Notes: 1) You can use any programming language you prefer to write codes to solve the following questions. 2) Do not try to copy exact code from websites. Also, do not copy from your classmates. It is very easy to find out the copying, and you will get zero. Submission Instructions: Include the 3 codes, their outputs in a single Word document and upload. Question 1: [10 points] Write a computer program that calculates the approximate value of arctan(x) using the Maclaurin series approximation: arctan(x) = ?n-0 (-1)1x 2n+1 up to 8 significant figures. Use ?.-(0.5 x 102-n )% in order to continue until the ?? falls below this criteria. Also calculate true and approximate percent relative errors for various terms that are taken for the series, Run your program for x-? /6, and provide the snapshot of the output of your program Note: Show the approximate results for more than 8 significant figures rounded for different number of terms to show that the final approximate is accurate to at least 8 significant figures