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On a particular day, the power used in a particular state ( in thousands of megawatts ) could be approximated by the function P (

On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t)=-0.006617t^3+0.1964t^2-1.081t +18.01 where t is the number of hours since midnight, for 0 lessthanorequalto t lessthanorequalto 24. Find any relative extrema for power usage, as well when they occurred. Find thee derivative of P(t) P'(t)=-0.019851t^2+0.3928t -1.081 Find any relative extrema for power usage, as well as when they occurred. Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. The function has a relative maximum of at t = and a relative minimum of at t = B. There are no relative minima. The function has a relative maximum of at t =(Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) C. There are no relative maxima. The function has a relative minimum of at t = D. There are no relative extrema.

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