Find the absolute maximum and minimum values of the function f ( x,y )= x2 + y2 - x - y + 1   on a triangular region with vertices ( 0,0 ) , ( 2,0 ) and ( 0,2 )

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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Find the absolute maximum and minimum values of the function

f ( x,y )= x2 + y2 - x - y + 1   on a triangular region with vertices ( 0,0 ) , ( 2,0 ) and ( 0,2 ). 

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