Determine which of the following pairs of functions are linearly independent. 1. f(x) = x² g(x) = 4|x|² NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER " ✓ 2. f(x) = e4x ✓ 3. f(0) = cos(30) " g(x) = 4(x-3) 2 g(0) = 4 cos³ (0) - 4 cos(0) 4. f(t) = 3t, g(t) = |t|

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Determine which of the following pairs of functions are linearly independent.
1. f(x) = x² g(x) = 4|x|²
NO_ANSWER
NO_ANSWER
NO_ANSWER
NO_ANSWER
"
✓ 2. f(x) = e4x
✓ 3. f(0) = cos(30)
✓ 4. f(t) = 3t, g(t) = |t|
"
g(x) = 4(x-3)
2
g(0) = 4 cos³ (0) - 4 cos(0)
Transcribed Image Text:Determine which of the following pairs of functions are linearly independent. 1. f(x) = x² g(x) = 4|x|² NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER " ✓ 2. f(x) = e4x ✓ 3. f(0) = cos(30) ✓ 4. f(t) = 3t, g(t) = |t| " g(x) = 4(x-3) 2 g(0) = 4 cos³ (0) - 4 cos(0)
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