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The atmospheric pressure, P, decreases exponentially with altitude, h. Suppose the air pressure is 101.3 kPa...

The atmospheric pressure, P, decreases exponentially with altitude, h. Suppose the air pressure is 101.3 kPa at sea level, and the air pressure at the peak of Mount Everest (altitude of 8848 m, the highest point on Earth) is 33.7 kPa.

a. Find the rate of change of atmospheric pressure with respect to altitude at sea level.

b. Find the air pressure on the surface of Dead Sea (altitude of 420 m below sea level, the lowest point on earth).

c. Find the altitude where the air pressure is half of that at sea level.

Math   Calculus   
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