) Explain Newton's algorithm.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 1E
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e-x – 0.2 = 0
i) Explain Newton's algorithm.
ii) Plot the function and determine suitable initial point in order to find negative root of the
equation. Find negative root of the equation with error is less than 10 7 by Newton's method in
MATLAB (or any other computation tool.)
iii) Obtain the table which contains n, xn, f (xn),| Xn – Xn-1| values for each iteration step.
Transcribed Image Text:e-x – 0.2 = 0 i) Explain Newton's algorithm. ii) Plot the function and determine suitable initial point in order to find negative root of the equation. Find negative root of the equation with error is less than 10 7 by Newton's method in MATLAB (or any other computation tool.) iii) Obtain the table which contains n, xn, f (xn),| Xn – Xn-1| values for each iteration step.
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