1. ) Find the area of the region between the
two curves _{}, _{}, _{} and _{}.

2. ) Find the volume of the solid obtained by
rotating the region ,_{}, enclosed by the given curves _{} , _{} , _{}, _{} about the x-axis.

3. ) Find the
volume of the solid obtained by rotating the region ,_{}, enclosed by the

curves _{} and _{} about the line _{}.

4. ) Use the method of cylindrical shells to
find the volume of the solid obtained by rotating the region bounded by the
given curves about the *x*-axis : _{}, _{}.

5. ) Use the method of cylindrical shells to find the volume of the solid obtained by

rotating the region bounded by the
given curves about the *y*-axis : _{}, _{} .

6. ) Find the work required to pump all the water out of a hemisphere that is full of water that has radius of length 8 meters.

7. ) Find *c*
such that _{} for the function _{} on the interval _{} .

8. ) If
*f * is continuous and _{}. Show that *f*
takes on the value 4 at least once on the interval _{} .