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

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.Student Solutions Manual for . MULTIVARIABLE . CALCULUS SEVENTH EDITION DAN CLEGG Palomar College BARBARA FRANK· Cape Fear Community College ~- . · BROOKS/COLE taa. CENGAG ELearning· Australia · Brazil · j apan · Korea • Mexico · Singapore • Spain · United Kingdom · United States
.. BROOKS/COLE ~ I ~~r CENGAGE Learning· © 2012 Brooks/Cole, Cengage Learning ALL RIGHTS RESERVED. No· part of this work covered by the copyright herein may be reproduced, transmitted, stored, or used In any form or by any means graphic, electronic, or mechanical, including but not limited to photocopy Ing, recording, scanning, digitizing, taping, Web distribution, information networks, or information storage and retrieval systems, except as permitted under Section 1 07 or 1 08 of the 1976 United States Copyright Act, without the prior written permission of the publisher. For product information and technology assistance, · contact us at Cengage Learning Customer & Sales Support, 1-800-354-9706 For permission to use material from this text or product, submit all requests online at · www.cengage.com/permissions Further permissions questions can be emailed to permissionrequest@cengage.com ISBN-13·: 987-0-8400-4945-2 ISBN -10: 0-8400-4945-5 Brooks/Cole 20 Davis Drive Belmont, CA 94002-3098 USA Cengage Learning is a leading provider of customized learning solutions with office locations around the globe, including Singapore, the United Kingdom, Australia, Mexico, Brazil, and Japan. Locate your local office at: www.cengage.com/global Cengage Learning products are represented in Canada by Nelson Education, Ltd. To learn more about Brooks/Cole, visit www.cengage.com/brookscole Purchase any of our products at your local college store or at our preferred online store www.cengagebrain.com I ·ll Printed in the United States of America 2 3 4 5 6 7 15 14 13 12 11 e 20 12 Cengnge Learning. All Rights Reserved. Mny not be scanned, copied, or duplicated, or posted to a publicly accessible website. In whole or in pan.
Page 1: - STUDENT SOLUTIONS MANUAL for STEW
Page 5 and 6: D ABBREVIATIONS AND SYMBOLS CD cu D
Page 7 and 8: viii o CONTENTS 12.4 The Cross Prod
Page 9 and 10: 10 D PARAMETRIC EQUATIONS AND POLAR
Page 11 and 12: SECTION 10.1 CURVES DEFINED BY PARA
Page 13 and 14: SECTION 10.1 CURVES DEFINED BY PARA
Page 15 and 16: SECTION 10.2 CALCULUS WITH PARAMETR
Page 21 and 22: SECTION 10.3 POLAR COORDINATES 0 13
Page 27 and 28: SECTION 10 .~ POLAR COORDINATES 0 1
Page 29 and 30: SECTION 10.4 A~~S AND LENGTHS IN PO
Page 31 and 32: SECTION 10.4 AREAS AND LENGTHS IN P
Page 33 and 34: SECTION 10.4 AREAS AND LENGTHS IN P
Page 35 and 36: SECTION 10.5 CONIC SECTIONS 0 27 5.
Page 37 and 38: SECTION 10.5 CONIC SECTIONS 0 29 35
Page 39 and 40: 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 +
Page 49 and 50: CHAPTER 10 REVIEW 0 41 2 2 . 45. ~
Page 51 and 52: 0 PROBLEMS PLUS l lt sin u dx cost
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11 . D INFINITE SEQUENCES AND SERIE
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SECTION 11.1 SEQUENCES 0 47 35. a,.
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SECTION 11.1 SEQUENCES D 49 71. Sin
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SECTION 11.2 SERIES 0 51 ak+l- a1.:
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SECTION 11.2 SERIES 0 53 13. n s.,
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SECTION 11.2 SERIES 0 55 47. F~r th
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. . (1+ c)- 2 scn es and set 1t equ
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SECTION 11.3 THE INTEGRAL TEST AND
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, SECTION 11.3 THE INTEGRAL TEST AN
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SECTION 11.4 THE COMPARISON TESTS D
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SECTION 11.5 ALTERNATING SERIES 0 6
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SECTION 11.5 ALTERNATING SERIES D 6
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SECTION 11.6 ABSOLUTE CONVERGENCE A
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SECTION 11.6 ABSOLUTE CONVERGENCE A
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17 lim I an+l I= SECTION 11.7 STRAT
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SECTION 11.8 POWER SERIES 0 75 l 00
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SECTION 11.8 POWER SERIES 0 n (b) I
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SECTION 11.9 REPRESENTATIONS OF FUN
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SECTION 11.9 REPRESENTATIONS OF FUN
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SECTION 11.10 TAYLOR AND MACLAURIN
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61 _ x_ x · sin x - x- tx 3 + 1~
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SECTION 11.11 APPLICATIONS OF TAYLO
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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
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49./- 1 - dx = -ln{4- x) + C and 4-
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D PROBLEMS PLUS 1. It would be far
Page 115 and 116:
CHAPTER 11 PROBLEMS PLUS D 107 l 9.
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CHAPTER 11 PROBLEMS PLUS 0 109 x x
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112 0 CHAPTER 12 VECTORS AND THE GE
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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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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
Page 159 and 160:
SECTION 13.1 VECTOR FUNCTIONS AND S
Page 161 and 162:
SECTION 13.1 VECTOR FUNCTIONS AND S
Page 163 and 164:
SECTION 13.2 DERIVATIVES AND INTEGR
Page 165 and 166:
SECTION 13.2 DERIVATIVES AND INTEGR
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SECTION 13.3 ARC LENGTH AND CURVATU
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Page 173 and 174:
Page 175 and 176:
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 )
Page 183 and 184:
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
Page 253 and 254:
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
Page 265 and 266:
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
Page 273 and 274:
SECTION 15.7 TRIPLE INTEGRALS 0 269
Page 275 and 276:
SECTION 15.7 TRIPLE INTEGRALS D 271
Page 277 and 278:
Therefore E = { (x, y, z) I -2 ~ X~
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43. I,. = foL foL foL k(y2 + z2)dz.
Page 281 and 282:
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
Page 307 and 308:
SECTION 16.2 LINE INTEGRALS 0 305 2
Page 309 and 310:
SECTION 16.2 LINE INTEGRALS 0 307 (
Page 311 and 312:
SECTION 16.2 LINE INTEGRALS D 309 3
Page 313 and 314:
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
Page 319 and 320:
8 8 8 (b)clivF = 'V ·iF=- (x+yz) +
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SECTION 16.5 CURL AND DIVERGENCE 0
Page 323 and 324:
SECTION 16.6 PARAMETRIC SURFACES AN
Page 325 and 326:
Page 327 and 328:
Page 329 and 330:
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
Page 335 and 336:
SECTION 16.8 STOKES' THEOREM 0 333
Page 337 and 338:
dS SECTION 16.9 THE DIVERGENCE THEO
Page 339 and 340:
CHAPTER 16 REVIEW 0 337 27. JI 5 cu
Page 341 and 342:
CHAPTER 16 REVIEW 0 339 TRUE-FALSE
Page 343 and 344:
CHAPTER 16 REVIEW D 341 Alternate s
Page 345 and 346:
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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