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1. A feeding trough (shown in picture below) is L units long and its cross-section is an of radius r as shown in below When

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1. A feeding trough (shown in picture below) is L units long and its cross-section is an of radius r as shown in below When filled to x units from the t he equation top, the volume V contained is given by v=1[r2 tan-1(-)-nF-F] (in cubic units) using L Assuming L- 25.4 m and r - 2 m, determine x eratively snrmin to fre silanificant fhaures Newton-Raphson method, when 10 m2 or 25 m2 or 50 m2 or 100 m All intermediate steps should be clear and legible, including the differentiation. Comment on the role of initial starting point or interval selection in finding x using this method Calculate the true and approximate errors at each teration. Using the MATLAB code provided and discussed in class, caloculate the value of x using Bisection, False-position, One-point iteration and N-R methods. Provide the code on your flash drive highlighting any modifications you have made. Identify the number of iterations it takes to solve this function for each of these methods, and the method which converges the fastest v. Determine x beratively using Wegstein's approximation. Perform the fiest five iterations.on Plot the true, approximate, relative true, and relative approximate errors as a function of the number of iterations

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