Use Newton's method to approximate a root of the equation In(5x) = arctan(x -0.1) as follows. Let x₁ = 0.1 be the initial approximation. The fourth approximation 4 is and the fifth approximation is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Use Newton’s Method to approximate a root of the equation ln(5x)=arctan(x-0.1) as follows. Let x1=0.1 be the initial approximation. See picture.
Use Newton's method to approximate a root of the equation In(5x) = arctan(x - 0.1) as follows.
Let x₁ = 0.1 be the initial approximation.
The fourth approximation 4 is
and the fifth approximation is
Transcribed Image Text:Use Newton's method to approximate a root of the equation In(5x) = arctan(x - 0.1) as follows. Let x₁ = 0.1 be the initial approximation. The fourth approximation 4 is and the fifth approximation is
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