Need some help with Dr. Racket programming.

Create a short Racket programs for each of the questions. Please copy and paste the actual code that was tested into the answer section. NOTE: There is no need for error checking: you may assume the user always calls these functions with the proper syntax and input. (a) Define a function that converts both Celsius to Fahrenheit and Fahrenheit to Celsius. So the ex- pression (convert 32 "F") results in 0 and (convert 20 "C") results in 68. You are encouraged to define functions that go in a single direction, then use a third function that invokes the correct conversion, based on whether the call includes the input "C" or "F". (b) Define a recursive function that sums the numbers from 1...n. (C) Define a function that sums up the numbers in a list of any size