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    Surface of the area of revolution

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    We are supposed to use the definition of the Area of a Surface of Revolution to solve this problem.

    I have attached this formula and the answers I received in a word document.

    The problem:

    Given: y = -x^2 + 4x defined on the closed domain [0,4] Revolve the graph about the x-axis. Find the area of the surface obtained.

    Thanks.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:09 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/surface-area-revolution-4923

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    Solution Summary

    The surface of the area of revolution is calculated. The surface obtained for closed domain are given.

    $2.19

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