3) Show that the function f(x) = x^2 + y^3 satisfies the second-order necessary conditions at (0,0) but does not have a minimum at (0,0).
3) Show that the function f(x) = x^2 + y^3 satisfies the second-order necessary conditions at (0,0) but does not have a minimum at (0,0).
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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Transcribed Image Text:4.
second-order
at (0,0).
Show that the function f(x) = x^2 + y^3 satisfies the
necessary conditions at (0,0) but does not have a minimum
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