Download - Metodos busca y biseccion
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a b [a,b] f(a)
1 -10 -9 [-10,-9] 8.904621005909140
2 -9 -8 [-9,-8] 2.301526640444130
3 -8 -7 -2.214453511664650
4 -7 -6 -1.989058805835090
5 -6 -5 1.4504418508774806 -5 -4 3.800004992105650
7 -4 -3 1.936465067247260
8 -3 -2 -3.210557682572140
9 -2 -1 -7.512907961576460
10 -1 0 -7.438906199462180
11 0 1 -3.300000000000000
12 1 2 1.035903698628690
13 2 3 1.700867908205010
14 3 4 -1.616645425905180
15 4 5 -5.38510849035033016 5 6 -5.476580571229480
17 6 7 -0.961720981822837
18 7 8 5.035957402456520
19 8 9 8.211992543881740
20 9 10 7.038621528286600
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f(b) f(a)*f(b) c mentari
2.301526640444130 20.494222468158300No existe raiz en [a,b]
-2.214453511664650 -5.096623751121250Existe una raiz en el intervalo [a,b]
-1.989058805835090 4.404678257489010No existe raiz en [a,b]
1.450441850877480 -2.885014135839590Existe una raiz en el intervalo [a,b]
3.800004992105650 5.511686274093380No existe raiz en [a,b]1.936465067247260 7.358576922577800No existe raiz en [a,b]
-3.210557682572140 -6.217132798683260Existe una raiz en el intervalo [a,b]
-7.512907961576460 24.120624374496700No existe raiz en [a,b]
-7.438906199462180 55.887817611359900No existe raiz en [a,b]
-3.300000000000000 24.548390458225200No existe raiz en [a,b]
1.035903698628690 -3.418482205474690Existe una raiz en el intervalo [a,b]
1.700867908205010 1.761935356988430No existe raiz en [a,b]
-1.616645425905180 -2.749700323868550Existe una raiz en el intervalo [a,b]
-5.385108490350330 8.705811008928010No existe raiz en [a,b]
-5.476580571229480 29.491980532215600No existe raiz en [a,b]-0.961720981822837 5.266942443994690No existe raiz en [a,b]
5.035957402456520 -4.843185897508470Existe una raiz en el intervalo [a,b]
8.211992543881740 41.355244640279000No existe raiz en [a,b]
7.038621528286600 57.801107509495100No existe raiz en [a,b]
4.169530613201720 29.347747936931600No existe raiz en [a,b]
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Iter a b
1 -9 -8.000
2 -9 -8.500
3 -8.75 -8.500000000000000
4 -8.625 -8.500000000000000
5 -8.625 -8.562500000000000
6 -8.625 -8.593750000000000
7 -8.609375 -8.593750000000000
8 -8.6015625 -8.593750000000000
9 -8.59765625 -8.593750000000000
10 -8.59765625 -8.595703125000000
11 -8.59765625 -8.596679687500000
12 -8.59716796875 -8.596679687500000
13 -8.59716796875 -8.596923828125000
14 -8.5970458984375 -8.596923828125000
15 -8.5970458984375 -8.596984863281250
16 -8.59701538085938 -8.596984863281250
17 -8.597015380859380 -8.597000122070310
18 -8.597015380859380 -8.597007751464840
19 -8.597011566162110 -8.597007751464840
20 -8.597009658813480 -8.597007751464840
21 -8.597009658813480 -8.597008705139160
22 -8.597009181976320 -8.597008705139160
23 -8.597008943557740 -8.597008705139160
24 -8.597008943557740 -8.597008824348450
Iter a b
1 -7 -6.000
2 -7 -6.000
3 -7 -6.250
4 -7 -6.375
5 -6 -6.375
6 -6 -6.375
7 -6 -6.375
8 -6 -6.383
9 -6 -6.383
10 -6 -6.385
11 -6 -6.385
12 -6 -6.385
13 -6 -6.385
14 -6 -6.385
15 -6 -6.385
16 -6 -6.385
17 -6 -6.385
18 -6 -6.385
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19 -6 -6.385
20 -6 -6.385
21 -6 -6.385
22 -6 -6.385
23 -6 -6.385
24 -6 -6.385
Iter a b
1 -4 -3.000
2 -4 -3.500
3 -4 -3.500
4 -4 -3.500
5 -4 -3.563
6 -4 -3.563
7 -4 -3.578
8 -4 -3.578
9 -4 -3.582
10 -4 -3.584
11 -4 -3.584
12 -4 -3.584
13 -4 -3.585
14 -4 -3.585
15 -4 -3.585
16 -4 -3.585
17 -4 -3.585
18 -4 -3.585
19 -4 -3.585
20 -4 -3.585
21 -4 -3.585
22 -4 -3.585
23 -4 -3.585
24 -4 -3.585
25 -4 -3.585
Iter a b
1 0 1.000
2 1 1.000
3 1 0.750
4 1 0.750
5 1 0.750
6 1 0.719
7 1 0.703
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8 1 0.703
9 1 0.703
10 1 0.703
11 1 0.703
12 1 0.703
13 1 0.703
14 1 0.703
15 1 0.702
16 1 0.702
17 1 0.702
18 1 0.702
19 1 0.702
20 1 0.702
21 1 0.702
22 1 0.702
23 1 0.702
24 1 0.702
25 1 0.702
26 1 0.702
27 1 0.702
28 1 0.702
Iter a b
1 6 7.000
2 6 6.500
3 6 6.250
4 6 6.250
5 6 6.188
6 6 6.188
7 6 6.172
8 6 6.164
9 6 6.160
10 6 6.158
11 6 6.157
12 6 6.157
13 6 6.157
14 6 6.157
15 6 6.157
16 6 6.157
17 6 6.157
18 6 6.157
19 6 6.157
20 6 6.157
21 6 6.157
22 6 6.157
23 6 6.157
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24 6 6.157
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c f(a) f( c )
-8.500 2.301526640444130 -0.469329618695249
-8.750 2.301526640444130 0.812967643038909
-8.625000000000000 0.812967643038909 0.142332819078731
-8.562500000000000 0.142332819078731 -0.171288117424738
-8.593750000000000 0.142332819078731 -0.016374982199780
-8.609375000000000 0.142332819078731 0.062511042536252
-8.601562500000000 0.062511042536252 0.022950245461544
-8.597656250000000 0.022950245461544 0.003258084232146
-8.595703125000000 0.003258084232146 -0.006565848439487
-8.596679687500000 0.003258084232146 -0.001655730393933
-8.597167968750000 0.003258084232146 0.000800715043431
-8.596923828125000 0.000800715043431 -0.000427623168790
-8.597045898437500 0.000800715043431 0.000186517067014
-8.596984863281250 0.000186517067014 -0.000120560268849
-8.597015380859380 0.000186517067014 0.000032976594640
-8.597000122070310 0.000032976594640 -0.000043792288221
-8.597007751464840 0.000032976594640 -0.000005407959569
-8.597011566162110 0.000032976594640 0.000013784289340
-8.597009658813480 0.000013784289340 0.000004188157837
-8.597008705139160 0.000004188157837 -0.000000609902628
-8.597009181976320 0.000004188157837 0.000001789127164
-8.597008943557740 0.000001789127164 0.000000589612157
-8.597008824348450 0.000000589612157 -0.000000010145263
-8.597008883953090 0.000000589612157 0.000000289733441
c f(a) f( c )
-6.500 -1.989058805835090 -0.425262189143246
-6.250 -0.425262189143246 0.511672295508117
-6.375 -0.425262189143246 0.038110077946981
-6.438 -0.425262189143246 -0.195456043658222
-6.406 -0.195456043658222 -0.079067528030265
-6.391 -0.079067528030265 -0.020567893807964
-6.383 -0.020567893807964 0.008749985193194
-6.387 -0.020567893807964 -0.005914379267207
-6.385 -0.005914379267207 0.001416465248555
-6.386 -0.005914379267207 -0.002249293753917
-6.385 -0.002249293753917 -0.000416498149349
-6.385 -0.000416498149349 0.000499962611623
-6.385 -0.000416498149349 0.000041726992118
-6.385 -0.000416498149349 -0.000187386888935
-6.385 -0.000187386888935 -0.000072830275918
-6.385 -0.000072830275918 -0.000015551723768
-6.385 -0.000015551723768 0.000013087613709
-6.385 -0.000015551723768 -0.000001232060146
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-6.385 -0.000001232060146 0.000005927775502
-6.385 -0.000001232060146 0.000002347857358
-6.385 -0.000001232060146 0.000000557898526
-6.385 -0.000001232060146 -0.000000337080830
-6.385 -0.000000337080830 0.000000110408843
-6.385 -0.000000337080830 -0.000000113335996
c f(a) f( c )
-3.500 1.936465067247260 -0.446804126129878
-3.750 1.936465067247260 0.827559169326258
-3.625 0.827559169326258 0.206981273862207
-3.563 0.206981273862207 -0.116304858089762
-3.594 0.206981273862207 0.046309230843540
-3.578 0.046309230843540 -0.034763652818700
-3.586 0.046309230843540 0.005832408617233
-3.582 0.005832408617233 -0.014450851815830
-3.584 0.005832408617233 -0.004305512181536
-3.585 0.005832408617233 0.000764377676407
-3.584 0.000764377676407 -0.001770335150863
-3.585 0.000764377676407 -0.000502920678931
-3.585 0.000764377676407 0.000130743017421
-3.585 0.000130743017421 -0.000186085201598
-3.585 0.000130743017421 -0.000027670184735
-3.585 0.000130743017421 0.000051536643189
-3.585 0.000051536643189 0.000011933285938
-3.585 0.000011933285938 -0.000007868435222
-3.585 0.000011933285938 0.000002032428903
-3.585 0.000002032428903 -0.000002918002273
-3.585 0.000002032428903 -0.000000442786463
-3.585 0.000002032428903 0.000000794821275
-3.585 0.000000794821275 0.000000176017420
-3.585 0.000000176017420 -0.000000133384519
-3.585 0.000000176017420 0.000000021316451
c f(a) f( c )
0.500 -3.300000000000000 -0.863241134329199
0.750 -0.863241134329199 0.186120754218105
0.625 -0.863241134329199 -0.317275054141732
0.688 -0.317275054141732 -0.059766987198787
0.719 -0.059766987198787 0.064687989969861
0.703 -0.059766987198787 0.002831076810403
0.695 -0.059766987198787 -0.028376222121487
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0.699 -0.028376222121487 -0.012749525070270
0.701 -0.012749525070270 -0.004953447984859
0.702 -0.004953447984859 -0.001059739772428
0.703 -0.001059739772428 0.000886030194843
0.702 -0.001059739772428 -0.000086764397591
0.703 -0.000086764397591 0.000399655499897
0.702 -0.000086764397591 0.000156451201037
0.702 -0.000086764397591 0.000034844814140
0.702 -0.000086764397591 -0.000025959438628
0.702 -0.000025959438628 0.000004442776031
0.702 -0.000025959438628 -0.000010758309230
0.702 -0.000010758309230 -0.000003157761082
0.702 -0.000003157761082 0.000000642508854
0.702 -0.000003157761082 -0.000001257625769
0.702 -0.000001257625769 -0.000000307558372
0.702 -0.000000307558372 0.000000167475263
0.702 -0.000000307558372 -0.000000070041549
0.702 -0.000000070041549 0.000000048716858
0.702 -0.000000070041549 -0.000000010662345
0.702 -0.000000010662345 0.000000019027257
0.702 -0.000000010662345 0.000000004182456
c f(a) f( c )
6.500 -0.961720981822837 2.143986207410770
6.250 -0.961720981822837 0.579775488706519
6.125 -0.961720981822837 -0.198667911578471
6.188 -0.198667911578471 0.189233621611549
6.156 -0.198667911578471 -0.005123053728295
6.172 -0.005123053728295 0.091963270600363
6.164 -0.005123053728295 0.043395920700504
6.160 -0.005123053728295 0.019130238619301
6.158 -0.005123053728295 0.007002025244876
6.157 -0.005123053728295 0.000939091648135
6.157 -0.005123053728295 -0.002092079856337
6.157 -0.002092079856337 -0.000576518772077
6.157 -0.000576518772077 0.000181280275547
6.157 -0.000576518772077 -0.000197620789450
6.157 -0.000197620789450 -0.000008170642178
6.157 -0.000008170642177 0.000086554720387
6.157 -0.000008170642178 0.000039192015030
6.157 -0.000008170642178 0.000015510680407
6.157 -0.000008170642177 0.000003670017610
6.157 -0.000008170642178 -0.000002250312660
6.157 -0.000002250312660 0.000000709852381
6.157 -0.000002250312660 -0.000000770230163
6.157 -0.000000770230163 -0.000000030188896
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6.157 -0.000000030188896 0.000000339831741
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f(a)*f( c ) Error Relativo
-1.080174620576600 0.058823529411765
1.871066688273120 0.028571428571429
0.115711976453519 0.014492753623188
-0.024379920627752 0.007299270072993
-0.002330697378859 0.003636363636364
0.008897372907735 0.001814882032668
0.001434643770264 0.000908265213442
0.000074773832862 0.000454338936847
-0.000021392087271 0.000227221086117
-0.000005394509089 0.000113597637169
0.000002608797057 0.000056795592662
-0.000000342404304 0.000028398602789
0.000000149347021 0.000014199099777
-0.000000022486548 0.000007099600293
0.000000006150698 0.000003549787545
-0.000000001444121 0.000001774896923
-0.000000000178336 0.000000887447674
0.000000000454559 0.000000443723640
0.000000000057731 0.000000221861869
-0.000000000002554 0.000000110930947
0.000000000007493 0.000000055465470
0.000000000001055 0.000000027732736
-0.000000000000006 0.000000013866368
0.000000000000171 0.000000006933184
f(a)*f( c ) Error Relativo
0.845871502104080 0.076923076923077
-0.217594880511732 0.040000000000000
-0.016206775176153 0.019607843137255
0.083120065007374 0.009708737864078
0.015454226210631 0.004878048780488
0.001626252520185 0.002444987775061
-0.000179968766275 0.001223990208078
0.000121646324708 0.000611620795107
-0.000008377512699 0.000305903946161
0.000013303176344 0.000152928582352
0.000000936826686 0.000076470138411
-0.000000208233502 0.000038236531182
-0.000000017379215 0.000019117900090
0.000000078046292 0.000009558858672
0.000000013647439 0.000004779452179
0.000000001132636 0.000002389731800
-0.000000000203535 0.000001194867328
0.000000000019161 0.000000597433307
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-0.000000000007303 0.000000298716743
-0.000000000002893 0.000000149358349
-0.000000000000687 0.000000074679169
0.000000000000415 0.000000037339583
-0.000000000000037 0.000000018669792
0.000000000000038 0.000000009334896
f(a)*f( c ) Error Relativo
-0.865220582152447 0.142857142857143
1.602539422480460 0.066666666666667
0.171289251063499 0.034482758620690
-0.024072927683782 0.017543859649123
0.009585143591575 0.008695652173913
-0.001609878023346 0.004366812227074
0.000270094357029 0.002178649237473
-0.000084283272657 0.001090512540894
-0.000025111506349 0.000544959128065
0.000004458162947 0.000272405339145
-0.000001353204669 0.000136221223267
-0.000000384421340 0.000068105972894
0.000000099937044 0.000034051826881
-0.000000024329341 0.000017026203327
-0.000000003617683 0.000008513029191
0.000000006738056 0.000004256496478
0.000000000615001 0.000002128252768
-0.000000000093896 0.000001064127517
0.000000000024254 0.000000532063475
-0.000000000005931 0.000000266031808
-0.000000000000900 0.000000133015886
0.000000000001615 0.000000066507939
0.000000000000140 0.000000033253971
-0.000000000000023 0.000000016626986
0.000000000000004 0.000000008313493
f(a)*f( c ) Error Relativo
2.848695743286360 1.000000000000000
-0.160667090993443 0.333333333333333
0.273884877631666 0.200000000000000
0.018962574099383 0.090909090909091
-0.003866206268444 0.043478260869565
-0.000169204931486 0.022222222222222
0.001695961304285 0.011235955056180
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0.000361783355337 0.005586592178771
0.000063154109267 0.002785515320334
0.000005249365840 0.001390820584145
-0.000000938961437 0.000694927032662
0.000000091947683 0.000347584289190
-0.000000034675869 0.000173761946134
-0.000000013574394 0.000086888522026
-0.000000003023289 0.000043446148499
0.000000002252355 0.000021723546152
-0.000000000115332 0.000010861655099
0.000000000279280 0.000005430857044
0.000000000033972 0.000002715421148
-0.000000000002029 0.000001357708731
0.000000000003971 0.000000678854826
0.000000000000387 0.000000339427298
-0.000000000000052 0.000000169713620
0.000000000000022 0.000000084856817
-0.000000000000003 0.000000042428407
0.000000000000001 0.000000021214204
0.000000000000000 0.000000010607102
0.000000000000000 0.000000005303551
f(a)*f( c ) Error Relativo
-2.061916520405710 0.076923076923077
-0.557582252235648 0.040000000000000
0.191063098979940 0.020408163265306
-0.037594648405997 0.010101010101010
0.001017786385105 0.005076142131980
-0.000471132776315 0.002531645569620
-0.000222319633338 0.001267427122940
-0.000098005240282 0.000634115409004
-0.000035871751536 0.000317158261973
-0.000004811016969 0.000158604282316
0.000010717837508 0.000079308430486
0.000001206123310 0.000039652642849
-0.000000104511482 0.000019825928349
0.000000113932095 0.000009913062442
0.000000001614689 0.000004956506654
-0.000000000707208 0.000002478247185
-0.000000000320224 0.000001239125128
-0.000000000126732 0.000000619562948
-0.000000000029986 0.000000309781570
0.000000000018386 0.000000154890809
-0.000000000001597 0.000000077445398
0.000000000001733 0.000000038722701
0.000000000000023 0.000000019361350
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-0.000000000000010 0.000000009680675
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Comentario
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
-8.597008883953090
Comentario
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
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ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
-6.385142982006070
Comentario
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
-3.584813684225080
Comentario
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
-
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ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
0.702414352446795
Comentario
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
ontinue !on la s"te iter
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6.157075345516210