Where (x, y) = What are the feasible directions at the point (0, 1). Does (0, 1) satisfy the FONC? Does (0, 1) satisfy the SONC?

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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Let
N = {(x, y) = R² | 4x² + y² ≥ 1}.
Consider the following optimization problem for the function f(x, y): R²- →R where
f(x, y) =y² + x².
Minimize f(x, y) =y² + x²
Where (x,y) ΕΩ
Transcribed Image Text:Let N = {(x, y) = R² | 4x² + y² ≥ 1}. Consider the following optimization problem for the function f(x, y): R²- →R where f(x, y) =y² + x². Minimize f(x, y) =y² + x² Where (x,y) ΕΩ
Where
(x, y) =!
What are the feasible directions at the point (0, 1).
Does (0, 1) satisfy the FONC?
Does (0, 1) satisfy the SONC?
Transcribed Image Text:Where (x, y) =! What are the feasible directions at the point (0, 1). Does (0, 1) satisfy the FONC? Does (0, 1) satisfy the SONC?
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