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2. The number of minutes of daylight during a day, L(t) , at 40 North latitude is modeled by the function 2 TC L(t) =

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2. The number of minutes of daylight during a day, L(t) , at 40 North latitude is modeled by the function 2 TC L(t) = 167.5sin 365 (t-80.75) + 731 where t is the number of days after the beginning of the year 2019. (Note: For January 1, 2019, t = 1; and for December 31, 2019, t = 365.) Which of the following is the correct interpretation of L'(364) ? (A) The number of minutes of daylight is increasing by 1.760 minutes per day on December 30, 2019. (B) The rate at which the number of minutes of daylight is increasing by 0.469 minutes per day per day on December 30, 2019. (C) The number of minutes of daylight is increasing by 0.469 minutes per day on December 30, 2019. (D) The number of minutes of daylight is decreasing by 0.469 minutes per day on December 30, 2019

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