answer 5 5. If a = 0.1 and b=1.0, how many steps of the bisection method are needed to determinethe 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 betaken 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 theinterval at the n-th step of this method. What is the maximum distance possible between theroot and the midpoint of this interval?

Value of a=0.1 b=1.0 Error =0.5*10^(-8) We have to calculate Steps for bisection method

Answered: 5. If a = 0.1 and b=1.0, how many steps…

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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1. Use Bisection method to compute the root of the equation f(x) = x? — x — 1 in the interval (1,2) accurate to within &€ = 0.2% .
1. Use Bisection method to compute the root of the equation f(x) = x? — x — 1 in the interval (1,2) accurate to within & = 0.2% .
How many iteration of the bisection method are needed to achieve an accuracy of ? = 5 × 10−2 when approximating the root of the following functions.i) f(x) = x^3-x^2-x-1,[1, 2].ii) g(?) = x- cos(x), [0, 1].
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An arrow is shot from the ground into the air at an initial speed of v0=108ft/s. Usetheformula h=−16t2+v0t Using t1=4 and t2=6,apply five iterations of the Bisection Method to find the value of c for which h(c)=130.To how many decimal places does the fifth approximation with the Bisection Method agree with the true value of c?
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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