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

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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