(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use Lagrange multipliers to ¯nd the maximum and mini-

mum value(s), if they exist, of

f(x; y; z) = x^2 -2y + 2z^2

subject to the constraint x^2+y^2+z^2

2. Relevant equations

3. The attempt at a solution

Basically after I find the gradient of the functions I get this.

2x=2x lamda

-2=2y lamda

4z=2z lamda.

One case lamda equals 1 while the other it equals 2. Does this mean that the Lagrange Mult can't be used?

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# Homework Help: It appears that the Lagrange Multiplier is failing due to different values of Lamda.

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