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Math Help - Calculus Rotations Help!!!!

  1. #1
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    May 2009
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    Arrow Calculus Rotations Help!!!!

    Hello, I'm am really suck on these problems. If you're really smart I could use your help right now!

    Use the disk method to find the volume of the solid:
    y=2x-1, x=0, y=x^2 rotated about line y=3

    Use the disk and shell method to solve this rotation:
    y=-x^2+16, Y=16, X=4 about line x=2

    Use either method to solve this rotation:
    y=cos(x), y=sin(x), x=pi/4, x=5pi/4, about line x=5pi/4

    Please help. I've been working on then for hours and have some equations but I don' know if they are right!
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  2. #2
    Member
    Joined
    Dec 2008
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    Quote Originally Posted by Cat27 View Post
    Hello, I'm am really suck on these problems. If you're really smart I could use your help right now!

    Use the disk method to find the volume of the solid:
    y=2x-1, x=0, y=x^2 rotated about line y=3

    Use the disk and shell method to solve this rotation:
    y=-x^2+16, Y=16, X=4 about line x=2

    Use either method to solve this rotation:
    y=cos(x), y=sin(x), x=pi/4, x=5pi/4, about line x=5pi/4

    Please help. I've been working on then for hours and have some equations but I don' know if they are right!
    I'm going to do the last one only and leave the other two for others.

    Ok, here's what I think the integral should be:

    2piINTEG: (sinx-cosx)(5pi/4 -x) dx  with limits from x=pi/4 to x=5pi/4
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  3. #3
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    May 2009
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    thanks for the help! I solved the others in class already. It just took a little longer than I thought to get to the solutions.
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