Part 1: Static Methods

Write a class called StringUtils with static methods that manipulate strings. Here are the definitions of the static methods:

/**
 * @param s the String to reverse
 * @return the string backwards; e.g., string --> gnirts
 */
public static String reverseString(String string)

/**
 * Tests if a string is a palindrome.  A palindrome is a word
 * that is the same fowards and backwards.
 * Some palindromes: 
 * "kayak"
 * "A man A plan A canal Panama"
 *
 * You should consider upper and lower case letters as the same.

 * However, you don't need to consider punctuation as special cases,
 * i.e., "A man. A plan. A canal. Panama." will return false.
 *
 * @param s the String to test if it's a palindrome
 * @return true iff the String is a palindrome
 * @see http://www.palindromelist.com
 */
public static boolean isPalindrome(String string)

In a comment, answer Why is it appropriate for these methods to be static?

Use methods from the String or StringBuilder classes to help you write the methods.

Your main method should test these methods. As usual, save the output from several runs into palindromes.out.