Purpose: The purpose of this assignment is to gain experience with C++ syntax and in using Newton- Raphson iteration to find roots. Your goal: Write a C++ program that solves that uses Newton-Raphson iteration to find the roots of the function f(x) = x+3sin(2x Your code should prompt the user to enter an initial guess for the root. In the header block of comments note how many roots you found, what the approximate values of the roots are, and what initial guesses you used to find each root