Write the implementation of a static method, called evenElements, that takes one input parameter, called inputS, of type IntStackInterface. The method extracts all even numbers from inputS and returns as output an IntArrayStack that includes all the extracted numbers. All other odd or zero elements must remain in inputS unchanged and in the same order.

A class Date has methods intgetMonth() and intgetDay(). Write a method public boolean has3OnSameDay(Date[] birthdays) that returns true if at least three birthdays in the array fall on the same date. Your method should work in O(n) time, where n = birthdays.length.

The programming language used is Java

Write a static method named joiner that accepts two arrays of strings al and a2 as parameters and returns a new array a3 such that each element of a3 at each index i stores a new string composed of the words stored at al[i] and a2[i] joined together with the word with the work having greater length (more characters) at the front of the concatenated string. If there is a tie, take the element from al. For example, if al and a2 store the following elements: String [] al String [] a2 {"star", "pie", "jelly bean", "car"}; {"cookie", "fig", "banana", "soda"}; Then your method should return the new array: {"cookiestar", "piefig", "jelly beanbanana", "sodacar"}. If the arrays al and a2 are not the same length, the result returned by your method should have as many elements as the shorter of the two arrays. For example, if al and a2 store the following elements: String[] al String[] a2 {"Splinter", "Leo", "April", "Don", "Raph"}; {"Krang", "Shredder", "Bebop"}; Then your method should return…

Write a Java program that expands a given binomial (x + y)^n, where integer n is user input. To do the work of the binomial expression, first create a method that accepts n as a parameter and then returns an array holding the coefficients needed for the binomial expansion using the Pascal’s Triangle method. Create a 2nd method which takes the array holding the coefficients as a parameter and prints the appropriate binomial expansion. For example, if n = 5 is entered by the user, the method calculating the coefficients should return {1,5,10,10,5,1} and the method that prints the expansion should print the following: (x + y)^5 = x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5 Your main method should use an appropriate loop for repeated inputs and automatically call the methods to calculate the coefficients and print the binomial expansion. There isn’t a need for a menu although you should ask the user if they want to quit or continue after their binomial expansion is printed each time.…