In: Mechanical Engineering
Formula 3 = y( x) = (x^3 - 2x^2 + 5x – 25)/40
In terms of hand calculations, determine the root of Formula 3 given above by using the Newton-Raphson method. Start with an initial guess of xo = -4, i.e., yo = y(-4). Label your successive solution pairs as(xo yo), (x1, y1), (x2, y2)….Work out your solution (at each step) to an accuracy of two places below the decimal point. Your overall solution is to display full detail of every step taken. At the end of your derivation, write a summary table that displays the x, y and dy/dx values for each step along the solution path. Clearly state your final answer and the number of iterations required to reach it.