   Chapter 10.6, Problem 8E

Chapter
Section
Textbook Problem

# Matching In Exercises 7-12, match the polar equation with its correct graph. [The graphs are labeled (a), (b), (c), (d>, (e), and f).]  r = 1 2 − cos θ

To determine

The correct match of the given polar equation with its correct graph from the options given.

Explanation

Given: Given options for graphs are labelled as (a), (b), (c), (d), (e) and (f) as shown below:

Calculation: The given equation is r=22cosθ.

Rewrite the equation as

r=22cosθ=11(1/2)cosθ

So, the graph of the given equation is an ellipse with e=12

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