Convert Newton’s method for approximating square roots in Project 1 to a recursive function named newton. (Hint: The estimate of the square root should be passed as a second argument to the function.) An example of the program input and output is shown below: Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit

Convert Newton’s method for approximating square roots in Project 1 to a recursive function named newton. (Hint: The estimate of the square root should be passed as a second argument to the function.) An example of the program input and output is shown below: Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 1TF

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Convert Newton’s method for approximating square roots in Project 1 to a recursive function named newton. (Hint: The estimate of the square root should be passed as a second argument to the function.) An example of the program input and output is shown below: Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit Given Code: # Modify the code below """ File: newton.py Project 6.1 Compute the square root of a number (uses function with loop). 1. The input is a number, or enter/return to halt the input process. 2. The outputs are the program's estimate of the square root using Newton's method of successive approximations, and Python's own estimate using math.sqrt. """ import math # Initialize the tolerance TOLERANCE = 0.000001 def newton(x): """Returns the square root of x.""" # Perform the successive approximations estimate = 1.0…
please code in python Here is another recursion example, but with less guidance. Write a function log2(x), which gives an integer approximation of the log base 2 of a positive number x, but it does so using recursion. Use a base case where you return 0 if x is 1 or less. In the general case, add 1 to the answer and divide x by 2. (This is purposely vague so you can figure it out yourself.)
Consider a network of streets laid out in a rectangular grid, In a northeast path from one point in the grid to another, one may walk only to the north (up) and to the east (right). Write a program that must use a recursive function to count the number of northeast paths from one point to another in a rectangular grid. Your program should prompt the user to input the numbers of points to the north and to east respectively, and then output the total number of paths. Notes: 1. Here is a file (timer.h download and timer.cpp download) which should be included in your program to measure time in Window or Unix (includes Mac OS and Linux) systems (use start() for the beginning of the algorithm, stop() for the ending, and show() for printing). 2. The computing times of this algorithm is very high, and the number of paths may be overflow, don't try input numbers even over 16. 3. Name your recursive function prototype as calcPath(int north, int east) to ease grading. 4. Paste your output
A recursive function is a function defined in terms of itself via self-referential expressions. This means that the function will continue to call itself and repeat its behavior until some condition is met to return a result. Write a complete python program that includes a recursive python method, sumThem which accepts an argument, n, sums all the odd, or all the even, positive integers up to n*3, depending on whether n*3 is odd or even. The number should be entered by the user You should include in your answer a screenshot that shows the program and the output for the value n*3 where n must be equal your last ID digit. For example, if your ID is 201314151617, then 7 will be entered, and the calculations should be applied to 21. Expected Output Sample: Enter the number: 0 The sum of even numbers up to 0 will be: 0
Write a python program with the following functions:1. the function factorial_loop(num) that takes an integer num and returns the value of the factorial of num written as num!, where num! = num * (num-1) * (num-2) * … * 2 * 1. This function must use a loop (iteration) to compute the value of num!.2. the function factorial_recursive(num) that takes an integer num and returns the value of the factorial of num (i.e., num!) as defined above. This function must use a recursive algorithm to compute the value of num!.
This is in Python This has two parts. This is a problem on recursion. Part a: Write a recursive function that accepts an integer argument, n. The user needs to be asked for the number n. The function should display n lines of asterisks on the screen, with the first (the top) showing 1 asterisk, the second from the top showing two asterisks, up to the nth line which shows n asterisks. Part b. Write a recursive function that accepts an integer argument, n. The user needs to be asked for the number n. The function should display n lines of asterisks on the screen, with the first (the top) showing n asterisks, the second from the top showing n-1 asterisks, up to the nth line which shows 1 asterisk. Submit the two files and two sample outputs for each of the parts.
A recursive function is a function defined in terms of itself via self-referential expressions. This means that the function will continue to call itself and repeat its behavior until some condition is met to return a result. a- Write a python recursive function prod that takes x as an argument, and returns the result where, result=1*1/2*1/3*….*1/n b- Include a screenshot that shows a python program that uses the above function and prints the rounded result to three decimal places after prompting the user to enter a number, x. Use x=3. N.B: The code should be included in your answer.
How to apply this python code in the problem? What are the base cases and recursive cases that should be used? def createList(n): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return [] def removeMultiples(x, arr): #Base Case/s #TODO: Add conditions here for your base case/s #if <condition> : #return <value> #Recursive Case/s #TODO: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once you've completed all the TODO for this function return [] def Sieve_of_Eratosthenes(list): #Base Case/s if len(list) < 1 : return list #Recursive Case/s else:…
please code in python Write a recursive function to add a positive integer b to another number a, add(a, b), where only the unit 1 can be added, For example add(5, 9) will return 14. The pseudocode is: # Base case: if b is 1, you can just return a + 1 # General case: otherwise, return the sum of 1 and what is returned by adding a and b - 1.
Consider the recursive procedure which computes the nth Fibonacci number is the one below. procedure Fl (n) //a function which returns the nth Fibonacci number.// if n < 2 then return(n) else return (F2(2,n,1,1)) endif end Fl procedure F2(i,n,x,y) if i
Write a recursive function called print_num_pattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For coding simplicity, output a space after every integer, including the last. Do not end output with a newline. Ex. If the input is: 12 3 the output is: 12 9 6 3 0 3 6 9 12 # TODO: Write recursive print_num_pattern() function if __name__ == "__main__": num1 = int(input()) num2 = int(input()) print_num_pattern(num1, num2)if (num1<=0): print(num1,end= '')
Write a program that allows a user to enter non-negative int number. The recursive function is to be named sumSquares that returns the sum of the squares of the numbers from 0 to number.Do not use any global variables.