1. Given R (A,B,C,D,E,F,G,H), F is the set of dependencies on R such that F = {AB,ABCDE, EFGH, ACDFEG} what is the Canonical cover of F? 2. Given R(A,B,C,D,E,F,G,H,I), F is the set of dependencies on R such that F = F= {CHG,ABC, BCFH,EA, FEG} Find 4 candidate keys for R. 3. Given a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependency set FD = { PQ R, P ST, Q U, U VW, and S XY}, determine whether the given R is in 3NF? If not convert it into 3 NF. 4. Given a relation R ( X, Y, Z) and Functional Dependency set FD = { XY Z and Z Y }, determine whether the given R is in BCNF? If not convert it into BCNF. 5. Given a relational schema R( X, Y, Z ) set of functional dependencies P and Q such that: P = { X Y, Y Z, Z X } and Q = { X YZ, Y X, Z X } using FD sets P and Q which of the following options are correct? And justify your answer. i. P is a subset of Q ii. Q is a subset of P iii. P = Q iv. P