Problem 10.4. In the following problems, determine whether the given functions are linearly independent or linearly dependent on the indicated interval I.
a) f1(x) = 0, f2(x) = sin(x), f3(x) = e^x, I = (-โ, โ)
b) f1(x) = 1, f2(x) = cos(x), f3(x) = cos(2x), I = (-โ, โ)
c) f1(x) = e, f2(x) = c^2x, f3(x) = e^3x, I = (1, โ)
d) f1(x) = f2(x) = cos(x), f3(x) = sin(x), I = (0, โ)
e) f1(x) = x, f2(x) = cos(ln(x)), f3(x) = sin(ln(x)), I = (0, โ)