- Use Maple to verify that in the special case of a surface . (Hint - define your surface by and let Maple do the hard work.)
- Find the surface area of above the rectangle , .
- Find the surface area of the part of that
lies above
**z=0**. (Hint - parametrize the surface by polar coordinates , or convert the integral in rectangular coordinates to polar coordinates.) - Find the lateral area of a cylinder of radius
**R**and height**H**using a double integral. Lateral area means that the area of the top and bottom of the cylinder is not included. (Hint - the cylinder is given by the equation , for . A good way to parametrize the surface of the cylinder is .) - Find the surface area of the torus defined parametrically by , , .

Mon Sep 25 09:30:08 EDT 1995