JAVA In order to compute a power of two, you can take the next-lower power and double it. For example, if you want to compute 2^11 and you know that 2^10=1024, then 2^11=2×1024=2048. Write a recursive method public static int pow2(int n) where n is the exponent, that is based on this observation. If the exponent is negative, return -1. import java.util.Scanner; public class PowerTwo {    public static int pow2(int n)    {       /*  code goes here */    }        public static void main(String[] args)    {       Scanner in = new Scanner(System.in);       while (in.hasNextInt())       {          int exponent = in.nextInt();          System.out.println(pow2(exponent));       }          } }

A palindrome is a string that reads the same forward and backward. For example,“deed” and “level” are palindromes. Write an algorithm in pseudocode that testswhether a string is a palindrome. Implement your algorithm as a static method inJava. The method should call itself recursively and determine if the string is apalindrome.Write a main method that reads a string from the user as input and pass it to thestatic method. You need to validate the string and make sure it contains only letters(no digits or special characters are allowed). The main method should displaywhether the string is a palindrome or not. a)  Read the string from the user and validate it.b)  Create a method that calls itself recursively and returns whether thestring is a palindrome or not.c)  Include a test table with at least the following test cases:1. Invalid input. For example, string contains a number or specialcharacter.2. A valid string that is a palindrome.3. A valid string that is not a palindrome.

I need help creating a code below   -  Write a recursive method called digitCount() that takes a positive integer as a parameter and returns the number of digits in the integer. Hint: The number of digits increases by 1 whenever the input number is divided by 10. Ex: If the input is: 345 the method digitCount() returns and the program outputs: 3

Write a complete java program that will store the weekly sales data for a small shop that sells candles into two dimensional array of type double, the shop has five candle scents as follow: week 1 sales week 2 sales week 3 sales week 4 sales Candle Scent 1 41.41 23.33 4.09 1.20 Candle Scent 2 33.86 22.30 27.85 17.35 Candle Scent 3 8.58 7.97 0.61 28.39 Candle Scent 4 10.23 32.62 22.21 21.91 Candle Scent 5 43.16 12.57 20.33 2.40 Your program should calculate and prints the followings: Total sa for week 1 Total sales for week 2 Total sales for week 3 Total sales for week 4 Maximum sales with the week number and candle scent number was found. Minimum sales with the week number and candle scent number was found. Sample run: Total Sales of Week 1 = 137.25 Total Sales of Week 2 = 98.80 Total Sales of Week 3 = 75.09 Total Sales of Week 4 = 71.26 Maximum Sales = 43.16 found week 1 for candle scent 5 Minimum Sales = 0.61 found in week 3 for candle scent 3