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If the temperature is constant, then the atmospheric pressure P (in pounds/square inch) varies with the altitude above sea level h in accordance with the law where p0 is the atmospheric pressure at sea level and k is a constant.
If the atmospheric pressure is 17 lb/in.2 at sea level and 11.5 lb/in.2 at 5,000 ft, how fast is the atmospheric pressure changing with respect to altitude at an altitude of 15,000 ft? Give the answer to four decimal places.
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