Use Lagrange multipliers to find the maximum and minimum values of f(x,y,z)=3x+3y+3z, subject to the constraint x2+y2+z2=9 , if such values exist. maximum = minimum =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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Use Lagrange multipliers to find the maximum and minimum values of f(x,y,z)=3x+3y+3z, subject to the constraint x2+y2+z2=9

, if such values exist.

maximum =
minimum =

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