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Parametrizing a paraboloid

  1. Apr 13, 2005 #1
    how do I parametrize the paraboloid z = x^2 + y^2 ? thx
     
  2. jcsd
  3. Apr 13, 2005 #2

    cronxeh

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    Gold Member

    x= r*cos(theta)
    y=r*sin(theta)
    z=z

    x^2 + y^2 = r^2
    z = r^2

    0 <= theta <= 2*pi
    0 <= r <= 1

    so your new function is now f(r,theta)
     
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