Define a main program and a function program 2. Main program a. define the vectors x, y, and the vector for the initial guess for a. Use your engineering judgment to come up with an appropriate initial guess vector for {a}. It should be fairly obvious what "ballpark" initial guesses should be for a1 and a3, but a2 is not so obvious. b. determine the coefficients using fminsearch c. output the coefficients as follows The initial temperature of the water is: #.41 The room temperature is: #.43 The calculated constant k is: #.###12 d. generate a plot showing the original data points as symbols and a solid line for the equation room kt T