University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 10 - Section 10.1 - Parametrizations of Plane Curves - Exercises - Page 563: 33

Answer

$x=2- \cos \theta$;$y=\sin \theta$; $0\leq \theta \leq 2 \pi$

Work Step by Step

The equation is a circle shifted from $(0,0)$ to $(2,0)$. Thus, we have: $y=\sin \theta$ $x=2- \cos \theta$ Hence, $x=2- \cos \theta$; $y=\sin \theta$; $0\leq \theta \leq 2 \pi$
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