Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 730: 12

Answer

$$r=3+\cos3\theta$$
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Work Step by Step

$$r=3+\cos3\theta$$ When graphing polar equations, we need to look at the position of $r$ where it is is zero and switches from positive to negative to help with drawing the loops. This is depicted in the attached graph.
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