For this homework assignment, consider the schema R=(A,B,C,D,E) and the following set F of functional dependencies holds on R: A BC CD E BD EA Problem 4. Compute the canonical cover Fe. Problem 5. Show that the decomposition of R into R. =(A,B,C) and R =(A,D,E) is not a dependency-preserving decomposition. Problem 6. Give a lossless-join decomposition into BCNF of R. Problem 7. Give a lossless-join, dependency preserving decomposition into 3NF of R