Suppose that f(x,y)=x²-xy+y²-3x+3y with D={(x,y)|0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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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