Is there a value of such that r1 and r2 have the same area

Reference no: EM131110584

Let R1 be the region bounded by y = x2, y = 0, and x = b, where b > 0. Let R2 be the region bounded by y = x2, x = 0, and y = b2.

(a) Is there a value of such that R1 and R2 have the same area?

(b) Is there a value of such that R1 sweeps out the same volume when rotated about the x-axis and the -axis?

(d) Is there a value of such that R1 and R2 sweep out the same volume when rotated about the y-axis?

Reference no: EM131110584

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