a virus is spreading on a small deserted island. The total number of people infected by...

a virus is spreading on a small deserted island. The total number of people infected by the virus t days after the outbreak is given by the model p(t)=5200/(1+20^(-t+15)).

the different parts can be solved independently.

a. How many people will be infected in the long run? (hint: compute the limit of p as t goes too infinity.)

b. The island only has a small hospital with a capacity of 250 patients. When will the total number of infections reach 250?

c. After how many days does the rate of new infections reach a maximum? Justify your answer carefully using calculus. Approximately how many people will be newly infected on that day?

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milcah answered 1 year ago

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