Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 710: 19

Answer

$r=\frac{sin \theta}{\theta}$, $r \to 0$ as $\theta \to \infty $. See the attached graph.

Work Step by Step

$r=\frac{sin \theta}{\theta}$, $r \to 0$ as $\theta \to \infty $. The curve resembles an oscillating curve becoming flatter and flatter as $r$ increases. See the attached graph.
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