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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.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:46 pm ad1c9bdddf
    https://brainmass.com/math/integrals/sketch-curve-set-up-double-integral-bounded-area-10325

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    Solution Preview

    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 = ...

    Solution Summary

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

    $2.19

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