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Graph sketching, and easy approach?

  1. Dec 11, 2008 #1
    I have been given a multivariable function.

    Now to sketch it, I could plug in some arbitrary values and plot it out, but is there an easier way?

    How exactly can I figure out the sketch of a graph?

    F(x,y) = (c - x^2 - y^2)^(1/2), c is a constant
     
  2. jcsd
  3. Dec 11, 2008 #2

    Dick

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    One way is to think about the level surfaces of f(x,y). I.e. pick a constant K and figure out what the graph of f(x,y)=K looks like as a curve in the x-y plane.
     
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