3. Solve the following problem. Write your answer in complete sentence including appropriate units The rate of change of the atmospheric pressure P with respect to the altitude h is proportional to P (provided that the temperature is constant). At 15°C, the atmospheric pressure decreases about 12% for every 1000 meters and the pressure at sea level is 101.3 kPa (kiloPascals). a) Write the differential equation for P(h) and use the above information to find an expression for P in terms of h (i.e. determine C and k) b) What is the atmospheric pressure at the top of Mount Denali in Alaska if the altitude is 6187 m?
3. Solve the following problem. Write your answer in complete sentence including appropriate units The rate of change of the atmospheric pressure P with respect to the altitude h is proportional to P (provided that the temperature is constant). At 15°C, the atmospheric pressure decreases about 12% for every 1000 meters and the pressure at sea level is 101.3 kPa (kiloPascals). a) Write the differential equation for P(h) and use the above information to find an expression for P in terms of h (i.e. determine C and k) b) What is the atmospheric pressure at the top of Mount Denali in Alaska if the altitude is 6187 m?
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:3. Solve the following problem. Write your answer in complete sentence including appropriate units
The rate of change of the atmospheric pressure P with respect to the altitude h is proportional to P (provided that the
temperature is constant). At 15°C, the atmospheric pressure decreases about 12% for every 1000 meters and the pressure
at sea level is 101.3 kPa (kiloPascals).
a) Write the differential equation for P(h) and use the above information to find an expression for P in terms of h (i.e.
determine C and k)
b) What is the atmospheric pressure at the top of Mount Denali in Alaska if the altitude is 6187 m?
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