5) Consider a relation schema R(A, B, C, D, E, F, G, H), with functional dependencies {FH HGB, GA CD, C+E, BD, FG D}. a) Find a minimal cover for the FDs. b) Is the dependency FHA GB implied by the FDs? c) Is the decomposition into FHGAB and GABCDE lossless? d) Is the above decomposition dependency preserving? Page 2 of 3 e) Is there a lossless, dependency preserving decomposition of this schema into BCNF? If so, exhibit one. If not, explain. f) Is there a lossless, dependency preserving decomposition of this schema into 3NF? If so, exhibit one. If not, explain