# . (25 points) The recurrence relation for the Newton's Raphson method is a)0.1.2 f(r.) F(z.) The ...

###### Question:

. (25 points) The recurrence relation for the Newton's Raphson method is a)0.1.2 f(r.) F(z.) The derivative of the function can be approximately evaluated using finite-difference method. Consider the Forward and Centered finite-difference formulas Forward Finite-Difference Centered Finite-Difference 2h It is worthwhile to mention that modified secant method was derived based on the forward finite- difference formula. Develop a MATLAB functions that has the following syntax function [root,fx,ea,iter]-modnetraph (func,x0,h,es,maxit,sethod, varargin) % modnevtraph: root location zeroes of nonlinear equation f (x) 0 % [root , fx ea, iter) "nodnevtraph(func .xo,b,es,saxit,method,p1.p2,..): % uses modified Newton's Raphson method to find the root of func % inputs: func name of function x0 initial guess h fixed increment to approxinate the derivative ea " desired relative error (default . 0.0001%) % maxit maximum allowable iterations (default-50) method - A string input (F or C) to specify either Forvard or pi,p2, root real root Centered finite-difference formulas (defaultc) aneters used by function % outputs: ea-approximate relative error (%) ter number of iterations 10-6 Test your developed function the following test functions using h Hint: Use avitch command. 0.05 and es

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