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Level Curves and Graphs

  1. Sep 26, 2013 #1
    1. The problem statement, all variables and given/known data

    Describe the level surfaces and a section of the graph of each function/ or sketch
    f R3-R (x,y,z) -> 4x^2+y^2+9z^2

    describe the graph of each function by computing some level sets and sections
    (x,y,z) -> xy+z^2
    2. Relevant equations

    3. The attempt at a solution
    I know how to do it for two variables f(x,y), how do we do ti for (x,y,z)?
    I don't know how to start this question. Give me an idea please.

  2. jcsd
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