Question: The region bounded by y = e -x , y = 0, x = 0, and x = b (b > 0) is revolved about

The region bounded by y = e-x², y = 0, x = 0, and x = b (b > 0) is revolved about the y-axis.

(a) Find the volume of the solid generated when b = 1.

(b) Find b such that the volume of the generated solid is
cubic units.

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