A model for the spread of a rumor is given by the equation pstd 1 1 1 ae2kt where pstd

Chapter 4, Problem 57

(choose chapter or problem)

A model for the spread of a rumor is given by the equation pstd 1 1 1 ae2kt where pstd 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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