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Please show your work. Thank you On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by

Please show your work. Thank you

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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(t) = - 0.006338ts + 0.1995t- - 1.071t + 18.82 where t is the number of hours since midnight, for 0 s ts 24. Find any relative extrema for power usage, as well as when they occurred. Find the derivative of P(t). P'(t) = - .019014tz +.399t - 1.071 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. O A. There are no relative maxima. The relative minimum/minima is/are at the t-value(s) t= Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) O B. The relative maximum/maxima is/are at the t-value(s) t= |and the relative minimum/minima is/are |at the t-value(s) 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 minima. The relative maximum/maxima is/are |at the t-value(s) t=. Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) O D. There are no relative extrema

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