Math 2254 Ultimate Homework Due Thursday, May 1 Name:

1. Sketch the graph that is given parametrically by     x = 3 cos 2t,      y = 8 sin 2t,    .

Describe the graph.

2. Sketch the graph of    .     Find the area enclosed by the graph.

3. Sketch the graphs r = 4,     .

a) Find the area that is common to, or contained in both graphs.

b) Find the area that is inside the first, but not inside the second.