3. (10 points) For relation R(A,B,C,D) and FD= {AB->C, BC->D, CD->A,AD->B), which FD(S) violate(s) the BCNF rules and why. Hint: For each X->Y, it has to be trivial or X is the superkey. Otherwise it violates BCNF rule. 4. (10 points) R(A,B,C,D,E) and FD={BC->E). Let R(A,B,C,D,E) be decomposed into two relations R1(A,B,C,D), R2(B,C,E). Determine whether the decomposition is lossless Hint: Assume Rwas decomposed into two relations, say R1 and R2, if the common attributes between 1 and B2 determines B1 or R2 then thie dernmnosition is locelece