In a city of 7.00 thousand, there are initially 0.13 thousand flu cases. In the absence of limiting factors, the cumulative number flu cases is expected to grow by 21% per week.  
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A: Make a logistic model of the cumulative number  F, in thousands, of flu cases after t weeks.
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B:  Plot the graph of the model you found in part A over the first 35 weeks.
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C:  At what cumulative number of flu cases will the disease be spreading at the fastest rate? Round your answer to two decimal places, if necessary.
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D:  When will the cumulative number of flu cases reach the level you found in part C?  Round your answer to the nearest whole number.
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What will be an ideal response?


A:

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B:?

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C: 3.50 thousand

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D: After 21 weeks


Mathematics

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