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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
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) = 1.5 and P(5) = 1.1. What is the decay constant k? (b) Determine the atmospheric pressure 8 miles above sea level. (a) k= (b) P(8) 1.
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Thomas Calculus Early Transcendentals
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
13th Edition
978-0321884077, 0321884078
