I need help with the following. Use the schema as reference. So can someone answer this using relational algebra? The image presents a relational database schema for a LIBRARY database, detailing the relationships and attributes of various tables within the system.### Tables and Attributes:1. **BOOK Table:** - **Attributes:** - `Book_id`: Unique identifier for each book. - `Title`: The title of the book. - `Publisher_name`: References the name of the publisher.2. **BOOK_AUTHORS Table:** - **Attributes:** - `Book_id`: References `Book_id` from BOOK. - `Author_name`: Name of the book's author.3. **PUBLISHER Table:** - **Attributes:** - `Name`: Name of the publisher. - `Address`: Address of the publisher. - `Phone`: Contact number of the publisher.4. **BOOK_COPIES Table:** - **Attributes:** - `Book_id`: References `Book_id` from BOOK. - `Branch_id`: References `Branch_id` from LIBRARY_BRANCH. - `No_of_copies`: Number of copies available.5. **BOOK_LOANS Table:** - **Attributes:** - `Book_id`: References `Book_id` from BOOK. - `Branch_id`: References `Branch_id` from LIBRARY_BRANCH. - `Card_no`: References `Card_no` from BORROWER. - `Date_out`: Date when the book was borrowed. - `Due_date`: Date when the book is due for return.6. **LIBRARY_BRANCH Table:** - **Attributes:** - `Branch_id`: Unique identifier for each library branch. - `Branch_name`: Name of the library branch. - `Address`: Address of the library branch.7. **BORROWER Table:** - **Attributes:** - `Card_no`: Unique card number assigned to the borrower. - `Name`: Name of the borrower. - `Address`: Address of the borrower. - `Phone`: Contact number of the borrower.### Diagram Explanation:The schema diagram shows the relationships between tables where arrows indicate reference connections, also known as foreign keys. For example, `Book_id` in BOOK_LOANS references `Book_id` in BOOK, highlighting how loan records relate to book details. This structured layout enables efficient data management and retrieval operations within the library database. 8.18. Consider the LIBRARY relational database schema shown in Figure 8.14, which is used to keep track of books, borrowers, and book loans. Referential integrity constraints are shown as directed arcs in Figure 8.14, as in the notation of Figure 5.7. Write down relational expressions for the following queries:a. How many copies of the book titled *The Lost Tribe* are owned by the library branch whose name is ‘Sharpstown’?b. How many copies of the book titled *The Lost Tribe* are owned by each library branch?c. Retrieve the names of all borrowers who do not have any books checked out.d. For each book that is loaned out from the Sharpstown branch and whose Due_date is today, retrieve the book title, the borrower’s name, and the borrower’s address.e. For each library branch, retrieve the branch name and the total number of books loaned out from that branch.f. Retrieve the names, addresses, and number of books checked out for all borrowers who have more than five books checked out.g. For each book authored (or coauthored) by Stephen King, retrieve the title and the number of copies owned by the library branch whose name is Central.

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Consider the LIBRARY relational database schema shown in Figure 8.14, which is used to keep track of books, borrowers, and book loans. Referential integrity constraints are shown as directed arcs in Figure 8.14, as in the notation of Fig- ure 5.7. Write down relational expressions for the following queries: a. How many copies of the book titled The Lost Tribe are owned by the library branch whose name is 'Sharpstown'? b. How many copies of the book titled The Lost Tribe are owned by each library branch? c. Retrieve the names of all borrowers who do not have any books checked out. d. For each book that is loaned out from the Sharpstown branch and whose Due_date is today, retrieve the book title, the borrower's name, and the borrower's address. e. For each library branch, retrieve the branch name and the total number of books loaned out from that branch. f. Retrieve the names, addresses, and number of books checked out for all borrowers who have more than five books checked out. g. For each book authored (or coauthored) by Stephen King, retrieve the title and the number of copies owned by the library branch whose name is Central.

Consider the LIBRARY relational database schema shown in Figure 8.14, which is used to keep track of books, borrowers, and book loans. Referential integrity constraints are shown as directed arcs in Figure 8.14, as in the notation of Fig- ure 5.7. Write down relational expressions for the following queries: a. How many copies of the book titled The Lost Tribe are owned by the library branch whose name is 'Sharpstown'? b. How many copies of the book titled The Lost Tribe are owned by each library branch? c. Retrieve the names of all borrowers who do not have any books checked out. d. For each book that is loaned out from the Sharpstown branch and whose Due_date is today, retrieve the book title, the borrower's name, and the borrower's address. e. For each library branch, retrieve the branch name and the total number of books loaned out from that branch. f. Retrieve the names, addresses, and number of books checked out for all borrowers who have more than five books checked out. g. For each book authored (or coauthored) by Stephen King, retrieve the title and the number of copies owned by the library branch whose name is Central.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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