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How many students had influenza initially

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Reference no: EM131563634

Question: SPREAD OF AN EPIDEMIC During a flu epidemic, the total number of students on a state university campus who had contracted influenza by the xth day was given by

N(x) = 3000/(1 + 99e-x)         (x ≥ 0)

a. How many students had influenza initially?

b. Derive an expression for the rate at which the disease was being spread and prove that the function N is increasing on the interval (0, ∞).

c. Sketch the graph of N. What was the total number of students who contracted influenza during that particular epidemic?

Reference no: EM131563634

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