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Determine which of the following pairs of functions are linearly independent. 1. f(t) = 3t, g(t) = |t| g(x) = 4|x|² g(x) = |x|³ NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER ✓ 2. f(x) = x² " ✓ 3. f(x) = x³ ✓4. f(0) = cos(30) 7 " g(0) = 8 cos³ (0) - 6 cos(0)

Determine which of the following pairs of functions are linearly independent. 1. f(t) = 3t, g(t) = |t| g(x) = 4|x|² g(x) = |x|³ NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER ✓ 2. f(x) = x² " ✓ 3. f(x) = x³ ✓4. f(0) = cos(30) 7 " g(0) = 8 cos³ (0) - 6 cos(0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine which of the following pairs of functions are linearly independent. 1. f(t) = 3t, g(t) = |t| g(x) = 4|x|² g(x) = |x|³ NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER ✓ 2. f(x) = x² " ✓ 3. f(x) = x³ ✓4. f(0) = cos(30) 7 " g(0) = 8 cos³ (0) - 6 cos(0)
Transcribed Image Text:Determine which of the following pairs of functions are linearly independent. 1. f(t) = 3t, g(t) = |t| g(x) = 4|x|² g(x) = |x|³ NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER ✓ 2. f(x) = x² " ✓ 3. f(x) = x³ ✓4. f(0) = cos(30) 7 " g(0) = 8 cos³ (0) - 6 cos(0)
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