Let 51 be the region bounded by y x 2 , y 0, and x b,
Chapter , Problem 34(choose chapter or problem)
Let 51 be the region bounded by y x 2 , y 0, and x b, where b . 0. Let 52 be the region bounded by y x 2 , x 0, and y b 2 . (a) Is there a value of b such that 51 and 52 have the same area? (b) Is there a value of b such that 51 sweeps out the same volume when rotated about the x-axis and the y-axis? (c) Is there a value of b such that 51 and 52 sweep out the same volume when rotated about the x-axis? (d) Is there a value of b such that 51 and 52 sweep out the same volume when rotated about the y-axis?
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