Given relation R with attributes (A,B,C,D,E,F),

i. give all the keys of R and its normal form if the functional dependencies on R are

A) AB C, CD E, E F.

B) A BC, B DE, E F.

C) AB C, A D, B E, D F.

D) AB C, C DE, D A.

ii. For the following decomposition of R, and using the FDs in (i)B, determine whether it has the lossless join property:

R1 = ABCD,

R2 = ABE,

R3 = EF.

iii. Using the FDs in (i)C, decompose R into 3NF relations with lossless join.