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 - Practice Exercises - Page 688: 35

Answer

$r=3\cos \theta$

Work Step by Step

Consider $x^2+y^2-3x=0$ or, $(x-\dfrac{3}{2})^2+y^2=(\dfrac{9}{4})$ Here, we get the equation of a circle with center $(\dfrac{3}{2},0)$ and radius $\dfrac{3}{2}$ This implies that $r^2-3r \cos \theta=0 \implies r^2=3r \cos \theta$ Hence, $r=3\cos \theta$
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