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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Suppose that f(x, y) = x² − xy + y² − 4x + 4y with D = {(x, y) |0 ≤ y ≤ x ≤ 4}.
1. The critical point of f(x, y) restricted to the boundary of D, not at a corner point,
a =
and b =
2. Absolute minimum of f(x,y) is
and absolute maximum is
at (a, b). Then

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