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Tollowing f(x)=2x³-11.1x² -26.75x+70.6 1. a) Rearrange the original function [with f(x)=0] to find three iterative functions for: Call them gi(x), g2(x), and g(x). Use successive substitution (also known as fixed-point iteration) to solve for the roots in Excel: b) Use initial guesses of x= 1 for each of the iterative functions. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found?

Tollowing f(x)=2x³-11.1x² -26.75x+70.6 1. a) Rearrange the original function [with f(x)=0] to find three iterative functions for: Call them gi(x), g2(x), and g(x). Use successive substitution (also known as fixed-point iteration) to solve for the roots in Excel: b) Use initial guesses of x= 1 for each of the iterative functions. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found?

Computer Networking: A Top-Down Approach (7th Edition)
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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Using the following methods, determine the real roots of f(x)=2x³-11.1x² -26.75x+70.6 1. a) Rearrange the original function [with f(x) = 0] to find three iterative functions for x. Call them gi(x), g2(x), and g(x). Use successive substitution (also known as fixed-point iteration) to solve for the roots in Excel: b) Use initial guesses of x= 1 for each of the iterative functions. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found? c) Use initial guesses of x = 3 for each of the iterative functions given. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found?
Transcribed Image Text:Using the following methods, determine the real roots of f(x)=2x³-11.1x² -26.75x+70.6 1. a) Rearrange the original function [with f(x) = 0] to find three iterative functions for x. Call them gi(x), g2(x), and g(x). Use successive substitution (also known as fixed-point iteration) to solve for the roots in Excel: b) Use initial guesses of x= 1 for each of the iterative functions. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found? c) Use initial guesses of x = 3 for each of the iterative functions given. How many iterations does it take each function to converge to an error of less than 0.0001? Do they all converge? What are the values of the roots found?
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