a region R in the first quadrant is bounded by y=8-x^2, y=2x and y-axis.

a. sketch the region, R, without the use of your calculator. You must use algebra to find and label the points of intersection.

b. Set up an integral expression for the volume when R is revolved around the x-axis. (Do not evaluate the integral! Just set it up.) Use both washer and shell method.

c. Set up an integral expression for the volume when R is revolved around the y-axis. (Do not evaluate the integral! Just set it up.) Use both washer and shell method.