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.
Transcribed Image Text:
p(t) 1 + ae-kt
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