A certain rumor spreads througha community at the rate dy/dt= 2y(1-y) where
y is the proportion of the populationthat has heard the rumor at time t.
a) What proportion of the population has heard the rumor when it isspreading the fastest?
b) if at time t=0, 10% of the people have heard the rumor, find yas a function of t.
c) At what time t is the rumor spreading thefastest?
