ippose that J (2 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 absolute maximum is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Suppose that f(x, y) = x² − xy + y² − 2x + 2y with D = {(x, y) | 0 ≤ y ≤ x ≤ 2}.
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 absolute maximum is
Transcribed Image Text:Suppose that f(x, y) = x² − xy + y² − 2x + 2y with D = {(x, y) | 0 ≤ y ≤ x ≤ 2}. 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 absolute maximum is
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