1. Write a program that calculates the factorial of a given integer using a loop. Prompt the user for input and display the result. 2. Create a program that calculates the sum of the digits of a given integer. For example, the sum of digits of 12345 is 1+ 2+ 3+ 4+ 5 = 15. 3. Generate a multiplication table for a number entered by the user. Print the table from 1 to 10. 4. Write a program that solves a quadratic equation of the form ax^2 + bx + c = 0. Prompt the user for the values of a, b, and c, and then calculate and display the roots of the equation. - b b - 4ac X = 2a 5. Look at the following equation. Write a program that reads required data from user and first computes the left-hand side of equation and then right hand side of equation and display the results of both computations. You must think that how this will be implemented in program. - = (n(n+)) 118 2