A rumor spreads through a town according to

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A rumor spreads through a town according to dRdt=0.3R(1000−R)\frac{dR}{dt}=0.3R(1000-R), where R(t)R(t) is the number of residents who have heard the rumor tt hours after it begins. Determine the maximum number of people who can ever hear the rumor according to this model.

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