1. (15 points) Let f(x) = 3", g(x) = 2x + 1, and R be the region enclosed by 1'00 and g(x). (Hint: You may use Desmos to help you find the points of intersection. If so, make a sketch of the Desmos graph and show all work for integration). a. Find the area of the region R. (You may round to 3 decimal places for all calculations) b. Find the volume of the solid of revolution obtained by revolving R around the x-axis. c. Find the volume of the solid of revolution obtained by revolving R around the y-axis