A model for the spread of a rumor is given by the equation where p(t) is the
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A model for the spread of a rumor is given by the equation
where p(t) is the proportion of the population that knows the rumor at time t and a and k are positive constants.
(a) When will half the population have heard the rumor?
(b) When is the rate of spread of the rumor greatest?
(c) Sketch the graph of p.
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