library database with the following schema

primary keys are Bolded

Book(bookID, ISBN, title, author, publish-year, category)

Member(memberID, lastname, firstname, address, phone-number, limit)

CurrentLoan(memberID, bookID, loan-date, due-date)

History(memberID, bookID, loan-date, return-date)

Members can borrow books from the library. The number of books they can borrow is limited

by the limit field of the Member relation. The category of a book includes fiction, non-fiction,

childrens and reference. The CurrentLoan table represents the information about books that

are currently checked out. When the book is returned to the library, the record will be removed

from CurrentLoad relation, and will be inserted into History relation with the return-date. A

library may have more than one copy of the same book, in which case each copy has its own

bookID, but all copies share the same ISBN.

Express each of the following tasks in relational algebra.

1. Find the memberID, address, and phone-number of John Smith.

2. List the bookID and title of all the books that are currently checked out by John

Smith. Do not use any natural join in this query.

3. List the bookID and title of all the books that are either currently checked out or

borrowed in the past by John Smith.

(4). Find the bookID and title of all the books that are not currently checked out.

5. List the first and last names of members who have borrowed (either currently or in

the past) all the books in the library that are authored by Arthur Miller. If some books

authored by Arthur Miller have multiple copies, he or she must have borrowed at least one

copy of each of Arthur Millers books.

6. For each member, find the total number of books currently being checked out (write

a single query for this question).