Question

How do you convert `-y=3y^2-x^2 +x^3` into a polar equation?

Answer 1

`0=3r^2sin^2theta+rsintheta+r^3cos^3theta-r^2cos^2theta`

Explanation:

`0=3y^2+y+x^3-x^2`
use the formulas:
`x=rcostheta and y= rsin theta`

`0=3r^2sin^2theta+rsintheta+r^3cos^3theta-r^2cos^2theta`