Consider an airplane patented after the Beechcraft Bonanza V-tailed, single-engine light private airplane. The characteristics of the airplane are as follows: aspect ratio = 6.2, wing area = 181 ft2 , Oswald efficiency factor = 0.91, weight = 3000 lb, and zero-lift drag coefficient = 0.027. The airplane is powered by a single piston engine of 345 hp maximum at sea level. Assume that the power of the engine is proportional to the free-stream density and does not depend on velocity. The two-blade propeller has an efficiency of 0.83. a. Calculate the power required at sea level. b. Calculate the maximum velocity at sea level. c. Calculate the power required at 12,000-ft altitude. d. Calculate the maximum velocity at 12,000-ft altitude. Use the following velocities for calculating PR at the sea level: 70, 100, 150, 200, 250, 300, 350 ft/s. You may want to automate the calculation procedure in Matlab or other program.