a) Consider a relation R=(A,B,C,D) with the following instance: A B C D 1 1 2 3 1 2 2 3 1 3 2 3 2 4 5 6 3 6 7 8 Which of the following function dependencies are satisfied? Why or How? 1. A ---> B 2. A ---> CD 3. C --> D b) The SQL like operator is case sensitive, but the lower () function on strings can be used to perform case insensitive matching. To show how, write a query that finds departments whose names contain the string sci as a substring, regardless of the case. NOTE: PLEASE Writing is not recommended by hand