1) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. ?=1−?^4,?=0; about ?=2 2) Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the ?y-axis. ?=?^(?^2),?= sqrt 2,?=2,?=0

1) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. ?=1−?^4,?=0; about ?=2 2) Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the ?y-axis. ?=?^(?^2),?= sqrt 2,?=2,?=0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 14E

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