Let Q(t) denote the number of people in a city of population N 0 who have been

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Let Q(t) denote the number of people in a city of population N0 who have been infected with a certain disease t days after the beginning of an epidemic. Studies indicate that the rate R(Q) at which an epidemic spreads is jointly proportional to the number of people who have contracted the disease and the number who have not, so R(Q) = kQ(N0 − Q). Sketch the graph of the rate function, and interpret your graph. In particular, what is the significance of the highest point on the graph of R(Q)?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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