(b) Explain the Newton method for computing the roots of equation f(x) = 0. Perform three iterations of the Newton method to find the smallest positive roots of the equation: f(x)=x²³5x+1=0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 57E
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(b)
Explain the Newton method for computing the roots of
equation f(x) = 0. Perform three iterations of the Newton
method to find the smallest positive roots of the
equation:
f(x)=x²³5x+1=0.
Transcribed Image Text:(b) Explain the Newton method for computing the roots of equation f(x) = 0. Perform three iterations of the Newton method to find the smallest positive roots of the equation: f(x)=x²³5x+1=0.
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