Find all local maxima, local minima, and saddle points for f(x₁,x₂)=x²-3xx²+x₂² (a) (0,0) iù a saddle point, (3-3) ( 3 3 2 2 are each a local minimum of f. 2 2 3 3 3 3 (b) (0,0) is a saddle point, ( are each a local minimum of f. 2'2 2'2 3 3 (c) (0,0) is a saddle point, are each a local maximum of f. 2'2 (d) (0,0) is a saddle point, are each a local maximum of f. 3|2 25) MIN MIN
Find all local maxima, local minima, and saddle points for f(x₁,x₂)=x²-3xx²+x₂² (a) (0,0) iù a saddle point, (3-3) ( 3 3 2 2 are each a local minimum of f. 2 2 3 3 3 3 (b) (0,0) is a saddle point, ( are each a local minimum of f. 2'2 2'2 3 3 (c) (0,0) is a saddle point, are each a local maximum of f. 2'2 (d) (0,0) is a saddle point, are each a local maximum of f. 3|2 25) MIN MIN
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:Find all local maxima, local minima, and saddle points for f(x₁, x₂ ) = x₁²-3x₂x₂²+x₂².
3 3 3 3
(a) (0,0) ia saddle point,
--
are each a local minimum of f.
2'2
2 2
3 3
3 3
(b) (0,0) is a saddle point,
are each a local minimum of f.
2'2
2'2
(3 3 3 3
(c) (0,0) is a saddle point,
are each a local maximum of f.
2 2
2 2
33 3
(d) (0,0) is a saddle point,
are each a local maximum of f.
2 2
2 2
Answer
A
B
-1
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