Show and explain all work. Each part is worth 10 points. The assignment is worth 40 points. Part 1: Application Medieval church architecture often features doors which can be described as a semicircle on top of a rectangle. Consider such a door has a width of y, and a height of x meters as you approach the following questions: X meters a. Find a function that expresses its area and specify the domain. b. Knowing that the perimeter of the door is 8 meters, can you find a formula for area that is a function of one variable? ~u y meters Part 3: Explain 2 Identify the vertical, and horizontal asymptotes of f(x) = %. Are there any holes X +ox+ in the function? How do you know? How can you write the function without a hole? (i.e., define a function that is identical 2 to fiix) = %, except with the holes filled in)