Question: Consider the relation scheme R- A, B, C, D, E, F with the following set of functional dependencies: a. Is the decomposition of R into

Consider the relation scheme R- A, B, C, D, E, F

Consider the relation scheme R- A, B, C, D, E, F with the following set of functional dependencies: a. Is the decomposition of R into RI B, C, D, E and R2 (A, B, C, F a lossless decomposition? (explain) (7 points) b. Are Ri and Rz in BCNF? Give a separate answer for each of the two relations. For each relation that is not in BCNF, perform a lossless decomposition of that relation untl it is in BCNF. If you decompose a non-BCNF relation, you must show a decomposition tree, and your tree must identify the functional dependency on which each decomposition step is based. (13 points) c. Is the relation R3 - C, E, F in BCNF, in 3NF, in both, or in neither? (explain) (7 points)

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