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: 60

Answer

a. $r=\frac{4}{1-sin\theta}$ b. $e=1$, $p=4$, parabola. c. see figure.
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Work Step by Step

a. The equation, $r=\frac{4}{1-sin\theta}$, is already in the standard form of a conic in polar coordinates. b. From the above equation, we can determine $e=1$ and $ep=4$, which gives $p=4$. With $e=1$, the equation can be identified as a parabola. c. We can graph the polar equation as shown in the figure.
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