Thomas' Calculus 13th Edition

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

Chapter 11: Parametric Equations and Polar Coordinates - Section 11.3 - Polar Coordinates - Exercises 11.3 - Page 663: 19

Answer

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Work Step by Step

Conversion formulas: $\left\{\begin{array}{ll} (x,y)=(r\cos\theta,r\sin\theta) & \\ r^{2}=x^{2}+y^{2}, & \tan\theta=\frac{y}{x} \end{array}\right.$ The points $(r,\theta)$ of the region are such that: The angle $\pi/2$ terminates on the +y axis (Cartesian) defines a line through the pole (the origin). Since only nonnegative $r$'s are considered, only the points on the +y-axis are represented.
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