Problem 4 (10 points) Write a script file to plot the function f(x) = x³- 2x² - 10sin² (x) - e0.9x and its derivative f'(x) = 3x² - 4x - 20sin(x)cos (x) - 0.9e0.9x for -2≤ x ≤4 in ONE PLOT. Plot f(x) with a solid red line and f'(x) with a dashed blue line; include a legend. Problem 5 (20 points) The pressure p, volume V, and temperature T of an ideal gas are related by the following equation: p V = nR T, where n is the number of moles and R = 8.3145 J/(K mol) is the ideal gas constant. Plot pressure over volume (called an isotherm) for 1 mole of an ideal gas at temperatures of T = 100, 200, 300, and 400K for volumes ranging from 1 to 10 m³ (four curves/graphs in ONE PLOT using the hold command). Choose different line COLORS/STYLES that make the curves/graphs easy to DISTINGUISH. Label the axes and display a legend.