Atmospheric pressure decays exponentially as altitude increases. With pressure, P, in inches of mercury and altitude, h, in feet above sea level, we can approximate --3.23×10-³h P = 30e- (a) At what altitude is the atmospheric pressure 28 inches of mercury? Round your answer to three decimal places. The altitude is i feet. (b) A glider measures the pressure to be 28 inches of mercury and experiences a pressure increase of 0.2 inches of mercury per minute. At what rate is it changing altitude? Round your answer to the nearest integer. The altitude is changing at a rate of i feet per minute.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.