Basic level java language

Recursive programming. Note: you must solve these problems recursively. 1. Write a recursive method that gets a string and a character as its parameter and returns the number of the times the character appears in the string. public static int count (String s, char Write a recursive method that calculates the sum of the digits in a given integer. This method accepts an integer as its parameter and returns the sum of the digits in the integer. public static int sum(int num) a) 2. 3. Write a recursive method that accepts an array of integer, an int index and an int called max, returns the max value in the array public static int maxValue (int num, int index ,int max )