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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Find a polar equation for the curve represented by the given Cartesian equation.

22. y = x

To determine

To find: The polar equation from the Cartesian equation y=x.

Explanation

Given:

The Cartesian equation for the variable y is as below.

y=x

Calculation:

The coordinates are to be written in polar form (r,θ) using the given Cartesian form (x,y).

The Cartesian equation for the variable x is as below.

x=rcosθ

The Cartesian equation for the variable x is as below.

y=rsinθ

Substitute (rcosθ) for x and (rsinθ) for y in equation y=x

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