1.1 Consider the function f(x)=x|x³|, the function may have the following properties: [1] the point x = 0) is a critical point; [2] the point x = 0) is a stationary point; [3] the point x = = 0 is a saddle point; [4] the function is unimodal in the domain|x|≤1; [5] it is a coercive function. Then it is in general correct to say that ONLY [1], [2], [3] and [4] are correct [1] [5] are all correct (a) (b) (c) (d) ~ ONLY [1], [2], [3] are correct ONLY [4], [5] are correct
1.1 Consider the function f(x)=x|x³|, the function may have the following properties: [1] the point x = 0) is a critical point; [2] the point x = 0) is a stationary point; [3] the point x = = 0 is a saddle point; [4] the function is unimodal in the domain|x|≤1; [5] it is a coercive function. Then it is in general correct to say that ONLY [1], [2], [3] and [4] are correct [1] [5] are all correct (a) (b) (c) (d) ~ ONLY [1], [2], [3] are correct ONLY [4], [5] are correct
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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![1.1 Consider the function f(x)=x|x³|, the function may have the following properties: [1] the
point x = 0) is a critical point; [2] the point x = 0) is a stationary point; [3] the point x = 0 is
a saddle point; [4] the function is unimodal in the domain|x|<1; [5] it is a coercive
function. Then it is in general correct to say that
ONLY [1], [2], [3] and [4] are correct
[1] [5] are all correct
(a)
(b)
~
ONLY [1], [2], [3] are correct
ONLY [4], [5] are correct](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3306ea0d-0f79-489f-b4ee-38af79ef2243%2Fede97af5-ef36-4f01-a331-3bf274f9222f%2Ft4hmptk_processed.png&w=3840&q=75)
Transcribed Image Text:1.1 Consider the function f(x)=x|x³|, the function may have the following properties: [1] the
point x = 0) is a critical point; [2] the point x = 0) is a stationary point; [3] the point x = 0 is
a saddle point; [4] the function is unimodal in the domain|x|<1; [5] it is a coercive
function. Then it is in general correct to say that
ONLY [1], [2], [3] and [4] are correct
[1] [5] are all correct
(a)
(b)
~
ONLY [1], [2], [3] are correct
ONLY [4], [5] are correct
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