Linear Dependence and Linear Independence In Problems 15-22 determine whether the given functions are pendent or dependent on (-∞, ∞). 4.1.2 f(x) = x², f3(x) = 4x - 3x² f(x) = x, f(x) = ex f₂(x) = cos²x, 15. f(x) = x, 16. f(x) = 0, 17. fi(x) = 5, 18. f₁(x) = cos 2x, f₂(x) = 1, 19. f(x) = x, f₂(x) = x - 1, 20. f(x) = 2 + x, f(x) = sin²x f3(x) = cos²x f3(x) = x + 3 f₂(x) = 2 + x| 21. f(x) = 1 + x, f₂(x) = x, 22. fi(x) = e*, fz(x) = e*, f(x) = x² fs(x) = sinh x linearly inde-
Linear Dependence and Linear Independence In Problems 15-22 determine whether the given functions are pendent or dependent on (-∞, ∞). 4.1.2 f(x) = x², f3(x) = 4x - 3x² f(x) = x, f(x) = ex f₂(x) = cos²x, 15. f(x) = x, 16. f(x) = 0, 17. fi(x) = 5, 18. f₁(x) = cos 2x, f₂(x) = 1, 19. f(x) = x, f₂(x) = x - 1, 20. f(x) = 2 + x, f(x) = sin²x f3(x) = cos²x f3(x) = x + 3 f₂(x) = 2 + x| 21. f(x) = 1 + x, f₂(x) = x, 22. fi(x) = e*, fz(x) = e*, f(x) = x² fs(x) = sinh x linearly inde-
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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Can someone help me solve 15 and 17
![Linear Dependence and Linear Independence
In Problems 15-22 determine whether the given functions are
pendent or dependent on (-∞, ∞).
4.1.2
15. f₁(x) = x,
f₂(x) = x², f3(x) = 4x - 3x²
16. f(x) = 0,
f₂(x) = x, f(x) = ex
17. f₁(x) = 5,
f₂(x) = cos²x,
18. f₁(x) = cos 2x, f₂(x) = 1,
19. f(x) = x, f₂(x) = x - 1,
f(x) = sin²x
f3(x) = cos²x
f3(x) = x + 3
20. f(x) = 2 + x,
f₂(x) = 2 + x|
21. f₁(x) = 1 + x,
f₂(x) = x,
22. fi(x) = e*, fz(x) = e*,
f(x) = x²
fs(x) = sinh x
linearly inde-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25de04cf-e2a5-404e-a320-bf8f0014cf68%2F247bbb57-b859-4339-bcd7-de2892f6f4f3%2Fdr18ocy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Linear Dependence and Linear Independence
In Problems 15-22 determine whether the given functions are
pendent or dependent on (-∞, ∞).
4.1.2
15. f₁(x) = x,
f₂(x) = x², f3(x) = 4x - 3x²
16. f(x) = 0,
f₂(x) = x, f(x) = ex
17. f₁(x) = 5,
f₂(x) = cos²x,
18. f₁(x) = cos 2x, f₂(x) = 1,
19. f(x) = x, f₂(x) = x - 1,
f(x) = sin²x
f3(x) = cos²x
f3(x) = x + 3
20. f(x) = 2 + x,
f₂(x) = 2 + x|
21. f₁(x) = 1 + x,
f₂(x) = x,
22. fi(x) = e*, fz(x) = e*,
f(x) = x²
fs(x) = sinh x
linearly inde-
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