Question: The rate, r, at which people get sick during an epidemic of the flu can be approximated by r = 1000te 0.5t , where r

The rate, r, at which people get sick during an epidemic of the flu can be approximated by

r = 1000te^−0.5t,

where r is measured in people/day and t is measured in days since the start of the epidemic.
(a) Write an improper integral representing the total number of people that get sick.
(b) Use a graph of r to represent the improper integral from part (a) as an area.

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