1) Design a class named MyInteger. The class contains: - An int data field named value that stores the int value represented by this object. - A constructor that creates a MyInteger object for the specified int value. - A get method that returns the int value. - Methods isEven(), isOdd(), and isPrime() that return true if the value is even, odd, or prime, respectively. - Static methods isEven(int), isOdd(int), and isPrime(int) that return true if the specified value is even, odd, or prime, respectively. - Static methods isEven(MyInteger), isOdd(MyInteger), and isPrime(MyInteger) that return true if the specified value is even, odd, or prime, respectively. - Methods equals(int) and equals(MyInteger) that return true if the value in the object is equal to the specified value. - A static method parseInt(char[]) that converts an array of numeric characters to an int value. - A static method parseInt(String) that converts a string into an int value. Draw the UML diagram for the class. Implement the class. Write a client program that tests all methods in the class.

2) Write a program that displays all the prime numbers less than 120 in decreasing order.

3) The class Ticket has been coded as follows: public class Ticket { private double price; private char service; public Ticket( double newPrice, char newService ) { setPrice( newPrice ); setService( newService ); } }

a) Write the mutators (setPrice and setService methods) for the Ticket class; the price must be greater than or equal to 0; the service must be either A or B, the default service is B.

b) Write the accessor (getPrice and getService methods) for the Ticket class.

c) Code a method that switches the value of service: if it is A, it changes to B; if it is B, it changes to A.

d) Code the toString method: it returns the service and price separated by a : (colon) as in the following examples: Example 1: B:34.99 Example 2: A:94.99 Example 3: B:44.99

e) What is the data type of the parameter and the return type of the tax method? public double tax( float rate )

f) In a client class and inside the main method, myTicket is an object reference of type Ticket; call the method tax with myTicket, assuming a tax rate of 0.06, and assign the resulting tax value to a variable named myTax. float taxRate = 0.06f;

g) Consider the following constant of class Ticket public static char DEFAULT_SERVICE = B;

h) In a client class and inside main, write a statement to output the value of the above constant.