Find the absolute maxima. and minima of 2 the function f(x,y) = x²+ y² on the closed triangular plate bounded by the lines X=09 y=0y+2x=2 in the first quadrant?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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H.w
Find the absolute maxima and minima of
the function f(x,y) = x²+ y² on the closed
2
triangular plate bounded by the lines X=09
y=0,Y+2x=2 in the first quadrant?
4+2x=-2
ansi-
max. is 4 at (0,2)
min iso at lo,0)
Transcribed Image Text:H.w Find the absolute maxima and minima of the function f(x,y) = x²+ y² on the closed 2 triangular plate bounded by the lines X=09 y=0,Y+2x=2 in the first quadrant? 4+2x=-2 ansi- max. is 4 at (0,2) min iso at lo,0)
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