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Consider the critic point (a,b) with positive X coordinates, that point generates a saddle poir What's the value for a and b?

Consider the critic point (a,b) with positive X coordinates, that point generates a saddle poir What's the value for a and b?

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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Let be a function that allows continuous second partial derivatives, we know that: Vf(x, y) = (16x³ - xy²,4y³ - x²y - 24y² + 36y) fxx = 48x² - y² fyy = 12y²x² - 48y + 36y fxy = -2xy Consider the critic point (a,b) with positive X coordinates, that point generates a saddle point. What's the value for a and b?
Transcribed Image Text:Let be a function that allows continuous second partial derivatives, we know that: Vf(x, y) = (16x³ - xy²,4y³ - x²y - 24y² + 36y) fxx = 48x² - y² fyy = 12y²x² - 48y + 36y fxy = -2xy Consider the critic point (a,b) with positive X coordinates, that point generates a saddle point. What's the value for a and b?
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