2. Consider that we can define the reverse of a string s recursively as: reverse (s) = s if s.equals("") (an empty string is its own reverse) reverse (s) = s.charAt(s.length() - 1) + reverse(s.substring(0, s.length() - 1)) a) Create an application that prompts the user for a string, then outputs the string in reverse. For example, if the user inputs "abcd efg," then your application should output "gfe dcba." Within your application include a static recursive method reverse based on the above definition, that takes a String argument and returns a String that is the reverse of the argument. b) Show the sequence of method calls to reverse that your application makes if the user inputs "RECURSE."