Find an absolute extrema of f(x,y)=2x² - 4x + y² - 4y +1 on the closed triangular region bounded by the lines x = 0, y = 2 and y = 2x.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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3. Find an absolute extrema of f(x, y) = 2x² - 4x + y² - 4y +1 on the closed triangular
region bounded by the lines x = 0, y = 2 and y = 2x.
Transcribed Image Text:3. Find an absolute extrema of f(x, y) = 2x² - 4x + y² - 4y +1 on the closed triangular region bounded by the lines x = 0, y = 2 and y = 2x.
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