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Sketch the Curve and Set Up Double Integral for Bounded Area

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Sketch the curve r = 5 - 3cos(theta) and set up double integral for bounded area in the third quadrant.

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Solution Summary

A curve is sketched and the setup for the double integral for bounded area is shown.

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Note: read Q as theta.
r = 5 - 3*cos(Q)
Q = 00 : r= 2.0
Q = 30: r = 2.40
Q = 45: r = 2.88
Q = 60: r = 3.5
Q = 90: r = 5.0
Q = 135: r = 7.12
Q = 180: r = ...

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