Epidemiologists have found a new communicable disease running rampant in College Station, Texas. They estimate that t

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Epidemiologists have found a new communicable disease running rampant in College Station, Texas. They estimate that t days after the disease is first observed in the community, the percent of the population infected by the disease is approximated by 

for 0 ≤ t ≤ 20.

(a) After how many days is the percent of the population infected a maximum?
(b) What is the maximum percent of the population infected?

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