QUESTION 1 The root of f(x) = 4x² - 3 is to be used to approximate √3/4. (a) Prove that a root exists in the interval [0, 1]. Estimate also the number of iterations required to approx- imate the root by the bisection method correct to 10-4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 68E
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QUESTION 1
The root of f(x) = 4x² - 3 is to be used to approximate √3/4.
(a) Prove that a root exists in the interval [0, 1]. Estimate also the number of iterations required to approx-
imate the root by the bisection method correct to 10-4.
Transcribed Image Text:QUESTION 1 The root of f(x) = 4x² - 3 is to be used to approximate √3/4. (a) Prove that a root exists in the interval [0, 1]. Estimate also the number of iterations required to approx- imate the root by the bisection method correct to 10-4.
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