1. T/F: When using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. 2. Explain how two sequences that differ in only their first ten terms can have the same limit. 3. Explain how a pair of parametric equations generates a curve in the xy-plane. 4. Explain in your own words why numerical methods are needed for certain integrals. 5. Evaluate the following integrals. Please show all work. a. -6x2 e 2x dx b. tan* x dx C. dx (1 - x2)2 d. 2x +1 -dx 6. Determine if the following integral converges or diverges. In(8x) dx