? ? ? ? Determine which of the following pairs of functions are linearly independent. 1. f(x) = x³, g(x) = |x|³ 2. f(t) = 3t² + 21t, g(t) = 3t² - 21t 3. f(x) = x², g(x) = 4|x|² 4. f(x) = e³x, g(x) = ³(x-3)

? ? ? ? Determine which of the following pairs of functions are linearly independent. 1. f(x) = x³, g(x) = |x|³ 2. f(t) = 3t² + 21t, g(t) = 3t² - 21t 3. f(x) = x², g(x) = 4|x|² 4. f(x) = e³x, g(x) = ³(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 27E: Find derivatives of the functions defined as follows. y=34x2+2

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Question

?
?
Determine which of the following pairs of functions are linearly independent.
✓ 1. f(x) = x³, g(x) = |x|³
✓ 2. f(t) = 3t² + 21t,
3. f(x) = x²,
4. f(x) = e³x,
g(t) = 3t² − 21t
g(x) = 4|x|²
g(x) = µ³(x−3)

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