Database: BCNF and 3NF functionalities. Please explain the answer and I will give good ratings.

Consider the relation R(A, B, C, D, E, F, G, H, I) and the set of functional dependencies below. F = {{A, B} rightarrow {C}, {A} rightarrow {D, E}, {B} rightarrow {F}; {F} rightarrow {G, H}, {D} rightarrow {I, J}}. What is the key for R? Decompose R into BCNF, then 3NF relations. Consider the relation R(A, B, C, D, E, F, G, H, I) and the set of functional dependencies below. F = {{A, B} rightarrow {C}, {B, D} rightarrow {E, F}, {A, D} rightarrow {G, H}, {A} rightarrow {I}, {H} rightarrow {J}}. What is the key for R? Decompose R into BCNF, then 3NF relations. Consider a relation R(A, B, C, D, E) with the following dependencies: F = {{A, B} rightarrow {C}, {C, D} rightarrow {E}, {D, E} rightarrow {B}} Is {A, B} a candidate key of this relation? If not, is {A, B, D}? Explain your answer. Consider the relation R(A, B, C, D, E, F, G, H, I) and the set of functional dependencies below. F = {{A, B} rightarrow {C}, {A} rightarrow {D, E}, {B} rightarrow {F}; {F} rightarrow {G, H}, {D} rightarrow {I, J}}. What is the key for R? Decompose R into BCNF, then 3NF relations. Consider the relation R(A, B, C, D, E, F, G, H, I) and the set of functional dependencies below. F = {{A, B} rightarrow {C}, {B, D} rightarrow {E, F}, {A, D} rightarrow {G, H}, {A} rightarrow {I}, {H} rightarrow {J}}. What is the key for R? Decompose R into BCNF, then 3NF relations. Consider a relation R(A, B, C, D, E) with the following dependencies: F = {{A, B} rightarrow {C}, {C, D} rightarrow {E}, {D, E} rightarrow {B}} Is {A, B} a candidate key of this relation? If not, is {A, B, D}? Explain your