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    Volume of Revolution Problem

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    Find the volume of the solid of revolution formed by rotating the finite region bounded by the graphs of y=sin((pi)x^2)/2) and y=x^5 about the y-axis.

    The possible answers are:

    A. 2(5pi-7)/7 B. (7pi-5)/7 C. 2(5-pi)/7

    D. (5pi+2)/7 E. 2(7-pi)/7

    © BrainMass Inc. brainmass.com December 24, 2021, 7:41 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/volume-revolution-problem-209503

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    4. Find the volume of the solid of revolution formed by rotating the finite region bounded by the graphs of y=sin((pi)x^2)/2) and y=x^5 about the y-axis.

    I believe I am supposed to use this equation for the volume:
    Vshell = 2pi*rhdx

    And set it up like this:
    2pi*x*(sin((pi)x^2)/2) - x^5)dx

    The equation is correct.
    The two curves intersect at x = 0 and x = 1.
    So the volume is

    A. 2(5p-7)/7 B. (7p-5)/7 C. 2(5-p)/7

    D. (5p+2)/7 E. 2(7-p)/7

    So E is the correct answer.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:41 pm ad1c9bdddf>
    https://brainmass.com/math/complex-analysis/volume-revolution-problem-209503

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