Determine whether the given functions are linearly independent or linearly dependent:
(a) 2 - x2, 3x, x2 + x - 2
(b) 3x - 1, a (2 a + 1), jc (a- - 1)
(c) ex, ex+1
(d) sin x. sin(A + 1)
(e) ex,ex+l,ex+2
(0 sinx, sin(x-+1). sin(x + 2)
(g) ex,xex,x2ex
(h) ex, e2x. e3x
(i) x+.y, x-y+1, a+3y+2 -these are functions of two variables.