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Consider the relational schema R(ABCDEG) with the set of functional dependencies F = {D?C, A?BE, BC?D, E?C, AC?B, AB?C}. a) Find all the candidate keys

Consider the relational schema R(ABCDEG) with the set of functional dependencies F = {D?C, A?BE, BC?D, E?C, AC?B, AB?C}.

a) Find all the candidate keys for R.

b) Determine what normal form this relation is in.

c) Find a minimal cover for F. You must show your work.

d) Using 3NF synthesis, find a decomposition of R that is at least in 3NF and is both lossless and dependency-preserving. You must show the projections of functional dependencies on the resulting relations.

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