Question 1: Follow the function design recipe to define functions for all of the following Exercises. For each function, create three examples to test your functions. Record the definitions in the sample script my-functions.py Example 1 Write a python function average () that will calculate the average of two numbers. It should have two arguments, the two numbers in the average. A junior developer at your firm made an initial attempt in the sample script my functions.py but left to join a start-up in California. You might have to make some adjustments to the function. Example 2 Write a python function area of_circle() that will calculate the area of a circle. The only argument should be the radius of the circle. Example 3 Write a python function volume_of_cylinder() that will calculate the volume of a cylinder. The first argument should be the radius of the circle at the base of the cylinder. The second argument should be the height of the cylinder. You can call your function area of circle within this function. Example 1 Write a python function utility) that will calculate the value of the Cobb-Douglass utility function ur,y; a) = x^yl-~. The first two arguments are r and y, respectively, and the third is a. Example 5 Write a python function logit) that will calculate the logit link function Bot28. 1+eo+r3, lir; Bo. 81) = Probly = 17) 1 tears The first argument is r and the last two are Bo and 31