Problem 34E

Let 1 be the region bounded by y=x2,y=0, and x=b, where b0. Let 2 be the region bounded by y=x2,x=0,, and y=b2. a Is there a value of b such that 1 and 2 have the same area? b Is there a value of b such that 1 sweeps out the same volume when rotated about the x-axis and the y-axis? c Is there a value of b such that 1 and 2 sweep out the same volume when rotated about the x-axis? d Is there a value of b such that 1 and 2 sweep out the same volume when rotated about the y-axis?

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