Let R be the region bounded by the curve y = ln x, the x-axis, and the line x = e. Find the area of the region R. 5. Let B be the region in the xy-plane bounded by y = x² and x = y². a) [5 points] Find the volume of the solid generated by revolving the region B about the x-axis. b) [7 points] Find the volume of the solid whose base is B and each cross-section perpendicular to the x-axis is a square with side lying in its base. 6. [7 points] Find the average value of the function f(x) x (x+2)² 7. [5 points] Find the radius of convergence of the following power series. [infinity] (−1)n (x - 2)" n 10n n=1 over the interval [−1,1].