Please do the following questions with the full python coding and explanation below each question typed 2.In this problem consider Newton's method.(a)Write a PYTHON function computing an approximation of the root p of the equationf(x) = 0 using Newton's method. Specifically the code will compute the terms xn of thesequencef(xn)f'(xn)'Xn+1 = Xnn = 0, 1, 2, ...,where xo is a given initial guess (or approximation) of the root p. For stopping criterion usethe following: If |xn+1 − xn| ≤ TOL for the first time, then return xn+1 as approximation ofthe root p. Allow the code to do only NMAX iterations.At every step n, the code should print the values n, xn, f(xn) and n+1-n. In case wherethe number of iterations reaches the maximum allowed number of iterations without satisfyingthe stopping criterion, then the code should print an error message, for example: "Failure:Algorithm fail to converge using only NMAX iterations".(b)Test your code by finding an approximate solution to the equation log(x) + x = 0with an initial guess of your choice.

2. In this problem consider Newton's method. (a) Write a PYTHON function computing an approximation of the root p of the equation f(x) = 0 using Newton's method. Specifically the code will compute the terms xn of the sequence f(xn) f'(xn)' Xn+1 = Xn- n = 0, 1, 2, ..., where to is a given initial guess (or approximation) of the root p. For stopping criterion use the following: If xn+1 n ≤ TOL for the first time, then return an+1 as approximation of the root p. Allow the code to do only NMAX iterations. At every step n, the code should print the values n, xn, f(n) and n+1-n. In case where the number of iterations reaches the maximum allowed number of iterations without satisfying the stopping criterion, then the code should print an error message, for example: "Failure: Algorithm fail to converge using only NMAX iterations". (b) Test your code by finding an approximate solution to the equation log(x) + x = 0 with an initial guess of your choice.

2. In this problem consider Newton's method. (a) Write a PYTHON function computing an approximation of the root p of the equation f(x) = 0 using Newton's method. Specifically the code will compute the terms xn of the sequence f(xn) f'(xn)' Xn+1 = Xn- n = 0, 1, 2, ..., where to is a given initial guess (or approximation) of the root p. For stopping criterion use the following: If xn+1 n ≤ TOL for the first time, then return an+1 as approximation of the root p. Allow the code to do only NMAX iterations. At every step n, the code should print the values n, xn, f(n) and n+1-n. In case where the number of iterations reaches the maximum allowed number of iterations without satisfying the stopping criterion, then the code should print an error message, for example: "Failure: Algorithm fail to converge using only NMAX iterations". (b) Test your code by finding an approximate solution to the equation log(x) + x = 0 with an initial guess of your choice.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Please do the following questions with the full python coding and explanation below each question typed

2.
In this problem consider Newton's method.
(a)
Write a PYTHON function computing an approximation of the root p of the equation
f(x) = 0 using Newton's method. Specifically the code will compute the terms xn of the
sequence
f(xn)
f'(xn)'
Xn+1 = Xn
n = 0, 1, 2, ...,
where xo is a given initial guess (or approximation) of the root p. For stopping criterion use
the following: If |xn+1 − xn| ≤ TOL for the first time, then return xn+1 as approximation of
the root p. Allow the code to do only NMAX iterations.
At every step n, the code should print the values n, xn, f(xn) and n+1-n. In case where
the number of iterations reaches the maximum allowed number of iterations without satisfying
the stopping criterion, then the code should print an error message, for example: "Failure:
Algorithm fail to converge using only NMAX iterations".
(b)
Test your code by finding an approximate solution to the equation log(x) + x = 0
with an initial guess of your choice.

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