For each of these problems, write a program that addresses the requirements. Compile and execute the programs. If you want to explain your program then you can either $(1)$ add comments in your code or $(2)$ copy and paste the program and outputs into a $.$doc$/.$docx document along with any necessary comments explaining your approach and save it as a PDF or $(3)$ do both. Put all original program files and the PDF into a zip file. Name this file "LastFirstLab#$"$ where Last and First are parts of your name and # is the assignment number.

Include comments in your code that give your name and the assignment.

MATLAB comments begin with $"\%".$

Whenever printing a value to the screen, also print a staternent defining the value and any units.

Example: Print "the value of $x$ is $23"$ instead of $"23".$

blem $1$

$40$

The arctangent can be reliably approximated across the range $-1,1$ by the summation

$ta{n}^{-1}(x)={\displaystyle \underset{n=0}{\overset{}{}}}(-1{)}^n\frac{x^{2n+1}}{2n+1}$

Write both $C$ and Matlab scripts that accept inputs for the value of $x$ and the number of summation terms and then print the value of $ta{n}^{-1}(x).$

First, solve this problem using a for loop. Then solve it usirg a while loop. These methods may be included in a single script. Print both outputs.