Let V be the set of all continuous and differentiable real valued functions defined on ℝ. Verify whether the following subsets of V are subspaces of V or not? Justify your answers. (a) W1 is the set...

Let V be the set of all continuous and differentiable real valued functions defined on ℝ.
Verify whether the following subsets of V are subspaces of V or not? Justify your answers.
(a) W1 is the set of functions f : ℝ −> ℝ such that f(2) = 0 and f(0) = 2.
(b) W2 is the set of functions f : ℝ −> ℝ such that f(1) = 0 and f’(2)=0