During a surge in the demand for electricity, the rate, r, at which energy is used can

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During a surge in the demand for electricity, the rate, r, at which energy is used can be approximated by

r = te^−at,

where t is the time in hours and a is a positive constant.
(a) Find the total energy, E, used in the first T hours. Give your answer as a function of a.
(b) What happens to E as T → ∞?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 12, 2023 03:44 AM

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During a surge in the demand for electricity, the rate, r, at which energy is used can

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a We know that dEdt r so the total energy E used in the first T h...View the full answer

Applied Calculus

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