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Consider the fimction f(x, y) = x² + xy - 5x- y + 1. Then: (1,3) is a critical point and f has a local minimum at (1,3) (1,1) is a critical point and f has a local maximum at (1,1) (1,3) is a critical point and f has a saddle point at (1,3). None of these

Consider the fimction f(x, y) = x² + xy - 5x- y + 1. Then: (1,3) is a critical point and f has a local minimum at (1,3) (1,1) is a critical point and f has a local maximum at (1,1) (1,3) is a critical point and f has a saddle point at (1,3). None of these

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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Consider the finction f(x, y) = x² + xy – 5x- y + 1. Then: 2 %3D (1,3) is a critical point and f has a local minimum at (1,3) (1,1) is a critical point and f has a local maximum at (1,1) (1,3) is a critical point and f has a saddle point at (1,3). O None of these
Transcribed Image Text:Consider the finction f(x, y) = x² + xy – 5x- y + 1. Then: 2 %3D (1,3) is a critical point and f has a local minimum at (1,3) (1,1) is a critical point and f has a local maximum at (1,1) (1,3) is a critical point and f has a saddle point at (1,3). O None of these
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