The following data in Table 3.1 for the density of nitrogen gas versus temperature come from a table that was measured with high precision. Table 3.1: Density of nitrogen gas versus temperature 250 300 350 400 T(K) 200 450 Density (kg/m) 1.708 1.367 1.139 0.967 0.854 0.759 a) Develop a MATLAB script to fit the data with a 3rd order polynomial equation and plot the curve fitting graph as shown in Figure 3.1 using appropriate MATLAB built-in function. (25 Marks) MATLAB script: 3 2.5 N Density of Nitrogen 1.5 1 S 0.5 100 150 200 350 400 450 250 300 Temperature Figure 3.1: Graph of program output b) Give your justification for all MATLAB built-in functions that you have select to apply in the MATLAB program. (10 Marks)