Answer
$\dfrac {6}{3+2\cos \theta }$
Work Step by Step
$r=\dfrac {ed}{1+e\cos \theta }=\dfrac {\dfrac {2}{3}\times 3}{1+\dfrac {2}{3}\cos \theta }=\dfrac {6}{3+2\cos \theta }$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 11 - Section 11.6 - Polar Equations of Conics - 11.6 Exercises - Page 829: 3
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