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Implement the following functions without using the <math.h> library:
a. int power (int n, int m) [Returns: n^m]
b. float squareRoot (int n) [Returns: √? ]
using c language
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- please code in python Write a recursive function power(x, n), where n is 0 or a postive integer. For example, power(2, 10) will return 1024. Write a suitable base case, and for the general case use the idea that x**n = x * (x**n-1).Please provide me with a function IN C LANGUAGE that reads words with a specific word length from a file for a hangman game and puts it in a dynamically allocated array and returns that string ( please try to make the function advanced and uses recursions if possible )please code in python Write a recursive function reverse(sentence) for reversing a sentence. For example, reverse('Who let the dogs out?') will return '?tuo sgod eht tel ohW'. The idea is to remove the first or last letter, reverse the shortened sentence, and then combine the two parts.
- def fun(nums: List[int], key): count = 0 for v in nums: if v == key count = count + 1 return count a. What does this function do? b. Write an equivalent function using recursion. c. What's advantages and disadvantages of both implementations in terms of time and space complexity.def find_root4(x, epsilon): ''' IN PYTHON Assume: x, epsilon are floating point numbers and epsilon > 0 Use bisection search to find the following root of x such that If x >=0, return y such that x - epsilon <= y ** 2 <= x + epsilon Else, return y such that x - epsilon <= y ** 7 <= x + epsilon Note: You must use bisection search to implement the function. ''' passWrite a function in c that reads real (fractional) numbers, ?1, ?2, … , ?? from the keyboard into an array of N, starting from index 0. The numbers are read after a prompt.
- Below,enter code to complete implementation of a recursive function sum_all_integers(), which takes an input n and adds all intergers preceding it, up to n: add_all_integers(n):Consider the following recursive function: def rec1(aList,first,last): if first==last: return aList[first] else: return aList[last]*rec1(aList,first,last-1) Show the output of the following call (show your work and all recursive calls): print(rec1([1,2,3,4,5,6,7],3,5))? describe the task of the rec1 function.c++ Implement a function that recursively calculates the nth number in the Fibonacci sequence of numbers. The Fibonacci sequence starts at 0 and 1. Each number thereafter is the sum of the two preceding numbers. This gives us the following first ten numbers: 0,1,1,3,5,8,13,21,34, .... Input Expected output0 01 17 139 34
- Write a recursive function int fib (int n) to compute the Fibonacci numbers where n is a positive integer.Write an application (main() function) using command line parameters that calls fib(n) and outputs n,fin(n), fib(n)*1.0/fib(n-1) for n = 3,4,5,6,7,8,9,10,11,12,13,14,15In a format fprintf (stdout,“n = %d\tfib(n) = %d\tfib(n)/fib(n-1) = %.4f\n”, n, fib(n), fib(n)*1.0/fib(n-1))The ratio of fib(n) to fib(n-1) for large values of n (larger than say 10) is called the golden ratio.Plot a curve between n and golden ratio.Submit the assignment by dropping the MS word file containing the program code, results (take a screenshot of the Cygwin/ubantu) and paste to the word file in CImplement a recursive C++ function which takes a character (ch) and a positive integer (n) and prints thecharacter ch, n times on the screen. The prototype of your function should be:void printChar (char ch, int n)For example, calling printChar('*',5) should display ***** on screen.Note: There should NOT be any loop in your function.Write a recursive function, vowels, that returns the number of vowels in a string. Also, write a program to test your function.