Power and energy The total energy in megawatt-hr (MWh)

Chapter 3, Problem 91

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Power and energy The total energy in megawatt-hr (MWh) used by a town is given by E1t2 = 400t + 2400 p sin pt 12 , where t 0 is measured in hours, with t = 0 corresponding to noon. a. Find the power, or rate of energy consumption, P1t2 = E_1t2 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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