What are outputs produced by the following code segments? Show all spaces, newlines, and tabs if any are present in the output. a. double num= 75; if (num> 90) { cout < 60) { cout < 70) { cout < b. void update(char &c, int count) { c = count + 2; char ch = 'A'; int i; for (i =0; i < 4; i++) update (ch, i); cout < < ch; } ch ch + i; cout < < ch; = C. d. double num = int max = 10; cout < < fixed < Write a function that finds the factorial of a number (n!) Write a function that returns the letter grade for a given score Write a function to convert a small letter to a capital letter Write a function that returns true if a character is a small letter, false otherwise Write a function that returns true if a character is a digit, false otherwise Write a function that returns true if a character is a white space, false otherwise Write a function that returns the average of all the numbers stored in a file Write a function that finds the smallest number stored in a file Write a function that counts and returns the number of vowels inside a text file