An exponential model for the density of the earths atmospheresays that if the

Chapter 8, Problem 22

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An exponential model for the density of the earths atmospheresays that if the temperature of the atmospherewere constant, then the density of the atmosphere as afunction of height, h (in meters), above the surface of theearth would be given by(h)=1.28e0.000124h kg/m3.(a) Write (but do not evaluate) a sum that approximatesthe mass of the portion of the atmosphere from h =0 to h = 100 m (i.e., the first 100 meters above sealevel). Assume the radius of the earth is 6400 km.(b) Find the exact answer by turning your sum in part (a)into an integral. Evaluate the integral.

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