Consider the LIBRARY relational database schema shown in Figure $8\mathrm{.}14,$ which is used to keep track of books, borrowers, and book loans. Referential integrity constraints are shown as directed arcs in Figure $8\mathrm{.}14,$ as in the notation of Figure $5\mathrm{.}7.$ Write down relational expressions for the following queries:

How many copies of the book titled The Lost Tribe are owned by the library branch whose name is 'Sharpstown'?

How many copies of the book titled The Lost Tribe are owned by each library branch?

Retrieve the names of all borrowers who do not have any books checked out.

For each book that is loaned out from the Sharpstown branch and who's Due$\_$date is today, retrieve the book title, the borrower's name, and the borrower's address.

Retrieve the names, addresses, and number of books checked out for all borrowers who have more than five books checked out.

Note: You can insert artificial data

Note: you should use linear algebra expressions only NO COMPUTERIZED SOL SYNTAX ARE ACCEPTABLE

Good luck! Please use relational Algebra to answer this question not SQL