Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1030: 13

Answer

See graph and explanations.

Work Step by Step

Step 1. Rewrite the given equation as $r=\frac{\frac{12}{5}}{1+\frac{3}{5}cos\theta}$ and compare with one of the standard forms. Step 2. We can identify $e=\frac{3}{5}, ep=\frac{12}{5}, p=4$; the conic is an ellipse with directrix $x=4$ Step 3. Based on the standard plot, with test values, we can graph the equation as shown in the figure.
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