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 - 10.3 Exercises - Page 687: 10

Answer

See image:

Work Step by Step

The region contains points whose distance from the origin is between 1 and 3 (arcs included), and terminal ends to the angles to these points are between $\displaystyle \theta=\frac{\pi}{6}$ and $\displaystyle \theta=\frac{5\pi}{6}$, excluding the border line segments.
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