Suppose that f(x, y) = x² – xy+ y² – x + y with D = {(x, y) |0 < y< x < 1}. 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 nmaximum is

Suppose that f(x, y) = x² – xy+ y² – x + y with D = {(x, y) |0 < y< x < 1}. 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 nmaximum 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 31E

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Question

Please double check your answer.

Suppose that f(x, y) = x²
– xy + y? – x + y with D = {(x, y) | 0 < y < < 1}.
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 nmaximum is

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