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Math Help - Help with parametrizing a surface

  1. #1
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    Help with parametrizing a surface

    Hey I am working on a problem involving Stokes Theorem, and have found the curl to be <-3y, xz, 0>
    So to find the integrand I need to take the dot product of this and the normal vector of the surface, but I am having trouble parametrizing the surface.
    The surface is defined as 2z = x^2 + y^2 below the plane z = 1 - y

    I need to find the normal vector in terms of two variables and also the bounds of these two variables
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  2. #2
    MHF Contributor
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    Re: Help with parametrizing a surface

    Hey sdsu619.

    For your surface 2z = x^2 + y^2, this should like a cone:

    Cone -- from Wolfram MathWorld
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