Suppose that f(x, y) = x² − xy + y² − 3x + 3y with D = {(x, y) | 0 ≤ y ≤ x ≤ 3}. 1. The critical point of f(x, y) restricted to the boundary of D, not at a corner point, is at (a, b). Then a = and b = 2. Absolute minimum of f(x, y) is and the absolute maximum is

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 − 3x + 3y with D = {(x, y) | 0 ≤ y ≤ x ≤ 3}.
1. The critical point of f(x, y) restricted to the boundary of D, not at a corner point, is at (a, b). Then
a =
and b =
2. Absolute minimum of f(x, y) is
and the absolute maximum is
Transcribed Image Text:Suppose that f(x, y) = x² − xy + y² − 3x + 3y with D = {(x, y) | 0 ≤ y ≤ x ≤ 3}. 1. The critical point of f(x, y) restricted to the boundary of D, not at a corner point, is at (a, b). Then a = and b = 2. Absolute minimum of f(x, y) is and the absolute maximum is
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