Explore BrainMass

Explore BrainMass

    Surface of Revolution

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

    Y=2*sqrt[x] y=0, x=3

    We are using the following formula 2pi intergal of r(x) times the sqrt of 1 + (f'(x))^2.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:47 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/surface-revolution-11116

    Solution Preview

    Well, there is vagueness here. I am not sure whether the rotation has been about the x-axis or y-axis. Your question is about the method of integration. Well, I consider both cases i.e. rotation about x-axis and rotation about y-axis. y=0 implies that x=0, so the integral will be taken from x=0 to x=3.

    Case I- About x-axis:

    but we can merge the integrand expressions, ...

    Solution Summary

    The method of finding a surface of revolution is discussed.

    $2.19

    ADVERTISEMENT