Formula 3 =  y( x) = (x^3 - 2x^2 + 5x – 25)/40 In terms of hand...

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Mechanical Engineering

Formula 3 =  y( x) = (x^3 - 2x^2 + 5x – 25)/40

In terms of hand calculations, determine the root of Formula 3given above by using the Newton-Raphson method. Start with aninitial guess of xo = -4, i.e., yo = y(-4). Label your successivesolution pairs as(xo yo), (x1, y1), (x2, y2)….Work out yoursolution (at each step) to an accuracy of two places below thedecimal point. Your overall solution is to display full detail ofevery step taken. At the end of your derivation, write a summarytable that displays the x, y and dy/dx values for each step alongthe solution path. Clearly state your final answer and the numberof iterations required to reach it.

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