Answered: import math def func(x): return (x…

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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Question

import math
def func(x):
return (x * x * x + x - 1)
oldEst = 0
tol = 0.00005
error = 1
while error > tol:
newEst = func(oldEst)
print(newEst)
error = abs(newEst - oldEst)
oldEst = newEst

Please edit my python code to where it will display 0.6823 as the output. The code gives very long negative numbers but it is supposed to be Newtons method!

Expert Solution

Step 1: Providing the algorithm

Define the func(x) function that returns the value of x^3 + x - 1.
Define the func_derivative(x) function that returns the value of 3x^2 + 1.
Set the initial guess for the root to 0.
Set the tolerance for convergence to 0.00005.
Set the maximum number of iterations to 1000.
Initialize the error to a value greater than the tolerance.
Initialize the number of iterations to 0.
Start a while loop that runs as long as the error is greater than the tolerance and the number of iterations is less than the maximum number of iterations.
Calculate the new estimate for the root using the old estimate and the Newton-Raphson formula.
Calculate the error between the new estimate and the old estimate.
Update the old estimate with the new estimate.
Increment the number of iterations.
End the while loop.
Print the estimated root rounded to 4 decimal places.

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