.8390.0082203 -0.428612 -4.406902

0.84 0.0077878 -0.432546 -3.934221

0.8410.0073518 -0.436008 -3.462332

0.842 0.0069128 -0.439 -2.991701

0.8430.0064713 -0.441523 -2.522784

0.8440.0060277 -0.443579 -2.056033

0.8450.0055825 -0.445171 -1.591894

0.8460.0051362 -0.446302 -1.130804

0.8470.0046892 -0.446975 -0.673194

0.848 0.004242 -0.447194 -0.219487

0.8490.0037951 -0.446964 0.2299018

0.85 0.0033488 -0.44629 0.6745672

0.8510.0029036 -0.445176 1.1141114

0.852 0.00246 -0.443628 1.548146

0.8530.0020183 -0.441651 1.97629210.8540.0015791 -0.439253 2.3981805

0.855 0.0011426 -0.43644 2.8134518

0.8560.0007094 -0.433218 3.2217569

0.8570.0002798 -0.429595 3.6227573

0.858 -0.000146 -0.425579 4.0161248

0.859 -0.000567 -0.421177 4.4015426

0.86 -0.000983 -0.416399 4.7787047

0.861 -0.001395 -0.411251 5.1473164

7/21/2019 Phys273 hw3


0.862 -0.0018 -0.405744 5.5070947

0.863 -0.0022 -0.399887 5.8577681

0.864 -0.002594 -0.393688 6.199077

0.865 -0.002981 -0.387157 6.5307738

0.866 -0.003361 -0.380304 6.8526228

0.867 -0.003734 -0.37314 7.1644007

0.868 -0.0041 -0.365674 7.4658964

0.869 -0.004458 -0.357917 7.7569112

0.87 -0.004808 -0.34988 8.037259

0.871 -0.00515 -0.341573 8.3067661

0.872 -0.005483 -0.333008 8.5652713

0.873 -0.005807 -0.324195 8.8126262

0.874 -0.006122 -0.315146 9.048695

0.875 -0.006428 -0.305873 9.2733543

0.876 -0.006724 -0.296386 9.4864937

0.877 -0.007011 -0.286698 9.6880152

0.878 -0.007288 -0.276821 9.8778335

0.879 -0.007554 -0.266765 10.055876

0.88 -0.007811 -0.256543 10.222082

0.881 -0.008057 -0.246166 10.376404

0.882 -0.008293 -0.235647 10.518806

0.883 -0.008518 -0.224998 10.649265

0.884 -0.008732 -0.21423 10.767771

0.885 -0.008935 -0.203356 10.874323

0.886 -0.009128 -0.192387 10.968936

0.887 -0.009309 -0.181336 11.051634

0.888 -0.009479 -0.170213 11.122453

0.889 -0.009638 -0.159032 11.181442

0.89 -0.009786 -0.147803 11.228659

0.891 -0.009923 -0.136539 11.264175

0.892 -0.010048 -0.125251 11.288072

0.893 -0.010162 -0.11395 11.300442

0.894 -0.010265 -0.102649 11.301388

0.895 -0.010356 -0.091358 11.291023

0.896 -0.010436 -0.080088 11.269471

0.897 -0.010505 -0.068852 11.236864

0.898 -0.010562 -0.057658 11.193347

0.899 -0.010609 -0.046519 11.139072

0.9 -0.010644 -0.035445 11.0742

0.901 -0.010669 -0.024446 10.9989030.902 -0.010682 -0.013533 10.91336

0.903 -0.010685 -0.002715 10.817759

0.904 -0.010677 0.0079974 10.712296

0.905 -0.010659 0.0185946 10.597176

0.906 -0.0106290.0290672 10.47261

0.907 -0.01059 0.039406 10.338816

0.908 -0.01054 0.049602 10.196022

0.909 -0.0104810.0596465 10.04446

7/21/2019 Phys273 hw3


0.91 -0.010411 0.0695309 9.8843688

0.911 -0.010332 0.0792469 9.7159942

0.912 -0.010243 0.0887865 9.5395874

0.913 -0.010145 0.0981419 9.3554051

0.914 -0.010038 0.1073056 9.1637091

0.915 -0.009922 0.1162703 8.9647665

0.916 -0.009797 0.1250292 8.7588485

0.917 -0.009663 0.1335754 8.5462308

0.918 -0.009521 0.1419026 8.3271931

0.919 -0.009371 0.1500046 8.1020185

0.92 -0.009213 0.1578756 7.8709937

0.921 -0.009048 0.16551 7.6344082

0.922 -0.0088750.1729026 7.392554

0.923 -0.008695 0.1800483 7.1457259

0.924 -0.008508 0.1869425 6.8942203

0.925 -0.008314 0.1935809 6.6383356

0.926 -0.008114 0.1999592 6.3783714

0.927 -0.007908 0.2060739 6.1146284

0.928 -0.007696 0.2119213 5.8474083

0.929 -0.007479 0.2174983 5.5770129

0.93 -0.007256 0.222802 5.3037445

0.931 -0.0070280.2278299 5.027905

0.932 -0.0067960.2325797 4.749796

0.933 -0.006558 0.2370495 4.4697183

0.934 -0.006317 0.2412374 4.1879717

0.935 -0.006072 0.2451423 3.9048546

0.936 -0.005823 0.2487629 3.6206637

0.937 -0.005571 0.2520986 3.3356942

0.938 -0.005316 0.2551489 3.0502386

0.939 -0.005058 0.2579135 2.7645873

0.94 -0.0047980.2603925 2.479028

0.941 -0.004535 0.2625863 2.1938452

0.942 -0.004271 0.2644957 1.9093204

0.943 -0.004005 0.2661214 1.6257316

0.944 -0.003737 0.2674647 1.3433529

0.945 -0.003469 0.2685272 1.0624546

0.946 -0.003199 0.2693105 0.7833028

0.947 -0.002929 0.2698167 0.5061593

0.948 -0.002659 0.2700479 0.2312811

0.949 -0.002389 0.2700069 -0.041080.95 -0.00212 0.2696962 -0.310676

0.951 -0.0018510.2691189 -0.577265

0.952 -0.0015820.2682783 -0.840611

0.953 -0.0013150.2671778 -1.100484

0.954 -0.0010490.2658212 -1.356657

0.955 -0.0007850.2642123 -1.608911

0.956 -0.0005230.2623552 -1.857034

0.957 -0.0002620.2602544 -2.100819

7/21/2019 Phys273 hw3


0.958 -4.6!-006 0.2579143 -2.340065

0.9590.00025080.2553398 -2.574579

0.96 0.00050330.2525356 -2.804173

0.9610.00075280.2495069 -3.028667

0.9620.0009991 0.246259 -3.247887

0.9630.00124190.2427974 -3.461667

0.964 0.0014810.2391275 -3.669848

0.9650.00171630.2352552 -3.872277

0.966 0.00194740.2311864 -4.06881

0.9670.00217440.2269271 -4.259308

0.9680.00239690.2224835 -4.443642

0.9690.00261470.2178618 -4.621689

0.97 0.00282780.2130685 -4.793334

0.971 0.0030359 0.20811 -4.958469

0.9720.0032389 0.202993 -5.116994

0.9730.00343660.1977242 -5.268817

0.9740.00362890.1923103 -5.413853

0.9750.00381570.1867583 -5.552025

0.9760.0039968 0.181075 -5.683263

0.977 0.0041720.1752675 -5.807506

0.9780.00434140.1693428 -5.924698

0.9790.0045047 0.163308 -6.034794

0.98 0.00466180.1571703 -6.137754

0.9810.00481280.1509367 -6.233547

0.9820.00495740.1446146 -6.322148

0.9830.0050956 0.138211 -6.403541

0.9840.00522730.1317333 -6.477717

0.9850.00535250.1251887 -6.544673

0.9860.00547110.1185842 -6.604415

0.987 0.0055830.1119273 -6.656955

0.9880.0056883 0.105225 -6.702313

0.9890.00578670.0984845 -6.740515

0.99 0.00587850.0917129 -6.771594

0.9910.00596340.0849173 -6.795591

0.9920.00604150.0781047 -6.812552

0.9930.00611280.0712822 -6.822531

0.9940.00617720.0644566 -6.825588

0.9950.00623490.0576348 -6.821789

0.9960.00628570.0508236 -6.811206

0.9970.00632970.0440297 -6.7939170.998 0.0063670.0372597 -6.770008

0.9990.00639750.0305201 -6.739568

1 0.00642130.0238174 -6.702692

7/21/2019 Phys273 hw3


Position

Position

7/21/2019 Phys273 hw3


7/21/2019 Phys273 hw3


t x v a

0 1 0 -1000

0.001 0.999 -1 -1000

0.002 0.9970013 -1.9987 -998.7 -999

0.003 0.9940062 -2.995102 -996.4017

0.004 0.990018 -3.988209 -993.1077

0.005 0.985041 -4.977031 -988.8215

0.006 0.9790804 -5.960579 -983.5478

0.007 0.9721425 -6.937871 -977.2922

0.008 0.9642346 -7.907932 -970.0611

0.009 0.9553648 -8.869794 -961.8622

0.01 0.9455423 -9.822498 -952.7038

0.011 0.9347772 -10.76509 -942.5955

0.012 0.9230805 -11.69664 -931.5477

0.013 0.9104643 -12.61621 -919.5716

0.014 0.8969414 -13.52289 -906.6795

0.015 0.8825257 -14.41578 -892.8846

0.016 0.8672317 -15.29398 -878.2009

0.017 0.8510751 -16.15662 -862.6435

0.018 0.8340722 -17.00285 -846.2281

0.019 0.8162404 -17.83182 -828.9714

0.02 0.7975977 -18.64271 -810.8909

0.021 0.778163 -19.43472 -792.0049

0.022 0.7579559 -20.20705 -772.3326

0.023 0.736997 -20.95894 -751.8938

0.024 0.7153073 -21.68965 -730.7093

0.025 0.6929089 -22.39845 -708.8004

0.026 0.6698242 -23.08464 -686.1893

0.027 0.6460767 -23.74754 -662.8988

0.028 0.6216902 -24.38649 -638.9524

0.029 0.5966893 -25.00087 -614.3742

0.03 0.5710993 -25.59006 -589.1891

0.031 0.5449458 -26.15348 -563.4223

0.032 0.5182552 -26.69058 -537.0998

0.033 0.4910544 -27.20083 -510.248

0.034 0.4633707 -27.68372 -482.8941

0.035 0.4352319 -28.13879 -455.0656

0.036 0.4066663 -28.56558 -426.7902

0.037 0.3777026 -28.96367 -398.0966

0.038 0.3483699 -29.33269 -369.01350.039 0.3186977 -29.67226 -339.5701

0.04 0.2887156 -29.98205 -309.796

0.041 0.2584539 -30.26177 -279.721

0.042 0.2279427 -30.51115 -249.3753

0.043 0.1972128 -30.72994 -218.7894

0.044 0.1662948 -30.91793 -187.9938

0.045 0.1352199 -31.07495 -157.0195

0.046 0.104019 -31.20085 -125.8974

-1.5

-1

-0.5

0

0.5

1

1.5

P

7/21/2019 Phys273 hw3


0.047 0.0727235 -31.29551 -94.65879

0.048 0.0413647 -31.35884 -63.33488

0.049 0.0099739 -31.3908 -31.95704

0.05 -0.021417 -31.39136 -0.55665

0.051 -0.052778 -31.3605230.834874

0.052 -0.084076 -31.2983462.186145

0.053 -0.115281 -31.2048793.465824

0.054 -0.146361 -31.08023124.64265

0.055 -0.177286 -30.92454155.68549

0.056 -0.208024 -30.73798186.56332

0.057 -0.238545 -30.52073217.24533

0.058 -0.268818 -30.27303247.70089

0.059 -0.298813 -29.99513277.89961

0.06 -0.3285 -29.68732 307.81138

0.061 -0.35785 -29.34991 337.40636

0.062 -0.386833 -28.98326366.65505

0.063 -0.415421 -28.58773395.52831

0.064 -0.443585 -28.16373423.99738

0.065 -0.471296 -27.7117 452.03392

0.066 -0.498529 -27.23209479.61001

0.067 -0.525254 -26.72539506.69822

0.068 -0.551446 -26.19212 533.2716

0.069 -0.577079 -25.63282559.30374

0.07 -0.602127 -25.04805584.76876

0.071 -0.626565 -24.43841609.64138

0.072 -0.65037 -23.80451 633.89689

0.073 -0.673517 -23.147 657.51123

0.074 -0.695983 -22.46654680.46098

0.075 -0.717747 -21.76381702.72338

0.076 -0.738787 -21.03954724.27637

0.077 -0.759081 -20.29444745.09863

0.078 -0.77861 -19.52927 765.16954

0.079 -0.797355 -18.7448 784.46926

0.08 -0.815297 -17.94182802.97871

0.081 -0.832418 -17.12114820.67964

0.082 -0.848702 -16.28359837.55458

0.083 -0.864132 -15.43 853.5869

0.084 -0.878693 -14.56124868.76083

0.085 -0.892371 -13.67818883.06144

0.086 -0.905153 -12.7817 896.47470.087 -0.917026 -11.87272908.98746

0.088 -0.927978 -10.95213920.58748

0.089 -0.937999 -10.02086931.26343

0.09 -0.947079 -9.07986 941.00491

0.091 -0.955209 -8.130057949.80247

0.092 -0.962381 -7.17241 957.64759

0.093 -0.968589 -6.207877964.53271

0.094 -0.973826 -5.237426970.45122

7/21/2019 Phys273 hw3


0.095 -0.978088 -4.262028975.39751

0.096 -0.981371 -3.282662979.36692

0.097 -0.983671 -2.300306982.35577

0.098 -0.984987 -1.315944984.36137

0.099 -0.985318 -0.330562985.38201

0.1 -0.984663 0.6548546985.41696

0.101 -0.983024 1.639321984.46648

0.102 -0.980402 2.6218529982.53182

0.103 -0.9768 3.6014681 979.6152

0.104 -0.972223 4.5771879975.71985

0.105 -0.966675 5.5480379970.84995

0.106 -0.960162 6.5130485965.01065

0.107 -0.952691 7.4712566 958.2081

0.108 -0.944269 8.421706950.44938

0.109 -0.934906 9.3634485941.74254

0.11 -0.92461 10.295545932.09657

0.111 -0.913393 11.217067 921.5214

0.112 -0.901266 12.127094910.02787

0.113 -0.888241 13.024722897.62777

0.114 -0.874332 13.909056884.33376

0.115 -0.859553 14.779215 870.1594

0.116 -0.843919 15.634334855.11914

0.117 -0.827445 16.473563839.22827

0.118 -0.810149 17.296066822.50294

0.119 -0.792048 18.101026804.96012

0.12 -0.77316 18.887643786.61761

0.121 -0.753505 19.655137767.49398

0.122 -0.733102 20.402746 747.6086

0.123 -0.711973 21.129728726.98157

0.124 -0.690137 21.835361705.63374

0.125 -0.667618 22.518948683.58669

0.126 -0.644439 23.179811660.86267

0.127 -0.620621 23.817295 637.4846

0.128 -0.59619 24.430771613.47606

0.129 -0.571171 25.019633588.86125

0.13 -0.545588 25.583298563.66495

0.131 -0.519466 26.12121537.91256

0.132 -0.492833 26.63284511.62997

0.133 -0.465716 27.117684484.84364

0.134 -0.438141 27.575264457.580510.135 -0.410135 28.005132429.86797

0.136 -0.381729 28.406866401.73388

0.137 -0.352948 28.780073373.20649

0.138 -0.323824 29.124387344.31446

0.139 -0.294385 29.439474315.08677

0.14 -0.26466 29.725027285.55277

0.141 -0.234679 29.980769255.74208

0.142 -0.204472 30.206453225.68459

7/21/2019 Phys273 hw3


0.143 -0.174071 30.401864195.41043

0.144 -0.143504 30.566814164.94995

0.145 -0.112803 30.701147134.33365

0.146 -0.081998 30.804739 103.5922

0.147 -0.05112 30.87749672.756383

0.148 -0.020201 30.919353 41.85706

0.149 0.0107293 30.930278 10.92515

0.15 0.0416396 30.91027 -20.00841

0.151 0.0724989 30.859357 -50.91267

0.152 0.1032765 30.7776 -81.75676

0.153 0.1339416 30.66509 -112.5098

0.154 0.1644636 30.521949 -143.1412

0.155 0.1948119 30.348329 -173.6202

0.156 0.2249563 30.144413 -203.9164

0.157 0.2548667 29.910413 -234

0.158 0.2845133 29.646573 -263.8399

0.159 0.3138665 29.353166 -293.4073

0.16 0.342897 29.030493 -322.6724

0.161 0.3715759 28.678887 -351.6061

0.162 0.3998746 28.298708 -380.1795

0.163 0.4277649 27.890344 -408.3642

0.164 0.4552191 27.454212 -436.132

0.165 0.4822099 26.990756 -463.4554

0.166 0.5087103 26.500449 -490.3071

0.167 0.5346941 25.983789 -516.6605

0.168 0.5601354 25.441299 -542.4893

0.169 0.585009 24.873532 -567.7678

0.17 0.60929 24.28106 -592.471

0.171 0.6329545 23.664486 -616.5743

0.172 0.6559789 23.024432 -640.0538

0.173 0.6783405 22.361546 -662.8863

0.174 0.700017 21.676497 -685.0489

0.175 0.7209869 20.969977 -706.5199

0.176 0.7412296 20.242699 -727.2779

0.177 0.760725 19.495397 -747.3025

0.178 0.7794539 18.728823 -766.5737

0.179 0.7973976 17.943751 -785.0725

0.18 0.8145386 17.14097 -802.7807

0.181 0.8308599 16.321289 -819.6809

0.182 0.8463454 15.485533 -835.75630.183 0.86098 14.634542 -850.9911

0.184 0.8747491 13.769171 -865.3703

0.185 0.8876394 12.890291 -878.8799

0.186 0.8996382 11.998785 -891.5065

0.187 0.9107337 11.095547 -903.2378

0.188 0.9209152 10.181485 -914.0624

0.189 0.9301727 9.257515 -923.9697

0.19 0.9384973 8.324565 -932.95

7/21/2019 Phys273 hw3


0.191 0.9458809 7.3835704 -940.9947

0.192 0.9523164 6.4354744 -948.096

0.193 0.9577976 5.4812274 -954.247

0.194 0.9623194 4.5217855 -959.442

0.195 0.9658775 3.5581095 -963.6759

0.196 0.9684686 2.5911646 -966.9449

0.197 0.9700906 1.6219186 -969.246

0.198 0.9707419 0.6513415 -970.5771

0.199 0.9704223 -0.319596 -970.9373

0.2 0.9691324 -1.289922 -970.3264

0.201 0.9668737 -2.258668 -968.7454

0.202 0.9636489 -3.224864 -966.1961

0.203 0.9594613 -4.187545 -962.6814

0.204 0.9543156 -5.14575 -958.205

0.205 0.948217 -6.098522 -952.7718

0.206 0.9411721 -7.04491 -946.3875

0.207 0.9331882 -7.983968 -939.0587

0.208 0.9242734 -8.914761 -930.793

0.209 0.914437 -9.83636 -921.599

0.21 0.9036892 -10.74785 -911.4861

0.211 0.8920409 -11.64831 -900.4648

0.212 0.879504 -12.53686 -888.5464

0.213 0.8660914 -13.4126 -875.743

0.214 0.8518168 -14.27467 -862.0676

0.215 0.8366946 -15.1222 -847.5344

0.216 0.8207402 -15.95436 -832.1579

0.217 0.8039699 -16.77031 -815.9539

0.218 0.7864006 -17.56925 -798.9388

0.219 0.7680502 -18.35038 -781.1298

0.22 0.7489373 -19.11293 -762.5451

0.221 0.7290812 -19.85613 -743.2034

0.222 0.7085019 -20.57926 -723.1243

0.223 0.6872203 -21.28158 -702.3282

0.224 0.6652579 -21.96242 -680.8359

0.225 0.6426368 -22.62109 -658.6692

0.226 0.6193799 -23.25694 -635.8505

0.227 0.5955106 -23.86934 -612.4028

0.228 0.5710529 -24.45769 -588.3498

0.229 0.5460315 -25.02141 -563.7156

0.23 0.5204715 -25.55993 -538.5250.231 0.4943988 -26.07274 -512.8035

0.232 0.4678395 -26.55931 -486.577

0.233 0.4408203 -27.01918 -459.8717

0.234 0.4133684 -27.4519 -432.7145

0.235 0.3855114 -27.85703 -405.1328

0.236 0.3572772 -28.23419 -377.1542

0.237 0.3286942 -28.58299 -348.8069

0.238 0.2997911 -28.90311 -320.1193

7/21/2019 Phys273 hw3


0.239 0.2705968 -29.19423 -291.1201

0.24 0.2411408 -29.45607 -261.8386

0.241 0.2114524 -29.68838 -232.3039

0.242 0.1815615 -29.89092 -202.5459

0.243 0.1514979 -30.06352 -172.5942

0.244 0.121292 -30.20599 -142.4789

0.245 0.0909737 -30.31822 -112.2302

0.246 0.0605736 -30.4001 -81.87826

0.247 0.0301221 -30.45156 -51.4536

0.248 -0.00035 -30.47254 -20.9866

0.249 -0.030814 -30.463059.4922357

0.25 -0.061237 -30.4231 39.952439

0.251 -0.091589 -30.3527370.363551

0.252 -0.121841 -30.25204100.69518

0.253 -0.151963 -30.12112130.91701

0.254 -0.181923 -29.96012160.99885

0.255 -0.211692 -29.76921190.91068

0.256 -0.24124 -29.54859 220.62262

0.257 -0.270539 -29.29849250.10502

0.258 -0.299558 -29.01916279.32848

0.259 -0.328269 -28.71089308.26383

0.26 -0.356643 -28.37401336.88225

0.261 -0.384652 -28.00886365.15519

0.262 -0.412268 -27.6158 393.0545

0.263 -0.439463 -27.19525420.55239

0.264 -0.466211 -26.74763447.62147

0.265 -0.492484 -26.27339474.23481

0.266 -0.518257 -25.77303500.36593

0.267 -0.543504 -25.24704525.98885

0.268 -0.5682 -24.69596551.07809

0.269 -0.59232 -24.12035 575.60873

0.27 -0.615841 -23.52079599.55639

0.271 -0.638739 -22.8979 622.89732

0.272 -0.660991 -22.25229645.60835

0.273 -0.682576 -21.58462667.66695

0.274 -0.703471 -20.89557689.05128

0.275 -0.723657 -20.18583709.74013

0.276 -0.743113 -19.45612729.71304

0.277 -0.761821 -18.70717748.95024

0.278 -0.77976 -17.93973 767.432720.279 -0.796915 -17.15459785.14223

0.28 -0.813267 -16.35253802.06128

0.281 -0.828802 -15.53436818.17319

0.282 -0.843503 -14.7009 833.4621

0.283 -0.857356 -13.85298847.91295

0.284 -0.870347 -12.99147861.51156

0.285 -0.882464 -12.11723874.24458

0.286 -0.893695 -11.23113886.09953

7/21/2019 Phys273 hw3


0.287 -0.90403 -10.33406 897.06483

0.288 -0.913456 -9.426932907.12977

0.289 -0.921967 -8.510648916.28457

0.29 -0.929553 -7.586127924.52033

0.291 -0.936208 -6.654298 931.8291

0.292 -0.941924 -5.716094938.20385

0.293 -0.946696 -4.772456943.63848

0.294 -0.95052 -3.824328 948.12785

0.295 -0.953393 -2.87266 951.66774

0.296 -0.955312 -1.918405 954.2549

0.297 -0.956274 -0.962518955.88702

0.298 -0.95628 -0.005956 956.56278

0.299 -0.95533 0.9503261956.28176

0.3 -0.953424 1.9053707955.04455

0.301 -0.950566 2.8582234952.85267

0.302 -0.946758 3.8079319949.70859

0.303 -0.942005 4.7535477945.61575

0.304 -0.93631 5.6941262940.57851

0.305 -0.929682 6.6287284934.60221

0.306 -0.922125 7.5564215 927.6931

0.307 -0.913649 8.4762799919.85837

0.308 -0.904262 9.387386911.10614

0.309 -0.893973 10.288831901.44542

0.31 -0.882793 11.179718890.88615

0.311 -0.870734 12.059157879.43917

0.312 -0.857808 12.926273867.11618

0.313 -0.844027 13.780203853.92977

0.314 -0.829407 14.620096839.89339

0.315 -0.813962 15.445117825.02133

0.316 -0.797708 16.254446 809.3287

0.317 -0.780661 17.047278792.83146

0.318 -0.762838 17.822824775.54633

0.319 -0.744257 18.580315757.49085

0.32 -0.724938 19.318998738.68328

0.321 -0.7049 20.038141 719.14268

0.322 -0.684163 20.73703 698.8888

0.323 -0.662748 21.414972 677.9421

0.324 -0.640677 22.071295656.32375

0.325 -0.617972 22.705351634.05555

0.326 -0.594655 23.316511611.159990.327 -0.570751 23.904171587.66013

0.328 -0.546283 24.467751563.57966

0.329 -0.521276 25.006694538.94283

0.33 -0.495756 25.520468513.77446

0.331 -0.469747 26.008568488.09986

0.332 -0.443277 26.470513461.94486

0.333 -0.416371 26.905848435.33576

0.334 -0.389057 27.314148408.29931

7/21/2019 Phys273 hw3


0.335 -0.361362 27.69501380.86268

0.336 -0.333314 28.048064353.05341

0.337 -0.304941 28.372963324.89943

0.338 -0.276271 28.669392296.42899

0.339 -0.247334 28.937063267.67067

0.34 -0.218159 29.175716238.65331

0.341 -0.188774 29.385122 209.406

0.342 -0.159209 29.56508179.95805

0.343 -0.129493 29.715419150.33898

0.344 -0.099657 29.835998120.57846

0.345 -0.06973 29.92670490.706292

0.346 -0.039743 29.98745660.752376

0.347 -0.009725 30.01820330.746694

0.348 0.0202942 30.0189220.7192664

0.349 0.0502838 29.989623 -29.29987

0.35 0.0802142 29.930342 -59.2807

0.351 0.1100553 29.841149 -89.19326

0.352 0.1397774 29.722141 -119.0077

0.353 0.1693509 29.573447 -148.6941

0.354 0.1987461 29.395224 -178.2229

0.355 0.2279338 29.187659 -207.5647

0.356 0.2568847 28.950969 -236.6901

0.357 0.2855701 28.685399 -265.57

0.358 0.3139614 28.391223 -294.1758

0.359 0.3420301 28.068745 -322.4787

0.36 0.3697484 27.718294 -350.4507

0.361 0.3970886 27.34023 -378.0639

0.362 0.4240236 26.934939 -405.2907

0.363 0.4505264 26.502835 -432.1041

0.364 0.4765708 26.044358 -458.4773

0.365 0.5021307 25.559974 -484.3841

0.366 0.5271809 25.050175 -509.7987

0.367 0.5516964 24.515479 -534.696

0.368 0.5756528 23.956428 -559.051

0.369 0.5990264 23.373588 -582.8398

0.37 0.621794 22.76755 -606.0385

0.371 0.6439329 22.138926 -628.6242

0.372 0.6654212 21.488351 -650.5746

0.373 0.6862377 20.816483 -671.8677

0.374 0.7063617 20.124001 -692.48270.375 0.7257733 19.411602 -712.3989

0.376 0.7444533 18.680005 -731.5968

0.377 0.7623833 17.929948 -750.0573

0.378 0.7795455 17.162185 -767.7623

0.379 0.795923 16.377491 -784.6941

0.38 0.8114996 15.576655 -800.8362

0.381 0.8262601 14.760482 -816.1726

0.382 0.8401899 13.929794 -830.6882

7/21/2019 Phys273 hw3


0.383 0.8532753 13.085425 -844.3688

0.384 0.8655035 12.228224 -857.2009

0.385 0.8768626 11.359052 -869.172

0.386 0.8873414 10.478782 -880.2703

0.387 0.8969297 9.588297 -890.485

0.388 0.9056182 8.6884909 -899.8062

0.389 0.9133984 7.7802662 -908.2247

0.39 0.920263 6.8645337 -915.7325

0.391 0.9262052 5.9422113 -922.3223

0.392 0.9312194 5.0142235 -927.9878

0.393 0.9353009 4.0814998 -932.7237

0.394 0.9384459 3.1449745 -936.5253

0.395 0.9406515 2.2055851 -939.3894

0.396 0.9419157 1.264272 -941.3131

0.397 0.9422377 0.321977 -942.295

0.398 0.9416173 -0.620357 -942.3343

0.399 0.9400556 -1.561789 -941.4312

0.40.9375542 -2.501376 -939.587

0.401 0.934116 -3.438179 -936.8038

0.402 0.9297447 -4.371264 -933.0845

0.403 0.924445 -5.299697 -928.4334

0.404 0.9182225 -6.222552 -922.8551

0.405 0.9110836 -7.138908 -916.3557

0.406 0.9030357 -8.04785 -908.9419

0.407 0.8940873 -8.948471 -900.6214

0.408 0.8842474 -9.839874 -891.4027

0.409 0.8735262 -10.72117 -881.2954

0.41 0.8619347 -11.59148 -870.3099

0.411 0.8494848 -12.44994 -858.4573

0.412 0.8361891 -13.29569 -845.7498

0.413 0.8220612 -14.12789 -832.2004

0.414 0.8071155 -14.94571 -817.8229

0.415 0.7913672 -15.74834 -802.6318

0.416 0.7748322 -16.53498 -786.6427

0.417 0.7575273 -17.30486 -769.8717

0.418 0.7394701 -18.05719 -752.3359

0.419 0.7206789 -18.79124 -734.053

0.42 0.7011726 -19.50629 -715.0415

0.421 0.680971 -20.20161 -695.3207

0.422 0.6600945 -20.87652 -674.91050.423 0.6385641 -21.53035 -653.8315

0.424 0.6164017 -22.16245 -632.105

0.425 0.5936295 -22.77221 -609.7529

0.426 0.5702705 -23.359 -586.7978

0.427 0.5463482 -23.92227 -563.2628

0.428 0.5218868 -24.46144 -539.1715

0.429 0.4969108 -24.97599 -514.5483

0.43 0.4714454 -25.46541 -489.418

7/21/2019 Phys273 hw3


0.431 0.4455162 -25.92921 -463.8058

0.432 0.4191492 -26.36695 -437.7374

0.433 0.392371 -26.77819 -411.2391

0.434 0.3652085 -27.16253 -384.3376

0.435 0.3376889 -27.51959 -357.0597

0.436 0.3098399 -27.84902 -329.433

0.437 0.2816894 -28.1505 -301.4852

0.438 0.2532656 -28.42375 -273.2442

0.439 0.2245972 -28.66849 -244.7385

0.44 0.1957127 -28.88448 -215.9966

0.441 0.1666411 -29.07153 -187.0473

0.442 0.1374117 -29.22945 -157.9197

0.443 0.1080536 -29.35809 -128.6429

0.444 0.0785963 -29.45734 -99.24618

0.445 0.0490692 -29.5271 -69.75906

0.446 0.0195019 -29.56731 -40.21104

0.447 -0.010076 -29.57794 -10.63167

0.448 -0.039635 -29.5589918.949464

0.449 -0.069146 -29.51049 48.50277

0.45 -0.098578 -29.4324977.998708

0.451 -0.127903 -29.32508 107.4078

0.452 -0.157092 -29.18838136.70066

0.453 -0.186114 -29.02253165.84803

0.454 -0.214942 -28.82771194.82081

0.455 -0.243546 -28.60412223.59007

0.456 -0.271898 -28.352 252.12712

0.457 -0.299969 -28.07159280.40347

0.458 -0.327733 -27.7632 308.39095

0.459 -0.35516 -27.42714 336.06163

0.46 -0.382224 -27.06375363.38795

0.461 -0.408897 -26.67341390.34268

0.462 -0.435153 -26.25651416.89899

0.463 -0.460967 -25.81348443.03043

0.464 -0.486312 -25.34477 468.711

0.465 -0.511163 -24.85085493.91515

0.466 -0.535495 -24.33224518.61783

0.467 -0.559284 -23.78944542.79448

0.468 -0.582507 -23.22302566.42108

0.469 -0.605141 -22.63355589.47418

0.47 -0.627162 -22.02161611.930880.471 -0.64855 -21.38785 633.76892

0.472 -0.669283 -20.73288654.96663

0.473 -0.689341 -20.05738675.50302

0.474 -0.708703 -19.36202695.35774

0.475 -0.72735 -18.64751 714.51115

0.476 -0.745265 -17.91456732.94431

0.477 -0.762429 -17.16392750.63899

0.478 -0.778825 -16.39635767.57772

7/21/2019 Phys273 hw3


0.479 -0.794437 -15.6126 783.74379

0.48 -0.809251 -14.81348799.12127

0.481 -0.823251 -13.99979813.69502

0.482 -0.836423 -13.17234827.45069

0.483 -0.848755 -12.33196840.37479

0.484 -0.860235 -11.47951852.45464

0.485 -0.87085 -10.61583 863.67841

0.486 -0.880592 -9.741792874.03513

0.487 -0.88945 -8.858277 883.51472

0.488 -0.897417 -7.96617 892.10794

0.489 -0.904483 -7.066363899.80648

0.49 -0.910643 -6.15976 906.6029

0.491 -0.91589 -5.247269 912.49068

0.492 -0.92022 -4.329805 917.4642

0.493 -0.923628 -3.408286921.51876

0.494 -0.926112 -2.483636 924.6506

0.495 -0.927669 -1.556779926.85684

0.496 -0.928297 -0.628644928.13556

0.497 -0.927997 0.2998423928.48576

0.498 -0.92677 1.2277496927.90737

0.499 -0.924615 2.1541509926.40125

0.5 -0.921537 3.0781201923.96918

0.501 -0.917539 3.9987339920.61387

0.502 -0.912623 4.9150729916.33895

0.503 -0.906797 5.8262219911.14898

0.504 -0.900066 6.7312713905.04941

0.505 -0.892437 7.6293179898.04662

0.506 -0.883917 8.5194658890.14789

0.507 -0.874516 9.4008272881.36138

0.508 -0.864244 10.272523871.69615

0.509 -0.85311 11.133685861.16211

0.51 -0.841127 11.983456849.77008

0.511 -0.828306 12.820987837.53169

0.512 -0.81466 13.645447824.45945

0.513 -0.800204 14.456013810.56666

0.514 -0.784952 15.251881795.86748

0.515 -0.76892 16.032258780.37684

0.516 -0.752124 16.796368764.11047

0.517 -0.73458 17.543453747.08487

0.518 -0.716308 18.27277729.317290.519 -0.697324 18.983596710.82572

0.52 -0.677649 19.675225691.62888

0.521 -0.657302 20.346971671.74616

0.522 -0.636304 20.998169651.19767

0.523 -0.614675 21.628173630.00414

0.524 -0.592439 22.23636608.18697

0.525 -0.569617 22.822128585.76815

0.526 -0.546232 23.384898562.77029

7/21/2019 Phys273 hw3


7/21/2019 Phys273 hw3


0.575 0.7284024 17.893748 -716.0916

0.576 0.7455624 17.159978 -733.7705

0.577 0.7619716 16.409267 -750.7104

0.578 0.777614 15.642373 -766.8944

0.579 0.7924741 14.860066 -782.3067

0.58 0.8065372 14.063134 -796.9321

0.581 0.8197896 13.252378 -810.7561

0.582 0.8322182 12.428613 -823.7653

0.583 0.8438109 11.592666 -835.9468

0.584 0.8545562 10.745377 -847.2887

0.585 0.8644438 9.8875976 -857.7798

0.586 0.873464 9.0201874 -867.4101

0.587 0.881608 8.1440174 -876.1701

0.588 0.888868 7.2599661 -884.0512

0.589 0.8952369 6.3689201 -891.046

0.59 0.9007087 5.4717725 -897.1476

0.591 0.9052781 4.5694223 -902.3502

0.592 0.9089409 3.6627734 -906.6489

0.593 0.9116936 2.7527336 -910.0397

0.594 0.9135338 1.8402142 -912.5194

0.595 0.91446 0.9261283 -914.0859

0.596 0.9144714 0.0113905 -914.7378

0.597 0.9135683 -0.903084 -914.4748

0.598 0.9117519 -1.816382 -913.2973

0.599 0.9090243 -2.727589 -911.207

0.60.9053885 -3.635795 -908.206

0.601 0.9008484 -4.540092 -904.2978

0.602 0.8954088 -5.439579 -899.4864

0.603 0.8890755 -6.333356 -893.777

0.604 0.881855 -7.220531 -887.1755

0.605 0.8737547 -8.10022 -879.6888

0.606 0.8647832 -8.971545 -871.3247

0.607 0.8549496 -9.833636 -862.0917

0.608 0.8442639 -10.68564 -851.9995

0.609 0.8327372 -11.52669 -841.0582

0.61 0.8203812 -12.35597 -829.2792

0.611 0.8072086 -13.17265 -816.6745

0.612 0.7932327 -13.9759 -803.2568

0.613 0.7784677 -14.76494 -789.0399

0.614 0.7629288 -15.53898 -774.03830.615 0.7466315 -16.29725 -758.2671

0.616 0.7295925 -17.03899 -741.7423

0.617 0.7118291 -17.76347 -724.4808

0.618 0.6933591 -18.46997 -706.5

0.619 0.6742013 -19.15779 -687.8181

0.62 0.654375 -19.82625 -668.454

0.621 0.6339004 -20.47467 -648.4272

0.622 0.6127979 -21.10243 -627.758

7/21/2019 Phys273 hw3


0.623 0.591089 -21.7089 -606.4672

0.624 0.5687956 -22.29347 -584.5764

0.625 0.54594 -22.85558 -562.1075

0.626 0.5225453 -23.39466 -539.0833

0.627 0.4986351 -23.91019 -515.5269

0.628 0.4742335 -24.40165 -491.4621

0.629 0.4493649 -24.86857 -466.913

0.63 0.4240544 -25.31047 -441.9043

0.631 0.3983275 -25.72693 -416.4613

0.632 0.37221 -26.11754 -390.6094

0.633 0.3457281 -26.48192 -364.3747

0.634 0.3189084 -26.8197 -337.7835

0.635 0.2917778 -27.13056 -310.8624

0.636 0.2643636 -27.4142 -283.6386

0.637 0.2366932 -27.67034 -256.1393

0.638 0.2087945 -27.89873 -228.3921

0.639 0.1806954 -28.09916 -200.4249

0.64 0.1524239 -28.27142 -172.2656

0.641 0.1240086 -28.41537 -143.9425

0.642 0.0954777 -28.53085 -115.484

0.643 0.06686 -28.61777 -86.91846

0.644 0.0381839 -28.67604 -58.27462

0.645 0.0094783 -28.70562 -29.5811

0.646 -0.019228 -28.70649 -0.866599

0.647 -0.047907 -28.6786527.840151

0.648 -0.076529 -28.6221456.510449

0.649 -0.105066 -28.5370285.115636

0.65 -0.133489 -28.4234 113.62712

0.651 -0.161771 -28.28138142.01643

0.652 -0.189882 -28.11113170.25521

0.653 -0.217795 -27.91281198.31526

0.654 -0.245481 -27.68664226.16857

0.655 -0.272914 -27.43285253.78736

0.656 -0.300066 -27.15171281.14408

0.657 -0.326909 -26.8435 308.21145

0.658 -0.353418 -26.50854334.96248

0.659 -0.379565 -26.14717361.37053

0.66 -0.405325 -25.75976387.40928

0.661 -0.430672 -25.3467 413.05282

0.662 -0.45558 -24.90843 438.275610.663 -0.480025 -24.44538463.05255

0.664 -0.503983 -23.95802487.35901

0.665 -0.52743 -23.44685 511.17082

0.666 -0.550343 -22.91238534.46431

0.667 -0.572698 -22.35516557.21635

0.668 -0.594474 -21.77576579.40435

0.669 -0.615648 -21.17475601.00629

0.67 -0.636201 -20.55275622.00074

7/21/2019 Phys273 hw3


0.671 -0.656111 -19.91039 642.3669

0.672 -0.67536 -19.2483 662.08457

0.673 -0.693927 -18.56717681.13425

0.674 -0.711795 -17.86767699.49708

0.675 -0.728945 -17.15052 717.1549

0.676 -0.745362 -16.41643734.09027

0.677 -0.761028 -15.66614750.28647

0.678 -0.775928 -14.90041765.72752

0.679 -0.790048 -14.12001780.39821

0.68 -0.803374 -13.32573794.28411

0.681 -0.815892 -12.51836807.37155

0.682 -0.827591 -11.69871 819.6477

0.683 -0.838459 -10.86761831.10051

0.684 -0.848484 -10.02589841.71879

0.685 -0.857659 -9.174398851.49216

0.686 -0.865973 -8.313987860.41112

0.687 -0.873418 -7.44552 868.46698

0.688 -0.879988 -6.569868875.65196

0.689 -0.885676 -5.687909881.95913

0.69 -0.890477 -4.800527887.38245

0.691 -0.894385 -3.90861 891.91677

0.692 -0.897398 -3.013052 895.5578

0.693 -0.899513 -2.11475 898.30218

0.694 -0.900728 -1.214602900.14744

0.695 -0.901041 -0.31351 901.092

0.696 -0.900454 0.5876247901.13519

0.697 -0.898966 1.487902900.27722

0.698 -0.896579 2.3864212898.51923

0.699 -0.893297 3.2822845895.86326

0.7 -0.889122 4.1745967892.31221

0.701 -0.88406 5.0624666887.86992

0.702 -0.878115 5.9450077 882.5411

0.703 -0.871293 6.821339876.33133

0.704 -0.863603 7.6905861869.24709

0.705 -0.855051 8.5518818861.29573

0.706 -0.845647 9.4043673852.48546

0.707 -0.835399 10.247193842.82534

0.708 -0.82432 11.079518 832.3253

0.709 -0.812419 11.900514820.99609

0.71 -0.79971 12.709363808.849280.711 -0.786205 13.505261795.89726

0.712 -0.771917 14.287414782.15323

0.713 -0.756862 15.055045767.63117

0.714 -0.741055 15.807391752.34583

0.715 -0.724511 16.543704736.31274

0.716 -0.707248 17.263252719.54814

0.717 -0.689283 17.965321702.06903

0.718 -0.670633 18.649214683.89308

7/21/2019 Phys273 hw3


0.719 -0.651319 19.314252 665.0387

0.72 -0.631359 19.959777645.52494

0.721 -0.610774 20.585149 625.3715

0.722 -0.589585 21.189748604.59874

0.723 -0.567812 21.772975583.22762

0.724 -0.545477 22.334255561.27967

0.725 -0.522604 22.873032538.77703

0.726 -0.499216 23.388774515.74237

0.727 -0.475335 23.880973492.19887

0.728 -0.450985 24.349143468.17024

0.729 -0.426193 24.792824443.68064

0.73 -0.400981 25.211579418.75472

0.731 -0.375376 25.604996393.41751

0.732 -0.349403 25.972691367.69449

0.733 -0.323089 26.314302341.61149

0.734 -0.296459 26.629497 315.1947

0.735 -0.269542 26.917968288.47065

0.736 -0.242362 27.179434261.46614

0.737 -0.214948 27.413642234.20827

0.738 -0.187328 27.620366206.72436

0.739 -0.159529 27.799408179.04198

0.74 -0.131578 27.950597151.18886

0.741 -0.103504 28.07379 123.1929

0.742 -0.075335 28.16887295.082155

0.743 -0.0471 28.235757 66.884758

0.744 -0.018825 28.27438638.628935

0.745 0.0094595 28.284729 10.34296

0.746 0.0377262 28.266784 -17.94487

0.747 0.0659468 28.220578 -46.20627

0.748 0.094093 28.146165 -74.41299

0.749 0.1221366 28.043628 -102.5368

0.75 0.1500497 27.913078 -130.5497

0.751 0.1778043 27.754655 -158.4236

0.752 0.2053729 27.568524 -186.1307

0.753 0.2327277 27.354881 -213.6434

0.754 0.2598417 27.113946 -240.9342

0.755 0.2866877 26.84597 -267.9759

0.756 0.3132389 26.551229 -294.7415

0.757 0.3394689 26.230025 -321.2043

0.758 0.3653516 25.882687 -347.33790.759 0.3908612 25.50957 -373.1164

0.76 0.4159722 25.111056 -398.514

0.761 0.4406598 24.687551 -423.5055

0.762 0.4648993 24.239485 -448.066

0.763 0.4886666 23.767314 -472.1711

0.764 0.5119381 23.271517 -495.7968

0.765 0.5346907 22.752597 -518.9196

0.766 0.5569018 22.211081 -541.5165

7/21/2019 Phys273 hw3


0.767 0.5785493 21.647516 -563.5651

0.768 0.5996118 21.062472 -585.0435

0.769 0.6200683 20.456542 -605.9305

0.77 0.6398986 19.830336 -626.2053

0.771 0.6590831 19.184489 -645.8477

0.772 0.6776028 18.51965 -664.8385

0.773 0.6954393 17.836492 -683.1587

0.774 0.712575 17.135701 -700.7902

0.775 0.728993 16.417986 -717.7157

0.776 0.744677 15.684067 -733.9184

0.777 0.7596117 14.934685 -749.3822

0.778 0.7737823 14.170593 -764.0921

0.779 0.7871749 13.392559 -778.0335

0.78 0.7997762 12.601367 -791.1926

0.781 0.811574 11.79781 -803.5566

0.782 0.8225567 10.982697 -815.1134

0.783 0.8327136 10.156845 -825.8515

0.784 0.8420347 9.3210847 -835.7606

0.785 0.8505109 8.4762537 -844.831

0.786 0.8581341 7.6231999 -853.0538

0.787 0.8648969 6.7627788 -860.4211

0.788 0.8707928 5.8958531 -866.9257

0.789 0.875816 5.0232915 -872.5615

0.79 0.879962 4.1459685 -877.323

0.791 0.8832268 3.2647627 -881.2058

0.792 0.8856073 2.3805565 -884.2062

0.793 0.8871016 1.494235 -886.3215

0.794 0.8877083 0.6066852 -887.5498

0.795 0.887427 -0.281205 -887.8903

0.796 0.8862585 -1.168548 -887.3427

0.797 0.884204 -2.054456 -885.9079

0.798 0.881266 -2.938043 -883.5877

0.799 0.8774476 -3.818428 -880.3846

0.8 0.8727528 -4.69473 -876.302

0.801 0.8671868 -5.566074 -871.3444

0.802 0.8607552 -6.431591 -865.5169

0.803 0.8534648 -7.290417 -858.8257

0.804 0.8453231 -8.141695 -851.2776

0.805 0.8363385 -8.984575 -842.8806

0.806 0.8265203 -9.818218 -833.64310.807 0.8158785 -10.64179 -823.5748

0.808 0.804424 -11.45448 -812.6859

0.809 0.7921685 -12.25547 -800.9877

0.81 0.7791246 -13.04396 -788.4919

0.811 0.7653054 -13.81917 -775.2114

0.812 0.7507251 -14.58033 -761.1597

0.813 0.7353984 -15.32668 -746.351

0.814 0.7193409 -16.05748 -730.8004

7/21/2019 Phys273 hw3


0.815 0.7025689 -16.772 -714.5237

0.816 0.6850994 -17.46954 -697.5373

0.817 0.66695 -18.1494 -679.8585

0.818 0.6481391 -18.81091 -661.5051

0.819 0.6286857 -19.4534 -642.4958

0.82 0.6086094 -20.07625 -622.8496

0.821 0.5879306 -20.67884 -602.5865

0.822 0.56667 -21.26056 -581.7269

0.823 0.5448491 -21.82086 -560.2918

0.824 0.52249 -22.35916 -538.3029

0.825 0.499615 -22.87494 -515.7822

0.826 0.4762474 -23.36769 -492.7526

0.827 0.4524104 -23.83693 -469.237

0.828 0.4281282 -24.28219 -445.2593

0.829 0.4034252 -24.70303 -420.8436

0.83 0.3783261 -25.09905 -396.0143

0.831 0.3528563 -25.46984 -370.7964

0.832 0.3270412 -25.81506 -345.2153

0.833 0.3009069 -26.13436 -319.2967

0.834 0.2744795 -26.42742 -293.0666

0.835 0.2477855 -26.69397 -266.5512

0.836 0.2208517 -26.93375 -239.7773

0.837 0.1937052 -27.14652 -212.7716

0.838 0.1663731 -27.33208 -185.5613

0.839 0.1388829 -27.49026 -158.1735

0.84 0.111262 -27.62089 -130.6358

0.841 0.0835381 -27.72387 -102.9757

0.842 0.055739 -27.79909 -75.22094

0.843 0.0278925 -27.84649 -47.39929

0.844 2.65!-005 -27.86603 -19.53858

0.845 -0.027831 -27.8577 8.3333132

0.846 -0.055653 -27.8215136.188508

0.847 -0.08341 -27.75751 63.999159

0.848 -0.111076 -27.6657791.737467

0.849 -0.138622 -27.54639119.37572

0.85 -0.166022 -27.39951 146.8863

0.851 -0.193247 -27.22527174.24174

0.852 -0.220271 -27.02385201.41473

0.853 -0.247066 -26.79547228.37816

0.854 -0.273607 -26.54037255.105120.855 -0.299866 -26.2588 281.56896

0.856 -0.325817 -25.95106307.74329

0.857 -0.351434 -25.61745333.60202

0.858 -0.376692 -25.25833359.11939

0.859 -0.401567 -24.87406384.26999

0.86 -0.426032 -24.46504409.02878

0.861 -0.450063 -24.03166 433.3711

0.862 -0.473638 -23.57439457.27276

7/21/2019 Phys273 hw3


0.863 -0.496731 -23.09368480.70997

0.864 -0.519321 -22.59002503.65944

0.865 -0.541385 -22.06392526.09836

0.866 -0.562901 -21.51592548.00446

0.867 -0.583848 -20.94656569.35597

0.868 -0.604204 -20.35643590.13173

0.869 -0.62395 -19.74612 610.31112

0.87 -0.643067 -19.11625629.87415

0.871 -0.661534 -18.46745648.80144

0.872 -0.679334 -17.80037667.07424

0.873 -0.69645 -17.1157 684.67449

0.874 -0.712864 -16.41411701.58479

0.875 -0.728561 -15.69632717.78842

0.876 -0.743524 -14.96305733.26941

0.877 -0.757739 -14.21504748.01248

0.878 -0.771192 -13.45304762.00312

0.879 -0.783869 -12.67781775.22756

0.88 -0.79576 -11.89014 787.6728

0.881 -0.80685 -11.09081 799.32664

0.882 -0.817131 -10.28063810.17765

0.883 -0.826591 -9.460419820.21523

0.884 -0.835222 -8.630989829.42958

0.885 -0.843016 -7.793177837.81175

0.886 -0.849963 -6.947824845.35358

0.887 -0.856059 -6.095776 852.0478

0.888 -0.861297 -5.237888857.88796

0.889 -0.865672 -4.37502 862.86848

0.89 -0.86918 -3.508035 866.98464

0.891 -0.871818 -2.637802870.23258

0.892 -0.873583 -1.765193872.60931

0.893 -0.874474 -0.89108 874.11272

0.894 -0.874491 -0.016339874.74157

0.895 -0.873632 0.8581568874.49548

0.896 -0.871901 1.7315318873.37498

0.897 -0.869298 2.6029132871.38143

0.898 -0.865827 3.4714303868.51711

0.899 -0.86149 4.3362154864.78512

0.9 -0.856294 5.1964049860.18947

0.901 -0.850243 6.0511399854.73501

0.902 -0.843343 6.8995673848.427450.903 -0.835602 7.7408407841.27335

0.904 -0.827028 8.5741208833.28013

0.905 -0.81763 9.3985769824.45602

0.906 -0.807416 10.213387814.81011

0.907 -0.796399 11.017739804.35228

0.908 -0.784588 11.810832793.09324

0.909 -0.771996 12.591877781.04448

0.91 -0.758636 13.360095768.21829

7/21/2019 Phys273 hw3


0.911 -0.744521 14.114723754.62772

0.912 -0.729666 14.85501740.28661

0.913 -0.714086 15.580219725.20952

0.914 -0.697796 16.289631709.41174

0.915 -0.680814 16.98254692.90928

0.916 -0.663155 17.658259675.71887

0.917 -0.644839 18.316117657.85789

0.918 -0.625884 18.955461639.34442

0.919 -0.606308 19.575658620.19715

0.92 -0.586132 20.176094600.43544

0.921 -0.565376 20.756173580.07921

0.922 -0.544061 21.315322559.14902

0.923 -0.522208 21.852988537.66595

0.924 -0.499839 22.36864515.65166

0.925 -0.476977 22.861768493.12833

0.926 -0.453645 23.331887470.11862

0.927 -0.429867 23.778532 446.6457

0.928 -0.405665 24.201266422.73317

0.929 -0.381066 24.599671398.40509

0.93 -0.356092 24.973357373.68589

0.931 -0.33077 25.321957348.60043

0.932 -0.305125 25.645131323.17389

0.933 -0.279183 25.942563297.43181

0.934 -0.252969 26.213963271.40002

0.935 -0.22651 26.459067245.10464

0.936 -0.199832 26.677639218.57204

0.937 -0.172963 26.869468191.82883

0.938 -0.145928 27.03437164.90181

0.939 -0.118756 27.172188137.81797

0.94 -0.091473 27.282792110.60444

0.941 -0.064107 27.36608183.288462

0.942 -0.036685 27.42197855.897395

0.943 -0.009235 27.45043728.458647

0.944 0.0182166 27.4514370.9996727

0.945 0.0456416 27.424985 -26.45206

0.946 0.0730127 27.371115 -53.86911

0.947 0.1003026 27.289891 -81.22407

0.948 0.127484 27.181402 -108.4896

0.949 0.1545298 27.045763 -135.6384

0.95 0.1814129 26.88312 -162.64350.951 0.2081066 26.693642 -189.4778

0.952 0.2345841 26.477527 -216.1146

0.953 0.2608191 26.235 -242.5273

0.954 0.2867854 25.96631 -268.6896

0.955 0.3124571 25.671735 -294.5753

0.956 0.3378087 25.351576 -320.1586

0.957 0.3628149 25.006162 -345.4142

0.958 0.3874507 24.635846 -370.3167

7/21/2019 Phys273 hw3


0.959 0.4116917 24.241004 -394.8415

0.96 0.4355138 23.82204 -418.964

0.961 0.4588931 23.37938 -442.6604

0.962 0.4818066 22.913473 -465.9069

0.963 0.5042314 22.424792 -488.6806

0.964 0.5261452 21.913833 -510.9588

0.965 0.5475263 21.381114 -532.7194

0.966 0.5683535 20.827173 -553.9407

0.967 0.5886061 20.252572 -574.6017

0.968 0.608264 19.65789 -594.6819

0.969 0.6273077 19.043728 -614.1613

0.97 0.6457184 18.410708 -633.0208

0.971 0.6634779 17.759466 -651.2416

0.972 0.6805685 17.09066 -668.8057

0.973 0.6969735 16.404964 -685.6957

0.974 0.7126766 15.703069 -701.895

0.975 0.7276623 14.985682 -717.3875

0.976 0.7419158 14.253524 -732.158

0.977 0.7554231 13.507332 -746.1918

0.978 0.768171 12.747857 -759.4753

0.979 0.7801468 11.975862 -771.9953

0.98 0.791339 11.192122 -783.7396

0.981 0.8017364 10.397425 -794.6966

0.982 0.8113289 9.5925697 -804.8556

0.983 0.8201073 8.778363 -814.2067

0.984 0.8280629 7.9556222 -822.7408

0.985 0.8351881 7.1251726 -830.4496

0.986 0.841476 6.2878469 -837.3257

0.987 0.8469204 5.4444846 -843.3623

0.988 0.8515164 4.5959308 -848.5538

0.989 0.8552594 3.7430357 -852.8951

0.99 0.8581461 2.8866534 -856.3823

0.991 0.8601737 2.0276413 -859.0121

0.992 0.8613406 1.1668593 -860.782

0.993 0.8616457 0.3051687 -861.6906

0.994 0.8610892 -0.556569 -861.7373

0.995 0.8596717 -1.417491 -860.9222

0.996 0.8573949 -2.276737 -859.2464

0.997 0.8542615 -3.133449 -856.7119

0.998 0.8502747 -3.986771 -853.32140.999 0.8454389 -4.835849 -849.0787

1 0.839759 -5.679837 -843.9881

7/21/2019 Phys273 hw3


-999

sition

Position

7/21/2019 Phys273 hw3


7/21/2019 Phys273 hw3


t x v a

0 0.1745 0 -1.701434 0.00124

0.002 0.1744932 -0.003403 -1.701434

0.004 0.1744796 -0.006805 -1.701067

0.006 0.1744592 -0.010206 -1.700635

0.008 0.174432 -0.013607 -1.700136

0.01 0.1743979 -0.017006 -1.699573

0.012 0.1743571 -0.020404 -1.698943

0.014 0.1743095 -0.0238 -1.698248

0.016 0.1742551 -0.027195 -1.697488

0.018 0.174194 -0.030588 -1.696663

0.02 0.174126 -0.03398 -1.695772

0.022 0.1740513 -0.03737 -1.694815

0.024 0.1739698 -0.040757 -1.693794

0.026 0.1738815 -0.044143 -1.692707

0.028 0.1737864 -0.047526 -1.691555

0.03 0.1736846 -0.050906 -1.690338

0.032 0.173576 -0.054284 -1.689056

0.034 0.1734607 -0.05766 -1.687708

0.036 0.1733387 -0.061032 -1.686296

0.038 0.1732099 -0.064402 -1.684819

0.04 0.1730743 -0.067769 -1.683277

0.042 0.1729321 -0.071132 -1.681671

0.044 0.1727831 -0.074492 -1.679999

0.046 0.1726274 -0.077849 -1.678264

0.048 0.172465 -0.081201 -1.676463

0.05 0.1722959 -0.084551 -1.674598

0.052 0.1721201 -0.087896 -1.672669

0.054 0.1719376 -0.091237 -1.670675

0.056 0.1717485 -0.094575 -1.668618

0.058 0.1715526 -0.097908 -1.666496

0.06 0.1713502 -0.101236 -1.66431

0.062 0.171141 -0.10456 -1.66206

0.064 0.1709253 -0.10788 -1.659746

0.066 0.1707029 -0.111195 -1.657368

0.068 0.1704739 -0.114504 -1.654927

0.07 0.1702383 -0.117809 -1.652422

0.072 0.169996 -0.121109 -1.649854

0.074 0.1697472 -0.124403 -1.647222

0.076 0.1694919 -0.127692 -1.6445270.078 0.1692299 -0.130976 -1.641769

0.08 0.1689614 -0.134254 -1.638948

0.082 0.1686863 -0.137526 -1.636063

0.084 0.1684048 -0.140792 -1.633116

0.086 0.1681167 -0.144052 -1.630107

0.088 0.167822 -0.147307 -1.627034

0.09 0.1675209 -0.150554 -1.6239

0.092 0.1672133 -0.153796 -1.620703

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

0.2

p

7/21/2019 Phys273 hw3


0.094 0.1668993 -0.157031 -1.617443

0.096 0.1665788 -0.160259 -1.614122

0.098 0.1662518 -0.16348 -1.610738

0.1 0.1659184 -0.166695 -1.607293

0.102 0.1655786 -0.169902 -1.603786

0.104 0.1652324 -0.173103 -1.600217

0.106 0.1648798 -0.176296 -1.596587

0.108 0.1645208 -0.179482 -1.592896

0.11 0.1641555 -0.18266 -1.589144

0.112 0.1637839 -0.185831 -1.58533

0.114 0.1634059 -0.188994 -1.581456

0.116 0.1630216 -0.192149 -1.577521

0.118 0.162631 -0.195296 -1.573526

0.12 0.1622341 -0.198435 -1.56947

0.122 0.161831 -0.201565 -1.565354

0.124 0.1614216 -0.204688 -1.561177

0.126 0.161006 -0.207802 -1.556941

0.128 0.1605842 -0.210907 -1.552645

0.13 0.1601562 -0.214004 -1.54829

0.132 0.159722 -0.217091 -1.543875

0.134 0.1592817 -0.22017 -1.539401

0.136 0.1588352 -0.22324 -1.534867

0.138 0.1583826 -0.2263 -1.530275

0.14 0.1579239 -0.229352 -1.525624

0.142 0.1574591 -0.232393 -1.520915

0.144 0.1569882 -0.235426 -1.516147

0.146 0.1565113 -0.238448 -1.511321

0.148 0.1560284 -0.241461 -1.506437

0.15 0.1555395 -0.244464 -1.501495

0.152 0.1550446 -0.247457 -1.496496

0.154 0.1545437 -0.25044 -1.491439

0.156 0.1540369 -0.253413 -1.486325

0.158 0.1535241 -0.256375 -1.481154

0.16 0.1530055 -0.259327 -1.475926

0.162 0.1524809 -0.262268 -1.470641

0.164 0.1519505 -0.265199 -1.4653

0.166 0.1514143 -0.268119 -1.459902

0.168 0.1508722 -0.271028 -1.454449

0.17 0.1503244 -0.273925 -1.44894

0.172 0.1497708 -0.276812 -1.4433750.174 0.1492114 -0.279688 -1.437755

0.176 0.1486463 -0.282552 -1.432079

0.178 0.1480755 -0.285405 -1.426349

0.18 0.147499 -0.288246 -1.420564

0.182 0.1469168 -0.291075 -1.414724

0.184 0.1463291 -0.293893 -1.40883

0.186 0.1457357 -0.296699 -1.402882

0.188 0.1451367 -0.299492 -1.39688

7/21/2019 Phys273 hw3


0.19 0.1445321 -0.302274 -1.390825

0.192 0.143922 -0.305043 -1.384716

0.194 0.1433064 -0.307801 -1.378554

0.196 0.1426853 -0.310545 -1.372339

0.198 0.1420588 -0.313277 -1.366071

0.2 0.1414268 -0.315997 -1.359751

0.202 0.1407894 -0.318704 -1.353379

0.204 0.1401466 -0.321397 -1.346954

0.206 0.1394984 -0.324078 -1.340478

0.208 0.1388449 -0.326746 -1.333951

0.21 0.1381861 -0.329401 -1.327372

0.212 0.1375221 -0.332043 -1.320743

0.214 0.1368527 -0.334671 -1.314063

0.216 0.1361781 -0.337285 -1.307332

0.218 0.1354984 -0.339886 -1.300551

0.22 0.1348134 -0.342474 -1.29372

0.222 0.1341233 -0.345048 -1.28684

0.224 0.1334281 -0.347607 -1.27991

0.226 0.1327278 -0.350153 -1.272931

0.228 0.1320224 -0.352685 -1.265903

0.23 0.131312 -0.355203 -1.258827

0.232 0.1305966 -0.357706 -1.251702

0.234 0.1298762 -0.360195 -1.244529

0.236 0.1291509 -0.36267 -1.237309

0.238 0.1284206 -0.36513 -1.230041

0.24 0.1276855 -0.367575 -1.222726

0.242 0.1269455 -0.370006 -1.215364

0.244 0.1262006 -0.372422 -1.207955

0.246 0.125451 -0.374823 -1.2005

0.248 0.1246966 -0.377209 -1.192999

0.25 0.1239374 -0.37958 -1.185452

0.252 0.1231735 -0.381936 -1.17786

0.254 0.122405 -0.384276 -1.170222

0.256 0.1216318 -0.386601 -1.16254

0.258 0.120854 -0.388911 -1.154813

0.26 0.1200715 -0.391205 -1.147041

0.262 0.1192846 -0.393483 -1.139226

0.264 0.1184931 -0.395746 -1.131367

0.266 0.1176971 -0.397993 -1.123465

0.268 0.1168967 -0.400224 -1.115520.27 0.1160918 -0.402439 -1.107532

0.272 0.1152825 -0.404638 -1.099501

0.274 0.1144689 -0.406821 -1.091428

0.276 0.1136509 -0.408988 -1.083314

0.278 0.1128286 -0.411138 -1.075158

0.28 0.1120021 -0.413272 -1.066961

0.282 0.1111713 -0.415389 -1.058723

0.284 0.1103363 -0.41749 -1.050444

7/21/2019 Phys273 hw3


0.286 0.1094972 -0.419574 -1.042125

0.288 0.1086539 -0.421642 -1.033767

0.29 0.1078065 -0.423693 -1.025369

0.292 0.106955 -0.425726 -1.016931

0.294 0.1060995 -0.427743 -1.008455

0.296 0.1052401 -0.429743 -0.99994

0.298 0.1043766 -0.431726 -0.991387

0.3 0.1035092 -0.433692 -0.982796

0.302 0.1026379 -0.43564 -0.974167

0.304 0.1017628 -0.437571 -0.965501

0.306 0.1008838 -0.439485 -0.956799

0.308 0.1000011 -0.441381 -0.94806

0.31 0.0991146 -0.443259 -0.939284

0.312 0.0982243 -0.44512 -0.930473

0.314 0.0973304 -0.446963 -0.921626

0.316 0.0964328 -0.448789 -0.912744

0.318 0.0955316 -0.450597 -0.903828

0.32 0.0946268 -0.452386 -0.894876

0.322 0.0937185 -0.454158 -0.885891

0.324 0.0928067 -0.455912 -0.876872

0.326 0.0918914 -0.457648 -0.86782

0.328 0.0909727 -0.459365 -0.858734

0.33 0.0900505 -0.461064 -0.849616

0.332 0.0891251 -0.462745 -0.840466

0.334 0.0881962 -0.464408 -0.831284

0.336 0.0872641 -0.466052 -0.82207

0.338 0.0863288 -0.467678 -0.812825

0.34 0.0853902 -0.469285 -0.803549

0.342 0.0844485 -0.470873 -0.794242

0.344 0.0835036 -0.472443 -0.784906

0.346 0.0825556 -0.473994 -0.775539

0.348 0.0816045 -0.475526 -0.766144

0.35 0.0806505 -0.47704 -0.756719

0.352 0.0796934 -0.478534 -0.747266

0.354 0.0787334 -0.48001 -0.737784

0.356 0.0777704 -0.481466 -0.728275

0.358 0.0768046 -0.482904 -0.718738

0.36 0.075836 -0.484322 -0.709174

0.362 0.0748645 -0.485721 -0.699583

0.364 0.0738903 -0.487101 -0.6899660.366 0.0729134 -0.488462 -0.680323

0.368 0.0719338 -0.489803 -0.670655

0.37 0.0709516 -0.491125 -0.660961

0.372 0.0699667 -0.492428 -0.651242

0.374 0.0689793 -0.493711 -0.641499

0.376 0.0679893 -0.494974 -0.631732

0.378 0.0669969 -0.496218 -0.621942

0.38 0.066002 -0.497442 -0.612128

7/21/2019 Phys273 hw3


0.382 0.0650047 -0.498647 -0.602291

0.384 0.0640051 -0.499832 -0.592432

0.386 0.0630031 -0.500997 -0.582551

0.388 0.0619988 -0.502142 -0.572648

0.39 0.0609922 -0.503268 -0.562723

0.392 0.0599835 -0.504373 -0.552778

0.394 0.0589726 -0.505459 -0.542813

0.396 0.0579595 -0.506524 -0.532827

0.398 0.0569444 -0.50757 -0.522822

0.4 0.0559272 -0.508596 -0.512797

0.402 0.054908 -0.509601 -0.502754

0.404 0.0538868 -0.510587 -0.492692

0.406 0.0528637 -0.511552 -0.482612

0.408 0.0518387 -0.512497 -0.472514

0.41 0.0508119 -0.513422 -0.462399

0.412 0.0497832 -0.514326 -0.452268

0.414 0.0487528 -0.51521 -0.44212

0.416 0.0477207 -0.516074 -0.431955

0.418 0.0466868 -0.516918 -0.421776

0.42 0.0456513 -0.517741 -0.411581

0.422 0.0446143 -0.518544 -0.401371

0.424 0.0435756 -0.519326 -0.391147

0.426 0.0425354 -0.520088 -0.380908

0.428 0.0414938 -0.520829 -0.370657

0.43 0.0404507 -0.52155 -0.360392

0.432 0.0394062 -0.52225 -0.350114

0.434 0.0383603 -0.52293 -0.339824

0.436 0.0373131 -0.523589 -0.329522

0.438 0.0362647 -0.524227 -0.319209

0.44 0.035215 -0.524845 -0.308884

0.442 0.0341641 -0.525442 -0.298549

0.444 0.0331121 -0.526019 -0.288204

0.446 0.0320589 -0.526574 -0.277849

0.448 0.0310047 -0.527109 -0.267484

0.45 0.0299495 -0.527623 -0.257111

0.452 0.0288932 -0.528117 -0.246728

0.454 0.027836 -0.52859 -0.236338

0.456 0.026778 -0.529041 -0.22594

0.458 0.025719 -0.529473 -0.215535

0.46 0.0246593 -0.529883 -0.2051220.462 0.0235987 -0.530272 -0.194704

0.464 0.0225374 -0.530641 -0.184279

0.466 0.0214754 -0.530988 -0.173848

0.468 0.0204128 -0.531315 -0.163413

0.47 0.0193496 -0.531621 -0.152972

0.472 0.0182858 -0.531906 -0.142528

0.474 0.0172214 -0.53217 -0.132079

0.476 0.0161566 -0.532414 -0.121627

7/21/2019 Phys273 hw3


0.478 0.0150913 -0.532636 -0.111171

0.48 0.0140256 -0.532837 -0.100713

0.482 0.0129596 -0.533018 -0.090253

0.484 0.0118933 -0.533177 -0.07979

0.486 0.0108266 -0.533316 -0.069327

0.488 0.0097598 -0.533434 -0.058862

0.49 0.0086927 -0.533531 -0.048397

0.492 0.0076255 -0.533607 -0.037932

0.494 0.0065582 -0.533661 -0.027467

0.496 0.0054908 -0.533695 -0.017002

0.498 0.0044234 -0.533709 -0.006539

0.5 0.003356 -0.5337010.0039226

0.502 0.0022886 -0.5336720.0143824

0.504 0.0012214 -0.5336220.0248398

0.506 0.0001543 -0.5335520.0352943

0.508 -0.000913 -0.53346 0.0457457

0.51 -0.001979 -0.5333480.0561934

0.512 -0.003046 -0.5332150.0666371

0.514 -0.004112 -0.53306 0.0770762

0.516 -0.005178 -0.5328850.0875105

0.518 -0.006243 -0.5326890.0979394

0.52 -0.007308 -0.5324730.1083626

0.522 -0.008372 -0.5322350.1187797

0.524 -0.009436 -0.5319770.1291901

0.526 -0.0105 -0.5316980.1395935

0.528 -0.011563 -0.5313980.1499896

0.53 -0.012625 -0.5310770.1603778

0.532 -0.013686 -0.5307350.1707577

0.534 -0.014747 -0.530373 0.181129

0.536 -0.015807 -0.52999 0.1914911

0.538 -0.016866 -0.5295860.2018438

0.54 -0.017924 -0.5291620.2121866

0.542 -0.018982 -0.528717 0.222519

0.544 -0.020038 -0.5282510.2328407

0.546 -0.021094 -0.5277650.2431512

0.548 -0.022148 -0.5272580.2534501

0.55 -0.023202 -0.526731 0.263737

0.552 -0.024254 -0.5261830.2740116

0.554 -0.025306 -0.5256140.2842733

0.556 -0.026356 -0.5250250.29452190.558 -0.027404 -0.5244160.3047567

0.56 -0.028452 -0.5237860.3149776

0.562 -0.029498 -0.523135 0.325184

0.564 -0.030543 -0.5224640.3353755

0.566 -0.031587 -0.5217730.3455518

0.568 -0.032629 -0.5210620.3557124

0.57 -0.033669 -0.52033 0.3658569

0.572 -0.034709 -0.519578 0.375985

7/21/2019 Phys273 hw3


0.574 -0.035746 -0.5188060.3860962

0.576 -0.036782 -0.5180140.3961901

0.578 -0.037817 -0.5172010.4062663

0.58 -0.038849 -0.5163690.4163244

0.582 -0.03988 -0.515516 0.4263641

0.584 -0.04091 -0.514643 0.4363848

0.586 -0.041937 -0.51375 0.4463863

0.588 -0.042963 -0.5128370.4563681

0.59 -0.043987 -0.5119050.4663298

0.592 -0.045009 -0.510952 0.476271

0.594 -0.046029 -0.50998 0.4861914

0.596 -0.047047 -0.5089880.4960905

0.598 -0.048063 -0.507976 0.505968

0.6 -0.049076 -0.5069440.5158235

0.602 -0.050088 -0.5058930.5256565

0.604 -0.051098 -0.5048220.5354667

0.606 -0.052105 -0.5037310.5452537

0.608 -0.053111 -0.5026210.5550171

0.61 -0.054114 -0.5014920.5647565

0.612 -0.055114 -0.5003430.5744716

0.614 -0.056113 -0.4991750.5841619

0.616 -0.057109 -0.4979870.5938271

0.618 -0.058102 -0.49678 0.6034669

0.62 -0.059093 -0.4955540.6130807

0.622 -0.060082 -0.4943080.6226683

0.624 -0.061068 -0.4930440.6322292

0.626 -0.062051 -0.4917610.6417632

0.628 -0.063032 -0.4904580.6512697

0.63 -0.064011 -0.4891360.6607485

0.632 -0.064986 -0.4877960.6701992

0.634 -0.065959 -0.4864370.6796214

0.636 -0.066929 -0.4850590.6890148

0.638 -0.067897 -0.4836620.6983789

0.64 -0.068861 -0.4822470.7077134

0.642 -0.069823 -0.480813 0.717018

0.644 -0.070781 -0.47936 0.7262923

0.646 -0.071737 -0.4778890.7355359

0.648 -0.07269 -0.476399 0.7447484

0.65 -0.07364 -0.474892 0.7539296

0.652 -0.074586 -0.473365 0.7630790.654 -0.07553 -0.471821 0.7721963

0.656 -0.076471 -0.4702580.7812812

0.658 -0.077408 -0.4686780.7903332

0.66 -0.078342 -0.4670790.7993522

0.662 -0.079273 -0.4654620.8083376

0.664 -0.080201 -0.4638280.8172891

0.666 -0.081125 -0.4621750.8262065

0.668 -0.082046 -0.4605050.8350893

7/21/2019 Phys273 hw3


0.67 -0.082964 -0.4588170.8439373

0.672 -0.083878 -0.457112 0.85275

0.674 -0.084789 -0.4553890.8615272

0.676 -0.085696 -0.4536480.8702685

0.678 -0.0866 -0.451890.8789735

0.68 -0.0875 -0.450115 0.887642

0.682 -0.088397 -0.4483220.8962736

0.684 -0.08929 -0.446513 0.904868

0.686 -0.090179 -0.4446860.9134249

0.688 -0.091065 -0.4428420.9219438

0.69 -0.091947 -0.4409810.9304246

0.692 -0.092825 -0.4391030.9388668

0.694 -0.093699 -0.4372090.9472703

0.696 -0.09457 -0.435298 0.9556345

0.698 -0.095437 -0.43337 0.9639593

0.7 -0.0963 -0.431425 0.9722443

0.702 -0.097158 -0.4294640.9804891

0.704 -0.098013 -0.4274870.9886936

0.706 -0.098864 -0.4254930.9968574

0.708 -0.099711 -0.4234831.0049801

0.71 -0.100554 -0.4214571.0130614

0.712 -0.101393 -0.4194151.0211011

0.714 -0.102228 -0.4173571.0290989

0.716 -0.103058 -0.4152831.0370545

0.718 -0.103885 -0.4131931.0449675

0.72 -0.104707 -0.4110871.0528376

0.722 -0.105525 -0.4089661.0606646

0.724 -0.106339 -0.4068291.0684482

0.726 -0.107148 -0.4046761.0761881

0.728 -0.107953 -0.402509 1.083884

0.73 -0.108754 -0.4003251.0915355

0.732 -0.10955 -0.398127 1.0991426

0.734 -0.110342 -0.3959141.1067047

0.736 -0.111129 -0.3936851.1142217

0.738 -0.111912 -0.3914421.1216933

0.74 -0.11269 -0.389184 1.1291192

0.742 -0.113464 -0.3869111.1364991

0.744 -0.114233 -0.3846231.1438328

0.746 -0.114998 -0.382321 1.15112

0.748 -0.115758 -0.3800041.15836040.75 -0.116513 -0.3776731.1655538

0.752 -0.117264 -0.3753281.1726999

0.754 -0.11801 -0.372968 1.1797984

0.756 -0.118751 -0.370594 1.186849

0.758 -0.119488 -0.3682071.1938516

0.76 -0.120219 -0.3658051.2008058

0.762 -0.120946 -0.36339 1.2077114

0.764 -0.121668 -0.36096 1.2145682

7/21/2019 Phys273 hw3


0.766 -0.122385 -0.3585181.2213759

0.768 -0.123097 -0.3560611.2281342

0.77 -0.123804 -0.353592 1.234843

0.772 -0.124506 -0.3511091.2415019

0.774 -0.125204 -0.3486131.2481107

0.776 -0.125896 -0.3461031.2546692

0.778 -0.126583 -0.3435811.2611772

0.78 -0.127265 -0.3410461.2676344

0.782 -0.127942 -0.3384971.2740406

0.784 -0.128614 -0.3359371.2803955

0.786 -0.129281 -0.3333631.2866989

0.788 -0.129942 -0.3307771.2929507

0.79 -0.130599 -0.3281791.2991505

0.792 -0.13125 -0.325568 1.3052982

0.794 -0.131896 -0.3229461.3113935

0.796 -0.132536 -0.3203111.3174362

0.798 -0.133172 -0.3176641.3234261

0.8 -0.133802 -0.315005 1.329363

0.802 -0.134426 -0.3123351.3352467

0.804 -0.135046 -0.309653 1.341077

0.806 -0.135659 -0.3069591.3468536

0.808 -0.136268 -0.3042541.3525764

0.81 -0.136871 -0.3015371.3582451

0.812 -0.137469 -0.29881 1.3638596

0.814 -0.138061 -0.2960711.3694197

0.816 -0.138647 -0.2933211.3749251

0.818 -0.139229 -0.29056 1.3803757

0.82 -0.139804 -0.2877891.3857713

0.822 -0.140374 -0.2850061.3911116

0.824 -0.140939 -0.2822141.3963966

0.826 -0.141497 -0.27941 1.401626

0.828 -0.142051 -0.2765971.4067997

0.83 -0.142598 -0.2737731.4119174

0.832 -0.14314 -0.270939 1.4169789

0.834 -0.143676 -0.2680951.4219842

0.836 -0.144207 -0.265241 1.426933

0.838 -0.144731 -0.2623771.4318252

0.84 -0.14525 -0.259504 1.4366606

0.842 -0.145764 -0.256621 1.441439

0.844 -0.146271 -0.2537291.44616030.846 -0.146773 -0.2508271.4508243

0.848 -0.147269 -0.2479161.4554308

0.85 -0.147759 -0.2449961.4599798

0.852 -0.148243 -0.2420671.4644709

0.854 -0.148721 -0.23913 1.4689041

0.856 -0.149193 -0.2361831.4732793

0.858 -0.14966 -0.233228 1.4775963

0.86 -0.15012 -0.230264 1.4818548

7/21/2019 Phys273 hw3


0.862 -0.150575 -0.2272921.4860549

0.864 -0.151024 -0.2243121.4901963

0.866 -0.151466 -0.221323 1.494279

0.868 -0.151903 -0.2183271.4983027

0.87 -0.152334 -0.2153221.5022673

0.872 -0.152758 -0.21231 1.5061728

0.874 -0.153177 -0.20929 1.5100189

0.876 -0.153589 -0.2062621.5138056

0.878 -0.153996 -0.2032271.5175327

0.88 -0.154396 -0.2001851.5212002

0.882 -0.15479 -0.197135 1.5248077

0.884 -0.155178 -0.1940781.5283554

0.886 -0.155561 -0.191015 1.531843

0.888 -0.155936 -0.1879441.5352704

0.89 -0.156306 -0.1848671.5386376

0.892 -0.15667 -0.181783 1.5419443

0.894 -0.157027 -0.1786921.5451906

0.896 -0.157378 -0.1755961.5483763

0.898 -0.157723 -0.1724931.5515012

0.9 -0.158062 -0.1693841.5545654

0.902 -0.158395 -0.1662681.5575686

0.904 -0.158721 -0.1631471.5605108

0.906 -0.159041 -0.160021 1.563392

0.908 -0.159355 -0.1568881.5662119

0.91 -0.159662 -0.15375 1.5689706

0.912 -0.159963 -0.1506071.5716679

0.914 -0.160258 -0.1474581.5743038

0.916 -0.160547 -0.1443051.5768782

0.918 -0.160829 -0.1411461.5793909

0.92 -0.161105 -0.1379821.5818419

0.922 -0.161375 -0.1348141.5842312

0.924 -0.161638 -0.13164 1.5865586

0.926 -0.161895 -0.1284631.5888242

0.928 -0.162146 -0.1252811.5910277

0.93 -0.16239 -0.122094 1.5931692

0.932 -0.162628 -0.1189041.5952486

0.934 -0.162859 -0.1157091.5972658

0.936 -0.163084 -0.1125111.5992208

0.938 -0.163303 -0.1093091.6011135

0.94 -0.163515 -0.1061031.60294390.942 -0.163721 -0.1028931.6047119

0.944 -0.16392 -0.099681 1.6064174

0.946 -0.164113 -0.0964641.6080604

0.948 -0.164299 -0.0932451.6096409

0.95 -0.164479 -0.0900231.6111588

0.952 -0.164653 -0.086798 1.612614

0.954 -0.16482 -0.08357 1.6140066

0.956 -0.164981 -0.0803391.6153365

7/21/2019 Phys273 hw3


7/21/2019 Phys273 hw3


1.054 -0.164896 0.07860311.6035118

1.056 -0.164733 0.0818065 1.601708

1.058 -0.164563 0.08500621.5998426

1.06 -0.164386 0.0882021.5979156

1.062 -0.164203 0.09139391.5959271

1.064 -0.164014 0.09458161.5938772

1.066 -0.163819 0.0977651 1.591766

1.068 -0.163617 0.10094431.5895935

1.07 -0.163409 0.10411911.5873599

1.072 -0.163194 0.10728921.5850652

1.074 -0.162973 0.11045461.5827095

1.076 -0.162746 0.11361521.5802929

1.078 -0.162512 0.11677081.5778156

1.08 -0.162273 0.11992141.5752776

1.082 -0.162026 0.1230667 1.572679

1.084 -0.161774 0.1262068 1.57002

1.086 -0.161515 0.12934141.5673005

1.088 -0.16125 0.13247041.5645209

1.09 -0.160979 0.1355938 1.561681

1.092 -0.160702 0.13871131.5587812

1.094 -0.160418 0.1418231.5558214

1.096 -0.160128 0.14492861.5528018

1.098 -0.159832 0.1480281.5497225

1.1 -0.15953 0.15112121.5465837

1.102 -0.159222 0.1542081.5433855

1.104 -0.158907 0.15728821.5401279

1.106 -0.158586 0.16036191.5368111

1.108 -0.158259 0.16342871.5334353

1.11 -0.157926 0.16648871.5300006

1.112 -0.157587 0.16954171.5265071

1.114 -0.157242 0.17258761.5229549

1.116 -0.156891 0.17562631.5193443

1.118 -0.156534 0.17865771.5156752

1.12 -0.15617 0.18168161.5119479

1.122 -0.155801 0.18469791.5081626

1.124 -0.155425 0.18770651.5043193

1.126 -0.155044 0.19070741.5004182

1.128 -0.154657 0.19370031.4964595

1.13 -0.154263 0.19668521.4924433

1.132 -0.153864 0.19966191.48836981.134 -0.153459 0.20263041.4842391

1.136 -0.153047 0.20559051.4800515

1.138 -0.15263 0.20854211.4758069

1.14 -0.152207 0.21148511.4715057

1.142 -0.151779 0.2144194 1.467148

1.144 -0.151344 0.21734491.4627339

1.146 -0.150903 0.22026141.4582637

1.148 -0.150457 0.22316891.4537375

7/21/2019 Phys273 hw3


1.15 -0.150005 0.22606721.4491554

1.152 -0.149547 0.22895621.4445177

1.154 -0.149083 0.23183591.4398245

1.156 -0.148614 0.234706 1.435076

1.158 -0.148139 0.23756661.4302724

1.16 -0.147658 0.24041741.4254139

1.162 -0.147171 0.24325841.4205007

1.164 -0.146679 0.24608951.4155329

1.166 -0.146181 0.24891051.4105108

1.168 -0.145678 0.25172141.4054345

1.17 -0.145169 0.2545221.4003042

1.172 -0.144654 0.25731221.3951202

1.174 -0.144134 0.2600921.3898826

1.176 -0.143608 0.26286121.3845916

1.178 -0.143077 0.26561971.3792475

1.18 -0.14254 0.26836741.3738504

1.182 -0.141998 0.27110421.3684006

1.184 -0.141451 0.27383 1.3628982

1.186 -0.140897 0.27654471.3573436

1.188 -0.140339 0.27924811.3517368

1.19 -0.139775 0.28194031.3460781

1.192 -0.139206 0.2846211.3403677

1.194 -0.138631 0.28729021.3346059

1.196 -0.138051 0.28994781.3287928

1.198 -0.137466 0.29259371.3229288

1.2 -0.136876 0.29522771.3170139

1.202 -0.13628 0.29784981.3110485

1.204 -0.135679 0.30045991.3050328

1.206 -0.135073 0.30305781.2989669

1.208 -0.134462 0.30564351.2928512

1.21 -0.133845 0.30821691.2866859

1.212 -0.133224 0.31077781.2804712

1.214 -0.132597 0.31332621.2742074

1.216 -0.131965 0.3158621.2678946

1.218 -0.131329 0.31838511.2615332

1.22 -0.130687 0.32089531.2551234

1.222 -0.13004 0.32339271.2486654

1.224 -0.129388 0.3258771.2421595

1.226 -0.128732 0.32834821.2356059

1.228 -0.12807 0.3308062 1.2290051.23 -0.127403 0.33325091.2223568

1.232 -0.126732 0.33568221.2156618

1.234 -0.126056 0.33810011.2089201

1.236 -0.125375 0.34050431.2021321

1.238 -0.124689 0.34289491.1952979

1.24 -0.123998 0.34527181.1884179

1.242 -0.123303 0.34763481.1814923

1.244 -0.122603 0.34998381.1745214

7/21/2019 Phys273 hw3


1.246 -0.121899 0.35231881.1675054

1.248 -0.121189 0.35463971.1604447

1.25 -0.120475 0.35694641.1533395

1.252 -0.119757 0.3592388 1.14619

1.254 -0.119034 0.36151681.1389966

1.256 -0.118306 0.36378031.1317596

1.258 -0.117574 0.36602921.1244792

1.26 -0.116838 0.36826351.1171556

1.262 -0.116097 0.37048311.1097893

1.264 -0.115351 0.37268791.1023804

1.266 -0.114602 0.37487771.0949293

1.268 -0.113848 0.37705261.0874363

1.27 -0.113089 0.37921241.0799016

1.272 -0.112326 0.38135711.0723255

1.274 -0.111559 0.38348651.0647084

1.276 -0.110788 0.38560061.0570505

1.278 -0.110013 0.38769931.0493521

1.28 -0.109233 0.38978251.0416136

1.282 -0.10845 0.39185021.0338352

1.284 -0.107662 0.39390221.0260172

1.286 -0.10687 0.3959385 1.01816

1.288 -0.106074 0.39795911.0102639

1.29 -0.105274 0.39996371.0023291

1.292 -0.10447 0.4019524 0.994356

1.294 -0.103662 0.40392510.9863449

1.296 -0.102851 0.4058817 0.978296

1.298 -0.102035 0.40782210.9702098

1.3 -0.101215 0.40974630.9620866

1.302 -0.100392 0.41165420.9539265

1.304 -0.099565 0.41354560.9457301

1.306 -0.098734 0.41542060.9374975

1.308 -0.0979 0.4172791 0.9292292

1.31 -0.097061 0.41912090.9209254

1.312 -0.096219 0.42094610.9125865

1.314 -0.095374 0.42275450.9042128

1.316 -0.094525 0.42454610.8958047

1.318 -0.093672 0.42632090.8873623

1.32 -0.092816 0.42807860.8788862

1.322 -0.091956 0.42981940.8703767

1.324 -0.091093 0.43154310.86183391.326 -0.090227 0.43324960.8532584

1.328 -0.089357 0.43493890.8446505

1.33 -0.088484 0.43661090.8360104

1.332 -0.087607 0.43826560.8273385

1.334 -0.086727 0.43990280.8186352

1.336 -0.085844 0.44152260.8099009

1.338 -0.084958 0.44312490.8011357

1.34 -0.084069 0.44470960.7923402

7/21/2019 Phys273 hw3


1.342 -0.083176 0.44627660.7835147

1.344 -0.082281 0.44782590.7746594

1.346 -0.081382 0.44935750.7657748

1.348 -0.08048 0.45087120.7568612

1.35 -0.079575 0.4523671 0.747919

1.352 -0.078668 0.4538450.7389485

1.354 -0.077757 0.45530490.7299501

1.356 -0.076844 0.45674670.7209241

1.358 -0.075927 0.45817040.7118709

1.36 -0.075008 0.4595760.7027908

1.362 -0.074086 0.46096340.6936843

1.364 -0.073161 0.46233250.6845516

1.366 -0.072234 0.46368330.6753932

1.368 -0.071304 0.46501570.6662093

1.37 -0.070371 0.46632970.6570005

1.372 -0.069436 0.4676252 0.647767

1.374 -0.068498 0.46890230.6385091

1.376 -0.067558 0.47016070.6292274

1.378 -0.066615 0.47140060.6199221

1.38 -0.06567 0.47262170.6105936

1.382 -0.064722 0.47382420.6012423

1.384 -0.063772 0.4750080.5918686

1.386 -0.06282 0.47617290.5824728

1.388 -0.061865 0.4773190.5730553

1.39 -0.060908 0.47844630.5636165

1.392 -0.059949 0.47955460.5541568

1.394 -0.058988 0.48064390.5446765

1.396 -0.058025 0.48171430.5351761

1.398 -0.057059 0.48276560.5256558

1.4 -0.056091 0.48379780.5161162

1.402 -0.055122 0.48481090.5065575

1.404 -0.05415 0.48580490.4969801

1.406 -0.053177 0.48677970.4873845

1.408 -0.052201 0.48773520.4777711

1.41 -0.051224 0.48867150.4681401

1.412 -0.050245 0.4895885 0.458492

1.414 -0.049264 0.49048610.4488272

1.416 -0.048281 0.4913644 0.439146

1.418 -0.047297 0.4922233 0.429449

1.42 -0.04631 0.49306280.41973631.422 -0.045323 0.49388280.4100085

1.424 -0.044333 0.4946833 0.400266

1.426 -0.043342 0.4954644 0.390509

1.428 -0.04235 0.49622580.3807381

1.43 -0.041356 0.49696770.3709535

1.432 -0.040361 0.49769 0.3611558

1.434 -0.039364 0.49839270.3513452

1.436 -0.038366 0.49907580.3415222

7/21/2019 Phys273 hw3


1.438 -0.037366 0.49973920.3316872

1.44 -0.036365 0.50038280.3218406

1.442 -0.035363 0.50100680.3119828

1.444 -0.03436 0.501611 0.3021141

1.446 -0.033356 0.50219550.2922349

1.448 -0.03235 0.50276020.2823458

1.45 -0.031344 0.5033051 0.272447

1.452 -0.030336 0.5038302 0.262539

1.454 -0.029327 0.50433540.2526221

1.456 -0.028318 0.50482080.2426967

1.458 -0.027307 0.50528630.2327634

1.46 -0.026296 0.5057320.2228224

1.462 -0.025283 0.50615770.2128741

1.464 -0.02427 0.5065636 0.202919

1.466 -0.023256 0.50694950.1929575

1.468 -0.022242 0.50731550.1829899

1.47 -0.021226 0.50766150.1730167

1.472 -0.02021 0.50798760.1630382

1.474 -0.019194 0.50829370.1530549

1.476 -0.018177 0.50857980.1430672

1.478 -0.017159 0.5088460.1330754

1.48 -0.016141 0.5090921 0.12308

1.482 -0.015122 0.50931830.1130814

1.484 -0.014103 0.50952440.1030799

1.486 -0.013084 0.5097106 0.093076

1.488 -0.012064 0.50987670.0830702

1.49 -0.011044 0.51002290.0730626

1.492 -0.010024 0.5101490.0630539

1.494 -0.009003 0.51025510.0530444

1.496 -0.007982 0.51034110.0430344

1.498 -0.006962 0.51040720.0330245

1.5 -0.005941 0.51045320.0230149

1.502 -0.00492 0.51047920.0130062

1.504 -0.003899 0.51048520.0029986

1.506 -0.002878 0.5104712 -0.007007

1.508 -0.001857 0.5104372 -0.017011

1.51 -0.000836 0.5103832 -0.027013

1.512 0.0001845 0.5103091 -0.037011

1.514 0.0012049 0.5102151 -0.047007

1.516 0.0022251 0.5101011 -0.0569991.518 0.0032451 0.5099671 -0.066987

1.52 0.0042647 0.5098132 -0.07697

1.522 0.005284 0.5096393 -0.086949

1.524 0.0063029 0.5094455 -0.096922

1.526 0.0073213 0.5092317 -0.10689

1.528 0.0083393 0.508998 -0.116852

1.53 0.0093568 0.5087444 -0.126807

1.532 0.0103738 0.5084709 -0.136756

7/21/2019 Phys273 hw3


1.534 0.0113901 0.5081775 -0.146697

1.536 0.0124058 0.5078642 -0.156631

1.538 0.0134209 0.5075311 -0.166556

1.54 0.0144353 0.5071781 -0.176474

1.542 0.0154489 0.5068054 -0.186382

1.544 0.0164617 0.5064128 -0.196281

1.546 0.0174737 0.5060005 -0.206171

1.548 0.0184848 0.5055684 -0.216051

1.55 0.0194951 0.5051165 -0.22592

1.552 0.0205044 0.504645 -0.235778

1.554 0.0215127 0.5041537 -0.245626

1.556 0.02252 0.5036428 -0.255461

1.558 0.0235262 0.5031122 -0.265285

1.56 0.0245313 0.502562 -0.275097

1.562 0.0255353 0.5019922 -0.284895

1.564 0.0265381 0.5014029 -0.294681

1.566 0.0275397 0.500794 -0.304453

1.568 0.02854 0.5001656 -0.314211

1.57 0.029539 0.4995176 -0.323955

1.572 0.0305367 0.4988503 -0.333684

1.574 0.0315331 0.4981635 -0.343397

1.576 0.032528 0.4974573 -0.353096

1.578 0.0335215 0.4967317 -0.362779

1.58 0.0345134 0.4959868 -0.372445

1.582 0.0355039 0.4952227 -0.382095

1.584 0.0364927 0.4944392 -0.391727

1.586 0.03748 0.4936365 -0.401343

1.588 0.0384656 0.4928146 -0.41094

1.59 0.0394496 0.4919736 -0.42052

1.592 0.0404318 0.4911134 -0.430081

1.594 0.0414123 0.4902342 -0.439623

1.596 0.042391 0.4893359 -0.449145

1.598 0.0433678 0.4884186 -0.458648

1.6 0.0443428 0.4874823 -0.468131

1.602 0.0453158 0.4865271 -0.477594

1.604 0.0462869 0.4855531 -0.487035

1.606 0.047256 0.4845602 -0.496456

1.608 0.0482231 0.4835485 -0.505855

1.61 0.0491882 0.482518 -0.515232

1.612 0.0501511 0.4814688 -0.5245871.614 0.0511119 0.480401 -0.533919

1.616 0.0520705 0.4793145 -0.543229

1.618 0.053027 0.4782095 -0.552514

1.62 0.0539811 0.4770859 -0.561776

1.622 0.054933 0.4759439 -0.571014

1.624 0.0558826 0.4747835 -0.580228

1.626 0.0568298 0.4736046 -0.589417

1.628 0.0577746 0.4724075 -0.59858

7/21/2019 Phys273 hw3


1.63 0.058717 0.471192 -0.607718

1.632 0.0596569 0.4699584 -0.61683

1.634 0.0605943 0.4687065 -0.625916

1.636 0.0615292 0.4674366 -0.634975

1.638 0.0624615 0.4661486 -0.644007

1.64 0.0633912 0.4648425 -0.653012

1.642 0.0643182 0.4635186 -0.661989

1.644 0.0652426 0.4621767 -0.670939

1.646 0.0661642 0.460817 -0.679859

1.648 0.0670831 0.4594395 -0.688752

1.65 0.0679992 0.4580442 -0.697615

1.652 0.0689124 0.4566313 -0.706448

1.654 0.0698228 0.4552008 -0.715252

1.656 0.0707303 0.4537528 -0.724026

1.658 0.0716349 0.4522872 -0.732769

1.66 0.0725365 0.4508043 -0.741482

1.662 0.0734351 0.449304 -0.750163

1.664 0.0743307 0.4477863 -0.758813

1.666 0.0752232 0.4462515 -0.767431

1.668 0.0761126 0.4446994 -0.776018

1.67 0.0769989 0.4431303 -0.784571

1.672 0.077882 0.4415441 -0.793092

1.674 0.0787618 0.4399409 -0.80158

1.676 0.0796385 0.4383209 -0.810034

1.678 0.0805119 0.436684 -0.818455

1.68 0.0813819 0.4350303 -0.826842

1.682 0.0822486 0.4333599 -0.835194

1.684 0.083112 0.4316729 -0.843511

1.686 0.0839719 0.4299693 -0.851794

1.688 0.0848284 0.4282492 -0.860041

1.69 0.0856814 0.4265127 -0.868252

1.692 0.086531 0.4247598 -0.876428

1.694 0.0873769 0.4229907 -0.884567

1.696 0.0882194 0.4212054 -0.89267

1.698 0.0890582 0.4194039 -0.900735

1.7 0.0898933 0.4175864 -0.908764

1.702 0.0907248 0.4157529 -0.916755

1.704 0.0915526 0.4139034 -0.924708

1.706 0.0923767 0.4120382 -0.932623

1.708 0.093197 0.4101572 -0.94051.71 0.0940136 0.4082605 -0.948338

1.712 0.0948263 0.4063482 -0.956136

1.714 0.0956351 0.4044205 -0.963896

1.716 0.0964401 0.4024772 -0.971616

1.718 0.0972411 0.4005186 -0.979296

1.72 0.0980382 0.3985448 -0.986936

1.722 0.0988313 0.3965557 -0.994535

1.724 0.0996204 0.3945515 -1.002094

7/21/2019 Phys273 hw3


1.726 0.1004055 0.3925323 -1.009612

1.728 0.1011865 0.3904981 -1.017088

1.73 0.1019634 0.3884491 -1.024523

1.732 0.1027361 0.3863852 -1.031916

1.734 0.1035047 0.3843067 -1.039267

1.736 0.1042692 0.3822135 -1.046575

1.738 0.1050294 0.3801059 -1.05384

1.74 0.1057853 0.3779837 -1.061063

1.742 0.106537 0.3758472 -1.068242

1.744 0.1072844 0.3736965 -1.075378

1.746 0.1080275 0.3715315 -1.08247

1.748 0.1087662 0.3693525 -1.089519

1.75 0.1095005 0.3671595 -1.096522

1.752 0.1102304 0.3649525 -1.103482

1.754 0.1109559 0.3627317 -1.110396

1.756 0.1116769 0.3604972 -1.117266

1.758 0.1123934 0.358249 -1.12409

1.76 0.1131054 0.3559873 -1.130868

1.762 0.1138128 0.3537121 -1.137601

1.764 0.1145156 0.3514235 -1.144288

1.766 0.1152139 0.3491216 -1.150928

1.768 0.1159075 0.3468066 -1.157522

1.77 0.1165964 0.3444785 -1.164069

1.772 0.1172807 0.3421373 -1.170569

1.774 0.1179603 0.3397833 -1.177022

1.776 0.1186351 0.3374164 -1.183427

1.778 0.1193052 0.3350368 -1.189784

1.78 0.1199705 0.3326447 -1.196094

1.782 0.120631 0.33024 -1.202355

1.784 0.1212866 0.3278228 -1.208568

1.786 0.1219374 0.3253933 -1.214732

1.788 0.1225833 0.3229517 -1.220848

1.79 0.1232243 0.3204978 -1.226914

1.792 0.1238603 0.318032 -1.232931

1.794 0.1244915 0.3155542 -1.238899

1.796 0.1251176 0.3130645 -1.244816

1.798 0.1257387 0.3105632 -1.250684

1.8 0.1263548 0.3080502 -1.256502

1.802 0.1269659 0.3055256 -1.262269

1.804 0.1275718 0.3029896 -1.2679861.806 0.1281727 0.3004423 -1.273652

1.808 0.1287685 0.2978838 -1.279267

1.81 0.1293591 0.2953142 -1.284831

1.812 0.1299446 0.2927335 -1.290343

1.814 0.1305249 0.2901419 -1.295804

1.816 0.1311 0.2875394 -1.301213

1.818 0.1316698 0.2849263 -1.30657

1.82 0.1322344 0.2823025 -1.311875

7/21/2019 Phys273 hw3


1.822 0.1327937 0.2796683 -1.317128

1.824 0.1333478 0.2770236 -1.322328

1.826 0.1338965 0.2743687 -1.327475

1.828 0.1344399 0.2717035 -1.33257

1.83 0.134978 0.2690283 -1.337611

1.832 0.1355107 0.2663431 -1.3426

1.834 0.136038 0.263648 -1.347534

1.836 0.1365599 0.2609432 -1.352416

1.838 0.1370763 0.2582287 -1.357243

1.84 0.1375873 0.2555047 -1.362017

1.842 0.1380929 0.2527712 -1.366736

1.844 0.1385929 0.2500284 -1.371401

1.846 0.1390875 0.2472764 -1.376012

1.848 0.1395765 0.2445153 -1.380568

1.85 0.14006 0.2417451 -1.38507

1.852 0.1405379 0.2389661 -1.389517

1.854 0.1410103 0.2361783 -1.393908

1.856 0.1414771 0.2333818 -1.398244

1.858 0.1419382 0.2305767 -1.402526

1.86 0.1423937 0.2277632 -1.406751

1.862 0.1428436 0.2249414 -1.410921

1.864 0.1432878 0.2221113 -1.415035

1.866 0.1437264 0.2192731 -1.419093

1.868 0.1441592 0.2164269 -1.423096

1.87 0.1445864 0.2135729 -1.427042

1.872 0.1450078 0.210711 -1.430931

1.874 0.1454235 0.2078415 -1.434765

1.876 0.1458334 0.2049644 -1.438541

1.878 0.1462376 0.2020799 -1.442261

1.88 0.146636 0.199188 -1.445924

1.882 0.1470285 0.1962889 -1.44953

1.884 0.1474153 0.1933828 -1.453079

1.886 0.1477962 0.1904696 -1.456571

1.888 0.1481713 0.1875496 -1.460006

1.89 0.1485406 0.1846229 -1.463383

1.892 0.148904 0.1816895 -1.466703

1.894 0.1492615 0.1787495 -1.469965

1.896 0.1496131 0.1758032 -1.473169

1.898 0.1499588 0.1728506 -1.476315

1.9 0.1502986 0.1698918 -1.4794041.902 0.1506324 0.1669269 -1.482434

1.904 0.1509603 0.1639561 -1.485406

1.906 0.1512823 0.1609794 -1.48832

1.908 0.1515983 0.1579971 -1.491176

1.91 0.1519083 0.1550091 -1.493973

1.912 0.1522123 0.1520157 -1.496712

1.914 0.1525104 0.1490169 -1.499392

1.916 0.1528024 0.1460129 -1.502013

7/21/2019 Phys273 hw3


1.918 0.1530884 0.1430038 -1.504575

1.92 0.1533684 0.1399896 -1.507079

1.922 0.1536423 0.1369705 -1.509524

1.924 0.1539102 0.1339467 -1.511909

1.926 0.154172 0.1309183 -1.514236

1.928 0.1544278 0.1278853 -1.516503

1.93 0.1546775 0.1248478 -1.518711

1.932 0.1549211 0.1218061 -1.52086

1.934 0.1551586 0.1187602 -1.52295

1.936 0.1553901 0.1157102 -1.52498

1.938 0.1556154 0.1126563 -1.52695

1.94 0.1558346 0.1095986 -1.528861

1.942 0.1560476 0.1065372 -1.530712

1.944 0.1562546 0.1034722 -1.532504

1.946 0.1564554 0.1004037 -1.534236

1.948 0.1566501 0.0973319 -1.535908

1.95 0.1568386 0.0942569 -1.53752

1.952 0.1570209 0.0911787 -1.539073

1.954 0.1571971 0.0880976 -1.540565

1.956 0.1573672 0.0850136 -1.541998

1.958 0.157531 0.0819269 -1.54337

1.96 0.1576887 0.0788375 -1.544683

1.962 0.1578402 0.0757456 -1.545935

1.964 0.1579855 0.0726514 -1.547128

1.966 0.1581246 0.0695548 -1.54826

1.968 0.1582575 0.0664562 -1.549332

1.97 0.1583842 0.0633555 -1.550344

1.972 0.1585047 0.0602529 -1.551295

1.974 0.158619 0.0571485 -1.552187

1.976 0.1587271 0.0540425 -1.553018

1.978 0.158829 0.0509349 -1.553789

1.98 0.1589246 0.0478259 -1.554499

1.982 0.159014 0.0447156 -1.555149

1.984 0.1590973 0.0416041 -1.555739

1.986 0.1591742 0.0384916 -1.556269

1.988 0.159245 0.0353781 -1.556738

1.99 0.1593095 0.0322638 -1.557147

1.992 0.1593678 0.0291488 -1.557495

1.994 0.1594199 0.0260333 -1.557784

1.996 0.1594657 0.0229172 -1.5580111.998 0.1595053 0.0198009 -1.558179

2 0.1595387 0.0166843 -1.558286

2.002 0.1595658 0.0135676 -1.558333

2.004 0.1595867 0.010451 -1.558319

2.006 0.1596014 0.0073345 -1.558246

2.008 0.1596098 0.0042183 -1.558112

2.01 0.159612 0.0011025 -1.557917

2.012 0.159608 -0.002013 -1.557663

7/21/2019 Phys273 hw3


2.014 0.1595978 -0.005128 -1.557348

2.016 0.1595813 -0.008242 -1.556973

2.018 0.1595586 -0.011355 -1.556537

2.02 0.1595296 -0.014467 -1.556042

2.022 0.1594945 -0.017578 -1.555486

2.024 0.1594531 -0.020687 -1.554871

2.026 0.1594055 -0.023796 -1.554195

2.028 0.1593517 -0.026903 -1.553459

2.03 0.1592917 -0.030008 -1.552663

2.032 0.1592255 -0.033112 -1.551807

2.034 0.159153 -0.036213 -1.550892

2.036 0.1590744 -0.039313 -1.549916

2.038 0.1589896 -0.042411 -1.548881

2.04 0.1588986 -0.045507 -1.547786

2.042 0.1588014 -0.0486 -1.546631

2.044 0.158698 -0.051691 -1.545416

2.046 0.1585884 -0.054779 -1.544142

2.048 0.1584727 -0.057865 -1.542808

2.05 0.1583508 -0.060947 -1.541415

2.052 0.1582228 -0.064027 -1.539963

2.054 0.1580886 -0.067104 -1.538451

2.056 0.1579482 -0.070178 -1.536879

2.058 0.1578017 -0.073248 -1.535249

2.06 0.1576491 -0.076316 -1.533559

2.062 0.1574903 -0.079379 -1.53181

2.064 0.1573254 -0.082439 -1.530002

2.066 0.1571544 -0.085495 -1.528135

2.068 0.1569773 -0.088548 -1.526209

2.07 0.1567942 -0.091596 -1.524225

2.072 0.1566049 -0.094641 -1.522182

2.074 0.1564095 -0.097681 -1.52008

2.076 0.1562081 -0.100717 -1.517919

2.078 0.1560006 -0.103748 -1.5157

2.08 0.155787 -0.106775 -1.513423

2.082 0.1555674 -0.109797 -1.511088

2.084 0.1553418 -0.112815 -1.508694

2.086 0.1551102 -0.115827 -1.506242

2.088 0.1548725 -0.118834 -1.503733

2.09 0.1546288 -0.121837 -1.501165

2.092 0.1543791 -0.124834 -1.498542.094 0.1541235 -0.127826 -1.495857

2.096 0.1538619 -0.130812 -1.493116

2.098 0.1535943 -0.133792 -1.490318

2.1 0.1533207 -0.136767 -1.487462

2.102 0.1530413 -0.139736 -1.48455

2.104 0.1527559 -0.1427 -1.48158

2.106 0.1524646 -0.145657 -1.478553

2.108 0.1521673 -0.148608 -1.47547

7/21/2019 Phys273 hw3


2.11 0.1518642 -0.151552 -1.472329

2.112 0.1515553 -0.154491 -1.469132

2.114 0.1512404 -0.157422 -1.465879

2.116 0.1509197 -0.160348 -1.462569

2.118 0.1505932 -0.163266 -1.459203

2.12 0.1502608 -0.166177 -1.455781

2.122 0.1499227 -0.169082 -1.452303

2.124 0.1495787 -0.17198 -1.448769

2.126 0.149229 -0.17487 -1.445179

2.128 0.1488735 -0.177753 -1.441534

2.13 0.1485122 -0.180629 -1.437833

2.132 0.1481452 -0.183497 -1.434077

2.134 0.1477725 -0.186357 -1.430266

2.136 0.1473941 -0.18921 -1.4264

2.138 0.14701 -0.192055 -1.422479

2.14 0.1466202 -0.194892 -1.418503

2.142 0.1462247 -0.197721 -1.414473

2.144 0.1458237 -0.200542 -1.410389

2.146 0.1454169 -0.203354 -1.40625

2.148 0.1450046 -0.206159 -1.402058

2.15 0.1445867 -0.208954 -1.397811

2.152 0.1441632 -0.211741 -1.393511

2.154 0.1437342 -0.214519 -1.389157

2.156 0.1432996 -0.217289 -1.38475

2.158 0.1428595 -0.22005 -1.380289

2.16 0.1424139 -0.222801 -1.375776

2.162 0.1419628 -0.225544 -1.37121

2.164 0.1415063 -0.228277 -1.366591

2.166 0.1410443 -0.231001 -1.361919

2.168 0.1405769 -0.233715 -1.357196

2.17 0.140104 -0.23642 -1.35242

2.172 0.1396258 -0.239115 -1.347592

2.174 0.1391422 -0.2418 -1.342712

2.176 0.1386532 -0.244476 -1.337781

2.178 0.1381589 -0.247142 -1.332798

2.18 0.1376594 -0.249797 -1.327765

2.182 0.1371545 -0.252442 -1.32268

2.184 0.1366443 -0.255078 -1.317544

2.186 0.1361289 -0.257702 -1.312358

2.188 0.1356083 -0.260316 -1.3071222.19 0.1350824 -0.26292 -1.301835

2.192 0.1345514 -0.265513 -1.296498

2.194 0.1340152 -0.268095 -1.291112

2.196 0.1334739 -0.270667 -1.285676

2.198 0.1329274 -0.273227 -1.28019

2.2 0.1323759 -0.275776 -1.274656

2.202 0.1318192 -0.278315 -1.269072

2.204 0.1312576 -0.280841 -1.26344

7/21/2019 Phys273 hw3


2.206 0.1306909 -0.283357 -1.257759

2.208 0.1301191 -0.285861 -1.25203

2.21 0.1295424 -0.288354 -1.246253

2.212 0.1289608 -0.290834 -1.240428

2.214 0.1283741 -0.293303 -1.234556

2.216 0.1277826 -0.295761 -1.228636

2.218 0.1271862 -0.298206 -1.222669

2.22 0.1265849 -0.300639 -1.216655

2.222 0.1259788 -0.303061 -1.210594

2.224 0.1253679 -0.30547 -1.204487

2.226 0.1247521 -0.307866 -1.198333

2.228 0.1241316 -0.310251 -1.192134

2.23 0.1235064 -0.312622 -1.185889

2.232 0.1228764 -0.314981 -1.179599

2.234 0.1222418 -0.317328 -1.173263

2.236 0.1216025 -0.319662 -1.166882

2.238 0.1209585 -0.321983 -1.160456

2.24 0.1203099 -0.324291 -1.153986

2.242 0.1196567 -0.326586 -1.147472

2.244 0.118999 -0.328867 -1.140914

2.246 0.1183367 -0.331136 -1.134312

2.248 0.1176699 -0.333391 -1.127666

2.25 0.1169987 -0.335633 -1.120977

2.252 0.116323 -0.337862 -1.114245

2.254 0.1156428 -0.340077 -1.107471

2.256 0.1149582 -0.342278 -1.100654

2.258 0.1142693 -0.344466 -1.093795

2.26 0.113576 -0.346639 -1.086894

2.262 0.1128784 -0.348799 -1.079951

2.264 0.1121765 -0.350945 -1.072967

2.266 0.1114704 -0.353077 -1.065942

2.268 0.11076 -0.355195 -1.058876

2.27 0.1100454 -0.357298 -1.05177

2.272 0.1093266 -0.359388 -1.044623

2.274 0.1086037 -0.361463 -1.037436

2.276 0.1078767 -0.363523 -1.03021

2.278 0.1071455 -0.365569 -1.022944

2.28 0.1064103 -0.3676 -1.015639

2.282 0.1056711 -0.369617 -1.008295

2.284 0.1049279 -0.371619 -1.0009132.286 0.1041806 -0.373606 -0.993492

2.288 0.1034295 -0.375578 -0.986034

2.29 0.1026744 -0.377535 -0.978537

2.292 0.1019155 -0.379477 -0.971003

2.294 0.1011527 -0.381404 -0.963433

2.296 0.100386 -0.383315 -0.955825

2.298 0.0996156 -0.385212 -0.948181

2.3 0.0988414 -0.387093 -0.9405

7/21/2019 Phys273 hw3


2.302 0.0980635 -0.388958 -0.932784

2.304 0.0972819 -0.390808 -0.925032

2.306 0.0964966 -0.392643 -0.917245

2.308 0.0957077 -0.394462 -0.909423

2.31 0.0949151 -0.396265 -0.901566

2.312 0.094119 -0.398052 -0.893675

2.314 0.0933194 -0.399824 -0.885749

2.316 0.0925162 -0.401579 -0.87779

2.318 0.0917096 -0.403319 -0.869798

2.32 0.0908995 -0.405042 -0.861772

2.322 0.090086 -0.40675 -0.853714

2.324 0.0892691 -0.408441 -0.845623

2.326 0.0884489 -0.410116 -0.8375

2.328 0.0876254 -0.411775 -0.829345

2.33 0.0867985 -0.413417 -0.821158

2.332 0.0859684 -0.415043 -0.812941

2.334 0.0851351 -0.416652 -0.804692

2.336 0.0842986 -0.418245 -0.796413

2.338 0.083459 -0.419821 -0.788104

2.34 0.0826162 -0.421381 -0.779765

2.342 0.0817704 -0.422924 -0.771396

2.344 0.0809215 -0.42445 -0.762998

2.346 0.0800696 -0.425959 -0.754571

2.348 0.0792147 -0.427451 -0.746116

2.35 0.0783568 -0.428926 -0.737632

2.352 0.077496 -0.430384 -0.729121

2.354 0.0766324 -0.431826 -0.720582

2.356 0.0757659 -0.43325 -0.712015

2.358 0.0748966 -0.434656 -0.703422

2.36 0.0740245 -0.436046 -0.694802

2.362 0.0731497 -0.437418 -0.686156

2.364 0.0722721 -0.438773 -0.677485

2.366 0.0713919 -0.440111 -0.668787

2.368 0.070509 -0.441431 -0.660065

2.37 0.0696236 -0.442734 -0.651318

2.372 0.0687355 -0.444019 -0.642546

2.374 0.0678449 -0.445286 -0.63375

2.376 0.0669519 -0.446536 -0.624931

2.378 0.0660563 -0.447768 -0.616088

2.38 0.0651584 -0.448983 -0.6072222.382 0.064258 -0.450179 -0.598333

2.384 0.0633553 -0.451358 -0.589422

2.386 0.0624503 -0.452519 -0.580489

2.388 0.0615429 -0.453662 -0.571534

2.39 0.0606334 -0.454787 -0.562559

2.392 0.0597216 -0.455895 -0.553562

2.394 0.0588076 -0.456984 -0.544544

2.396 0.0578915 -0.458055 -0.535507

7/21/2019 Phys273 hw3


2.398 0.0569733 -0.459108 -0.526449

2.4 0.056053 -0.460142 -0.517372

2.402 0.0551307 -0.461159 -0.508276

2.404 0.0542064 -0.462157 -0.499161

2.406 0.0532801 -0.463137 -0.490028

2.408 0.0523519 -0.464099 -0.480877

2.41 0.0514218 -0.465042 -0.471708

2.412 0.0504899 -0.465967 -0.462522

2.414 0.0495561 -0.466874 -0.453319

2.416 0.0486206 -0.467762 -0.444099

2.418 0.0476833 -0.468632 -0.434864

2.42 0.0467444 -0.469483 -0.425612

2.422 0.0458037 -0.470316 -0.416345

2.424 0.0448615 -0.47113 -0.407063

2.426 0.0439176 -0.471926 -0.397766

2.428 0.0429722 -0.472703 -0.388455

2.43 0.0420253 -0.473461 -0.37913

2.432 0.0410769 -0.4742 -0.369792

2.434 0.040127 -0.474921 -0.36044

2.436 0.0391758 -0.475623 -0.351075

2.438 0.0382232 -0.476307 -0.341698

2.44 0.0372692 -0.476971 -0.332309

2.442 0.036314 -0.477617 -0.322908

2.444 0.0353575 -0.478244 -0.313496

2.446 0.0343998 -0.478852 -0.304073

2.448 0.0334409 -0.479442 -0.294639

2.45 0.0324809 -0.480012 -0.285195

2.452 0.0315198 -0.480564 -0.275742

2.454 0.0305576 -0.481096 -0.266279

2.456 0.0295944 -0.48161 -0.256806

2.458 0.0286302 -0.482104 -0.247326

2.46 0.027665 -0.48258 -0.237837

2.462 0.0266989 -0.483037 -0.22834

2.464 0.025732 -0.483474 -0.218835

2.466 0.0247642 -0.483893 -0.209324

2.468 0.0237956 -0.484293 -0.199805

2.47 0.0228263 -0.484673 -0.19028

2.472 0.0218562 -0.485035 -0.18075

2.474 0.0208854 -0.485377 -0.171213

2.476 0.019914 -0.4857 -0.1616722.478 0.018942 -0.486005 -0.152126

2.48 0.0179695 -0.48629 -0.142575

2.482 0.0169963 -0.486556 -0.13302

2.484 0.0160227 -0.486803 -0.123461

2.486 0.0150487 -0.487031 -0.113899

2.488 0.0140742 -0.487239 -0.104334

2.49 0.0130993 -0.487429 -0.094767

2.492 0.0121241 -0.487599 -0.085198

7/21/2019 Phys273 hw3


2.494 0.0111486 -0.48775 -0.075626

2.496 0.0101729 -0.487883 -0.066054

2.498 0.0091969 -0.487996 -0.05648

2.5 0.0082207 -0.488089 -0.046906

2.502 0.0072444 -0.488164 -0.037331

2.504 0.0062679 -0.48822 -0.027757

2.506 0.0052914 -0.488256 -0.018183

2.508 0.0043149 -0.488273 -0.00861

2.51 0.0033383 -0.4882710.0009614

2.512 0.0023618 -0.48825 0.0105313

2.514 0.0013854 -0.48821 0.0200991

2.516 0.0004091 -0.4881510.0296644

2.518 -0.000567 -0.4880720.0392269

2.52 -0.001543 -0.4879750.0487862

2.522 -0.002519 -0.4878580.0583418

2.524 -0.003494 -0.4877220.0678935

2.526 -0.004469 -0.4875670.0774407

2.528 -0.005444 -0.4873930.0869833

2.53 -0.006418 -0.4872 0.0965207

2.532 -0.007392 -0.4869880.1060525

2.534 -0.008366 -0.4867570.1155785

2.536 -0.009339 -0.4865070.1250981

2.538 -0.010311 -0.4862380.1346111

2.54 -0.011283 -0.4859490.1441171

2.542 -0.012255 -0.4856420.1536156

2.544 -0.013225 -0.4853160.1631063

2.546 -0.014195 -0.4849710.1725888

2.548 -0.015164 -0.4846070.1820628

2.55 -0.016133 -0.4842230.1915278

2.552 -0.0171 -0.4838220.2009835

2.554 -0.018067 -0.4834010.2104295

2.556 -0.019033 -0.4829610.2198654

2.558 -0.019998 -0.4825020.2292909

2.56 -0.020962 -0.4820250.2387055

2.562 -0.021925 -0.4815290.2481089

2.564 -0.022887 -0.4810140.2575007

2.566 -0.023848 -0.48048 0.2668806

2.568 -0.024808 -0.4799270.2762482

2.57 -0.025767 -0.4793560.2856031

2.572 -0.026724 -0.4787660.29494482.574 -0.027681 -0.4781580.3042732

2.576 -0.028636 -0.4775310.3135877

2.578 -0.02959 -0.476885 0.322888

2.58 -0.030542 -0.4762210.3321738

2.582 -0.031493 -0.4755380.3414447

2.584 -0.032443 -0.4748360.3507003

2.586 -0.033391 -0.4741160.3599402

2.588 -0.034338 -0.4733780.3691641

7/21/2019 Phys273 hw3


2.59 -0.035283 -0.4726210.3783716

2.592 -0.036227 -0.4718460.3875623

2.594 -0.037169 -0.4710530.3967359

2.596 -0.038109 -0.470241 0.405892

2.598 -0.039048 -0.4694110.4150303

2.6 -0.039985 -0.4685630.4241504

2.602 -0.040921 -0.4676960.4332519

2.604 -0.041854 -0.4668110.4423345

2.606 -0.042786 -0.4659090.4513979

2.608 -0.043716 -0.4649880.4604415

2.61 -0.044644 -0.4640490.4694652

2.612 -0.04557 -0.463092 0.4784685

2.614 -0.046495 -0.4621170.4874511

2.616 -0.047417 -0.4611240.4964127

2.618 -0.048337 -0.4601130.5053528

2.62 -0.049255 -0.4590850.5142712

2.622 -0.050171 -0.4580390.5231674

2.624 -0.051085 -0.4569740.5320412

2.626 -0.051997 -0.4558930.5408922

2.628 -0.052907 -0.454793 0.54972

2.63 -0.053814 -0.4536760.5585243

2.632 -0.054719 -0.4525420.5673048

2.634 -0.055622 -0.451389 0.576061

2.636 -0.056522 -0.45022 0.5847928

2.638 -0.05742 -0.449033 0.5934996

2.64 -0.058316 -0.4478280.6021812

2.642 -0.059209 -0.4466070.6108373

2.644 -0.0601 -0.4453680.6194675

2.646 -0.060988 -0.4441120.6280714

2.648 -0.061874 -0.4428380.6366488

2.65 -0.062757 -0.4415480.6451993

2.652 -0.063637 -0.4402410.6537225

2.654 -0.064515 -0.4389160.6622182

2.656 -0.06539 -0.437575 0.670686

2.658 -0.066263 -0.4362170.6791256

2.66 -0.067132 -0.4348410.6875366

2.662 -0.067999 -0.43345 0.6959188

2.664 -0.068863 -0.4320410.7042717

2.666 -0.069725 -0.4306160.7125952

2.668 -0.070583 -0.4291740.72088872.67 -0.071438 -0.4277160.7291522

2.672 -0.072291 -0.4262410.7373851

2.674 -0.07314 -0.42475 0.7455872

2.676 -0.073987 -0.4232420.7537583

2.678 -0.07483 -0.421719 0.7618978

2.68 -0.075671 -0.4201790.7700057

2.682 -0.076508 -0.4186220.7780815

2.684 -0.077342 -0.41705 0.7861249

7/21/2019 Phys273 hw3


2.686 -0.078173 -0.4154620.7941357

2.688 -0.079001 -0.4138580.8021134

2.69 -0.079825 -0.4122370.8100579

2.692 -0.080646 -0.4106020.8179688

2.694 -0.081464 -0.40895 0.8258458

2.696 -0.082279 -0.4072820.8336886

2.698 -0.08309 -0.405599 0.8414969

2.7 -0.083898 -0.4039010.8492705

2.702 -0.084702 -0.4021870.8570089

2.704 -0.085503 -0.400458 0.864712

2.706 -0.086301 -0.3987130.8723793

2.708 -0.087094 -0.3969530.8800108

2.71 -0.087885 -0.3951780.8876059

2.712 -0.088672 -0.3933870.8951645

2.714 -0.089455 -0.3915820.9026863

2.716 -0.090234 -0.389761 0.910171

2.718 -0.09101 -0.387926 0.9176183

2.72 -0.091782 -0.3860760.9250279

2.722 -0.092551 -0.3842110.9323996

2.724 -0.093315 -0.382332 0.939733

2.726 -0.094076 -0.3804380.9470279

2.728 -0.094833 -0.378529 0.954284

2.73 -0.095587 -0.376606 0.961501

2.732 -0.096336 -0.3746690.9686788

2.734 -0.097081 -0.3727170.9758169

2.736 -0.097823 -0.3707510.9829152

2.738 -0.09856 -0.368772 0.9899733

2.74 -0.099294 -0.366778 0.996991

2.742 -0.100023 -0.36477 1.0039681

2.744 -0.100749 -0.3627481.0109043

2.746 -0.10147 -0.360712 1.0177993

2.748 -0.102188 -0.3586631.0246528

2.75 -0.102901 -0.3566 1.0314647

2.752 -0.10361 -0.354523 1.0382346

2.754 -0.104315 -0.3524341.0449624

2.756 -0.105015 -0.35033 1.0516477

2.758 -0.105712 -0.3482141.0582903

2.76 -0.106404 -0.3460841.0648899

2.762 -0.107092 -0.3439411.0714464

2.764 -0.107776 -0.3417851.07795952.766 -0.108455 -0.3396161.0844289

2.768 -0.10913 -0.337435 1.0908544

2.77 -0.1098 -0.335241.0972358

2.772 -0.110466 -0.3330331.1035728

2.774 -0.111128 -0.3308131.1098652

2.776 -0.111785 -0.3285811.1161128

2.778 -0.112438 -0.3263361.1223153

2.78 -0.113086 -0.3240791.1284725

7/21/2019 Phys273 hw3


2.782 -0.113729 -0.32181 1.1345843

2.784 -0.114368 -0.3195291.1406502

2.786 -0.115003 -0.3172361.1466703

2.788 -0.115633 -0.31493 1.1526441

2.79 -0.116258 -0.3126131.1585716

2.792 -0.116879 -0.3102841.1644524

2.794 -0.117494 -0.3079441.1702864

2.796 -0.118106 -0.3055921.1760734

2.798 -0.118712 -0.3032281.1818132

2.8 -0.119314 -0.3008531.1875055

2.802 -0.119911 -0.2984671.1931501

2.804 -0.120503 -0.2960691.1987469

2.806 -0.12109 -0.29366 1.2042956

2.808 -0.121673 -0.2912411.2097961

2.81 -0.12225 -0.28881 1.2152481

2.812 -0.122823 -0.2863691.2206515

2.814 -0.123391 -0.283917 1.226006

2.816 -0.123954 -0.2814541.2313115

2.818 -0.124512 -0.2789811.2365677

2.82 -0.125065 -0.2764981.2417746

2.822 -0.125613 -0.2740041.2469318

2.824 -0.126156 -0.2715 1.2520393

2.826 -0.126694 -0.2689861.2570968

2.828 -0.127227 -0.2664611.2621041

2.83 -0.127755 -0.2639271.2670612

2.832 -0.128277 -0.2613831.2719677

2.834 -0.128795 -0.25883 1.2768236

2.836 -0.129307 -0.2562661.2816286

2.838 -0.129815 -0.2536941.2863827

2.84 -0.130317 -0.2511121.2910855

2.842 -0.130814 -0.24852 1.295737

2.844 -0.131306 -0.245919 1.300337

2.846 -0.131793 -0.24331 1.3048854

2.848 -0.132274 -0.2406911.3093819

2.85 -0.13275 -0.238063 1.3138264

2.852 -0.133221 -0.2354271.3182188

2.854 -0.133687 -0.2327821.3225589

2.856 -0.134147 -0.2301281.3268466

2.858 -0.134602 -0.2274661.3310817

2.86 -0.135051 -0.224795 1.3352642.862 -0.135496 -0.2221161.3393935

2.864 -0.135934 -0.21943 1.3434699

2.866 -0.136368 -0.2167351.3474932

2.868 -0.136796 -0.2140321.3514632

2.87 -0.137219 -0.2113211.3553797

2.872 -0.137636 -0.2086021.3592427

2.874 -0.138048 -0.205876 1.363052

2.876 -0.138454 -0.2031431.3668074

7/21/2019 Phys273 hw3


2.878 -0.138855 -0.2004021.3705089

2.88 -0.13925 -0.197653 1.3741563

2.882 -0.13964 -0.194898 1.3777495

2.884 -0.140024 -0.1921351.3812884

2.886 -0.140403 -0.1893661.3847728

2.888 -0.140776 -0.1865891.3882026

2.89 -0.141143 -0.1838061.3915778

2.892 -0.141506 -0.1810161.3948982

2.894 -0.141862 -0.17822 1.3981636

2.896 -0.142213 -0.175417 1.401374

2.898 -0.142558 -0.1726081.4045294

2.9 -0.142898 -0.1697931.4076294

2.902 -0.143232 -0.1669721.4106742

2.904 -0.14356 -0.164144 1.4136635

2.906 -0.143882 -0.1613111.4165973

2.908 -0.144199 -0.1584721.4194755

2.91 -0.144511 -0.1556281.4222979

2.912 -0.144816 -0.1527771.4250645

2.914 -0.145116 -0.1499221.4277752

2.916 -0.14541 -0.147061 1.43043

2.918 -0.145699 -0.1441951.4330286

2.92 -0.145981 -0.1413241.4355711

2.922 -0.146258 -0.1384481.4380573

2.924 -0.146529 -0.1355671.4404872

2.926 -0.146795 -0.1326811.4428608

2.928 -0.147054 -0.1297911.4451778

2.93 -0.147308 -0.1268961.4474383

2.932 -0.147556 -0.1239961.4496421

2.934 -0.147798 -0.1210931.4517893

2.936 -0.148035 -0.1181851.4538797

2.938 -0.148265 -0.1152731.4559133

2.94 -0.14849 -0.112358 1.45789

2.942 -0.148709 -0.1094381.4598098

2.944 -0.148922 -0.1065151.4616725

2.946 -0.149129 -0.1035881.4634782

2.948 -0.14933 -0.100657 1.4652268

2.95 -0.149526 -0.0977231.4669182

2.952 -0.149715 -0.0947861.4685524

2.954 -0.149899 -0.0918461.4701293

2.956 -0.150077 -0.0889031.47164892.958 -0.150249 -0.0859561.4731111

2.96 -0.150415 -0.0830071.4745159

2.962 -0.150575 -0.0800561.4758633

2.964 -0.150729 -0.0771011.4771533

2.966 -0.150877 -0.0741451.4783857

2.968 -0.15102 -0.071185 1.4795605

2.97 -0.151156 -0.0682241.4806778

2.972 -0.151287 -0.0652611.4817375

7/21/2019 Phys273 hw3


2.974 -0.151411 -0.0622951.4827395

2.976 -0.15153 -0.059328 1.4836839

2.978 -0.151643 -0.0563591.4845706

2.98 -0.151749 -0.0533881.4853995

2.982 -0.15185 -0.050416 1.4861708

2.984 -0.151945 -0.0474421.4868843

2.986 -0.152034 -0.0444671.4875401

2.988 -0.152117 -0.04149 1.4881381

2.99 -0.152194 -0.0385131.4886783

2.992 -0.152265 -0.0355351.4891607

2.994 -0.15233 -0.032556 1.4895853

2.996 -0.152389 -0.0295761.4899522

2.998 -0.152442 -0.0265951.4902612

3 -0.15249 -0.0236141.4905124

3.002 -0.152531 -0.0206331.4907059

3.004 -0.152566 -0.0176511.4908415

3.006 -0.152596 -0.0146691.4909194

3.008 -0.152619 -0.0116871.4909394

3.01 -0.152636 -0.0087051.4909017

3.012 -0.152648 -0.0057241.4908063

3.014 -0.152653 -0.0027431.4906531

3.016 -0.152653 0.00023831.4904421

3.018 -0.152646 0.00321871.4901735

3.02 -0.152634 0.00619841.4898472

3.022 -0.152616 0.00917731.4894632

3.024 -0.152591 0.01215531.4890215

3.026 -0.152561 0.01513241.4885223

3.028 -0.152525 0.01810831.4879655

3.03 -0.152483 0.0210831.4873511

3.032 -0.152435 0.02405641.4866792

3.034 -0.152381 0.02702831.4859498

3.036 -0.152321 0.0299986 1.485163

3.038 -0.152255 0.03296721.4843187

3.04 -0.152183 0.03593411.4834171

3.042 -0.152105 0.0388991.4824582

3.044 -0.152021 0.04186191.4814419

3.046 -0.151932 0.04482261.4803685

3.048 -0.151836 0.04778111.4792378

3.05 -0.151735 0.05073721.4780501

3.052 -0.151627 0.05369081.47680523.054 -0.151514 0.05664181.4755034

3.056 -0.151395 0.05959011.4741446

3.058 -0.15127 0.06253551.4727288

3.06 -0.151139 0.0654781.4712563

3.062 -0.151002 0.06841751.4697269

3.064 -0.150859 0.07135381.4681408

3.066 -0.150711 0.07428681.4664981

3.068 -0.150556 0.07721641.4647989

7/21/2019 Phys273 hw3


3.07 -0.150396 0.08014251.4630431

3.072 -0.15023 0.08306491.4612309

3.074 -0.150058 0.08598371.4593623

3.076 -0.14988 0.08889851.4574375

3.078 -0.149696 0.09180941.4554564

3.08 -0.149507 0.09471631.4534193

3.082 -0.149312 0.09761891.4513261

3.084 -0.149111 0.1005173 1.449177

3.086 -0.148904 0.10341121.4469721

3.088 -0.148691 0.10630071.4447113

3.09 -0.148473 0.1091854 1.442395

3.092 -0.148249 0.1120655 1.440023

3.094 -0.148019 0.11494071.4375955

3.096 -0.147783 0.11781091.4351127

3.098 -0.147542 0.12067611.4325746

3.1 -0.147295 0.1235361.4299813

3.102 -0.147042 0.1263907 1.427333

3.104 -0.146784 0.12923991.4246297

3.106 -0.146519 0.13208371.4218715

3.108 -0.146249 0.13492181.4190586

3.11 -0.145974 0.1377542 1.416191

3.112 -0.145693 0.14058071.4132689

3.114 -0.145406 0.14340131.4102924

3.116 -0.145114 0.14621581.4072617

3.118 -0.144816 0.14902421.4041767

3.12 -0.144512 0.15182631.4010377

3.122 -0.144203 0.15462191.3978449

3.124 -0.143888 0.15741111.3945982

3.126 -0.143567 0.16019371.3912978

3.128 -0.143241 0.16296961.3879439

3.13 -0.14291 0.16573871.3845367

3.132 -0.142573 0.16850091.3810761

3.134 -0.142231 0.1712561.3775624

3.136 -0.141882 0.1740041.3739958

3.138 -0.141529 0.17674471.3703762

3.14 -0.14117 0.1794781 1.366704

3.142 -0.140806 0.18220411.3629792

3.144 -0.140436 0.1849225 1.359202

3.146 -0.140061 0.18763321.3553725

3.148 -0.13968 0.1903362 1.3514913.15 -0.139294 0.19303131.3475574

3.152 -0.138902 0.1957185 1.343572

3.154 -0.138506 0.1983975 1.339535

3.156 -0.138103 0.20106841.3354464

3.158 -0.137696 0.20373111.3313066

3.16 -0.137283 0.20638531.3271155

3.162 -0.136865 0.2090311.3228734

3.164 -0.136442 0.21166821.3185805

7/21/2019 Phys273 hw3


3.166 -0.136013 0.21429671.3142369

3.168 -0.135579 0.21691641.3098428

3.17 -0.13514 0.21952711.3053984

3.172 -0.134696 0.2221291.3009038

3.174 -0.134247 0.22472171.2963591

3.176 -0.133792 0.22730521.2917647

3.178 -0.133332 0.22987941.2871207

3.18 -0.132867 0.23244431.2824272

3.182 -0.132397 0.23499971.2776844

3.184 -0.131922 0.23754551.2728925

3.186 -0.131442 0.24008161.2680517

3.188 -0.130957 0.24260791.2631622

3.19 -0.130467 0.24512431.2582242

3.192 -0.129971 0.24763081.2532379

3.194 -0.129471 0.25012721.2482034

3.196 -0.128966 0.2526135 1.243121

3.198 -0.128456 0.25508941.2379909

3.2 -0.127941 0.25755511.2328132

3.202 -0.127421 0.26001021.2275881

3.204 -0.126896 0.26245491.2223159

3.206 -0.126366 0.26488891.2169968

3.208 -0.125831 0.2673121 1.211631

3.21 -0.125292 0.26972461.2062186

3.212 -0.124748 0.2721261 1.20076

3.214 -0.124199 0.27451661.1952552

3.216 -0.123645 0.2768961.1897046

3.218 -0.123086 0.27926421.1841083

3.22 -0.122523 0.28162121.1784666

3.222 -0.121955 0.28396671.1727796

3.224 -0.121382 0.28630081.1670477

3.226 -0.120805 0.28862331.1612709

3.228 -0.120223 0.29093421.1554496

3.23 -0.119637 0.2932334 1.149584

3.232 -0.119046 0.29552081.1436742

3.234 -0.11845 0.29779621.1377206

3.236 -0.11785 0.30005971.1317234

3.238 -0.117245 0.3023111.1256828

3.24 -0.116636 0.30455021.1195989

3.242 -0.116023 0.30677721.1134722

3.244 -0.115405 0.30899181.10730283.246 -0.114782 0.31119391.1010909

3.248 -0.114156 0.31338361.0948368

3.25 -0.113525 0.31556071.0885407

3.252 -0.112889 0.31772511.0822029

3.254 -0.112249 0.31987681.0758237

3.256 -0.111605 0.32201561.0694032

3.258 -0.110957 0.32414141.0629418

3.26 -0.110305 0.32625431.0564396

7/21/2019 Phys273 hw3


3.262 -0.109648 0.32835411.0498969

3.264 -0.108987 0.33044071.0433141

3.266 -0.108322 0.33251411.0366913

3.268 -0.107653 0.33457421.0300288

3.27 -0.10698 0.33662081.0233269

3.272 -0.106302 0.3386541.0165858

3.274 -0.105621 0.34067361.0098058

3.276 -0.104936 0.34267961.0029872

3.278 -0.104246 0.34467190.9961302

3.28 -0.103553 0.34665030.9892351

3.282 -0.102856 0.34861490.9823021

3.284 -0.102155 0.35056560.9753316

3.286 -0.10145 0.35250220.9683238

3.288 -0.100741 0.3544248 0.961279

3.29 -0.100028 0.35633320.9541975

3.292 -0.099312 0.35822740.9470795

3.294 -0.098591 0.36010720.9399253

3.296 -0.097867 0.36197270.9327352

3.298 -0.09714 0.36382370.9255096

3.3 -0.096408 0.36566020.9182485

3.302 -0.095673 0.36748210.9109525

3.304 -0.094935 0.36928930.9036216

3.306 -0.094193 0.37108190.8962563

3.308 -0.093447 0.37285960.8888569

3.31 -0.092698 0.37462240.8814235

3.312 -0.091945 0.37637030.8739565

3.314 -0.091189 0.37810320.8664563

3.316 -0.090429 0.3798211 0.858923

3.318 -0.089666 0.38152380.8513571

3.32 -0.0889 0.3832113 0.8437587

3.322 -0.08813 0.38488360.8361282

3.324 -0.087357 0.38654050.8284659

3.326 -0.08658 0.38818210.8207721

3.328 -0.085801 0.38980810.8130471

3.33 -0.085018 0.39141870.8052912

3.332 -0.084232 0.39301370.7975047

3.334 -0.083443 0.39459310.7896879

3.336 -0.08265 0.39615680.7818412

3.338 -0.081855 0.39770470.7739647

3.34 -0.081057 0.3992368 0.7660593.342 -0.080255 0.40075310.7581242

3.344 -0.079451 0.40225340.7501607

3.346 -0.078643 0.40373780.7421687

3.348 -0.077833 0.4052060.7341487

3.35 -0.077019 0.40665820.7261009

3.352 -0.076203 0.40809430.7180257

3.354 -0.075384 0.40951410.7099233

3.356 -0.074562 0.41091770.7017941

7/21/2019 Phys273 hw3


3.358 -0.073738 0.4123050.6936384

3.36 -0.07291 0.41367590.6854566

3.362 -0.07208 0.41503040.6772489

3.364 -0.071248 0.41636850.6690157

3.366 -0.070412 0.41769 0.6607573

3.368 -0.069574 0.41899490.6524741

3.37 -0.068734 0.42028330.6441663

3.372 -0.067891 0.42155490.6358343

3.374 -0.067045 0.42280990.6274785

3.376 -0.066197 0.42404810.6190991

3.378 -0.065346 0.42526950.6106965

3.38 -0.064493 0.4264740.6022711

3.382 -0.063638 0.42766170.5938231

3.384 -0.06278 0.4288324 0.585353

3.386 -0.06192 0.42998610.5768609

3.388 -0.061058 0.43112280.5683474

3.39 -0.060194 0.43224240.5598127

3.392 -0.059327 0.43334490.5512571

3.394 -0.058458 0.43443030.5426811

3.396 -0.057587 0.43549840.5340849

3.398 -0.056714 0.43654940.5254689

3.4 -0.055839 0.43758310.5168334

3.402 -0.054962 0.43859940.5081788

3.404 -0.054082 0.43959840.4995054

3.406 -0.053201 0.44058010.4908136

3.408 -0.052318 0.44154430.4821037

3.41 -0.051433 0.4424910.4733761

3.412 -0.050546 0.44342030.4646311

3.414 -0.049658 0.444332 0.455869

3.416 -0.048767 0.44522620.4470903

3.418 -0.047875 0.44610280.4382952

3.42 -0.046981 0.44696170.4294842

3.422 -0.046086 0.44780310.4206575

3.424 -0.045188 0.44862670.4118155

3.426 -0.044289 0.44943260.4029587

3.428 -0.043389 0.45022080.3940872

3.43 -0.042487 0.45099120.3852015

3.432 -0.041583 0.4517438 0.376302

3.434 -0.040679 0.4524786 0.367389

3.436 -0.039772 0.45319550.35846293.438 -0.038864 0.45389450.3495239

3.44 -0.037955 0.45457570.3405725

3.442 -0.037045 0.45523890.3316091

3.444 -0.036133 0.45588420.3226339

3.446 -0.03522 0.45651150.3136474

3.448 -0.034306 0.4571208 0.30465

3.45 -0.03339 0.45771210.2956418

3.452 -0.032474 0.45828530.2866234

7/21/2019 Phys273 hw3


3.454 -0.031556 0.45884050.2775952

3.456 -0.030637 0.45937760.2685573

3.458 -0.029717 0.45989660.2595103

3.46 -0.028797 0.46039750.2504545

3.462 -0.027875 0.46088030.2413902

3.464 -0.026952 0.4613450.2323178

3.466 -0.026029 0.46179140.2232377

3.468 -0.025104 0.46221970.2141502

3.47 -0.024179 0.46262980.2050557

3.472 -0.023253 0.46302170.1959546

3.474 -0.022326 0.46339540.1868472

3.476 -0.021399 0.46375090.1777339

3.478 -0.02047 0.46408810.1686151

3.48 -0.019542 0.46440710.1594911

3.482 -0.018612 0.46470780.1503623

3.484 -0.017682 0.4649903 0.141229

3.486 -0.016752 0.46525450.1320917

3.488 -0.015821 0.46550040.1229506

3.49 -0.014889 0.4657280.1138063

3.492 -0.013957 0.46593730.1046589

3.494 -0.013025 0.46612830.0955089

3.496 -0.012093 0.46630110.0863567

3.498 -0.01116 0.46645550.0772027

3.5 -0.010226 0.46659160.0680471

3.502 -0.009293 0.46670930.0588904

3.504 -0.008359 0.46680880.0497329

3.506 -0.007426 0.4668899 0.040575

3.508 -0.006492 0.4669528 0.031417

3.51 -0.005558 0.46699730.0222594

3.512 -0.004624 0.46702350.0131025

3.514 -0.00369 0.46703140.0039466

3.516 -0.002756 0.467021 -0.005208

3.518 -0.001822 0.4669923 -0.01436

3.52 -0.000888 0.4669452 -0.023511

3.522 4.61!-005 0.4668799 -0.032659

3.524 0.0009797 0.4667963 -0.041804

3.526 0.0019131 0.4666944 -0.050946

3.528 0.0028462 0.4665743 -0.060084

3.53 0.0037791 0.4664358 -0.069218

3.532 0.0047117 0.4662791 -0.0783483.534 0.0056439 0.4661042 -0.087473

3.536 0.0065757 0.465911 -0.096593

3.538 0.0075071 0.4656996 -0.105708

3.54 0.008438 0.4654699 -0.114816

3.542 0.0093685 0.4652221 -0.123919

3.544 0.0102984 0.4649561 -0.133015

3.546 0.0112277 0.4646719 -0.142104

3.548 0.0121565 0.4643695 -0.151186

7/21/2019 Phys273 hw3


3.55 0.0130846 0.464049 -0.16026

3.552 0.014012 0.4637103 -0.169327

3.554 0.0149387 0.4633536 -0.178384

3.556 0.0158646 0.4629787 -0.187434

3.558 0.0167898 0.4625857 -0.196474

3.56 0.0177142 0.4621747 -0.205504

3.562 0.0186377 0.4617457 -0.214525

3.564 0.0195603 0.4612986 -0.223536

3.566 0.0204819 0.4608335 -0.232536

3.568 0.0214026 0.4603505 -0.241526

3.57 0.0223223 0.4598495 -0.250504

3.572 0.023241 0.4593305 -0.25947

3.574 0.0241586 0.4587937 -0.268425

3.576 0.0250751 0.458239 -0.277367

3.578 0.0259904 0.4576664 -0.286297

3.58 0.0269045 0.4570759 -0.295213

3.582 0.0278175 0.4564677 -0.304117

3.584 0.0287292 0.4558417 -0.313006

3.586 0.0296395 0.4551979 -0.321882

3.588 0.0305486 0.4545364 -0.330743

3.59 0.0314563 0.4538573 -0.339589

3.592 0.0323627 0.4531604 -0.34842

3.594 0.0332675 0.4524459 -0.357236

3.596 0.034171 0.4517139 -0.366036

3.598 0.0350729 0.4509642 -0.374819

3.6 0.0359733 0.4501971 -0.383587

3.602 0.0368721 0.4494124 -0.392337

3.604 0.0377693 0.4486103 -0.40107

3.606 0.0386649 0.4477907 -0.409786

3.608 0.0395588 0.4469537 -0.418483

3.61 0.040451 0.4460994 -0.427163

3.612 0.0413415 0.4452277 -0.435824

3.614 0.0422302 0.4443388 -0.444466

3.616 0.043117 0.4434326 -0.453088

3.618 0.044002 0.4425093 -0.461691

3.62 0.0448852 0.4415687 -0.470275

3.622 0.0457664 0.440611 -0.478838

3.624 0.0466457 0.4396363 -0.48738

3.626 0.047523 0.4386445 -0.495901

3.628 0.0483982 0.4376357 -0.5044013.63 0.0492715 0.4366099 -0.51288

3.632 0.0501426 0.4355672 -0.521336

3.634 0.0510116 0.4345077 -0.52977

3.636 0.0518785 0.4334313 -0.538182

3.638 0.0527432 0.4323382 -0.546571

3.64 0.0536056 0.4312283 -0.554936

3.642 0.0544658 0.4301018 -0.563278

3.644 0.0553237 0.4289586 -0.571596

7/21/2019 Phys273 hw3


3.646 0.0561793 0.4277988 -0.579889

3.648 0.0570326 0.4266225 -0.588159

3.65 0.0578834 0.4254297 -0.596403

3.652 0.0587319 0.4242204 -0.604622

3.654 0.0595779 0.4229948 -0.612815

3.656 0.0604214 0.4217528 -0.620983

3.658 0.0612624 0.4204946 -0.629124

3.66 0.0621008 0.4192201 -0.637239

3.662 0.0629367 0.4179294 -0.645328

3.664 0.0637699 0.4166227 -0.653389

3.666 0.0646005 0.4152998 -0.661422

3.668 0.0654284 0.413961 -0.669428

3.67 0.0662536 0.4126061 -0.677406

3.672 0.0670761 0.4112354 -0.685356

3.674 0.0678958 0.4098489 -0.693277

3.676 0.0687127 0.4084465 -0.701169

3.678 0.0695268 0.4070285 -0.709031

3.68 0.0703379 0.4055948 -0.716864

3.682 0.0711462 0.4041454 -0.724668

3.684 0.0719516 0.4026805 -0.732441

3.686 0.072754 0.4012002 -0.740183

3.688 0.0735534 0.3997044 -0.747895

3.69 0.0743498 0.3981932 -0.755576

3.692 0.0751431 0.3966668 -0.763225

3.694 0.0759334 0.3951251 -0.770843

3.696 0.0767205 0.3935682 -0.778429

3.698 0.0775045 0.3919963 -0.785983

3.7 0.0782853 0.3904093 -0.793504

3.702 0.0790629 0.3888073 -0.800992

3.704 0.0798373 0.3871904 -0.808447

3.706 0.0806084 0.3855586 -0.815869

3.708 0.0813763 0.3839121 -0.823257

3.71 0.0821408 0.3822509 -0.830611

3.712 0.0829019 0.380575 -0.837931

3.714 0.0836597 0.3788846 -0.845216

3.716 0.084414 0.3771797 -0.852467

3.718 0.085165 0.3754603 -0.859683

3.72 0.0859124 0.3737266 -0.866863

3.722 0.0866564 0.3719786 -0.874008

3.724 0.0873968 0.3702163 -0.8811173.726 0.0881337 0.36844 -0.888189

3.728 0.088867 0.3666495 -0.895226

3.73 0.0895967 0.3648451 -0.902225

3.732 0.0903227 0.3630267 -0.909188

3.734 0.0910451 0.3611945 -0.916113

3.736 0.0917638 0.3593485 -0.923001

3.738 0.0924788 0.3574888 -0.929852

3.74 0.09319 0.3556154 -0.936664

7/21/2019 Phys273 hw3


7/21/2019 Phys273 hw3


3.838 0.1229271 0.2488429 -1.21907

3.84 0.1234199 0.2463955 -1.223694

3.842 0.1239078 0.243939 -1.22827

3.844 0.1243907 0.2414734 -1.232797

3.846 0.1248687 0.2389988 -1.237275

3.848 0.1253417 0.2365154 -1.241704

3.85 0.1258098 0.2340233 -1.246084

3.852 0.1262728 0.2315224 -1.250414

3.854 0.1267309 0.2290131 -1.254694

3.856 0.1271839 0.2264952 -1.258925

3.858 0.1276318 0.223969 -1.263105

3.86 0.1280747 0.2214345 -1.267236

3.862 0.1285124 0.2188919 -1.271316

3.864 0.1289451 0.2163412 -1.275346

3.866 0.1293727 0.2137825 -1.279325

3.868 0.1297951 0.211216 -1.283254

3.87 0.1302124 0.2086418 -1.287131

3.872 0.1306245 0.2060599 -1.290958

3.874 0.1310315 0.2034704 -1.294734

3.876 0.1314332 0.2008735 -1.298459

3.878 0.1318298 0.1982692 -1.302132

3.88 0.1322211 0.1956577 -1.305754

3.882 0.1326071 0.1930391 -1.309324

3.884 0.132988 0.1904134 -1.312842

3.886 0.1333635 0.1877808 -1.316309

3.888 0.1337338 0.1851413 -1.319724

3.89 0.1340988 0.1824951 -1.323087

3.892 0.1344585 0.1798423 -1.326397

3.894 0.1348129 0.177183 -1.329655

3.896 0.1351619 0.1745173 -1.332861

3.898 0.1355056 0.1718453 -1.336014

3.9 0.1358439 0.169167 -1.339115

3.902 0.1361769 0.1664827 -1.342163

3.904 0.1365045 0.1637924 -1.345158

3.906 0.1368267 0.1610962 -1.348101

3.908 0.1371434 0.1583942 -1.35099

3.91 0.1374548 0.1556866 -1.353826

3.912 0.1377608 0.1529734 -1.356609

3.914 0.1380613 0.1502547 -1.359338

3.916 0.1383563 0.1475306 -1.3620153.918 0.1386459 0.1448014 -1.364637

3.92 0.1389301 0.142067 -1.367207

3.922 0.1392087 0.1393275 -1.369722

3.924 0.1394819 0.1365831 -1.372184

3.926 0.1397496 0.133834 -1.374592

3.928 0.1400117 0.1310801 -1.376946

3.93 0.1402684 0.1283216 -1.379246

3.932 0.1405195 0.1255586 -1.381492

7/21/2019 Phys273 hw3


3.934 0.1407651 0.1227912 -1.383684

3.936 0.1410051 0.1200196 -1.385822

3.938 0.1412396 0.1172438 -1.387906

3.94 0.1414685 0.1144639 -1.389935

3.942 0.1416919 0.1116801 -1.39191

3.944 0.1419097 0.1088924 -1.39383

3.946 0.1421219 0.106101 -1.395696

3.948 0.1423285 0.103306 -1.397508

3.95 0.1425295 0.1005075 -1.399265

3.952 0.1427249 0.0977055 -1.400967

3.954 0.1429147 0.0949003 -1.402614

3.956 0.1430989 0.0920919 -1.404207

3.958 0.1432775 0.0892804 -1.405745

3.96 0.1434504 0.086466 -1.407228

3.962 0.1436177 0.0836487 -1.408656

3.964 0.1437793 0.0808286 -1.410029

3.966 0.1439354 0.0780059 -1.411347

3.968 0.1440857 0.0751807 -1.41261

3.97 0.1442304 0.072353 -1.413818

3.972 0.1443695 0.0695231 -1.414971

3.974 0.1445028 0.066691 -1.416069

3.976 0.1446306 0.0638567 -1.417112

3.978 0.1447526 0.0610205 -1.418099

3.98 0.144869 0.0581825 -1.419031

3.982 0.1449797 0.0553427 -1.419908

3.984 0.1450847 0.0525012 -1.42073

3.986 0.145184 0.0496582 -1.421497

3.988 0.1452776 0.0468138 -1.422208

3.99 0.1453655 0.0439681 -1.422864

3.992 0.1454478 0.0411211 -1.423465

3.994 0.1455243 0.0382731 -1.42401

3.996 0.1455952 0.0354241 -1.4245

3.998 0.1456603 0.0325742 -1.424935

4 0.1457198 0.0297236 -1.425314

4.002 0.1457735 0.0268723 -1.425638

4.004 0.1458216 0.0240205 -1.425906

4.006 0.1458639 0.0211683 -1.42612

4.008 0.1459005 0.0183157 -1.426277

4.01 0.1459314 0.015463 -1.42638

4.012 0.1459567 0.0126101 -1.4264274.014 0.1459762 0.0097573 -1.426419

4.016 0.14599 0.0069046 -1.426356

4.018 0.1459981 0.0040521 -1.426237

4.02 0.1460005 0.0012 -1.426063

4.022 0.1459972 -0.001652 -1.425833

4.024 0.1459882 -0.004503 -1.425549

4.026 0.1459735 -0.007353 -1.425209

4.028 0.1459531 -0.010203 -1.424814

7/21/2019 Phys273 hw3


4.03 0.145927 -0.013052 -1.424364

4.032 0.1458952 -0.015899 -1.423858

4.034 0.1458577 -0.018746 -1.423298

4.036 0.1458145 -0.021591 -1.422682

4.038 0.1457656 -0.024435 -1.422011

4.04 0.1457111 -0.027278 -1.421286

4.042 0.1456508 -0.030119 -1.420505

4.044 0.1455849 -0.032958 -1.419669

4.046 0.1455133 -0.035796 -1.418778

4.048 0.1454361 -0.038631 -1.417833

4.05 0.1453531 -0.041465 -1.416833

4.052 0.1452645 -0.044297 -1.415777

4.054 0.1451703 -0.047126 -1.414668

4.056 0.1450704 -0.049953 -1.413503

4.058 0.1449648 -0.052778 -1.412284

4.060.1448536 -0.0556 -1.41101

4.062 0.1447368 -0.058419 -1.409682

4.064 0.1446143 -0.061236 -1.408299

4.066 0.1444862 -0.064049 -1.406862

4.068 0.1443525 -0.06686 -1.40537

4.07 0.1442132 -0.069668 -1.403825

4.072 0.1440682 -0.072472 -1.402225

4.074 0.1439177 -0.075273 -1.400571

4.076 0.1437615 -0.078071 -1.398862

4.078 0.1435998 -0.080865 -1.3971

4.08 0.1434325 -0.083656 -1.395284

4.082 0.1432596 -0.086443 -1.393414

4.084 0.1430812 -0.089226 -1.39149

4.086 0.1428971 -0.092005 -1.389513

4.088 0.1427076 -0.09478 -1.387482

4.09 0.1425125 -0.09755 -1.385397

4.092 0.1423119 -0.100317 -1.383259

4.094 0.1421057 -0.103079 -1.381068

4.096 0.141894 -0.105837 -1.378824

4.098 0.1416768 -0.10859 -1.376526

4.1 0.1414542 -0.111338 -1.374175

4.102 0.141226 -0.114082 -1.371771

4.104 0.1409924 -0.11682 -1.369314

4.106 0.1407533 -0.119554 -1.366805

4.108 0.1405087 -0.122282 -1.3642434.11 0.1402587 -0.125006 -1.361628

4.112 0.1400032 -0.127723 -1.358961

4.114 0.1397424 -0.130436 -1.356241

4.116 0.1394761 -0.133143 -1.353469

4.118 0.1392044 -0.135844 -1.350645

4.12 0.1389273 -0.13854 -1.347769

4.122 0.1386448 -0.141229 -1.344842

4.124 0.138357 -0.143913 -1.341862

7/21/2019 Phys273 hw3


4.126 0.1380638 -0.146591 -1.33883

4.128 0.1377653 -0.149262 -1.335747

4.13 0.1374615 -0.151927 -1.332613

4.132 0.1371523 -0.154586 -1.329427

4.134 0.1368378 -0.157239 -1.326191

4.136 0.136518 -0.159885 -1.322903

4.138 0.136193 -0.162524 -1.319564

4.14 0.1358627 -0.165156 -1.316174

4.142 0.1355271 -0.167781 -1.312734

4.144 0.1351863 -0.1704 -1.309243

4.146 0.1348403 -0.173011 -1.305702

4.148 0.1344891 -0.175616 -1.30211

4.15 0.1341326 -0.178213 -1.298469

4.152 0.133771 -0.180802 -1.294777

4.154 0.1334043 -0.183384 -1.291036

4.156 0.1330323 -0.185959 -1.287245

4.158 0.1326553 -0.188525 -1.283404

4.16 0.1322731 -0.191084 -1.279514

4.162 0.1318859 -0.193636 -1.275575

4.164 0.1314935 -0.196179 -1.271587

4.166 0.1310961 -0.198714 -1.26755

4.168 0.1306936 -0.201241 -1.263464

4.17 0.1302861 -0.203759 -1.25933

4.172 0.1298735 -0.20627 -1.255147

4.174 0.129456 -0.208772 -1.250916

4.176 0.1290335 -0.211265 -1.246637

4.178 0.128606 -0.21375 -1.24231

4.18 0.1281735 -0.216225 -1.237935

4.182 0.1277361 -0.218692 -1.233513

4.184 0.1272938 -0.22115 -1.229043

4.186 0.1268466 -0.2236 -1.224526

4.188 0.1263945 -0.226039 -1.219961

4.19 0.1259376 -0.22847 -1.21535

4.192 0.1254758 -0.230892 -1.210693

4.194 0.1250092 -0.233304 -1.205989

4.196 0.1245378 -0.235706 -1.201238

4.198 0.1240616 -0.238099 -1.196441

4.2 0.1235806 -0.240482 -1.191599

4.202 0.1230949 -0.242856 -1.18671

4.204 0.1226045 -0.245219 -1.1817764.206 0.1221093 -0.247573 -1.176797

4.208 0.1216095 -0.249916 -1.171772

4.21 0.121105 -0.25225 -1.166702

4.212 0.1205959 -0.254573 -1.161588

4.214 0.1200821 -0.256886 -1.156429

4.216 0.1195637 -0.259188 -1.151226

4.218 0.1190408 -0.26148 -1.145978

4.22 0.1185132 -0.263761 -1.140687

7/21/2019 Phys273 hw3


4.222 0.1179812 -0.266032 -1.135351

4.224 0.1174446 -0.268292 -1.129972

4.226 0.1169035 -0.270541 -1.12455

4.228 0.116358 -0.272779 -1.119084

4.23 0.1158079 -0.275006 -1.113576

4.232 0.1152535 -0.277223 -1.108025

4.234 0.1146946 -0.279427 -1.102431

4.236 0.1141314 -0.281621 -1.096795

4.238 0.1135638 -0.283803 -1.091117

4.24 0.1129918 -0.285974 -1.085398

4.242 0.1124156 -0.288133 -1.079636

4.244 0.111835 -0.290281 -1.073833

4.246 0.1112502 -0.292417 -1.067989

4.248 0.1106611 -0.294541 -1.062104

4.25 0.1100678 -0.296654 -1.056179

4.252 0.1094703 -0.298754 -1.050213

4.254 0.1088686 -0.300842 -1.044206

4.256 0.1082628 -0.302919 -1.03816

4.258 0.1076528 -0.304983 -1.032074

4.26 0.1070387 -0.307035 -1.025948

4.262 0.1064206 -0.309074 -1.019783

4.264 0.1057984 -0.311101 -1.013579

4.266 0.1051721 -0.313116 -1.007336

4.268 0.1045419 -0.315118 -1.001055

4.27 0.1039077 -0.317108 -0.994735

4.272 0.1032695 -0.319084 -0.988377

4.274 0.1026274 -0.321048 -0.981982

4.276 0.1019814 -0.322999 -0.975548

4.278 0.1013315 -0.324938 -0.969078

4.28 0.1006778 -0.326863 -0.96257

4.282 0.1000203 -0.328775 -0.956026

4.284 0.0993589 -0.330674 -0.949445

4.286 0.0986938 -0.332559 -0.942828

4.288 0.0980249 -0.334432 -0.936175

4.29 0.0973524 -0.336291 -0.929486

4.292 0.0966761 -0.338136 -0.922761

4.294 0.0959962 -0.339968 -0.916001

4.296 0.0953126 -0.341787 -0.909207

4.298 0.0946254 -0.343591 -0.902377

4.3 0.0939346 -0.345382 -0.8955134.302 0.0932403 -0.34716 -0.888615

4.304 0.0925425 -0.348923 -0.881683

4.306 0.0918411 -0.350672 -0.874718

4.308 0.0911363 -0.352408 -0.867719

4.31 0.090428 -0.354129 -0.860687

4.312 0.0897164 -0.355837 -0.853622

4.314 0.0890013 -0.35753 -0.846525

4.316 0.0882829 -0.359208 -0.839395

7/21/2019 Phys273 hw3


4.318 0.0875612 -0.360873 -0.832233

4.32 0.0868361 -0.362523 -0.82504

4.322 0.0861078 -0.364159 -0.817816

4.324 0.0853762 -0.36578 -0.81056

4.326 0.0846415 -0.367386 -0.803273

4.328 0.0839035 -0.368978 -0.795956

4.33 0.0831624 -0.370555 -0.788609

4.332 0.0824182 -0.372118 -0.781232

4.334 0.0816708 -0.373665 -0.773825

4.336 0.0809204 -0.375198 -0.766389

4.338 0.080167 -0.376716 -0.758923

4.34 0.0794106 -0.378219 -0.751429

4.342 0.0786511 -0.379707 -0.743906

4.344 0.0778888 -0.381179 -0.736356

4.346 0.0771235 -0.382637 -0.728777

4.348 0.0763554 -0.384079 -0.721171

4.35 0.0755843 -0.385506 -0.713537

4.352 0.0748105 -0.386918 -0.705877

4.354 0.0740339 -0.388315 -0.698189

4.356 0.0732545 -0.389696 -0.690476

4.358 0.0724724 -0.391061 -0.682736

4.36 0.0716875 -0.392411 -0.674971

4.362 0.0709001 -0.393745 -0.66718

4.364 0.0701099 -0.395064 -0.659364

4.366 0.0693172 -0.396367 -0.651523

4.368 0.0685219 -0.397654 -0.643658

4.37 0.067724 -0.398926 -0.635768

4.372 0.0669237 -0.400182 -0.627855

4.374 0.0661208 -0.401421 -0.619918

4.376 0.0653155 -0.402645 -0.611958

4.378 0.0645078 -0.403853 -0.603974

4.38 0.0636977 -0.405045 -0.595968

4.382 0.0628853 -0.406221 -0.58794

4.384 0.0620705 -0.407381 -0.57989

4.386 0.0612535 -0.408525 -0.571818

4.388 0.0604342 -0.409652 -0.563725

4.39 0.0596127 -0.410763 -0.555611

4.392 0.0587889 -0.411858 -0.547476

4.394 0.0579631 -0.412937 -0.539321

4.396 0.0571351 -0.413999 -0.5311464.398 0.056305 -0.415045 -0.522951

4.4 0.0554728 -0.416074 -0.514736

4.402 0.0546386 -0.417087 -0.506503

4.404 0.0538025 -0.418084 -0.49825

4.406 0.0529644 -0.419064 -0.48998

4.408 0.0521243 -0.420027 -0.481691

4.41 0.0512823 -0.420974 -0.473384

4.412 0.0504385 -0.421904 -0.46506

7/21/2019 Phys273 hw3


4.414 0.0495929 -0.422818 -0.456719

4.416 0.0487455 -0.423714 -0.448362

4.418 0.0478963 -0.424594 -0.439988

4.42 0.0470454 -0.425458 -0.431597

4.422 0.0461928 -0.426304 -0.423191

4.424 0.0453385 -0.427133 -0.41477

4.426 0.0444826 -0.427946 -0.406333

4.428 0.0436251 -0.428742 -0.397882

4.43 0.0427661 -0.429521 -0.389416

4.432 0.0419055 -0.430283 -0.380937

4.434 0.0410435 -0.431027 -0.372443

4.436 0.04018 -0.431755 -0.363936

4.438 0.039315 -0.432466 -0.355416

4.44 0.0384487 -0.43316 -0.346884

4.442 0.037581 -0.433837 -0.338339

4.444 0.036712 -0.434496 -0.329782

4.446 0.0358418 -0.435139 -0.321213

4.448 0.0349702 -0.435764 -0.312633

4.45 0.0340975 -0.436372 -0.304042

4.452 0.0332236 -0.436963 -0.295441

4.454 0.0323485 -0.437537 -0.286829

4.456 0.0314723 -0.438093 -0.278207

4.458 0.030595 -0.438632 -0.269575

4.46 0.0297167 -0.439154 -0.260934

4.462 0.0288374 -0.439659 -0.252285

4.464 0.0279571 -0.440146 -0.243626

4.466 0.0270759 -0.440616 -0.23496

4.468 0.0261938 -0.441068 -0.226285

4.47 0.0253107 -0.441503 -0.217603

4.472 0.0244269 -0.441921 -0.208914

4.474 0.0235423 -0.442322 -0.200218

4.476 0.0226568 -0.442705 -0.191516

4.478 0.0217707 -0.44307 -0.182807

4.48 0.0208839 -0.443419 -0.174093

4.482 0.0199964 -0.443749 -0.165373

4.484 0.0191082 -0.444063 -0.156648

4.486 0.0182195 -0.444358 -0.147918

4.488 0.0173303 -0.444637 -0.139184

4.49 0.0164405 -0.444898 -0.130446

4.492 0.0155502 -0.445141 -0.1217044.494 0.0146594 -0.445367 -0.112959

4.496 0.0137683 -0.445575 -0.104211

4.498 0.0128768 -0.445766 -0.09546

4.50.0119849 -0.44594 -0.086707

4.502 0.0110927 -0.446096 -0.077951

4.504 0.0102002 -0.446234 -0.069195

4.506 0.0093075 -0.446355 -0.060437

4.508 0.0084146 -0.446458 -0.051678

7/21/2019 Phys273 hw3


4.51 0.0075215 -0.446544 -0.042919

4.512 0.0066283 -0.446612 -0.034159

4.514 0.005735 -0.446663 -0.0254

4.516 0.0048416 -0.446697 -0.016641

4.518 0.0039481 -0.446712 -0.007883

4.52 0.0030547 -0.4467110.0008743

4.522 0.0021613 -0.4466910.0096296

4.524 0.001268 -0.446655 0.018383

4.526 0.0003748 -0.4466 0.0271342

4.528 -0.000518 -0.4465280.0358828

4.53 -0.001411 -0.4464390.0446284

4.532 -0.002304 -0.4463330.0533707

4.534 -0.003196 -0.4462080.0621093

4.536 -0.004088 -0.4460670.0708439

4.538 -0.00498 -0.445907 0.0795742

4.54 -0.005872 -0.4457310.0882998

4.542 -0.006763 -0.4455370.0970204

4.544 -0.007653 -0.4453250.1057356

4.546 -0.008544 -0.445096 0.114445

4.548 -0.009433 -0.44485 0.1231483

4.55 -0.010322 -0.4445860.1318452

4.552 -0.011211 -0.4443050.1405353

4.554 -0.012099 -0.4440070.1492183

4.556 -0.012986 -0.4436910.1578938

4.558 -0.013873 -0.4433580.1665615

4.56 -0.014759 -0.443008 0.175221

4.562 -0.015644 -0.44264 0.1838721

4.564 -0.016529 -0.4422550.1925142

4.566 -0.017413 -0.4418530.2011472

4.568 -0.018295 -0.4414330.2097706

4.57 -0.019177 -0.4409960.2183842

4.572 -0.020059 -0.4405420.2269875

4.574 -0.020939 -0.4400710.2355803

4.576 -0.021818 -0.4395830.2441621

4.578 -0.022696 -0.4390770.2527327

4.58 -0.023573 -0.4385550.2612917

4.582 -0.024449 -0.4380150.2698388

4.584 -0.025324 -0.4374580.2783736

4.586 -0.026198 -0.4368840.2868958

4.588 -0.02707 -0.436294 0.29540514.59 -0.027942 -0.4356860.3039011

4.592 -0.028812 -0.4350610.3123835

4.594 -0.029681 -0.4344190.3208519

4.596 -0.030548 -0.4337610.3293061

4.598 -0.031414 -0.4330850.3377456

4.6 -0.032279 -0.4323930.3461701

4.602 -0.033143 -0.4316840.3545794

4.604 -0.034005 -0.4309580.3629731

7/21/2019 Phys273 hw3


4.606 -0.034865 -0.4302150.3713508

4.608 -0.035724 -0.4294560.3797122

4.61 -0.036581 -0.42868 0.3880571

4.612 -0.037437 -0.427887 0.396385

4.614 -0.038291 -0.4270770.4046956

4.616 -0.039144 -0.4262510.4129886

4.618 -0.039994 -0.4254090.4212637

4.62 -0.040844 -0.42455 0.4295206

4.622 -0.041691 -0.4236740.4377589

4.624 -0.042537 -0.4227820.4459783

4.626 -0.04338 -0.421874 0.4541785

4.628 -0.044222 -0.4209490.4623591

4.63 -0.045062 -0.4200080.4705199

4.632 -0.0459 -0.4190510.4786605

4.634 -0.046736 -0.4180770.4867806

4.636 -0.047571 -0.4170880.4948799

4.638 -0.048403 -0.4160820.5029581

4.64 -0.049233 -0.41506 0.5110148

4.642 -0.050061 -0.4140220.5190498

4.644 -0.050887 -0.4129680.5270627

4.646 -0.051711 -0.4118970.5350531

4.648 -0.052532 -0.4108110.5430209

4.65 -0.053352 -0.4097090.5509657

4.652 -0.054169 -0.4085920.5588872

4.654 -0.054984 -0.407458 0.566785

4.656 -0.055796 -0.4063090.5746589

4.658 -0.056607 -0.4051440.5825085

4.66 -0.057415 -0.4039630.5903336

4.662 -0.05822 -0.402767 0.5981338

4.664 -0.059023 -0.4015550.6059089

4.666 -0.059824 -0.4003280.6136586

4.668 -0.060622 -0.3990850.6213824

4.67 -0.061418 -0.3978270.6290802

4.672 -0.062211 -0.3965530.6367517

4.674 -0.063001 -0.3952640.6443965

4.676 -0.063789 -0.39396 0.6520143

4.678 -0.064575 -0.392641 0.659605

4.68 -0.065357 -0.391307 0.667168

4.682 -0.066137 -0.3899570.6747033

4.684 -0.066914 -0.3885930.68221044.686 -0.067689 -0.3872140.6896892

4.688 -0.06846 -0.385819 0.6971392

4.69 -0.069229 -0.38441 0.7045602

4.692 -0.069995 -0.382986 0.711952

4.694 -0.070758 -0.3815480.7193143

4.696 -0.071518 -0.3800940.7266467

4.698 -0.072276 -0.3786270.7339489

4.7 -0.07303 -0.3771440.7412208

7/21/2019 Phys273 hw3


4.702 -0.073781 -0.3756470.7484621

4.704 -0.07453 -0.374136 0.7556723

4.706 -0.075275 -0.37261 0.7628514

4.708 -0.076017 -0.37107 0.7699989

4.71 -0.076756 -0.3695160.7771147

4.712 -0.077492 -0.3679480.7841984

4.714 -0.078225 -0.3663650.7912499

4.716 -0.078954 -0.3647680.7982687

4.718 -0.07968 -0.363158 0.8052547

4.72 -0.080403 -0.3615340.8122076

4.722 -0.081123 -0.3598950.8191271

4.724 -0.08184 -0.358243 0.8260129

4.726 -0.082553 -0.3565780.8328649

4.728 -0.083263 -0.3548980.8396826

4.73 -0.083969 -0.353205 0.846466

4.732 -0.084672 -0.3514990.8532147

4.734 -0.085372 -0.3497790.8599285

4.736 -0.086068 -0.348046 0.866607

4.738 -0.08676 -0.346299 0.8732502

4.74 -0.087449 -0.34454 0.8798576

4.742 -0.088135 -0.3427670.8864291

4.744 -0.088817 -0.3409810.8929645

4.746 -0.089495 -0.3391820.8994634

4.748 -0.09017 -0.33737 0.9059256

4.75 -0.090841 -0.3355450.9123509

4.752 -0.091509 -0.333708 0.918739

4.754 -0.092172 -0.3318580.9250898

4.756 -0.092832 -0.3299950.9314029

4.758 -0.093489 -0.3281190.9376782

4.76 -0.094141 -0.3262320.9439153

4.762 -0.09479 -0.324331 0.9501141

4.764 -0.095434 -0.3224190.9562744

4.766 -0.096075 -0.3204940.9623958

4.768 -0.096713 -0.3185570.9684783

4.77 -0.097346 -0.3166080.9745214

4.772 -0.097975 -0.3146470.9805251

4.774 -0.0986 -0.3126740.9864891

4.776 -0.099222 -0.3106890.9924132

4.778 -0.099839 -0.3086930.9982972

4.78 -0.100453 -0.3066841.00414084.782 -0.101062 -0.3046641.0099438

4.784 -0.101667 -0.302633 1.015706

4.786 -0.102268 -0.30059 1.0214273

4.788 -0.102865 -0.2985361.0271073

4.79 -0.103458 -0.29647 1.0327459

4.792 -0.104047 -0.2943941.0383429

4.794 -0.104632 -0.292306 1.043898

4.796 -0.105212 -0.2902071.0494111

7/21/2019 Phys273 hw3


4.798 -0.105788 -0.288097 1.054882

4.8 -0.10636 -0.2859771.0603105

4.802 -0.106928 -0.2838451.0656963

4.804 -0.107491 -0.2817031.0710393

4.806 -0.108051 -0.2795511.0763392

4.808 -0.108605 -0.277387 1.081596

4.81 -0.109156 -0.2752141.0868093

4.812 -0.109702 -0.27303 1.091979

4.814 -0.110243 -0.270836 1.097105

4.816 -0.110781 -0.2686311.1021869

4.818 -0.111314 -0.2664171.1072247

4.82 -0.111842 -0.2641921.1122182

4.822 -0.112366 -0.2619581.1171672

4.824 -0.112885 -0.2597141.1220714

4.826 -0.1134 -0.257461.1269308

4.828 -0.113911 -0.2551971.1317451

4.83 -0.114416 -0.2529241.1365142

4.832 -0.114918 -0.2506411.1412379

4.834 -0.115414 -0.2483491.1459161

4.836 -0.115907 -0.2460481.1505485

4.838 -0.116394 -0.243738 1.155135

4.84 -0.116877 -0.2414191.1596754

4.842 -0.117355 -0.23909 1.1641697

4.844 -0.117829 -0.2367531.1686175

4.846 -0.118297 -0.2344071.1730188

4.848 -0.118761 -0.2320521.1773734

4.85 -0.119221 -0.2296891.1816811

4.852 -0.119675 -0.2273171.1859419

4.854 -0.120125 -0.2249371.1901555

4.856 -0.12057 -0.222548 1.1943217

4.858 -0.121011 -0.2201511.1984406

4.86 -0.121446 -0.2177461.2025118

4.862 -0.121877 -0.2153331.2065353

4.864 -0.122303 -0.2129121.2105109

4.866 -0.122724 -0.2104831.2144385

4.868 -0.12314 -0.208046 1.2183179

4.87 -0.123551 -0.205602 1.222149

4.872 -0.123957 -0.20315 1.2259317

4.874 -0.124359 -0.2006911.2296658

4.876 -0.124755 -0.1982241.23335124.878 -0.125147 -0.19575 1.2369879

4.88 -0.125533 -0.1932691.2405755

4.882 -0.125915 -0.1907811.2441141

4.884 -0.126291 -0.1882861.2476035

4.886 -0.126663 -0.1857841.2510436

4.888 -0.127029 -0.1832751.2544343

4.89 -0.127391 -0.1807591.2577754

4.892 -0.127747 -0.1782371.2610668

7/21/2019 Phys273 hw3


4.894 -0.128099 -0.1757081.2643085

4.896 -0.128445 -0.1731731.2675003

4.898 -0.128786 -0.1706321.2706421

4.9 -0.129123 -0.1680851.2737338

4.902 -0.129454 -0.1655311.2767752

4.904 -0.12978 -0.162972 1.2797664

4.906 -0.1301 -0.1604061.2827071

4.908 -0.130416 -0.1578351.2855974

4.91 -0.130727 -0.155258 1.288437

4.912 -0.131032 -0.1526761.2912259

4.914 -0.131332 -0.150088 1.293964

4.916 -0.131627 -0.1474941.2966513

4.918 -0.131917 -0.1448961.2992875

4.92 -0.132201 -0.1422921.3018727

4.922 -0.132481 -0.1396831.3044067

4.924 -0.132755 -0.13707 1.3068895

4.926 -0.133024 -0.134451 1.309321

4.928 -0.133288 -0.131827 1.311701

4.93 -0.133546 -0.1291991.3140296

4.932 -0.133799 -0.1265671.3163067

4.934 -0.134047 -0.12393 1.3185321

4.936 -0.134289 -0.1212881.3207058

4.938 -0.134527 -0.1186431.3228277

4.94 -0.134759 -0.1159931.3248978

4.942 -0.134985 -0.113339 1.326916

4.944 -0.135207 -0.1106811.3288822

4.946 -0.135423 -0.10802 1.3307964

4.948 -0.135634 -0.1053541.3326585

4.95 -0.135839 -0.1026851.3344684

4.952 -0.136039 -0.1000131.3362261

4.954 -0.136234 -0.0973371.3379316

4.956 -0.136423 -0.0946581.3395848

4.958 -0.136607 -0.0919761.3411855

4.96 -0.136785 -0.08929 1.3427339

4.962 -0.136959 -0.0866021.3442298

4.964 -0.137126 -0.08391 1.3456732

4.966 -0.137289 -0.0812161.3470641

4.968 -0.137446 -0.0785191.3484023

4.97 -0.137598 -0.07582 1.3496879

4.972 -0.137744 -0.0731181.35092094.974 -0.137885 -0.0704141.3521011

4.976 -0.13802 -0.067707 1.3532286

4.978 -0.13815 -0.064999 1.3543034

4.98 -0.138275 -0.0622881.3553253

4.982 -0.138394 -0.0595761.3562945

4.984 -0.138508 -0.0568611.3572107

4.986 -0.138616 -0.0541451.3580741

4.988 -0.138719 -0.0514271.3588846

7/21/2019 Phys273 hw3


4.99 -0.138816 -0.0487081.3596422

4.992 -0.138908 -0.0459871.3603469

4.994 -0.138995 -0.0432651.3609986

4.996 -0.139076 -0.0405421.3615973

4.998 -0.139151 -0.037818 1.362143

5 -0.139221 -0.035093 1.3626358

7/21/2019 Phys273 hw3


sition

$osition

7/21/2019 Phys273 hw3


phys273 hw3

Documents