Question 3 [14 marks] Consider a relation R(A, B, C, D, E, F) and the set of functional dependencies FD = { C AD, AB C}. Produce a lossless BCNF decomposition for this schema (list both the relations and the corresponding set of functional dependencies for each of the relations in the decomposition). Show the full details of your work. Is it dependency-preserving? Explain why. If your BCNF decomposition is not dependency preserving, provide a dependency-preserving 3NF decomposition (list both the relations and the corresponding set of functional dependencies). Show the full details of your work