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Use a calculator or program to compute the first 10 iterations of Newton's method when they are applied to the following function with the given initial approximation. f(x) = x² - 13; X=4

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

Use a calculator or program to compute the first 10 iterations of Newton's method when they are applied to the following function with the given initial approximation.
f(x)=x -13; Xy 74
k Xk
k Xk
8
3
9.
10
5.
(Round to six decimal places as needed.)
]!
7.

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