Minimize the function ƒ : R² → R given by f(x1,x2) = x² + 2×₁×2 + x² on the set X = {(x1, x2) Є R² : x1 + x2 − 1 = 0}.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Minimize the function ƒ : R² → R given by f(x1,x2) = x² + 2×₁×2 + x² on the set
X = {(x1, x2) Є R² : x1 + x2 − 1 = 0}.
Transcribed Image Text:Minimize the function ƒ : R² → R given by f(x1,x2) = x² + 2×₁×2 + x² on the set X = {(x1, x2) Є R² : x1 + x2 − 1 = 0}.
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