[填空题]
Farmer Jimmy bought 50 goats and brought them to hish6 )mehfu /o) hw gp5.xpgh+n.0ltw6j farm. He gr4o c14p si(rdetermined that 10 of these new goats have a viral disease. The total number of goats on Jimmy's spco41i r4(grfarm is now 600.
The spread of the viral disease on Jimmy's farm is modelled by the logistic function
S(d)=$\frac{M}{1+Ce^{-kd}}$,where S(d) is the number of infected goats after d epidemic days.
1.(1)Write down the value of M. M =
(2)Find the value of C. C =
2.Given that quarter of the goats are infected after 12 days, find the value of k, giving your answer correct to 4 significant figures. k ≈
3.Find the number of days it takes for 90% of the goats to get infected. d ≈ days
4.Draw the graph of y=S(d) on the axes below, indicating clearly the point of inflexion and any asymptotes.
