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Volume under the elliptic paraboloid

  1. Nov 6, 2008 #1
    Greetings again,

    this is another I'm stuck on...

    Calculate the volume under the elliptic paraboloid z = x^{2} + 4y^{2} and over the rectangle R = [-1, 1] \times [-4, 4].

    I'm not sure how to find the limits of z for the triple integral. Can I somehow integrate the function z, and only do a double integral? Perhaps going from -1, 0 and -4, 0 and then double it?
  2. jcsd
  3. Nov 6, 2008 #2
    I believe I figured it out now, never mind.
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