The code on the right came with the program and I am meant to modify it. Python.

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This is my 4th time posting this question and all the other times have been incorrect, please help.

 

The code on the right came with the program and I am meant to modify it.

Python.

Instructions
newton.py
1 # Modify the code below
Restructure Newton's method (Case Study: Approximating
3 Program: newton.py
Square Roots) by decomposing it into three cooperating
4 Author: Ken
functions: newton , limitReached , 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 root
using Newton's method of successive approximations, and
Python's own estimate using math. sqrt.
The newton function can use either the recursive strategy of
Project 2 or the iterative strategy of the Approximating Square
Roots Case Study. The task of testing for the limit is assigned to a
function named limitReached , whereas the task of computing
11
a new approximation is assigned to a function named
12 import math
improveEstimate . Each function expects the relevant
13
14 # Receive the input number from the user
15 x = float(input("Enter a positive number: "))
arguments and returns an appropriate value.
16
An example of the program input and output is shown below:
17 # Initialize the tolerance and estimate
18 tolerance = 0.000001
19 estimate = 1.0
20
Enter a positive number or enter/return to quit: 2
|21 # Perform the successive approximations
The program's estimate is 1.4142135623746899
22 while True:
estimate = (estimate + x / estimate) / 2
difference = abs(x - estimate ** 2)
if difference <= tolerance:
23
Python's estimate is
1.4142135623730951
24
Enter a positive number or enter/return to quit
25
26
break
27
28 # Output the result
29 print("The program's estimate is", estimate)
30 print("Python's estimate is
math.sqrt(x))
Transcribed Image Text:Instructions newton.py 1 # Modify the code below Restructure Newton's method (Case Study: Approximating 3 Program: newton.py Square Roots) by decomposing it into three cooperating 4 Author: Ken functions: newton , limitReached , 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 root using Newton's method of successive approximations, and Python's own estimate using math. sqrt. The newton function can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Roots Case Study. The task of testing for the limit is assigned to a function named limitReached , whereas the task of computing 11 a new approximation is assigned to a function named 12 import math improveEstimate . Each function expects the relevant 13 14 # Receive the input number from the user 15 x = float(input("Enter a positive number: ")) arguments and returns an appropriate value. 16 An example of the program input and output is shown below: 17 # Initialize the tolerance and estimate 18 tolerance = 0.000001 19 estimate = 1.0 20 Enter a positive number or enter/return to quit: 2 |21 # Perform the successive approximations The program's estimate is 1.4142135623746899 22 while True: estimate = (estimate + x / estimate) / 2 difference = abs(x - estimate ** 2) if difference <= tolerance: 23 Python's estimate is 1.4142135623730951 24 Enter a positive number or enter/return to quit 25 26 break 27 28 # Output the result 29 print("The program's estimate is", estimate) 30 print("Python's estimate is math.sqrt(x))
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