1. Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of y = (1/3)x3 where 0 ≤ x ≤ 3 about the x-axis.
2. Find the arc length of the graph of the function y = x3/2 over the interval [1, 8].
3. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by y = 0.5 x2 + 1, x = 0 and y = 4 about the y-axis.