Determine which of the following pairs of functions are linearly independent. NO ANSWER + 1. f(x) = x² , g(x) = 4|x|2 NO ANSWER * 2. f(1) = ed"cos(Ht) g(1) = eA"sin(ut) ,u #0 NO ANSWER 3. f(0) = cos(30) g(6) = 2 cos (8) – 2 cos(8) %3D %3D NO ANSWER + 4. f(t) = 3t g(t) = |t|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine which of the following pairs of functions are linearly independent.
NO ANSWER
+ 1. f(x) = x² , g(x) = 4|x|2
NO ANSWER
* 2. f(1) = ed"cos(Ht)
= ed'sin(ut) ,u # 0
NO ANSWER
3. f(0) = cos(30)
g(6) = 2 cos (8) – 2 cos(8)
%3D
NO ANSWER
+ 4. f(t) = 3t
g(t) = |t|
Transcribed Image Text:Determine which of the following pairs of functions are linearly independent. NO ANSWER + 1. f(x) = x² , g(x) = 4|x|2 NO ANSWER * 2. f(1) = ed"cos(Ht) = ed'sin(ut) ,u # 0 NO ANSWER 3. f(0) = cos(30) g(6) = 2 cos (8) – 2 cos(8) %3D NO ANSWER + 4. f(t) = 3t g(t) = |t|
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