1. Graph the polar equation shown below.

r = cos 5 + n cos , 0

For the integers n = -5 to n = 5. As you graph these equations, you should see the graph change shape from a heart to a bell. Explain which values of n produce the heart-shaped curves and which values of n produce the bell-shaped curves.

2. Define the term eccentricity and explain how it can be used to classify conics.