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?