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Math Help - area of the surface of rotation for a parametric curve.

  1. #1
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    area of the surface of rotation for a parametric curve.

    this is actually something that my professor decided not to cover (it's not specifically on the department requirements.) the text has a formula for working these types of problems.

    thanks for the help
    Last edited by bkbowser; October 19th 2012 at 05:11 PM. Reason: i was mistaken.
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  2. #2
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    Re: area of the surface of rotation for a parametric curve.

    I can't understand what you have written. You say "the exact area of the surface obtained by rotating the given curve around the x-axis." But give two functions- each is given as a function of "t" but you have "[itex]\theta[/itex]" in the formulas.
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  3. #3
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    Re: area of the surface of rotation for a parametric curve.

    Hey bkbowser.

    Just to clear things up, is the t meant to be theta and is the a meant to be the radius r?

    If you want to get this in the form of pi*f(x)^2*dx, then you will need to use a Jacobian transformation to go from (r,theta) space to (x,y) space.

    Are you trying to the difference in volume where you rotate two functions to obtain the volume in-between those objects (as you said, a 'washer' problem)?

    Please give us the equations in terms of either (r,theta) or (x,y) only as to avoid confusion.
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