Suppose that f(x, y) = x² – xy + y² – 2x + 2y with D = {(x, y) | 0 < y <¤ < 2}. %3D 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that f(x, y) = x² – xy + y?
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 the absolute maximum is
Transcribed Image Text:Suppose that f(x, y) = x² – xy + y? 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 the absolute maximum is
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