The instructions are on the left, the code is on the right Python only! Instructionsnewton.py1 # Modify the code below2 II I| ||Restructure Newton's method (Case Study: Approximating Square Roots)3 Program: newton.pyby decomposing it into three cooperating functions: newton ,4 Author: KenlimitReached , and improveEstimate.5 Compute the square root of a number.6 1. The input is a number.7 2. The outputs are the program's estimate of the square rootusing Newton's method of successive approximations, andPython's own estimate using math.sqrt.The newton function can use either the recursive strategy of Project 2 or8.the iterative strategy of the Approximating Square Roots Case Study. Thetask of testing for the limit is assigned to a function namedlimitReached , whereas the task of computing a new approximation is11assigned to a function named improveEstimate . Each function expects12 import maththe relevant arguments and returns an appropriate value.1314 # Receive the input number from the user15 x = float(input("Enter a positive number: "))An example of the program input and output is shown below:1617 # Initialize the tolerance and estimate18 tolerance = 0.000001Enter a positive number or enter/return to quit: 219 estimate = 1.020The program's estimate is 1.414213562374689921 # Perform the successive approximationsPython's estimate is1.414213562373095122 while True:Enter a positive number or enter/return to quit23estimate = (estimate + x / estimate) / 224abs(xestimate ** 2)differenceif difference <= tolerance:%3D2526breakGrading2728 # Output the result29 print ("The program's estimate is", estimate)30 print("Python's estimate is', math.sqrt(x))

Program Code: import mathdef limitReached(val,last): return abs(val-last) < 1e-2def…

Answered: Restructure Newton's method (Case…

Restructure Newton's method (Case Study: Approximating Square Roots) by decomposing it into three cooperating functions: newton, limitReached, and improveEstimate.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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