Expand sin(Ax) to Maclaurin series up to and including 6th order terms. Do hand calculation and show all the steps clearly. A is the last digit in your student ID + 1. Prepare a Matlab code that can be used to approximate the above function. Your script should include a function which returns the output, approximate and true errors. The input of the function should be the value of x, significant figures for the required accuracy, and the maximum number of iterations. Use stopping criteria in your code such that the result is correct to at least the number of significant digits input by the user. Your function should stop if the maximum number of iterations is exceeded and should return a message stating that the solution did not converge. Calculate the relative percent approximate and true errors after the addition of new terms to the approximation. Prepare a table and show your results including the true and approximate values and the errors at each step. Prepare a two-page report including your calculations, Matlab code, and the results. The file name should be 'StudentID_Name_Surname.pdf". Work on your own. The structure and the symbols in your code should be specific to yourself. Expand sin(Ax) to Maclaurin series up to and including 6th order terms. Do hand calculation and show all the steps clearly. A is the last digit in your student ID + 1. Prepare a Matlab code that can be used to approximate the above function. Your script should include a function which returns the output, approximate and true errors. The input of the function should be the value of x, significant figures for the required accuracy, and the maximum number of iterations. Use stopping criteria in your code such that the result is correct to at least the number of significant digits input by the user. Your function should stop if the maximum number of iterations is exceeded and should return a message stating that the solution did not converge. Calculate the relative percent approximate and true errors after the addition of new terms to the approximation. Prepare a table and show your results including the true and approximate values and the errors at each step. Prepare a two-page report including your calculations, Matlab code, and the results. The file name should be 'StudentID_Name_Surname.pdf". Work on your own. The structure and the symbols in your code should be specific to yourself