1. Write a Java application that uses a frame window and solves the following problem. Write a java application program which will compute the average of five test scores , compute the average, assign a letter grade based on the following: 90-100 A, 80-89.99 B, 70-79.99 C, 60-69.99 D below 60 F. Display The student's name, test scores, average, letter grade for each student. There are students in the database. 2. Write a program which will open an input file and write to an output file. Use exception handling (try & Catch to display appropriate error handling). 3. Write a java program to demonstrate linked lists and its implementations a. Draw the structure b. Create a LinkedListNode class c. Write a method to display information from a linked list with four nodes d. Write a method to delete or insert an item from the list 4. Write a program to find the largest Element in an Array using recursion. The list should contain six elements 5. What is a stack? What are the basic operations on a stack? What is a queue? What are the basic operations on a queue? Use methods to demonstrate your points 6. Write a sequential search method to find an item in a list 7. Write a method for a binary search. 8. Discuss the various sort algorithms and write a method using either array based lists or linked lists. 9. What is a binary tree? Explain the operations that can be performed on a binary tree. 10. Write a Java program that will incorporate either a sequential search method or a sort method