Q.3 [16 pts, 8 pts each] Given the relation schema R(A, B, C, D, E). Determine whether each of the following functional dependencies can be derived from the given functional dependency set F.
(a) AE \rightarrow C F = \{B \rightarrow D, AB \rightarrow C, E \rightarrow D, BD \rightarrow C\}
(b) A \rightarrow C F = \{A \rightarrow B, A \rightarrow D, E \rightarrow D, BD \rightarrow C\}