Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    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)
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook