Part 2 Database Design 1. (5 points) Functional Dependencies Prove or disprove that if A B then B C. Explain your answer. 2. (10 points) Functional Dependencies Consider the following sets of functional dependencies F1 = {AC B, A C, D A} and F2 = {A B, A C, D A, D A}. Are they equivalent? Explain your answer. 3. (15 points) Find a minimal basis (aka minimal cover) for a set of functional dependencies. Find the minimal cover of the set F= {A C, AB C, C DI, CD I, EC AB, EI C}