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93. According to the U.S. standard atmospheric model, developed by the National Oceanic and Atmospheric Administration for use in aircraft and rocket design, atmospheric temperature T (in degrees Celsius), pressure P (kPa = 1000 pascals), and altitude h (in meters) are related by these formulas (valid in the troposphere h < 11,000): T = 15.04 – 0.000649h, P = 101.29 + T + 273.1\ 5.256 288.08 Use the Chain Rule to calculate d P/dh. Then estimate the change in P (in pascals, Pa) per additional meter of altitude when h = 3000.

93. According to the U.S. standard atmospheric model, developed by the National Oceanic and Atmospheric Administration for use in aircraft and rocket design, atmospheric temperature T (in degrees Celsius), pressure P (kPa = 1000 pascals), and altitude h (in meters) are related by these formulas (valid in the troposphere h < 11,000): T = 15.04 – 0.000649h, P = 101.29 + T + 273.1\ 5.256 288.08 Use the Chain Rule to calculate d P/dh. Then estimate the change in P (in pascals, Pa) per additional meter of altitude when h = 3000.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 44RE
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93. According to the U.S. standard atmospheric model, developed by the National Oceanic and Atmospheric Administration for use in aircraft and rocket design, atmospheric temperature T (in degrees Celsius), pressure P (kPa = 1000 pascals), and altitude h (in meters) are related by these formulas (valid in the troposphere h < 11,000): T = 15.04 – 0.000649h, P = 101.29 + T + 273.1\ 5.256 288.08 Use the Chain Rule to calculate d P/dh. Then estimate the change in P (in pascals, Pa) per additional meter of altitude when h = 3000.
Transcribed Image Text:93. According to the U.S. standard atmospheric model, developed by the National Oceanic and Atmospheric Administration for use in aircraft and rocket design, atmospheric temperature T (in degrees Celsius), pressure P (kPa = 1000 pascals), and altitude h (in meters) are related by these formulas (valid in the troposphere h < 11,000): T = 15.04 – 0.000649h, P = 101.29 + T + 273.1\ 5.256 288.08 Use the Chain Rule to calculate d P/dh. Then estimate the change in P (in pascals, Pa) per additional meter of altitude when h = 3000.
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