We know that f(x, y, z)= x³- 9x² + y² + z² +24x-4z +20. Determine the optimum value of the function f(x, y, z) and state that the optimum value is the maximum or minimum value.

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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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We know that f(x, y, z)= x³- 9x² + y² + z² +24x-4z +20. Determine the optimum value of the function f(x, y, z) and state that the optimum value is the maximum or minimum value.
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