009C Sample Final 2, Problem 9

A curve is given in polar coordinates by

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle r=\sin(2\theta ).}

(a) Sketch the curve.

(b) Compute  Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y'={\frac {dy}{dx}}.}

(c) Compute  Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y''={\frac {d^{2}y}{dx^{2}}}.}

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Solution

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