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    Finding the area of the surface from revolving around the x-axis

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    Given:
    y = -x^2 + 4x

    defined on the closed domain [0,4]

    a) sketch the graph

    b) Revolve the graph about the x-axis. Find the area of the surface obtained.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:09 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/area-surface-revolving-around-axis-4881

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    The graph is correct. To find the area of ...

    Solution Summary

    A surface aof revolution is calculated using integrals. The area of the surface from revolving around the x-axis is examined.

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