Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 10 - Section 10.3 - Polar Coordinates - 10.3 Exercises - Page 666: 12

Answer

$r \geq 1,~~~$ $\pi \leq \theta \leq 2\pi$ This region includes all the points outside the circle centered on the origin with a radius of 1 that are on or below the horizontal axis. Note that the points on the bottom half of this circle are also included in the region.

Work Step by Step

$r \geq 1,~~~$ $\pi \leq \theta \leq 2\pi$ The region includes all points that are a distance of 1 or farther from the origin and located on or below the horizontal axis. This region includes all the points outside the circle centered on the origin with a radius of 1 that are on or below the horizontal axis. Note that the points on the bottom half of this circle are also included in the region.
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