Replace the Cartesian equation with an equivalent polar equation. {eq}x^2 + y^2 - 4x = 0 {/eq}

Question:

Replace the Cartesian equation with an equivalent polar equation.

{eq}x^2 + y^2 - 4x = 0 {/eq}

Curves and System of Coordinates:

A curve in polar coordinates is the graph of a function of the form {eq}r = r\left( \theta \right) {/eq}, that is to say where the independent variable is interpreted as the polar angle of the points and the dependent variable as the polar radius of the points.

Some curves can be expressed in polar coordinates in a more compact way than in Cartesian ones.

Answer and Explanation: 1

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Using the change from rectangular coordinates to polar coordinates:

{eq}\left\{ {\begin{array}{*{20}{c}} {x = r\cos \theta }\\ {y = r\sin \theta...

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