Under certain circumstances a rumor spreads according to the equation pstd 1 1 1 ae 2k t

Chapter 3, Problem 61

(choose chapter or problem)

Under certain circumstances a rumor spreads according to the equation pstd 1 1 1 ae 2k t where pstd is the proportion of the population that has heard the rumor at time t and a and k are positive constants. (a) Find limtl` pstd. (b) Find the rate of spread of the rumor. ; (c) Graph p for the case a 10, k 0.5 with t measured in hours. Use the graph to estimate how long it will take for 80% of the population to hear the rumo

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