Consider a relation R with ve attributes A, B, C, D, and E. You are given the following functional dependencies: A B, BCE, and EDA. (a) Is R in BCNF? If it is not, decompose it into a collection of BCNF relations. 2: BCNF and 3NF (3 points) Consider the relation schema R with attributes A, B, C, and D and the following functional dependencies: ABC, ACB, BD, BCA. (a) Is R in BCNF? If it is not, decompose it into a collection of BCNF relations. (b) Is R in 3NF? If it is not, convert it into a collection of 3NF relations.