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Hi, I'm currently attempting to write code for a problem in a programming unit. We are asked to develop a code in MatLab to find

Hi, I'm currently attempting to write code for a problem in a programming unit.

We are asked to develop a code in MatLab to find a root of the equation: f(x) = cos(x) - x.

This MUST be done using the "Newton-Raphson Iteration" method.

A picture has been provided below with a template used for writing the code (we need to roughly follow this method).

Any help or tips would be appreciated, thank you!

image text in transcribed

function [x, fx] = newtonraphson(x0, f, dfdX, tol, max1 ters) % NEWTONRAPHSON finds root of a non-linear equation. - - Inputs: x0: initial guess f: function to find roots of (solve f(x) 0) dfdx: derivative function to find root of tol: upper bound on step size before solution accepted max iters: maximum number of iterations allowed. Returns: x: root estimate fx: f(x) disp 'Warning: dummy newton raphson implementation used.') fx - inf; iters 0: while abs (fx) > tol && iters

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