In each of the following, find the volume of the solid S. (a) The base of S is the region in the x-y plane bounded by the graph of y = e x and the...

1. In each of the following, find the volume of the solid S.

(a) The base of S is the region in the x-y plane bounded by the graph of y = e

−x and

the x-axis over the interval [0, ln 3]. Each cross-section of S perpendicular to the

x-axis is a triangle of height 5 with its base is in the x-y plane.

(b) The base of S is the region in the x-y plane bounded by the curves y = x

2 and y = √x. Each cross-section of S perpendicular to the x-axis is a square.