1. Consider the following relations R1, R2, R3. What are the normal forms (BCNF,3NF) that each of the relations is in? Explain why or why not the relation is in each of these normal forms.

(i) R1 = (A,B,C,D,E,F) with a set of functional dependencies FD = {A->B, DE->F,B->C};

(ii) R2 = (A,B,C,D,E,F) with a set of functional dependencies FD = {AE->D, B->A, AD->BC,F->A};

(iii) R3 = (A,B,C,D,E,F) with a set of functional dependencies FD = {ABC->DF, ACD->BF, A->E, AE->CD}