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" }{XPPEDIT 18 0 "y = x^2;" "6#/% \"yG*$%\"xG\"\"#" }{TEXT 257 3 " , " }{XPPEDIT 18 0 "x = 1;" "6#/%\"xG \"\"\"" }{TEXT 258 3 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" } {TEXT 259 83 ". \+ " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 260 13 "Exercise 2. " }{XPPEDIT 18 0 "y = exp(x);" "6#/%\"yG-%$expG6#%\"xG" }{TEXT 261 3 " , " }{XPPEDIT 18 0 "x = 0;" "6#/%\"xG\"\"!" }{TEXT 262 2 ", " }{XPPEDIT 18 0 "x = 1 " "6#/%\"xG\"\"\"" }{TEXT 264 2 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG \"\"!" }{TEXT 263 4 ". " }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 266 13 "Exercise 3. " }{XPPEDIT 18 0 "y = 1/x;" "6#/%\"yG*&\"\"\"F&%\"xG!\" \"" }{TEXT 267 3 " , " }{XPPEDIT 18 0 "x = 1;" "6#/%\"xG\"\"\"" } {TEXT 268 2 ", " }{XPPEDIT 18 0 "x = 2;" "6#/%\"xG\"\"#" }{TEXT 270 2 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" }{TEXT 269 4 ". " } {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 271 13 "Exercise 4. " }{XPPEDIT 18 0 "y = sqrt(x-1); " "6#/%\"yG-%%sqrtG6#,&%\"xG\"\"\"F*!\"\"" }{TEXT 272 3 " , " } {XPPEDIT 18 0 "x = 2;" "6#/%\"xG\"\"#" }{TEXT 273 2 ", " }{XPPEDIT 18 0 "x = 5;" "6#/%\"xG\"\"&" }{TEXT 275 2 ", " }{XPPEDIT 18 0 "y = 0;" " 6#/%\"yG\"\"!" }{TEXT 274 4 ". " }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 276 13 "Exercise 5. " }{XPPEDIT 18 0 "y = x^2;" "6#/%\"yG*$%\"xG\"\"#" }{TEXT 277 3 " , " }{XPPEDIT 18 0 "0 <= x and x <= 2;" "6#31\"\"!%\"xG1F&\"\"#" } {TEXT 278 1 "," }{XPPEDIT 18 0 "x = 0;" "6#/%\"xG\"\"!" }{TEXT 280 2 " , " }{XPPEDIT 18 0 "y = 4;" "6#/%\"yG\"\"%" }{TEXT 279 4 ". " } {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PAGEBK }{PARA 0 "" 0 "" {TEXT 290 17 "In Exercises 6-10" } {TEXT -1 105 ", find the volume of the solid obtained by rotating the \+ region specified about the y-axis (shell method)." }}{PARA 0 "" 0 "" {TEXT 281 13 "Exercise 6. " }{XPPEDIT 18 0 "y = x^2;" "6#/%\"yG*$%\"x G\"\"#" }{TEXT 282 3 " , " }{XPPEDIT 18 0 "x = 1;" "6#/%\"xG\"\"\"" } {TEXT 283 3 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" }{TEXT 284 83 ". \+ " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 285 13 "Exercise 7. " }{XPPEDIT 18 0 "y = exp(x );" "6#/%\"yG-%$expG6#%\"xG" }{TEXT 286 3 " , " }{XPPEDIT 18 0 "x = 0; " "6#/%\"xG\"\"!" }{TEXT 287 2 ", " }{XPPEDIT 18 0 "x = 1" "6#/%\"xG\" \"\"" }{TEXT 289 2 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" } {TEXT 288 4 ". " }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 291 13 "Exercise \+ 8. " }{XPPEDIT 18 0 "y = 1/x;" "6#/%\"yG*&\"\"\"F&%\"xG!\"\"" }{TEXT 292 3 " , " }{XPPEDIT 18 0 "x = 1;" "6#/%\"xG\"\"\"" }{TEXT 293 2 ", \+ " }{XPPEDIT 18 0 "x = 2;" "6#/%\"xG\"\"#" }{TEXT 295 2 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" }{TEXT 294 4 ". " }{TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 296 13 "Exercise 9. " }{XPPEDIT 18 0 "y = sqrt(x-1);" "6#/%\"yG-%%sqr tG6#,&%\"xG\"\"\"F*!\"\"" }{TEXT 297 3 " , " }{XPPEDIT 18 0 "x = 2;" " 6#/%\"xG\"\"#" }{TEXT 298 2 ", " }{XPPEDIT 18 0 "x = 5;" "6#/%\"xG\"\" &" }{TEXT 300 2 ", " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" }{TEXT 299 4 ". " }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 301 14 "Exercise 10. " }{XPPEDIT 18 0 "y = x^2;" "6#/%\"yG*$%\"xG\"\"#" }{TEXT 302 3 " , " }{XPPEDIT 18 0 "0 <= x and x <= 2;" "6#31\"\"!%\"xG1F&\"\"#" }{TEXT 303 1 "," } {XPPEDIT 18 0 "x = 0;" "6#/%\"xG\"\"!" }{TEXT 305 2 ", " }{XPPEDIT 18 0 "y = 4;" "6#/%\"yG\"\"%" }{TEXT 304 4 ". " }{TEXT -1 0 "" }} {PAGEBK }{PARA 0 "" 0 "" {TEXT 315 18 "In Exercises 11-15" }{TEXT -1 84 ", find the volume of the solid obtained by rotating the region abo ut the given line." }}{PARA 0 "" 0 "" {TEXT 306 14 "Exercise 11. " } {XPPEDIT 18 0 "y = x;" "6#/%\"yG*$%\"xG\"\"\"" }{TEXT 307 3 " , " } {XPPEDIT 18 0 "y = sqrt(x);" "6#/%\"yG-%%sqrtG6#%\"xG" }{TEXT 308 3 ", " }{TEXT -1 15 "about the line " }{XPPEDIT 18 0 "y = 1;" "6#/%\"yG\" \"\"" }{TEXT 309 83 ". \+ " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 310 14 "Exercise 12. " } {XPPEDIT 18 0 "y = x^2;" "6#/%\"yG*$)%\"xG\"\"#\"\"\"" }{TEXT 311 3 " \+ , " }{XPPEDIT 18 0 "y = 4;" "6#/%\"yG\"\"%" }{TEXT 312 2 ", " }{TEXT -1 15 "about the line " }{XPPEDIT 18 0 "y = 4;" "6#/%\"yG\"\"%" } {TEXT 331 3 ". " }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 316 14 "Exercise \+ 13. " }{XPPEDIT 18 0 "y = x^4;" "6#/%\"yG*$%\"xG\"\"%" }{TEXT 334 3 " , " }{XPPEDIT 18 0 "y = 1;" "6#/%\"yG\"\"\"" }{TEXT 335 2 ", " } {TEXT -1 15 "about the line " }{XPPEDIT 18 0 "y = 2;" "6#/%\"yG\"\"#" }{TEXT 336 3 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 321 15 "Exercise 14. " }{XPPEDIT 18 0 "y = 1/x ;" "6#/%\"yG*&\"\"\"F&%\"xG!\"\"" }{TEXT 337 3 " , " }{XPPEDIT 18 0 "y = 0;" "6#/%\"yG\"\"!" }{TEXT 338 3 ", " }{XPPEDIT 18 0 "x = 1;" "6#/ %\"xG\"\"\"" }{TEXT 340 2 ", " }{XPPEDIT 18 0 "x = 3;" "6#/%\"xG\"\"$ " }{TEXT 341 1 "," }{TEXT -1 16 " about the line " }{XPPEDIT 18 0 "y = -1;" "6#/%\"yG,$\"\"\"!\"\"" }{TEXT 339 3 ". " }{TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 326 13 "Exercise 15. " }{XPPEDIT 18 0 "y = x^2;" "6#/%\"yG*$%\"xG\"\"# " }{TEXT 342 3 " , " }{XPPEDIT 18 0 "x = y^2;" "6#/%\"xG*$)%\"yG\"\"# \"\"\"" }{TEXT 343 2 ", " }{TEXT -1 15 "about the line " }{XPPEDIT 18 0 "y = -1;" "6#/%\"yG,$\"\"\"!\"\"" }{TEXT 344 3 ". 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