Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.3 Polar Coordinates - Preliminary Questions - Page 617: 3

Answer

Circle of radius 2 and centered at the origin. Circle of radius $\sqrt 2$ and centered at the origin. The point $(2,0)$.

Work Step by Step

(a) $r=2$ is a circle of radius 2 and centered at the origin. (b) $r^2=2$ is a circle of radius $\sqrt 2$ and centered at the origin. (c) $ r\cos \theta =2 \Longrightarrow x=2$; the point $(2,0)$ which is the closest to the origin.
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