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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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