Please answer all questions thoroughly, I will be using it as a study guide.

Volume with Discs Use the disc method to determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis. You must show all of your work, including the integral set up and the work of using FTOC Part 2 to nd your nal answers. Feel free to include your graphs as well. 1. Rotate the region bounded by y = 2x2, y = 8 and the y axis about the y axis. 2. Rotate the region bounded by y = 2x2, x = 2 and the x axis about the x axis. 3. Rotate the region bounded by y = x3, x = 8 and the x axis about the x axis. 4. Rotate the region bounded by x = y3, y = 2, and the y axis about the y axis. 6. Rotate the region bounded by y = J5, y = 3 and the y axis about the y axis 9. Find the volume of the solid of revolution obtained by rotating the region bounded by the x axis 2 and y = x around the line x = 3. 10. Find the volume of the solid formed by revolving the region bounded by the graphs of f(x) = 2 x2 andg(x) = 1 about the line y = 1