For each relational schema below and its corresponding functional dependencies (FDs): o R(A, B, C, D): BC D, D A and A- B o R(A, B, C, D): BC D, CD A and ADB and AB-C o R(A, B, C, D, E): BC-- D, D--E,E--C and E A Answer the following questions (for each of the above three cases separately): 1(10 Points) find all candidate keys of the relation 2 (10 Points) Given the keys you defined in the previous step, find the functional dependencies (only from the ones listed above) that violate BCNF 3 (10 Points) Decompose the relations to satisfy BCNF. Specify which FD is used to make the decomposition. If there is multi-step decomposition, then indicate each step along with which FD used for the decomposition