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: 31

Answer

$18$

Work Step by Step

Given: $r^2=9 cos 5 \theta$ $Area,A=\int_{- \pi/10}^{\pi/10}\frac{r^2}{2}d\theta$ $=\int_{- \pi/10}^{\pi/10}\dfrac{9cos5 \theta}{2}d\theta$ $=10[\dfrac{9sin5 \theta}{10}]_{- \pi/10}^{\pi/10}$ $=18$
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