y)=x²−xy+y2—3x+3y with D= {(x,y)|0 ≤ y ≤ e critical point of f(x,y) restricted to the boundary of D, n int, is at (a,b). Then a = db= solute minimum of f(x,y) is d the absolute maximum is
y)=x²−xy+y2—3x+3y with D= {(x,y)|0 ≤ y ≤ e critical point of f(x,y) restricted to the boundary of D, n int, is at (a,b). Then a = db= solute minimum of f(x,y) is d the absolute maximum is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:Suppose
that f(x,y)=x²-xy+y²-3x+3y with
D={(x,y)|0<y<x<3}
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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