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

Recommendations

Info

CHAPTER 15 PROBLEMS PLUS 0 301 The distance between these points is h = V 3 ( -jg - t Y = v'3 (-jg - t) = 1 - 73. Thus the volume of R is V= IlL dV= Ills 1:(~:~:~~ ~ dV = abc Ills dV = abcV(S) = abc· 1rh 2 (r - th) = abc· 1r ( 1 - 7-J Y [ 1 - i _( 1-73)] = abC7r ( ~ - "7a) ( j + aTa) = abC7r ( ~ - ~ ) ~ 0.482abc © 2012 Ccny.:.esc Lc:uning. All Rights Rcscr\'ed. Moy not be scunnc:d. copied. or duplicated, or posu:d to a. publicly accc::ssible website, in whole or in part.
16 0 VECTOR CALCULUS 16.1 Vector Fields 1. F (x, y) = 0.3 i - 0.4j All vectors in this field are identical, with length 0.5 and parallel to (3, -:-4) . 3. F (x,y) = - ~ i + (y - x) j y The length of the vector - ~ i + (y - x) j is vt. + (y - x) 2 . Vectors along the line y =X are horizontal with length ~. 5 F ( ) - y i + x j . x,y - Jx2 +y2 The length of the vector ~ is 1. x2 + y2 7. F (x, y , z) = k All vectors in this field are parallel to the z-axis and have length 1. 9. F(x,y,z) = x k At each point (x, y, z), F (x, y, z) is a vector of length lxl. For x > 0, all point in the direction of the positive z-axis, while for x < 0, all are in the direction of the negative z-axis. In each plane x = k, all the vectors are identical. X ,, ]j © 2012 Ccnii,OII,C Lco.ming. AU Righrs Rcscm:d. Moy not be scanned. copied, ordup~ cotcd, or posted too publicly occcssiblc website, in whole or in part. 303
Page 1 and 2:
- STUDENT SOLUTIONS MANUAL for STEW
Page 3 and 4:
.. BROOKS/COLE ~ I ~~r CENGAGE Lear
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 17 and 18:
Page 19 and 20:
Page 21 and 22:
SECTION 10.3 POLAR COORDINATES 0 13
Page 23 and 24:
Page 25 and 26:
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
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 and 92:
SECTION 11.10 TAYLOR AND MACLAURIN
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
61 _ x_ x · sin x - x- tx 3 + 1~
Page 99 and 100:
SECTION 11.11 APPLICATIONS OF TAYLO
Page 101 and 102:
Page 103 and 104:
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 121 and 122:
Page 123 and 124:
Page 125 and 126:
Page 127 and 128:
120 D CHAPTER 12 VECTORS AND THE GE
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
136 D CHA~TER 12 VECTORS AND THE GE
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
Page 153 and 154:
D PROBLEMS PLUS 1. Since three-dime
Page 155 and 156:
l CHAPTER 12 PROBLEMS PLUS 0 149 Eq
Page 157 and 158:
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
Page 167 and 168:
SECTION 13.3 ARC LENGTH AND CURVATU
Page 169 and 170:
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
SECTION 13.4 MOTION IN SPACE: VELOC
Page 177 and 178:
2 SECTION 13.4 MOTION IN SPACE: VEL
Page 179 and 180:
CHAPTER 13 REVIEW D 173 43. The tan
Page 181 and 182:
5. f~(t 2 i +tcos 1rtj +sin 1rt k )
Page 183 and 184:
CHAPTER 13 REVIEW 0 177 23. (a) r (
Page 185 and 186:
180 0 CHAPTER 13 PROBLEMS PLUS (-2a
Page 187 and 188:
182 0 CHAPTER 13 PROBLEMS PLUS vect
Page 189 and 190:
184 0 CHAPTER 14 PARTIAL DERIVATIVE
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Page 201 and 202:
196 D CHAPTER 14 PARTIAL DERIVATIVE
Page 203 and 204:
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Page 211 and 212:
Page 213 and 214:
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Page 221 and 222:
Page 223 and 224:
Page 225 and 226:
Page 227 and 228:
Page 229 and 230:
Page 231 and 232:
Page 233 and 234:
Page 235 and 236:
Page 237 and 238:
Page 239 and 240:
Page 241 and 242:
Page 243 and 244:
Page 245 and 246:
Page 247 and 248:
Page 249 and 250:
D PROBLEMS PLUS 1. The areas of the
Page 251 and 252:
15 D MULTIPLE INTEGRALS 15.1 Double
Page 253 and 254: SECTION 15.2 ITERATED INTEGRALS D 2
Page 255 and 256: l SECTION 15.3 DOUBLE INTEGRALS OVE
Page 257 and 258: SECTION 15.3 DOUBLE INTEGRALS OVER
Page 259 and 260: SECTION 15.3 DOUBLE INTEGRALS OVER
Page 261 and 262: 61 . Since m :S j(x, y) :S M, ffD m
Page 263 and 264: SECTION 15.4 DOUBLE INTEGRALS IN PO
Page 265 and 266: SECTION 15.5 APPLICATIONS OF DOUBLE
Page 267 and 268: SECTION 15.5 APPLICATIONS OF DOUBLE
Page 269 and 270: SECTION 1505 APPLICATIONS OF DOUBLE
Page 271 and 272: -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~
Page 279 and 280: 43. I,. = foL foL foL k(y2 + z2)dz.
Page 281 and 282: SECTION 15.8 TRIPLE INTEGRALS IN CY
Page 283 and 284: M xv = I~1f I: I:2 6 - 3 r 2 (zK) r
Page 285 and 286: SECTION 15.9 TRIPLE INTEGRALS IN SP
Page 287 and 288: SECTION 15.9 TRIPLE INTEGRALS IN SP
Page 289 and 290: (b) The wedge in question is the sh
Page 291 and 292: SECTION 15.10 CHANGE OF VARIABLES I
Page 293 and 294: CHAPTER 15 REVIEW 0 289 15 Review C
Page 295 and 296: CHAPTER 15 REVIEW 0 291 l 9. The vo
Page 297 and 298: CHAPTER 15 REVIEW D 293 33. Using t
Page 299 and 300: 49. Since u = x- y and v = x + y, x
Page 301 and 302: 298 D CHAPTER 15 PROBLEMS PLUS To e
Page 303: 300 0 CHAPTER 15 PROBLEMS PLUS 13.
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
Page 315 and 316: SECTION 16.4 GREEN'S THEOREM D 313
Page 317 and 318: SECTION 16.4 GREEN'S THEOREM 0 315
Page 319 and 320: 8 8 8 (b)clivF = 'V ·iF=- (x+yz) +
Page 321 and 322: SECTION 16.5 CURL AND DIVERGENCE 0
Page 323 and 324: SECTION 16.6 PARAMETRIC SURFACES AN
Page 329 and 330: that is, D = {( x, y) I x 2 + y 2 :
Page 331 and 332: SECTION 16.7 SURFACE INTEGRALS 0 32
Page 333 and 334: 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
Page 347 and 348: 3.c6 0 CHAPTER 17 SECOND-ORDER DIFF
Page 349 and 350: 348 0 CHAPTER 17 SECOND-ORDER DIFFE
Page 351 and 352: 350 0 CHAPTER 17 SECOND-ORDER DIFFE
Page 353 and 354: 352 D CHAPTER 17 SECOND-ORDER DIFFE
Page 355 and 356:
354 0 CHAPTER 17 SECOND-ORDER DIFFE
Page 357 and 358:
356 D CHAPTER 17 SECOND-ORDER DIFFE
Page 359 and 360:
0 APPENDIX Appendix H Complex Numbe
Page 361:
APPENDIX H COMPLEX NUMBERS 0 361 43
show all

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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?