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Question: answer needs to be coded in matlab and explain the...

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Answer needs to be coded in matlab and explain the process

Exercise 1 Write a function chord method.m implementing the chord method to find the zeros of a nonlin- ear equation. The function should be of the following form function [z0,iter,res,his] chord method(fun,a,b,tol,Nmax) Inputs fun: function handle representing f(x) a, b: interval a, b] in which we believe there is a zero tol: maximum tolerance allowed for the increment r)-)I Nmax: aximum number of iterations allowed Outputs: z0: approximation of the zero iter: number of iterations to achieve tolerance tol on the increment (k+)-() res: residual at zo (i.e., If(zo)) his: vector collecting all elements of the sequence rk.. (convergence history) The function should return the numerical approximation of the zero when the increment at iteration k+1 is such that Irk+1)--(k)l < tol or when the iteration number reaches the maximum value Nmax.

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