in c++

1- Write a program that solves the following series Sin (x)= x - x3/3! +x5/5! x7/7! ...xn! 2- Write a program that solves the following series (Cos (x)= 1- x2/2! + x4/4! - x6/6! ...xn!) 3- Write a program that solves the following series ex = 1 + x1/1! + x2/2! + x3/3! ...xn! 4- Write a program that reads 10 integers and find the maximum and minimum of the numbers. 5- Write a program that read a set of characters from the keyboard until q is pressed. The program should count the occurrence of each of these characters (a, e and r). 6- Write a program that prints the prime numbers from 1 to 100. 7- Write a program that print the perfect imbers from 1 to 500