The total energy in megawatt-hr (MWh) used by a town is given by where t 0

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The total energy in megawatt-hr (MWh) used by a town is given by

mt sin 12' 2400 E(t) = 400t + TT

where t ≥ 0 is measured in hours, with t = 0 corresponding to noon.

a. Find the power, or rate of energy consumption, P(t) = E'(t) in units of megawatts (MW).

b. At what time of day is the rate of energy consumption a maximum? What is the power at that time of day?

c. At what time of day is the rate of energy consumption a minimum? What is the power at that time of day?

d. Sketch a graph of the power function reflecting the times at which energy use is a minimum or maximum.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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