to find the maximum and minimum values

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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Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.)

f(x, y, z) = x2 + y2 + z2;    x4 + y4 + z4 = 11
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