Earth’s atmospheric pressure p is oftenmodeled by assuming that the rate dp/dh at which p changeswith the altitude h above sea level is proportional to p. Supposethat the pressure at sea level is 1013 millibars (about 14.7 poundsper square inch) and that the pressure at an altitude of 20 km is90 millibars. At what altitude does the pressure equal 900 millibars?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Earth’s atmospheric pressure p is often
modeled by assuming that the rate dp/dh at which p changes
with the altitude h above sea level is proportional to p. Suppose
that the pressure at sea level is 1013 millibars (about 14.7 pounds
per square inch) and that the pressure at an altitude of 20 km is
90 millibars. At what altitude does the pressure equal 900 millibars?

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