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Lagrange Multipliers

  1. Apr 9, 2005 #1
    Greetings all,

    Find the max and min values of
    subject to
    x+y-z=0, x^(2)+2z^(2)=1

    can anybody help me get this problem started.

  2. jcsd
  3. Apr 9, 2005 #2
    Just write the Lagrange function of the problem:

    [tex] F(x,y,z)=3x-y-3z+\lambda_1(x+y-z)+\lambda_2(x^{2}+2z^{2}-1)[/tex]

    Then find the partial derivatives (they have to be 0), and solve the system of equasions.
  4. Apr 9, 2005 #3


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    You'll find the critical points,though...You can't be sure which is a mex & which is a min...

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