ENGR 240- Computational Methods for Engineering Class Assignments blem 4 eram Casurements of the fuel efficiency of a car FE at various speeds v are shown in the table v (mi/h) FE (mpg) 15 25 35 45 65 75 28 29.5 30 30 2723 Using Matlab complete the following steps a. Curve-fit the data with a second-order polynomial. Use this polynomial to estimate the fuel efficiency at 60 mi/h. b. Curve-fit the data with a third-order polynomial. Use this polynomial to estimate the fuel efficiency at 60 mi/h. c. Calculate the percent difference between value of part a and b. d. Fit the data with linear interpolation. Use this interpolation to estimate the fuel efficiency at 60 mi/h. e. Fit the data with spline interpolation. Use this interpolation to estimate the fuel efficiency at 60 mi/h. f. Calculate the percent difference between value of part d and e. g Make a plot of raw data (using markers) and solution of parts a, b, d and e in a single plot. Add legend. Problem 5 e stress concentration factor k is the ratio between maximum stress tms and the average stress t. For a stepped