Question 6 (10 Marks) a) b) c) Given the following equations: 8x₁ + 2x₂ - 2xy = 8 10x₁ + 2x2 + 4x3 = 16 12x₂ + 2x₂ + 2x3 =

16 Calculate the solution by Gauss Elimination method. Show all steps of the computation. An aircraft flying at altitude of 5000m, the total drag of the aircraft is given by the following equation: D = 3.2345V² - 1050.2 V + 130420 The engine thrust set at part power is given by the equation: T = 0.5V² +89 V + 54050 Use the initial guess: V₁ = 160 m/s and V₁ = 220, formulate a computation procedure to determine the operating speed of the aircraft using bisectional method. The accuracy should be upto 1 decimal point in m/s Upon deflecting aileron, the aircraft developed a roll rate that is given by the following equation: (where is the aircraft bank angle in degree) do dt = 0.615e-0.34t Use Simpson's 3/8 rule to design and implement a computational step to calculate the change in aircraft bank angle over 15 seconds.