[填空题]
Farmer Jimmy bought 50 goats and brxn8w8 g *p.ngnmx;nb9i7agp j.42wg fought them to his farmbo pc1 jhg/y( a.m4g8f. He determined that 10 of these new goats have a ohy/a8g.fm(4bj g1pc viral disease. The total number of goats on Jimmy's farm 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.
