Assignment:
Let V be the vector space of all functions f: R->R. Determine whether the following subsets of V form subspaces.
a) U = {f belongs to V | f(0) = 0}
b) W = {f belongs to V | f(x) = k1 + k2 sinx for some k1,k2 are reals}.
Provide complete and step by step solution for the question and show calculations and use formulas.