5. If a = 0.1 and b=1.0, how many steps of the bisection method are needed to determine the root with an error of at most 0.5×1082
5. If a = 0.1 and b=1.0, how many steps of the bisection method are needed to determine the root with an error of at most 0.5×1082
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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answer 5
![5. If a = 0.1 and b=1.0, how many steps of the bisection method are needed to determine
the root with an error of at most 0.5×10¯8 ?
6. If the bisection method is used starting with the interval [1, 3], how many steps must be
taken to compute a root accurate to 4 decimal places?
7. Consider the bisection method starting with the interval [1.0. 2.5]. Find the width of the
interval at the n-th step of this method. What is the maximum distance possible between the
root and the midpoint of this interval?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fb2d316-2402-4377-835d-bb3f3e603de5%2F1a20e44c-50c5-453a-a6a8-31f6ba56b657%2Fryhprct_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. If a = 0.1 and b=1.0, how many steps of the bisection method are needed to determine
the root with an error of at most 0.5×10¯8 ?
6. If the bisection method is used starting with the interval [1, 3], how many steps must be
taken to compute a root accurate to 4 decimal places?
7. Consider the bisection method starting with the interval [1.0. 2.5]. Find the width of the
interval at the n-th step of this method. What is the maximum distance possible between the
root and the midpoint of this interval?
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