Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 730: 16

Answer

The graph of $$r=\frac{3}{2-2\cos\theta}$$ is a side-way parabola with eccentricity $1$.See the attached graph.
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Work Step by Step

As we are given that $r=\frac{3}{2-2cos\theta}$ This can be rewritten as: $r=\dfrac{(3/2)}{1-\cos\theta}$ $r=\dfrac{(1).(3/2)}{1-(1).cos\theta}$ The graph of $$r=\frac{3}{2-2\cos\theta}$$ is a side-way parabola with eccentricity $1$.See the attached graph.
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