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## Homework Statement

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

y=1+3x

## Homework Equations

x

^{2}+y

^{2}=r

^{2}

x=Rcos(θ)

y=Rsin(θ)

## The Attempt at a Solution

(1+3x)

^{2}+x

^{2}=r

^{2}

1+6x+10x

^{2}=r

^{2}

1+6rcos(θ)+10r

^{2}cos

^{2}(Θ)=r

^{2}