Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = 11x + 22y + 2z; 2x² + 4y² + z? = 742 Мaximum: i at ( i i i Minimum: i at ( i i i

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 f subject to the given constraint. Also, find the points at which
these extreme values occur.
f(x, y, z) = 11x + 22y + 2z; 2x² + 4y² + z? = 742
Maximum: i
at ( i
i
i
Minimum: i
at ( i
i
i
Transcribed Image Text:Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = 11x + 22y + 2z; 2x² + 4y² + z? = 742 Maximum: i at ( i i i Minimum: i at ( i i i
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should i write it with variables like x = 11, y = 11, z = 4? but it says exact number, no tolerance. thanks

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