The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level on Earth satisfies a differential equation P' = -kP for some positive constant k. (a) Measurements with a barometer show that P(0) = 1.2 and P(9) = 1.1. What is the decay constant k? (b) Determine the atmospheric pressure 18 miles above sea level. (a) k = (b) P(18) =
The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level on Earth satisfies a differential equation P' = -kP for some positive constant k. (a) Measurements with a barometer show that P(0) = 1.2 and P(9) = 1.1. What is the decay constant k? (b) Determine the atmospheric pressure 18 miles above sea level. (a) k = (b) P(18) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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