Consider the LIBRARY relational database schema description provided below which is used to keep track of books, borrowers, and book loans. The relations are: • BOOK (BookID, Title, PublisherName) • BOOK_AUTHORS (BookID, AuthorName) • PUBLISHER (Name, Address, Phone) • BOOK_COPIES (BookID, BranchID, NumberOfCopies) • BOOK_LOANS (BookID, BranchID, CardNumber, DateOut, DueDate) • LIBRARY_BRANCH (BranchID, BranchName, Address) • BORROWER (CardNumber, Name, Address, Phone) 1. Consider the schema given above: (a) (5 points) Give a primary key for each relation. Are there any relations for which there is an alternate candidate key that you have not chosen as the primary key? If yes, mention the relations, candidate keys and the reason (if any) for your choice of the primary key. (b) (10 points) State all referential integrity constraints that should hold on these relations.

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."