Determine which of the following pairs of functions are linearly independent. 1. f(x) = x²92. f(0) = cos(30)g(x) = 4|x|²3. f(t) = e¹t cos(ut)4. f(x) = e³x999g(0) = 12 cos³ (0) — 9 cos(0)g(t) = et sin(ut) ,μ ‡0g(x) = e³(x-3)

Answered: Image /qna-images/answer/9b83e421-0a3c-437c-aa99-2c4db6770a27.jpg

Answered: 1. f(x) = x² 9 2. f(0) = cos(30) g(x) =…

1. f(x) = x² 9 2. f(0) = cos(30) g(x) = 4|x|² 3. f(t) = et cos(ut) 4. f(x) = e³x 9 9 9 g(0) = 12 cos³ (0) — 9 cos(0) g(t) = et sin(ut)‚μ‡0 g(x) = e³(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.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 6E: Find derivatives of the functions defined as follows. y=-4e-0.3x

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Question

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Determine which of the following pairs of functions are linearly independent.

1. f(x) = x²
9
2. f(0) = cos(30)
g(x) = 4|x|²
3. f(t) = e¹t cos(ut)
4. f(x) = e³x
9
9
9
g(0) = 12 cos³ (0) — 9 cos(0)
g(t) = et sin(ut) ,μ ‡0
g(x) = e³(x-3)

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