Use the Fixed-Point Iteration Method to determine a solution correct to one significant digit for f(x)=e* –x² +3x– 2=0 on [0,1] with an initial guess of xo=0.1k. Determine three iteration functions (g(x)) and check for the convergence of the fixed iteration method. Calculate the approximate relative error for each iteration

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

k=3

Use the Fixed-Point Iteration Method to determine a solution correct to one significant
digit for
f(x)=e* – x² +3x–2=0
on [0,1] with an initial guess of xo=0.1lk. Determine three iteration functions (g(x)) and
check for the convergence of the fixed iteration method. Calculate the approximate
relative error for each iteration
Transcribed Image Text:Use the Fixed-Point Iteration Method to determine a solution correct to one significant digit for f(x)=e* – x² +3x–2=0 on [0,1] with an initial guess of xo=0.1lk. Determine three iteration functions (g(x)) and check for the convergence of the fixed iteration method. Calculate the approximate relative error for each iteration
For the questions, take the value of kas the last digit of your student number. If the last digit of
your student number is 0, take k as 10. For example, for a student whose number is 04000375, as
the last digit of the student number is 5, k=5 and a value given as 0. 1k in the question would be
equal to 0.1 × 5 = 0. 5
Transcribed Image Text:For the questions, take the value of kas the last digit of your student number. If the last digit of your student number is 0, take k as 10. For example, for a student whose number is 04000375, as the last digit of the student number is 5, k=5 and a value given as 0. 1k in the question would be equal to 0.1 × 5 = 0. 5
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