Mathematics, 18.11.2019 19:31, sidneydominguez2323
Under certain circumstances, a rumor spreads according to the equation p(t)=1/1+ae−kt where p(t) is the proportion of the population that knows the rumor at time t, and a and k are positive constants. (a) find limt→[infinity]p(t). (b) find the rate of speed of the rumor. (c) how long will it take for 80% of the population to hear the rumor? here, take a=10,k=0.5 with t measured in hours.
Answers: 1
is the proportion of the population that knows the rumor at time 
, and 
and 
are positive constants.
you must:![\lim _{x\to a}\left[\frac{f\left(x\right)}{g\left(x\right)}\right]=\frac{\lim _{x\to a}f\left(x\right)}{\lim _{x\to a}g\left(x\right)},\:\quad \lim _{x\to a}g\left(x\right)\ne 0](/tpl/images/0379/7705/2bc8b.png)
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Under certain circumstances, a rumor spreads according to the equation p(t)=1/1+ae−kt where p(t) is...
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