The function f(x,y) = e 1xy has an absolute maximum value and absolute minimum value subject to the constraint x2 + xy + y = 36. Use Lagrange multipliers to find these values. The absolute maximum 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
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The function f(x,y) = e 1xy has an absolute maximum value and absolute minimum value subject to the constraint x + xy + y = 36. Use Lagrange multipliers to find these values.
The absolute maximum is
(Type an exact answer in terms of e.)
Transcribed Image Text:The function f(x,y) = e 1xy has an absolute maximum value and absolute minimum value subject to the constraint x + xy + y = 36. Use Lagrange multipliers to find these values. The absolute maximum is (Type an exact answer in terms of e.)
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