Math 142

Summer 2000

Exam 5

1. (24 pt) Change the following coordinates.

a) from polar to rectangular.

b) from polar to rectangular.

c) from rectangular to polar.

d) from rectangular to polar.

2. (24 pt) Sketch the graph of the polar equation

3. (24 pt) Sketch the graph of the polar equation

4. (18 pt) Consider the polar equation

a) Rewrite this equation in Cartesian (hint: multiply both sides by for a first step).

b) Show that the graph of the polar equation is a circle.

c) Find the center and radius of the circle.

5. (20 pt) A particle moves according to the parametric equations and Let , describe as completely as you can the motion of the particle.