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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
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-
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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