Determine the positive real root of In(2x2) = 3 using:(a) Three iterations of the bisection method, with initial guesses of x, = 2 and x = 4.%3D(b) Three iterations of the false-position method, with the same initial guesses as in (a).

(a) Given the function fx=ln2x2-3,2,4 Solve by bisection method ln2x2-3=0 x 2 3 4 fx -0.920…

Determine the positive real root of In(2x2) = 3 using: (a) Three iterations of the bisection method, with initial guesses of x, = 2 and x = 4. %3D %3D (b) Three iterations of the false-position method, with the same initial guesses as in (a).

Determine the positive real root of In(2x2) = 3 using: (a) Three iterations of the bisection method, with initial guesses of x, = 2 and x = 4. %3D %3D (b) Three iterations of the false-position method, with the same initial guesses as in (a).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 20EQ

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Question

Determine the positive real root of In(2x2) = 3 using:
(a) Three iterations of the bisection method, with initial guesses of x, = 2 and x = 4.
%3D
(b) Three iterations of the false-position method, with the same initial guesses as in (a).

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