Although a calculator is permitted, ALL WORK must be shown.

Please provide detailed answers to the questions listed below.

This Question is **CALCULATOR ACTIVE** Let R be the region in the first quadrant bounded by the graphs of (a) Find the area of R. (b) Find the volume of the solid generated when R is revolved about the vertical line x = 2. (c) The region R is the base of a solid. For this solid, the cross sections perpendicular to the y-aXis are rectangles with height twice as high as the base (width) of the rectangles. Find the volume of this solid