A Date in the Polar Coordinate System (Part 2)

Calculus Level 3

Part 1

Delaney tells Rebecca that her favorite (Answer to Part 1) (which has equation \(r=k+k\sin\theta\) for some \(k<0\)) has area \(18\pi\). Rebecca figures out that \(k=-A\sqrt{B}.\) Find \(A+B.\)

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