Consider the equation 7.3x cos x = 3.8, or in the notation above 7.3x cos x - 3.8 = 0. 1. For this situation, what is f(x)? 2. Set up an Excel spreadsheet, or a program in your favorite programming language, to find solutions to the above equation. (Submit this file along with your answers to the questions.) 3. Starting with a guess of x = 5, what solution does Newton's method converge to? (Run the method until the x values don't change in the first five decimal places.) 4. There are seven solutions to 7.3x cos x = 3.8 between x = 0 and x = 20 (it is at heart a sine wave, after all). By varying your initial guess, find them all to within five decimal places. Upload your results using the blue "Submit Assignment" button at the top of the page. Be sure to show all of your work in making these calculations