Overview: In this homework, you will use Amazon Lambda to create several Math functions that allow user input of up to $3$ variables with the results returned. Assignment: Total $100$ points, $17\mathrm{.}5\%$ of the overall class grade Prior to attempting this assignment, be sure you have completed the readings and activities in week $5.$ These activities are foundational and required to be successful in completing this homework. Please get started early as this assignment will take you longer than you think. $1.(80$ points$)$ Using your AWS Academy classroom environment, create at least $3$ Lambda functions that calculate a simple Mathematical function. The functions should take between $0$ and up to $3$ input variables and return the calculated output. You can all the Lambda function a name that make senses for the function you select. For example, if you opted to develop functions to calculate the square of a number, the area of a triangle and perimeter of a rectangle, you might use the following function names: $$ SquareofNumber $$ AreaOfTriangle $$ PerimeterOfRectangle You are free to choose the math function you want to implement and the name. Implement the code using Python and test each function with at least $3$ use cases. $2.(20$ points$)$ Describe the functions you implemented and provide screenshot demonstrating the successful running of each use case. With $3$ use cases and $3$ functions, this implies you will show output from $9$ total test runs. Be sure to provide a brief description of each screenshot. Any submissions that do not represent work originating from the student will be submitted to the Dean$$s office and evaluated for possible academic integrity violations and sanctions.