Atmospheric pressure decays exponentially as altitude increases. With pressure, P, in inches of mercury and altitude, h, in feet above sea level, we have P = 30 e ^ { - 3.23 \times 10 ^ { - 5 } h }.P=30e −3.23×10 −5h. (a) At what altitude is the atmospheric pressure 25 inches of mercury? (b) A glider measures the pressure to be 25 inches of mercury and experiences a pressure increase of 0.1 inches of mercury per minute. At what rate is it changing altitude?
