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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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Need help with part b). Thank you :)

Consider the function ƒ : R² → R given by
(a) The global maximum of f(x, y) occurs at the point
(-1
)
f(x, y) =
4
X
y
2x² + y² + xy + 14
(b) The method of Lagrange multipliers can be used to show that the maximum value of the function f(x, y) subject to the constraint
x - y = 1 occurs at the point
(-1
4 x )

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