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1991BC6

# 1991BC6 - we we — BC.9 6 A certain rumor spreads through...

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Unformatted text preview: we we) —- BC. (.9 6. A certain rumor spreads through a community at the rate 3) = 2y(i — y), where y is the proportion of the population that has heard the rumor at time t. (a) What proportion of the popufation has heard the rumor when it is spreading the fastest? (b) If at time t = 0 ten percent of the people have heard the rumor, ﬁnd y as a function of t. (c) At what time I is the rumor spreading the fastest? 0*) d (“[530 ‘15 d (cage); "79““ ..__.__+._.. , ﬂ . 0 zap-45., O<Lé<i .L. I ~ A a? is am eds-sol. Marc. poke/u. L3 = if 03%"- Sci-I53 has -~.3vs.(l—c3)=.’2't+-C. =3" A‘E’g‘ = Qt-l-Q. at c.- e , ﬁze + =e‘.e°‘=>7“:‘i'r= % =30” _'i__ eat 85V ComPonenc'dO' . =E¢W= m .1- C) 33' is abSOI. max. when \j=.x=;‘> f? = 24—- at e =‘i=>.2t =maaams¢taﬁw3 when 1—: gas +5.3 may .‘5 Sven. ' ; we ~F3as+est 1991 BC6 ...
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