tuesday, october 1...week 1 solutions math 31al written by victoria kala, [email protected]...

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Week 1 Solutions Math 31AL Written by Victoria Kala, [email protected] Tuesday, October 1 Thursday, October 3 511 7 16 7 3X X 412 1 7 614 57 24 30 513 57 36 1 1211 6 7 311 11 8 4x 24 30 24 30 15 25 15 3 X 7 311 3 8 0 0 25 3 7 8 nosoµ infinitelymmydolutions nosoeu 2 5 2 3 31 1 53 2 100211 3 122x 8lb 11514 3668 16 5 3 3 13 5 3 2 211 5 112 86 18 4 6624 16 nosolutionf 2 2 3 12 8b 112 66 40 infinitelymonydelation 26 52 b Xz 3 20 2 2 52 4 0 30 2 8 116 0 r2 her 135 0 a 16C 15 0 X211 11 0 6 41611 0 41 4141 41 0 r Alr57 0 Cc111651 0 x z 4 X412 0 r 7 c l m2 110M 19 0 70 2 49 0 2 2 4 0 m264 0 1003 2 12 0 mtg Cm 111 0 1 7111710 2222 0 Cm 87cm 181 0 31 2 41 0 m 9 m X z_ m 8 m 34214 121 0 x d 2d o s2 s o 1302 2 5 20 y2 8y 120 150 2 30 0 did 21 0 scs13 0 4 ya 8y 20 0 1 614155 0 d o d s 4 y lolly 121 0 11 6,11 50 21 1 41 2 0 y l0 y XLIX 1 21217 0 X221 0 X 2X 2 2 7 5Sx XCX 21 35 2 2 5 12 0 1122 35 7.2 4 112 2 35 0 a 14 1 71 155 0 2 2 11 4 20 11 7,11 50 2 11 1212 111 0 Xt2K2XHKO 2x

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Page 1: Tuesday, October 1...Week 1 Solutions Math 31AL Written by Victoria Kala, vtkala@math.ucla.edu Tuesday, October 1 Thursday, October 3 511 7 16 73X X41217 6145724 30 513 57 36 1 1211

Week 1 SolutionsMath 31ALWritten by Victoria Kala, [email protected], October 1 Thursday, October 3

511 7 16 7 3X X4121 7 614 57 24 30 513 57 36 11211 6 7311 11 8 4x 24 30 24 30 15 25 15 3X 7311 3 8 0 0 25 3

7 8nosoµ

infinitelymmydolutions nosoeu

2 5 2 3 31 1 5 3 2 100211 3 122x 8lb115143668 165 3 3135 3 2 211 5112 8618 4 662416

nosolutionf 2 2 3 12 8b112 66 40infinitelymonydelation 26 52

b

Xz3 2 0 22 524 0 30 2 8 116 0 r2her135 0 a16C15 0X21111 0 6 41611 0 41414141 0 r Alr57 0 Cc111651 0x z 4 X4120 r 7 c l

m2110M190 70 249 0 224 0 m264 0 10032 12 0mtgCm111 0 1 7111710 2 2 2 2 0 Cm87cm1810 312 41 0m 9m X z_ m 8m 34214121 0

x

d 2d o s2s o 13022 5 2 0 y28y120 150 2 30 0did21 0 scs13 0 4 ya8y20 0 1 6141550d od s 4 ylolly1210 116,1150

211 412 0 y l0 yXLIX1 21217 0X2 2 1 0X2 X

22 7 5Sx XCX21 352 2 5 12 0 1122 357.24 1122 35 0a14 1 71 1550

2 211 4 2 0 117,115021112121110Xt2K2XHKO2 x

Page 2: Tuesday, October 1...Week 1 Solutions Math 31AL Written by Victoria Kala, vtkala@math.ucla.edu Tuesday, October 1 Thursday, October 3 511 7 16 73X X41217 6145724 30 513 57 36 1 1211

I IIIEa Ii T 7 7 7

x

ax1,45541 4IF 4 T 411 20 4 36 4tzty ft.LI

X l X

xaIYI.EE i 3 3 I2 4 1 0 X tt

l.FIH4It8 H4I9 7 I I Ia 2 b i c I

3 2 5 2 0 X 51 5352 5726524 5161 5 561 61 3a 3b S c2 5 61 1 Zsameasprevious

axLYFE X6 r 9 61236136 6121061,1 f 3

1724411 X 4 Fj4KTI 4t.gr 4tgro 4to g1 I x

X11011 252110 1250 X lotl T 101 100 102110 10 5 Xa l b lo 025

100 21 124 12 0 X l i k 48 1119 11272 y

L 3a lb I c 12 21 4a X3x42X2442240 11 212,471247 21242967 21 21,102 2121 82 4a l b2,024 2 6

X2X12X x2 0 X ltT It 1119 1123 121 1 2a lb I c 2 3 1

130 218612 618 0 X 6I6 4 6173632 612168 611473 612213 3 rBa I b6c 8 X3trz3 r22 to X2 2 X 10 0 X IIF.io lIyt8oT Hz Hy9yHy9tyoEa2bt c to yd 2 x_E

150 29 0 X o o aT 01,16 021 13gam bO c 9 X3 x 3

Page 3: Tuesday, October 1...Week 1 Solutions Math 31AL Written by Victoria Kala, vtkala@math.ucla.edu Tuesday, October 1 Thursday, October 3 511 7 16 73X X41217 6145724 30 513 57 36 1 1211

20 81140 linear 6172181411 linear 215 4 314137 43 linear

8440 42 12 3218 10 8 12 9 431011 20 2 17 43

211 26x x

404441511 quadratic 32118 81 quadratic 32 5 5 quadratiX 15 44 0 32118 810 32 5 5 0 a3,3 5,0 5X111147 0 312 6 2710 X 5 tI s 51725601111,40 311934370 213 6

X q 51 85 x t

11 5 7 53 linear 613115404739 linear 4 33 49 linear4 5 53 18 65020 39 4X 164X 48 2 5639 11640x 4 17

x

100721 311 quadrate 913 13 815 6 linear 15 1216 quadratic

7 2 3 1 0 a7b 3c I 27 9 40148 11215 160X 3tE4 3 13 39 411611 11 0

UH 14 X x31 37 x 3t 3T

130 218 12 quadratic 9141716171107 54 linear 44202x linear11218 12 0 a1,68,012 36 6342 60 54 24 2xX 8 T i 8164748 6 3 54 1

2 6 578t 81,116.7 8141 x

241257 x 4tzr7x 4

160421281611 quadrahi 328 61116 quadrate 1807612 101315 linear

4216 128 0 32 7 0 4211430 504124 3270 Xbox770 121 3641 874141 0 110,117130X