Develop a c++ program

1. Make one recursive function shownumbtos( ). The function takes one integer n as parameter. The function will not return any value, but it will display n(n-1)(n-2)..321. The precondition is that n is a positive integer when this function is called. For example, in the main function, if there is a call shownumbtos(6), the following will be displayed:

654321

2. Make a recursive function shownumstob( ). The function is similar to the shownumbtos( ) in question #1, but this function will display the numbers from 1 to n. For example, shownumstob(6); will display

123456

3. Make one recursive function double p(b, e). It will return (not display) the value of b raised to the power of e. For example, cout << p(2,3); will display 8, which is 2*2*2. The precondition is that b and e are both positive integers.

4. Make one recursive function f( ). The function takes one integer n as parameter. It will return the value of n*(n-1)*(n-2)...3*2*1. The precondition is that n is a positive integer.

5. In your main function,

5a. ask the user to enter a number and call shownumbtos( ) to show the result.

5b. use the same user input to call shownumstob( ) to show the result.

5c. use the same user input to display the result by calling f( ) function.

5d. ask the user to enter a base number and an exponent. Display the result of the power by calling the p( ) function.