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) = xy; 72x² + 8y² = 1296 Enter your answers for the points in order of increasing x-value. Maximum: i at ( i ) and ( i Minimum: i at ( i i ) and ( i i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 1E
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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) = xy; 72x² + 8y² = 1296
Enter your answers for the points in order of increasing x-value.
Maximum: i
at ( i
i
) and (
i
Minimum: i
at (
i
i
) and (
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) = xy; 72x² + 8y² = 1296 Enter your answers for the points in order of increasing x-value. Maximum: i at ( i i ) and ( i Minimum: i at ( i i ) and ( i i
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