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)
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Can you help me place it into an excel cell.
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9b629bd-7b7c-4b52-85cc-46a95271ddc8%2Fbf069f8a-929e-448f-b703-d81b9e1417e6%2Fpn9ef2m_processed.jpeg&w=3840&q=75)
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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