For this assignment, you will need to write some short codes to complete the following problems. You are free to write in any language you prefer, including MATLAB, provided you do not use any built-in commands or intrinsic functions to shortcut the methods you are asked to investigate (though you may use them to verify your answers). For instance, you may not use MATLAB's fzero command to find the roots of an equation. The only restrictions on your codes are that they must write your output to a file, and numbers in your results must be properly formatted with an appropriate number of significant figures and column headers. Use exponential notation where (and only where) appropriate. (Hint: If you use exponential notation once in a column of data, use it for the entire column.) Please turn in both hard and electronic copies of your codes, and hardcopies of your results. Do not upload results to Canvas, only your code. 1. Root finding has its place in several applications in the areas of vibration (modal analysis of wing flutter). acoustics (microphone and speaker placement for acoustic signature measurements), and computational fluid dynamics (matching governing equations to proper numerical schemes for aerodynamic calculations). Determine the real root 2.0