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he UCF vs. Memphis AAC conference championship game on Dec 2,2017 , was an event to remember. In double overtime the UCF Knights defeated Memphis

he UCF vs. Memphis AAC conference championship game on Dec 2,2017 , was an event to remember. In double overtime the UCF Knights defeated Memphis 62-55. The total number of fans entering Bright House Networks Stadium is a differentiable function K(t). The number of fans entering the stadium, between each half hour increment, at Gate 18 on the UCF Knights home side are shown for the time interval 0?t?2, where t=0 corresponds to 11:00 am prior to the noon time game kickoff. UCF Knights side (Gate 18): The number of fans that entered the stadium, between each half hour increment, on the visitor side Gate 14 during the same time interval is shown below. This rate is also a differentiable function M(t), and the times correspond to the 11:00 am entry. Memphis Tigers side (Gate 14): A. Approximate K?(0.75). Show the computation that leads to your answer. Explain the meaning of your answer in context to the problem, use correct units of measure. (4 points) B. Approximate M?(1.25). Show the computation that leads to your answer. Explain the meaning of your answer in context to the problem, use correct units of measure. (3 points) C. The recorded number of fans entering the stadium through Gate 18 at 1:00pm was lost. The ticket office assumed that the average rate of fans entering through Gate 18 between 11:00 am and 1:00 pm is the same as the average rate of fans entering through Gate 14 between 12:00pm and 1:00pm. Find the approxiulate number of fans that entered the stadium thraugh Gate 18 at 1.00pm. Show the computation that leads to your answer. (2 points)

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