Exercicios resolvidos James Stewart vol. 2 7ª ed - ingles

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84 0 CHAPTER 11 INFINITE SEQUENCES AND SERIES 9. 11. 13. 15. n 0 1 2 3 4 n 0 1 2 3 4 n 0 1 2 3 4 5 6 n 0 1 2 3 (o) = f (n)(x) J (n) (0) { 1 so sinhx= I: ( ifn is odd 2 _ ) 1 • n=o n+1. sinh x 0 x2n+l Use the Ratio Test to find R. If an = ( )I, then cosh x 1 2n + 1 . sinhx 0 r I cosh x 1 sinhx 0 = 0 < 1 for all x, so R = oo. J Cnl(x) J(nl (l) x 4 - 3x 2 4 t :!012 Cengnge Lc:unin~ . All Rights Rcscn1:d. ~ tay not be SCnMCd. copk-d. or duplicat<strong>ed</strong>, or postct.l loa publicly ncccs.~i blc wcbsilt:, in whole or in part.
SECTION 11.10 TAYLOR AND MACLAURIN SERIES 0 85 . lan+l l r l( - lt+2(x~2)"+ 1 n2" 1- li l(- l)(x-2)n,_ r . ( n) lx-21 J~ ~ = n~ (n + 1) 2n+l . ( - 1)"+ 1 (x- 2)" - ,._n;., (n + 1)2 - ":~ n + 1 - 2- = lx - 2 1 < 1 for convergence, so lx - 21 < 2 and R = 2. 2 17. n t
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- STUDENT SOLUTIONS MANUAL for STEW
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.. BROOKS/COLE ~ I ~~r CENGAGE Lear
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D ABBREVIATIONS AND SYMBOLS CD cu D
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viii o CONTENTS 12.4 The Cross Prod
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10 D PARAMETRIC EQUATIONS AND POLAR
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SECTION 10.1 CURVES DEFINED BY PARA
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SECTION 10.1 CURVES DEFINED BY PARA
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SECTION 10.2 CALCULUS WITH PARAMETR
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SECTION 10.3 POLAR COORDINATES 0 13
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SECTION 10 .~ POLAR COORDINATES 0 1
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SECTION 10.4 A~~S AND LENGTHS IN PO
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SECTION 10.4 AREAS AND LENGTHS IN P
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SECTION 10.4 AREAS AND LENGTHS IN P
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SECTION 10.5 CONIC SECTIONS 0 27 5.
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SECTION 10.5 CONIC SECTIONS 0 29 35
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x2 y2 y2 a:2 _ a2 b 61. ;_2 - - = 1
Page 41 and 42: SECTION 10.6 CONIC SECTIONS IN POLA
Page 43 and 44: CHAPTER 10 REVIEW 0 35 the length o
Page 45 and 46: CHAPTER 10 REVIEW 0 37 EXERCISES 1.
Page 47 and 48: CHAPTER 10 REVIEW 0 39 25. x = t +
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Page 51 and 52: 0 PROBLEMS PLUS l lt sin u dx cost
Page 53 and 54: 11 . D INFINITE SEQUENCES AND SERIE
Page 55 and 56: SECTION 11.1 SEQUENCES 0 47 35. a,.
Page 57 and 58: SECTION 11.1 SEQUENCES D 49 71. Sin
Page 59 and 60: SECTION 11.2 SERIES 0 51 ak+l- a1.:
Page 61 and 62: SECTION 11.2 SERIES 0 53 13. n s.,
Page 63 and 64: SECTION 11.2 SERIES 0 55 47. F~r th
Page 65 and 66: . . (1+ c)- 2 scn es and set 1t equ
Page 67 and 68: SECTION 11.3 THE INTEGRAL TEST AND
Page 69 and 70: , SECTION 11.3 THE INTEGRAL TEST AN
Page 71 and 72: SECTION 11.4 THE COMPARISON TESTS D
Page 73 and 74: SECTION 11.5 ALTERNATING SERIES 0 6
Page 75 and 76: SECTION 11.5 ALTERNATING SERIES D 6
Page 77 and 78: SECTION 11.6 ABSOLUTE CONVERGENCE A
Page 79 and 80: SECTION 11.6 ABSOLUTE CONVERGENCE A
Page 81 and 82: 17 lim I an+l I= SECTION 11.7 STRAT
Page 83 and 84: SECTION 11.8 POWER SERIES 0 75 l 00
Page 85 and 86: SECTION 11.8 POWER SERIES 0 n (b) I
Page 87 and 88: SECTION 11.9 REPRESENTATIONS OF FUN
Page 89 and 90: SECTION 11.9 REPRESENTATIONS OF FUN
Page 91: SECTION 11.10 TAYLOR AND MACLAURIN
Page 95 and 96: SECTION 11.10 TAYLOR AND MACLAURIN
Page 97 and 98: 61 _ x_ x · sin x - x- tx 3 + 1~
Page 99 and 100: SECTION 11.11 APPLICATIONS OF TAYLO
Page 105 and 106: CHAPTER 11 REVIEW 0 97 J'(xn)(xn -
Page 107 and 108: CHAPTER 11 REVIEW 0 99 oo f (n) (O)
Page 109 and 110: CHAPTER 11 REVIEW 0 101 l 23. Consi
Page 111 and 112: 49./- 1 - dx = -ln{4- x) + C and 4-
Page 113 and 114: D PROBLEMS PLUS 1. It would be far
Page 115 and 116: CHAPTER 11 PROBLEMS PLUS D 107 l 9.
Page 117 and 118: CHAPTER 11 PROBLEMS PLUS 0 109 x x
Page 119 and 120: 112 0 CHAPTER 12 VECTORS AND THE GE
Page 127 and 128: 120 D CHAPTER 12 VECTORS AND THE GE
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136 D CHA~TER 12 VECTORS AND THE GE
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138 D CHAPTER 12 VECTORS AND THE GE
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144 0 CHAPTER 12 VECTORS AND THE GE
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D PROBLEMS PLUS 1. Since three-dime
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l CHAPTER 12 PROBLEMS PLUS 0 149 Eq
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13 D VECTOR FUNCTIONS 13.1 Vector F
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SECTION 13.1 VECTOR FUNCTIONS AND S
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SECTION 13.1 VECTOR FUNCTIONS AND S
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SECTION 13.2 DERIVATIVES AND INTEGR
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SECTION 13.2 DERIVATIVES AND INTEGR
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SECTION 13.3 ARC LENGTH AND CURVATU
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SECTION 13.4 MOTION IN SPACE: VELOC
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2 SECTION 13.4 MOTION IN SPACE: VEL
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CHAPTER 13 REVIEW D 173 43. The tan
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5. f~(t 2 i +tcos 1rtj +sin 1rt k )
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CHAPTER 13 REVIEW 0 177 23. (a) r (
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180 0 CHAPTER 13 PROBLEMS PLUS (-2a
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182 0 CHAPTER 13 PROBLEMS PLUS vect
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184 0 CHAPTER 14 PARTIAL DERIVATIVE
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196 D CHAPTER 14 PARTIAL DERIVATIVE
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D PROBLEMS PLUS 1. The areas of the
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15 D MULTIPLE INTEGRALS 15.1 Double
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SECTION 15.2 ITERATED INTEGRALS D 2
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l SECTION 15.3 DOUBLE INTEGRALS OVE
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SECTION 15.3 DOUBLE INTEGRALS OVER
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SECTION 15.3 DOUBLE INTEGRALS OVER
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61 . Since m :S j(x, y) :S M, ffD m
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SECTION 15.4 DOUBLE INTEGRALS IN PO
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SECTION 15.5 APPLICATIONS OF DOUBLE
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SECTION 15.5 APPLICATIONS OF DOUBLE
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SECTION 1505 APPLICATIONS OF DOUBLE
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-I SECTION 15.6 SURFACE AREA 0 267
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SECTION 15.7 TRIPLE INTEGRALS 0 269
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SECTION 15.7 TRIPLE INTEGRALS D 271
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Therefore E = { (x, y, z) I -2 ~ X~
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43. I,. = foL foL foL k(y2 + z2)dz.
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SECTION 15.8 TRIPLE INTEGRALS IN CY
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M xv = I~1f I: I:2 6 - 3 r 2 (zK) r
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SECTION 15.9 TRIPLE INTEGRALS IN SP
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SECTION 15.9 TRIPLE INTEGRALS IN SP
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(b) The wedge in question is the sh
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SECTION 15.10 CHANGE OF VARIABLES I
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CHAPTER 15 REVIEW 0 289 15 Review C
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CHAPTER 15 REVIEW 0 291 l 9. The vo
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CHAPTER 15 REVIEW D 293 33. Using t
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49. Since u = x- y and v = x + y, x
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298 D CHAPTER 15 PROBLEMS PLUS To e
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300 0 CHAPTER 15 PROBLEMS PLUS 13.
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16 0 VECTOR CALCULUS 16.1 Vector Fi
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SECTION 16.2 LINE INTEGRALS 0 305 2
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SECTION 16.2 LINE INTEGRALS 0 307 (
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SECTION 16.2 LINE INTEGRALS D 309 3
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SECTION 16.3 THE FUNDAMENTAL THEORE
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SECTION 16.4 GREEN'S THEOREM D 313
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SECTION 16.4 GREEN'S THEOREM 0 315
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8 8 8 (b)clivF = 'V ·iF=- (x+yz) +
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SECTION 16.5 CURL AND DIVERGENCE 0
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SECTION 16.6 PARAMETRIC SURFACES AN
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that is, D = {( x, y) I x 2 + y 2 :
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SECTION 16.7 SURFACE INTEGRALS 0 32
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SECTION 16.7 SURFACE INTEGRALS 0 33
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SECTION 16.8 STOKES' THEOREM 0 333
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dS SECTION 16.9 THE DIVERGENCE THEO
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CHAPTER 16 REVIEW 0 337 27. JI 5 cu
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CHAPTER 16 REVIEW 0 339 TRUE-FALSE
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CHAPTER 16 REVIEW D 341 Alternate s
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344 0 CHAPTER 16 PROBLEMS PLUS Simi
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3.c6 0 CHAPTER 17 SECOND-ORDER DIFF
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348 0 CHAPTER 17 SECOND-ORDER DIFFE
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352 D CHAPTER 17 SECOND-ORDER DIFFE
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356 D CHAPTER 17 SECOND-ORDER DIFFE
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0 APPENDIX Appendix H Complex Numbe
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APPENDIX H COMPLEX NUMBERS 0 361 43
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Exercicios resolvidos James Stewart vol. 2 7ª ed - ingles

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