Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Review Exercises - Page 1037: 65


a. $r= \frac{2}{1+4cos\theta}$ b. $e=4$, $p=\frac{1}{2}$, hyperbola. c. see figure.

Work Step by Step

a. Rewrite the equation $r=\frac{8}{4+16cos\theta}=\frac{2}{1+4cos\theta}$ as the standard form of a conic in polar coordinates. b. From the above equation, we can determine $e=4$ and $ep=2$, which gives $p=\frac{1}{2}$. With $e\gt1$, the equation can be identified as a hyperbola. c. We can graph the polar equation as shown in the figure.
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