Under certain circumstances a rumor spreads according to

Chapter 3, Problem 3.294

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Under certain circumstances a rumor spreads according to the equation where is the proportion of the population that knows the rumor at time and and are positive constants. [In Section 9.4 we will see that this is a reasonable equation for .] (a) Find . (b) Find the rate of spread of the rumor. ; (c) Graph for the case , with measured in hours. Use the graph to estimate how long it will take for 80% of the population to hear the rumor

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