Please write a ( MATLAB or C ) code for each of these questions

Question 1: [20 points] Write a computer program that calculates the approximate value of arctan(x) using the Maclaurin series approximation: 3 arctan x - x - up to 8 significant figures. Use ,-0.5x 102-n% in order to continue until the Ea falls below this criteria. Run your program for x-/4 and /6: tabulate the order of expansion, approximate values of arctan(x), the true and approximate percent relative errors for various terms that are taken for the series Question 2: [15 points] Consider the function, f(x)-e (3.2 sinx - 0.5 cosx) Write a computer program that uses Bisection Method, and calculates the root of the above function. Use the interval [34]. Continue the iterations until a falls below the pre-specified criteria of s-0.001%. The output table should show the following parameters for each iteration i: iteration number, values of xu and xl, value of functions at xu and xi, test value and true approximate percent relative errors. Ensure that the number of function evaluations are minimized and the assumptions of Bisection method are valid before each iteration, Note: See figure 5.11 for the pseudocode of Bisection Method. Question 1: [20 points] Write a computer program that calculates the approximate value of arctan(x) using the Maclaurin series approximation: 3 arctan x - x - up to 8 significant figures. Use ,-0.5x 102-n% in order to continue until the Ea falls below this criteria. Run your program for x-/4 and /6: tabulate the order of expansion, approximate values of arctan(x), the true and approximate percent relative errors for various terms that are taken for the series Question 2: [15 points] Consider the function, f(x)-e (3.2 sinx - 0.5 cosx) Write a computer program that uses Bisection Method, and calculates the root of the above function. Use the interval [34]. Continue the iterations until a falls below the pre-specified criteria of s-0.001%. The output table should show the following parameters for each iteration i: iteration number, values of xu and xl, value of functions at xu and xi, test value and true approximate percent relative errors. Ensure that the number of function evaluations are minimized and the assumptions of Bisection method are valid before each iteration, Note: See figure 5.11 for the pseudocode of Bisection Method