(a) Consider the universal relation R = {A, B, C, D, E, F, G, H, I, J and the set of functional dependencies F = { {A, B} {C}, {A} {D,E}, {B}{F}, {F}{G,H}, {D} -> {I, J}}. 1. Derive the key for R. 2. Decompose R into 2NF, then 3NF relations. (b) Consider the universal relation R(A, B, C, D, E, F, G) and the set of functional dependencies A --> B, B --> {A, C, E, C --> {B, F, D}, F --> {D, G} Derive the key for R (c) Consider the relation R = {A, B, C, D, E, F, G, H, I, J} and the set of functional dependencies F as follows; F = { AB C, BD EF, AD GH, A I, HJ}. Find the key of relation R.