Exercise 1: Are f(x) = cos 2x - 2 cos x and g(x) = cos 2x + 2 sin x linearly independent? Exercise 2: Determine whether the given functions are linearly independent {x, e2:+1, e31-4] Exercise 3: Let fi(x) = x2 and f2(x) = xx| 1. Show that W(fi(x), f2(x)) = 0 for every real number. What do you conclude ? (Justify your answer). 2. Determine whether f1 and f2 are linearly dependent on (-oo, too) (Justify your answer)