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 the absolute maximum is
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 the absolute maximum is
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 2YT
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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 the absolute maximum is
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