Consider the following equation: x - 2xe* + e?* = 0. %3D A numerical algorithm produced the following approximation of a root re equation x, = 0.567143470743, How much is the backward error (give the answer with one significant dia Estimate the multiplicity of the root the algorithm is trying to approximate Estimate the absolute error |r-x,| of x, to one significant digit: How many correct significant digits contains x, ?

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 66E
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Consider the following equation:
x² - 2xe* + e?* = 0.
A numerical algorithm produced the following approximation of a root r of this
equation
x, = 0.567143470743.
How much is the backward error (give the answer with one significant digit) ?
Estimate the multiplicity of the root the algorithm is trying to approximate :
Estimate the absolute error |r- x,| of x, to one significant digit:
How many correct significant digits contains x, ?
Transcribed Image Text:Consider the following equation: x² - 2xe* + e?* = 0. A numerical algorithm produced the following approximation of a root r of this equation x, = 0.567143470743. How much is the backward error (give the answer with one significant digit) ? Estimate the multiplicity of the root the algorithm is trying to approximate : Estimate the absolute error |r- x,| of x, to one significant digit: How many correct significant digits contains x, ?
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