(Step-by-Step) Suppose the total number of people, N, who have contracted a disease by a time t days after its outbreak is given by N=(1000000)/(1+5000 e^-0.1
Question: Suppose the total number of people, \(N\), who have contracted a disease by a time \(t\) days after its outbreak is given by
\[N=\frac{1000000}{1+5000 e^{-0.1 t}}\]- How fast is the infected population growing on day 3?
- On which day is the infected population increasing most rapidly?
- Is there any day on which more than a million people fall sick? Half a million? Quarter of a million? (Note: You do not have to try to find out on what days these events happen.)
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