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O f(x, y) = x² + y² R = {(x, y) | on 0≤x≤1, 0≤ y ≤2-2x}

O f(x, y) = x² + y² R = {(x, y) | on 0≤x≤1, 0≤ y ≤2-2x}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the absolute maxima and minima of f(x, y) on the given regions Of(x, y) = x² + y² 0≤ y ≤2-2x} on R = {(x,y) | 0≤x≤1, f(x,y)=x+x² + 2y² 3 f(x, y) = x³ - y³ - 27xy on R = {(x,y) |1 ≤ x² + y² ≤ 4} on R= [1,2] x [3,4]
Transcribed Image Text:Find the absolute maxima and minima of f(x, y) on the given regions Of(x, y) = x² + y² 0≤ y ≤2-2x} on R = {(x,y) | 0≤x≤1, f(x,y)=x+x² + 2y² 3 f(x, y) = x³ - y³ - 27xy on R = {(x,y) |1 ≤ x² + y² ≤ 4} on R= [1,2] x [3,4]
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