Answer: 512 Use Lagrange multipliers to find the maximum and minimumvalues of f subject
Chapter 13, Problem 12(choose chapter or problem)
\(5–12\) Use Lagrange multipliers to find the maximum and minimum values of \(f\) subject to the given constraint. Also, find the points at which these extreme values occur.
\(f(x, y, z)=x^{4}+y^{4}+z^{4} ; \ x^{2}+y^{2}+z^{2}=1\)
Equation Transcription:
5-12
f
Text Transcription:
5-12
f
f(x, y, z) = x^4 + y^4 + z^4; x^2 + y^2 + z^2 = 1
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