2. (2 points) Let V be the vector space of all continuous functions f : R -> R. Decide whether the following statements are true or false. Motivate your answers. (i) span 1, sina, cosa, sin r, cosa} is a vector subspace of V. (ii) The three functions fi(x) = x, f2(x) = x2, f3(x) = 1 + x are linearly independent. (iii) The two functions {c, I - 1} form a basis for the subspace W = {fEV; f(0) = f(1) = 0}, consisting of all continuous functions that vanish at the points r = 0 and r = 1