Suppose that f(x, y) = x² − xy + y² − z +y with D = {(x, y) |0 ≤ y ≤x≤ 1}. 1. The critical point of f(z,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 15/06/2023 15:5
Suppose that f(x, y) = x² − xy + y² − z +y with D = {(x, y) |0 ≤ y ≤x≤ 1}. 1. The critical point of f(z,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 15/06/2023 15:5
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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![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 maximum is
15/06/2023 15:54](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d90b66-3d5f-498d-9dbf-0608f3662e4d%2F8b210c44-5703-4a31-83d9-e85af5734231%2Fj9108co_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 maximum is
15/06/2023 15:54
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