For all the problems in this section you should only use the
given parametric equations to determine the answer.
For problems1 4 determine the surface area of the object
obtained by rotating the parametric curve about the given axis. For these problems you may assume that the
curve traces out exactly once for the given range of t’s.
1. Rotate about the x-axis.
2. Rotate about the y-axis.
3. Rotate about the y-axis.
4. Rotate about the x-axis.
For problems 5 7 set up, but do not evaluate, an integral
that gives the surface area of the object obtained by rotating the parametric
curve about the given axis. For these
problems you may assume that the curve traces out exactly once for the given
range of t’s.
5. Rotate about the x-axis.
6. Rotate about the y-axis.
7. Rotate about the x-axis.