The function f(x,y) = e xy has an absolute maximum value and absolute minimum value subject to the constraint x +xy +y = 81. Use Lagrange multipliers to find these values. The absolute maximum is e 54 (Type an exact answer in terms of e.) The absolute minimum is (Type an exact answer in terms of e.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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The function f(x,y) = e 2x has an absolute maximum value and absolute minimum value subject to the constraint x +xy +y2 = 81. Use Lagrange multipliers to find these values.
The absolute maximum is e 54
(Type an exact answer in terms of e.)
The absolute minimum is .
(Type an exact answer in terms of e.)
Transcribed Image Text:The function f(x,y) = e 2x has an absolute maximum value and absolute minimum value subject to the constraint x +xy +y2 = 81. Use Lagrange multipliers to find these values. The absolute maximum is e 54 (Type an exact answer in terms of e.) The absolute minimum is . (Type an exact answer in terms of e.)
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