The function ​f(x,y,z)=3x−3y+2z has an absolute maximum value and absolute minimum value subject to the constraint x2+y2+z2=22. Use Lagrange multipliers to find these values. The absolute maximum and min ?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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The function ​f(x,y,z)=3x−3y+2z has an absolute maximum value and absolute minimum value subject to the constraint x2+y2+z2=22. Use Lagrange multipliers to find these values. The absolute maximum and min ?

The function ​f(x,y,z)=7x has an absolute maximum value and absolute minimum value subject to the constraint x2+y2+z2−z=1. Use Lagrange multipliers to find these values and find The maximum value and minimum

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