Given a relational schema R(A,B,C,D,E), and a set F of functional dependencies on R, compute a canonical cover for the above set functional dependencies F; give each step of your derivation with an explanation: (1) F={B->CD, C->E, B->E, D->E, D->BC}; (2) F={BC->AD,D->E, A->DE, A->BC, AC->BD) Given a relational schema R(A,B,C,D,E,G,H,I), and a set of functional dependencies F={B->CDEGI, AB->H} (3) List the candidate keys for R; Is R in in 3NF? Give your reasons