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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values he function subject to the given constraint. f(x,y,z,t) = x+y+z+1, x² + y² +z²+1²= 25 maximum value minimum value

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values he function subject to the given constraint. f(x,y,z,t) = x+y+z+1, x² + y² +z²+1²= 25 maximum value minimum value

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 32P
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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y, z, t) = x+y+z+t, x² + y² +z²+1²= 25 maximum value minimum value
Transcribed Image Text:This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y, z, t) = x+y+z+t, x² + y² +z²+1²= 25 maximum value minimum value
Use Lagrange multipliers to find the dimensions (in meters) of a rectangle with perimeter 120 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.) m Need Help? Read It
Transcribed Image Text:Use Lagrange multipliers to find the dimensions (in meters) of a rectangle with perimeter 120 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.) m Need Help? Read It
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