Problem 6 Consider the schema R- (A, B, C, D, E) together with the functional dependencies: AB C CD A CE What are the key(s) of R? Show your work to prove why each candidate key is a key. a) b) Is R (A, B, C, D, E) in BCNF? Why or why not? If not, decompose this relation c) Is R (A, B, C, D, E) in 3NF? Why or why not? (3 points) into BCNF using the algorithm we covered in class and in the book; circle all answers in your final decomposition. (5 points) (3 points)