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1. In this problem consider the bisection method. (a) Write a PYTHON function computing an approximation of the root x* of the equation f(x) = 0 in the interval [a, b] using the Bisection method. For stopping criterion use the following: If n+1 n ≤ TOL for the first time, then return xn+1 as approximation of the root x*. Allow the code to do only NMAX iterations. - (b) Test your code by finding an approximate solution to the equation log(x) + x = 0 in the interval [0.1, 1].

1. In this problem consider the bisection method. (a) Write a PYTHON function computing an approximation of the root x* of the equation f(x) = 0 in the interval [a, b] using the Bisection method. For stopping criterion use the following: If n+1 n ≤ TOL for the first time, then return xn+1 as approximation of the root x*. Allow the code to do only NMAX iterations. - (b) Test your code by finding an approximate solution to the equation log(x) + x = 0 in the interval [0.1, 1].

Database System Concepts
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
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1. In this problem consider the bisection method. (a) Write a PYTHON function computing an approximation of the root x* of the equation f(x) 0 in the interval [a, b] using the Bisection method. For stopping criterion use the following: If n+1 − xn| ≤ TOL for the first time, then return än+1 as approximation of the root x*. Allow the code to do only NMAX iterations. (b) Test your code by finding an approximate solution to the equation log(x) + x = 0 in the interval [0.1, 1].
Transcribed Image Text:1. In this problem consider the bisection method. (a) Write a PYTHON function computing an approximation of the root x* of the equation f(x) 0 in the interval [a, b] using the Bisection method. For stopping criterion use the following: If n+1 − xn| ≤ TOL for the first time, then return än+1 as approximation of the root x*. Allow the code to do only NMAX iterations. (b) Test your code by finding an approximate solution to the equation log(x) + x = 0 in the interval [0.1, 1].
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