Let f be the function defined by f(x)=1/x. Let R be the region in the first quadrant bounded by the graph of y=f(x), the horizontal line y=1, and the vertical line x=e.
a. What is the average value of f(x) on the interval 1 b. Find the area of region R
c. Find the volume of the solid generated when region R is revolved about the line y=1?