Write the Java programs (not pseudo codes or algorithms) for the following problems: 1. Write a value-returning method, is Vowel() that returns the value true if a given character is a vowel, and otherwise returns false. In main() method accept a string from user and count number of vowels in that string using is Vowel() method. 2. Write a value returning method factorial() that calculates and returns the factorial of a given number. In main() method, accept a number from the user and validate it. The number is valid if it is non- negative and less than or equal to 10. If the number is valid, call the factorial() method otherwise ask the user to input another number. 3. Write a Java program to find the largest and smallest element of an array. 4. Write a Java program to reverse the elements of an integer 1-D array with and without using a temporary array. [write two methods reversel() and reverse20): reversel() uses another temporary array while reverse2 does not use another array] 5. Write a user defined method named upperHalf() which takes a two-dimensional array A, with size N rows and N columns as argument and prints the upper half of the array. e.g., 23150 71531 25781 0 150 1 34915 23150 1531 The output will be 178 01 5 6. Next, define another method upperHalfSum() which find the sum of the upper half of the array. 7. Write a user-defined method sumArrays() that takes 2 two-dimensional arrays of same sizes. The method returns another array that contains the sum of the corresponding elements of these two arrays.