Write a recursive function to implement the recursive algorithm (multiplying two positive integers using repeated addition). Also, write a program to test your function.

Write a recursive program that takes a positive integer as an input and returns the sum of the digits of the integer. (Example: If the input is 45678, then output will be 30.)

Write a recursive function called Rev takes a string argument (str) and and integerargument(i – the initial string position). Rev prints the str in reverse. You may not useany built-in reverse function or method. You may use string’s length method.

The 4th problem mimics the situation where eagles flying in the sky can be spotted and counted.FindEagles: a recursive function that examines and counts the number of objects (eagles) in aphotograph. The data is in a two-dimensional grid of cells, each of which may be empty (value 0) orfilled (value 1 to 9). Maximum grid size is 50 x 50. The filled cells that are connected form an object(eagle). Two cells are connected if they are vertically, horizontally, or diagonally adjacent. Thefollowing figure shows 3 x 4 grids with 3 eagles. 0 0 1 21 0 0 01 0 3 1 FindEagle function takes as parameters the 2-D array and the x-y coordinates of a cell that is a part ofan eagle (non-zero value) and erases (change to 0) the image of an eagle. The function FindEagleshould return an integer value that counts how many cells has been counted as part of an eagle and havebeen erased. The following sample data has two pictures, the first one is 3 x 4, and the second one is 5 x 5 grids. Notethat your program…

The Fibonacci algorithm is a famous mathematical function that allows us to create a sequence of numbers by adding together the two previous values. For example, we have the sequence:1, 1, 2, 3, 5, 8, 13, 21…Write your own recursive code to calculate the nth term in the sequence. You should accept a positive integer as an input, and output the nth term of the sequence.Once you have created your code, add comments describing how the code works, and the complexity of any code you have created.

Need some help with this c++ recursive function: Write the function int countEights(int n). Inside the function, compute recursively (no loops) the count of the occurrences of 8 as a digit inside the parameter n. Except that an 8 with another 8 immediately to its left counts double, so 8818 yields 4. Note that mod (%) by 10 yields the rightmost digit (126 % 10 is 6), while divide (/) by 10 removes the rightmost digit (126 / 10 is 12). Here are some examples: countEights(8) returns 1 countEights(818 returns 2 countEights(8818) returns 4

Recursion is a technique that calls the function by itself. Demonstrate and write a program to find the GCD of two numbers using recursion and mention the advantages of recursion.

in kotlin Write two versions of a recursive palindrome check function.  One version should have a block body, and the other should have an expression body.  Review the lecture slide about the substring function first.  Use this algorithm: if the length of the string is less than 2, return true else if the first and last characters are not equal (!=) return false else return the result of a recursive call with the substring from the second character (the one at index 1) to the second to last character. Use a main that uses a loop to test the palindrome function using this list of strings:     val ss = listOf("", "A", "AA", "AB", "AAA", "ABA", "ABB", "AAAA", "AABA", "ABBA", "ABCBA", "ABCAB")

Use python

Write a recursive function to sort an array of integers into ascending order using the following idea: the function must place the smallest element in the first position, then sort the rest of the array by a recursive call. This is a recursive version of the selection sort. (Note: You will probably want to call an auxiliary function that finds the index of the smallest item in the array. Make sure that the sorting function itself is recursive. Any auxiliary function that you use may be either recursive or iterative.) Embed your sort function in a driver program to test it. Turn in the entire program and the output.