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Thread: sketching a multivariable graph

  1. November 14th 2008, 06:25 PM #1
    khuezy
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    sketching a multivariable graph

    Sketch the region bounded by

    z = 3x^2 + y^2 and z = 6 − 3x^2 − y^2

    how would I begin to sketch this out?
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  2. November 15th 2008, 08:30 AM #2
    Mathstud28
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    Quote Originally Posted by khuezy View Post
    Sketch the region bounded by

    z = 3x^2 + y^2 and z = 6 − 3x^2 − y^2

    how would I begin to sketch this out?
    Try plotting several level curves and see if you can get an idea as to what the curve looks like. Or cheat and graph it on your calculator . You should know it will be the intersection of two paraboloids.
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