Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) =e5 " NO_ANSWER f(t) = et cos(μt) NO_ANSWER f(0) = cos(30) NO_ANSWER ƒ(x) = x³ " 1. g(x) = e5(x-3) 9 " 2. g(t) = et sin(ut) ,μ ‡ 3. g(0) = 20 cos³ (0) – 15 cos(0 î 4. 3 g(x) = |x|³

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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Determine which of the following pairs
of functions are linearly independent.
NO_ANSWER
f(x) = e5x
NO_ANSWER
f(t) = et cos(µt)
NO_ANSWER
cos (30)
f(0)
=
2
NO_ANSWER
f(x) = x³
9
◆
1.
g(x) = e5(x-3)
9
9
2.
g(t) = et sin(ut),μ‡0
3.
g(0) = 20 cos³ (0) – 15 cos(0)
-
4.
3
g(x) = |x|³
Transcribed Image Text:Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) = e5x NO_ANSWER f(t) = et cos(µt) NO_ANSWER cos (30) f(0) = 2 NO_ANSWER f(x) = x³ 9 ◆ 1. g(x) = e5(x-3) 9 9 2. g(t) = et sin(ut),μ‡0 3. g(0) = 20 cos³ (0) – 15 cos(0) - 4. 3 g(x) = |x|³
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