Question 2 (Total: 10 marks) a) Given the following equations: 15x1 X3 + 2x3 = 412 3x, + 8% 2x3 =20 X1 |x2 + 1OX3 = Using the following initial guess, Calculate the solution by Gauss Seidel method. X1 0 *4 0 Present your result at each iteration. b) An propeller powered aircraft 1s flying at altitude of 1000m, the level flight power required of the aircraft is given by the following equation: Pr = 4.25V3 1050.2 V2 + 140000V + 460 W The maximum engine power is 10,000 kW Use the initial guess: V = 100 m/s , formulate a computation procedure to compute he maximum speed of the aircraft using Newton's Raphson method. The accuracy should be upto 1 decimal point in m/s c) A rectangular wing having a constant chord length. Its half wing span-wise distribution of sectional lift coefficient is given as follow: y (m) G Sectional Cl distribution 0.0000 0.3785026 0.8518 0.3770185 ) e 1.6826 0.3723656 03 . 2.4720 0.3638927 0 025 \\\\ 3.2005 0.3503956 g o2 3.8502 0.3299093 S 4.4051 0.2994608 e 4.8515 0.2550066 0 5. 1785 0.1918889 0.0000 1.0000 20000 3 _'Jlf.]tl[: 4.0000 5.0000 6.0000 5.3780 0.1062034 : Use trapezoidal rule to design and compose a computational step to calculate the total lift coefficient of the wing