Assignment:
Q1. The region bounded by y = e^2x, y = e^x, x = 0, and x = 2 is rotated around the x-axis. Find the volume.
Q2. Consider the region bounded by y = x^2, y = 3, and the y-axis. Find the volume of the solid obtained by rotating the region around the y-axis.
Provide complete and step by step solution for the question and show calculations and use formulas.