Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.3 Exercises - Page 687: 25

Answer

The polar equation for the curve is represented by: $x^2 + y^2 = 2cx$ is $r = 2c \space cos(\theta)$

Work Step by Step

Knowing that $r^2 = x^2 + y^2$ and $x = rcos(\theta)$, we can substitute these expressions into the equation: $x^2 + y^2 = 2cx$ $r^2 = 2 c (rcos(\theta))$ Dividing both sides by "r": $r = 2c \space cos(\theta)$
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