## Multivariable Calculus, 7th Edition

Published by Brooks Cole

# Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises: 17

#### Answer

$r=\frac{2}{cos\theta + sin \theta}$

#### Work Step by Step

Given: $x+y=2$ To convert this equation into polar form, we will substitute $x=rcos\theta$ and $y=rsin \theta$ Thus, $rcos\theta + rsin \theta =2$ or $r=\frac{2}{cos\theta + sin \theta}$

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