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Homework: On paper (no computer needed), do the following programming (write the code by hand as you would on a test or an exam). 4. For any integer n>0, n! is defined as the product n Xn 1X 2... 2 1. O! is defined to be 1. It is sometimes useful to have a closed-form definition instead: for this purpose, an approximation can be used. R.W. Gosper proposed the following such approximation formula: 2n + Create a program that prompts the user to enter an integer n, uses Gosper's formula to approximate n!, and then displays the result. The message display- ing the result should look something like this: 5! equals approximately 119.97003 Show your homework to your lab assistant at the beginning of next week's lab. If you wish, you may try your solution with the computer to see if you got the correct solution (no need to show the computer version). Homework: On paper (no computer needed), do the following programming project (write the code by hand as you would on a test or an exam). 1. Write a program that calculates mileage reimbursement for a salesperson at a rate of $.35 per mile. Your program should interact with the user in this manner MILEAGE REIMBURSEMENT CALCULATOR Enter beginning odometer reading=> 13505.2 Enter ending odometer reading=> 13810.6 You traveled 305.4 miles. At $0.35 per mile, your reimbursement is $106.89. Show your homework to your lab assistant at the beginning of next week's lab. If you wish, you may try your solution with the computer to see if you got the correct solution (no need to show the computer version). Homeworks are to be done individually and their submission is optional