Suppose we want to find the root of f(x) = 0 by the bisection method. Assuming that the root we want to find at the beginning of the iteration with xu and x, which are the upper and lower approximate values. Which of the following gives the relative error at the end of the iteration calculated? |Xu+x |'x-nx| Xu er B.) er = С.) еR |Xu+xil D.) eR Xu-X Xu E.) er = |'x_"x| II

Suppose we want to find the root of f(x) = 0 by the bisection method. Assuming that the root we want to find at the beginning of the iteration with xu and x, which are the upper and lower approximate values. Which of the following gives the relative error at the end of the iteration calculated? |Xu+x |'x-nx| Xu er B.) er = С.) еR |Xu+xil D.) eR Xu-X Xu E.) er = |'x_"x| II

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Description: Suppose we want to find the root of f (x) = 0 by the bisectionmethod. Assuming that the root we want to find at the beginning of theiteration with x, and x, which are the upper and lower approximate values.Which of the following gives the relative e

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Suppose we want to find the root of f (x) = 0 by the bisection
method. Assuming that the root we want to find at the beginning of the
iteration with x, and x, which are the upper and lower approximate values.
Which of the following gives the relative error at the end of the iteration
1.
calculated?
Xu
A.) eR =
B.) er =
|Xu+x1
Xu+x
C.) er =
|Xu¬X1l
|Xu+x1
Xu-X
D.) er =
|Xu+x1]
Xu
E.) er = |xu-x||

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