Find the indicated maximum or minimum value of f subject to the given constraint. ​Maximum: ​f(x,y,z)​ = x^2 y^2 z^2; x^2 + y^2 + z^2 = 5 The maximum value is _.   ​(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the​ expression.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Find the indicated maximum or minimum value of f subject to the given constraint.

​Maximum: ​f(x,y,z)​ = x^2 y^2 z^2; x^2 + y^2 + z^2 = 5

The maximum value is _.
 
​(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the​ expression.)
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