ne capacity of commercial large aircraft to generate revenue is measured in ton-miles. The capacity taken up by paying assengers on U.S. carriers can be modeled as g(x) = 16.2(1.0092.18× + 3.41) trillion ton-miles %3D when a total of x trillion passenger ton-miles are flown, data from 20 x< 85.+ (a) Write a model for the rate of change of the capacity taken up by paying passengers. (Round all numerical values to three decimal places.) g'(x) = (b) What are the capacity, the rate of change of capacity, and the percentage rate of change of capacity when 77 trillion passenger ton-miles are flown? (Round your answers to three decimal places.) capacity trillion ton-miles rate of change trillion ton-miles per trillion ton miles percent rate of change % per trillion ton-miles

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Differential Equations

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