Find a root for the following function using Bisection method by taking suitable initial guesses. ?(?) = ??(?)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Find a root for the following function using Bisection method by taking suitable initial guesses. ?(?) = ??(?)
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Step 1

Bisection method :

The Bisection method is utilized to track down the underlying foundations of a polynomial condition. It isolates the span and partitions the stretch wherein the foundation of the situation lies. The standard behind this strategy is the transitional hypothesis for consistent capabilities. It works by limiting the hole between the positive and negative stretches until it surrounds the right response. This technique limits the hole by taking the normal of the positive and negative spans. It is a basic technique and it is moderately sluggish. The separation strategy is otherwise called span splitting technique, root-tracking down technique, parallel inquiry technique or polarity strategy.

Allow us to think about a ceaseless capability "f" which is characterized on the shut stretch [a, b], is given with f(a) and f(b) of various signs. Then, at that point, by moderate hypothesis, there exists a point x have a place with (a, b) for which f(x) = 0.

 

 

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