A simplified model of Earth\'s atmospheric mass density says that density decrea
ID: 3082047 • Letter: A
Question
A simplified model of Earth's atmospheric mass density says that density decreases exponentially with altitude: d(x) = 1.2ekx where x is measured in kilometers above sea level and d(x) is density (in kilogram per cubic meter). The exponential decay constant is k = -0.14. Assume that sea level is 6.400 kilometers away from the center of the earth and that the earth is a perfect sphere. Write a triple integral in appropriate coordinates that represents the mass of Earth's atmosphere from sea level to the nominal boundary of space (at a height of 100 kilometers), in kilograms. You do not have to evaluate it.Explanation / Answer
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