CS 101 : Lab #11 Writing Classes (Methods) IT Each of the following methods should be static and defined in a class called Utilities. Implement a second class called Tester that calls each of these methods. 1. Write a method that returns the absolute value of a given integer; your implementation may not use Math.abs. 2. Write a method that returns the ceiling of an input double. Note, this function always returns the next larger integer (even for negative numbers) except when an integer value is given. For example ceiling(-1.2)--I ceiling(3)-3 ceiling( 1.2) = 2 3. Write a method that returns n! given an integer n. Your method must use and return a BigInteger object. Note, you may need code like fact = fact.multiply(BigIntegervalueOf)); where i is an integer. Aesa sringcsisent vih the progression: The method input should dictate the length of the pattern. For simplicity, interpret a negative value positively; that is, use absolute value (your absolute value method, not Math.abs)