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Database Management SystemFor relation R(A,B,C,D,E) functional dependencies are given as follows: * A \rightarrow BC * CD \rightarrow E * B \rightarrow D Find candidate keys.20254mDatabase Management SystemYou are given the following set F of functional dependencies for a relation: R(A, B, C, D, E, F): F = {ABC → D, ABD → E, CD → F, CDF → B, BF → D} (i) Find all keys of R based on these functional dependencies. (ii) Is this relation in Boyce-Codd normal form? Is it 3NF? Explain your answer. (iii) Can the set F be simplified (by removing functional dependencies or by removing attributes from the left-hand side of functional dependencies) without changing the closure of F (i.e. F+)?20199mDatabase Management SystemCompute the closure of the following set F of functional dependencies for relation schema: R = (A, B, C, D, E). A → BC, CD → E, B → D, E → A List the candidate keys for R.20195mDatabase Management SystemConsider the relation scheme R = {E, F, G, H, I, J, K, L, M, N} and the set of functional dependencies {{E, F} → {G}, {F} → {I, J}, {E, H} → {K, L}, K → {M}, L → {N}} on R. What is the key for R? (i) {E, F} (ii) {E, F, H} (iii) {E, F, H, K, L} (iv) {E}20192m