needs to be in c++ coding
Sample run:
Calculating the Special Differences:
Enter the numbers:
1234
57
982
603
-2
The Sum is 4095
Calculating e^x through Taylors Series Expansion:
Enter the value of x: 5
Enter the number of terms: 20
e^x is 148.413
2 Program 1 - Writing Functions - 75 points Squilliam Fancyson has heard of the fancy calculator that Squidward (supposedly) made for the Krusty Krab's Cash Register. Determined to prove that he is the best programmer in town, he has challenged Squidward to a series of programming challenges. If Squilliam wins, Squidward has to hand over his clarinet and never paint again. If Squidward wins, Squilliam will work Squidward's shift at the Krusty Krab's cash register for a week. Squidward is determined to win, except he is not really a programmer. He has left no stone (pioneer transport or otherwise) unturned. He has even tried asking Karen, who was unable to help. He realizes that instead of working off Mr Krabs' old computer (the one Patrick smashed while painting the house), he could just pay you off to do the challenges for him. Your task today is to help Squidward retain his sanity and dignity (whatever is left of it) The first challenge is to write a few mathematical functions. For this program, we define a new term called Special Difference. The Special Difference of a number is the difference between the number and the one you obtain by reversing its digits. For example, the Special Difference of 1234 is 3087 (| 1234 4321 |) We also find the value of e using the Taylor's series expansion. The Taylor's Scries expansion of e is defined as inf n=0 Please mak e sure your program conforms to the following requirements. 1. Write a function called reverse that takes a number as a parameter and returns the reversed number. (20 points) 2. Write a function called difference that accepts a number as a parameter, calculates the special difference of the number and returns it. (15 points) 3. Write a function called factorial that returns the factorial of a number. You can use the code from the class examples. 4, write a function called sum that takes 'x' and a number 'n' as a parameter and calculates ez accurate to the 'nth' term. (20 points) 5. You can use the pow function to calculate x" 6. In the main function, accept a series of numbers from the user. Stop if the number entered is negative. Use the difference method to find the sum of the special differences and print it. (10 points) 7. Next, still in the main function, accept the values of 'x' and 'n' from the user and use the sum function to calculate the required value and print it. (5 points) 8. Make sure you add comments to explain your logic. (5 points) 2 Program 1 - Writing Functions - 75 points Squilliam Fancyson has heard of the fancy calculator that Squidward (supposedly) made for the Krusty Krab's Cash Register. Determined to prove that he is the best programmer in town, he has challenged Squidward to a series of programming challenges. If Squilliam wins, Squidward has to hand over his clarinet and never paint again. If Squidward wins, Squilliam will work Squidward's shift at the Krusty Krab's cash register for a week. Squidward is determined to win, except he is not really a programmer. He has left no stone (pioneer transport or otherwise) unturned. He has even tried asking Karen, who was unable to help. He realizes that instead of working off Mr Krabs' old computer (the one Patrick smashed while painting the house), he could just pay you off to do the challenges for him. Your task today is to help Squidward retain his sanity and dignity (whatever is left of it) The first challenge is to write a few mathematical functions. For this program, we define a new term called Special Difference. The Special Difference of a number is the difference between the number and the one you obtain by reversing its digits. For example, the Special Difference of 1234 is 3087 (| 1234 4321 |) We also find the value of e using the Taylor's series expansion. The Taylor's Scries expansion of e is defined as inf n=0 Please mak e sure your program conforms to the following requirements. 1. Write a function called reverse that takes a number as a parameter and returns the reversed number. (20 points) 2. Write a function called difference that accepts a number as a parameter, calculates the special difference of the number and returns it. (15 points) 3. Write a function called factorial that returns the factorial of a number. You can use the code from the class examples. 4, write a function called sum that takes 'x' and a number 'n' as a parameter and calculates ez accurate to the 'nth' term. (20 points) 5. You can use the pow function to calculate x" 6. In the main function, accept a series of numbers from the user. Stop if the number entered is negative. Use the difference method to find the sum of the special differences and print it. (10 points) 7. Next, still in the main function, accept the values of 'x' and 'n' from the user and use the sum function to calculate the required value and print it. (5 points) 8. Make sure you add comments to explain your logic. (5 points)
