Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 15: Multiple Integrals - Section 15.4 - Double Integrals in Polar Form - Exercises 15.4 - Page 893: 6

Answer

$-\frac{\pi}{3}\leq θ \leq \frac{\pi}{3} , secθ \leq r \leq 2$

Work Step by Step

$x^{y}+x^{y}=x^{y}$ $=> r=2$ $x=1 => r=secθ $ $secθ=2=>θ =\frac{\pi}{3}or -\frac{\pi}{3} $ $-\frac{\pi}{3}\leq θ \leq \frac{\pi}{3} , secθ \leq r \leq 2$
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