Air pressure, P, decreases exponentially with altitude h (measured in meters) above sea level. It is known that at the standard cruising altitude h = 12000 meters of a passenger jet the air pressure is approximately 23.6% of the pressure Po at sea level. Units of pressure are set so that Po = 1, which means that at h = 12000 the pressure is P = 0.236. (a) (2 marks) Determine the function P(h) = Poeh that represents the pres- sure at altitude h as a percentage of the pressure at sea level. (b) (2 marks) During the flight, the pilot is advised to avoid a weather system by lowering the cruising altitude to h = 10000 meters. What is the air pressure at that altitude, as a percentage of the pressure Po at sea level?