Create a script that does the actions listed below. Make sure to include a proper header including your

name at the top of the script and publish the script into a pdf file. Be sure to follow the homework

requirements

has to be coded in matlab

5. (20 Points) Use the Newton-Raphson method to estimate the root after 10 iterations for the function: g(x) = 3x3 - 2.5x - 15 Use an initial guess of Xo = 0.6. Save the answer from each iteration in a vector. You must use a loop and your single line calculation must be performed by accessing the proper element in the vector and assigning the result to the proper element in the same vector. For example, suppose you call the vector X. Then the one line in the loop would be X(?) = X(?) You will need to determine what should replace the question mark and what should be inserted in the blank. So, before the first iteration, you would have a vector X = (XO), after the first iteration, X = [XO X1), and so forth. In addition, a. Display the vector as a column vector using the disp command. b. Calculate the exact real root using the roots function. Display using an fprintf statement with 10 digits to the right of the decimal point. c. Use an fprintf statement to display and answer the question: Why does the Newton-Raphson method initially overshoot the exact value and then increase or decrease) to converge to the exact value