Problem Statement: Suppose that a team of three parachutists (with masses m₁, m₂, and m₂) is connected by a weightless cord while free-falling at a velocity of v = 5 m/s, as illustrated in Figure 1. (a) Draw the force free-body diagram (FBD) for each parachute and for each FBD derive the mathematical equation using the Second's newton Law. Note that each parachute feels a drag force cv, where c denotes the drag coefficient, and its own weight mg, where g = 9.8m/s². (10 pts.) (b) Using the linear equations found in (a) and the values given in table 1, write the proper system of equations where a (acceleration), T (tension), and R (tension) are the three unknowns variables. (5 pts.) Table 1. Values of mass and drag coefficient. Mass, Parachutist kg 1 23 2824 70 60 40 Drag Coefficient, kg/s 10 14 17 (c) Express the system of linear equations found in (b) in matrix form. (5 pts.) (d) Solve the system of equations derived in (b) with Gauss elimination. (25 pts.) (e) Solve the system of equations derived in (b) with Gauss- Jourdan method. (25 pts.) Fig. 1. Three-parachutists free-falling while connected by weightless cords (Figure taken from 1) (f) Solve the system of equation derived in (b) with LU decomposition using Crout's method. (25 pts.) (g) Use the MATLAB program given in textbook (page 109) in order to corroborate your answers. Send your script file with the result included. The latter in comment form using (%). (5 pts.) Note: Solve (d), (e), and (f) by hand, and show all the procedure.