linearly independent functions

linearly independent functions

In Problems 15–22 determine whether the given set of functions is linearly independent on the interval (–8, 8).

15. f1(x) = x, f2(x) = x2, f3(x) = 4x = 3×2
16. f1(x) = 0, f2(x) = x, f3(x) = ex
17. f1(x) = 5, f2(x) = cos2x, f3(x) = sin2x
18. f1(x) = cos 2x, f2(x) = 1, f3(x) = cos2x
19. f1(x) = x, f2(x) = x – 1, f3(x) = x + 3
20. f1(x) = 2 + x, f2(x) = 2 + |x|
21. f1(x) = 1 + x, f2(x) = x, f3(x) = x2

22. f1(x) = ex, f2(x) = e–x, f3(x) = sinh x