Determine which of the following pairs of functions are linearly independent. ✓ 1. f(x) = ³r g(z) = €5(x-3) ✓2. f(0) = cos(30) g(0) 20 cos¹ (0) - 15 cos(0) 3. f(t) = et cos(ut), g(t)= et sin(ut) ,μ#0 4. f(t) = 3t, g(t) = |t| NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER 3
Determine which of the following pairs of functions are linearly independent. ✓ 1. f(x) = ³r g(z) = €5(x-3) ✓2. f(0) = cos(30) g(0) 20 cos¹ (0) - 15 cos(0) 3. f(t) = et cos(ut), g(t)= et sin(ut) ,μ#0 4. f(t) = 3t, g(t) = |t| NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER 3
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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
Transcribed Image Text:Determine which of the following pairs of functions are linearly independent.
✓ 1. f(x) = 5x
g(z) = €5(x-3)
✓2. f(0) = cos(30)
g(0) 20 cos¹ (0) - 15 cos(0)
3. f(t) = et cos(ut), g(t)= et sin(ut) ,μ#0
4. f(t) = 3t, g(t) = |t|
NO_ANSWER
NO_ANSWER
NO_ANSWER
NO_ANSWER
3
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