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assignment%206 - ME 18 2010 Fall a Text book Introduction...

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ME 18 2010 Fall Assignment 6 Due Wednesday Nov.10th a. Text book Introduction to matlab for engineers Problem: Chapter 4.6.35, 5.22 b. Newton-Raphson method is another mathematical finding roots method in engineering problem. ( http://en.wikipedia.org/wiki/Newton 's_method ). Compared with Bisection method, Newton s method is more efficient and especially for multi-roots problems. Develop a MATLAB function named: LAST_FIRST_rootfinder that helps find the root of an arbitrary function of a single variable using Newton-Raphson method: f(x)=x^3-6x^2+11x-6.1 You can define the function and the first derivative of the function using inline statements, other than using function to define. Your defined LAST_FIRST_rootfinder function will then be called to solve for the root. You will pass the function, the first derivative , an initial guess, the error tolerance and the maximum number of iterations be performed. Your defined function will return the root , the value of the function evaluated at the root and the number of iterations used.

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