4) ( The function f(x)=x'-5x +3x+9 has a double root at x= 3. Use a) the standard Newton-Raphson, b) the modified Newton-Raphson to solve for this root. Compare the rate of convergence using an initial guess of x, = 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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4) (*
The function f(x)=x -5x +3x+9_has a double root at x = 3. Use a) the
standard Newton-Raphson, b) the modified Newton-Raphson to solve for this root. Compare
the rate of convergence using an initial guess of x, = 4.
Transcribed Image Text:4) (* The function f(x)=x -5x +3x+9_has a double root at x = 3. Use a) the standard Newton-Raphson, b) the modified Newton-Raphson to solve for this root. Compare the rate of convergence using an initial guess of x, = 4.
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