Print the screen shot of your MATLAB code with output. Printout must be legible. The first line of your code must be % your name. You must show your NAU user narne in the "Editor" header. Use NAU computers (possibly the NAU Remote Desktop). Problem. Use the following pseudocode for the Nevton-Raphson Method and write a MATLAB code to approximate the cube root a of a given number a with accuracy roughly within 10-8 using zo = a/2. Use miaximum 1 commenting on them. 00 iterations. Explain steps by Use f(z) = r"-a. Choose a 2 + w where w is the last digit of your NAU user name. Algorithm Newton-Raphson-Iteration Input: f(z)-r'-a, zo = a/2, tolerance 10-8, maximinn number of iterations 100 Output: an approximation of a within 10-8 or a message of failure for i 1 to 100 if Ir - zold] 10- % checking required accuracy % done % leave for environment FoundSolution= true; break end if % update told for the next iteration end for if FoundSolution else end if print z, 'The nurnber of iteration=,, 1 print "The required accuracy is not reached in 100 iterations Recommended commands: (See Matlab 0) . To show all digits in output, start your code with the command . For f', define the function df (x) 3r2 by using the command format long df = a(z) 3 * r."2