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.
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.
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e07c198-230d-4ff8-84f9-46f2158462f3%2F0801945b-e27e-4a9a-a950-9b2e31b7e7d0%2Fe48qi6i_processed.jpeg&w=3840&q=75)
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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