Let be the region bounded by , , and , where . Let be the region bounded by , , and

Chapter 6, Problem 32

(choose chapter or problem)

Let be the region bounded by , , and , where . Let be the region bounded by , , and . (a) Is there a value of such that and have the same area? (b) Is there a value of such that sweeps out the same volume when rotated about the -axis and the -axis? (c) Is there a value of such that and sweep out the same volume when rotated about the -axis? (d) Is there a value of such that and sweep out the same volume when rotated about the -axis? y

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