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Total Accumulation from a Rate Function

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The rate at which a power plant generates electricity is modeled by the function r(t)=22+10sin(πt48)r(t) = 22 + 10\sin\bigl(\tfrac{\pi t}{48}\bigr), where r(t)r(t) is measured in megawatts per hour and tt is the number of hours after operation begins. To the nearest megawatt-hour, what is the total amount of electricity generated from time t=0t = 0 to t=72t = 72 hours?

A

15841584

B

16921692

C

17371737

D

18001800

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