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1. Use a graphing utility to graph the polar equation shown below.

r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π

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. Write a short paragraph explaining which values of n produce the heart-shaped curves and which values of n produce the bell-shaped curves.

2. In your own words, define the term eccentricity and explain how it can be used to classify conics.

 

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