IB MAI HL Functions Topic 2.2 Applications of Functions (id: d458ee0a0)

本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions，类别为 IB数学

[填空题]
Farmer Jimmy bought 50 goats and brought them to his f.b5h8g(4gmar+;2w sm+zc m f *w re3rttlo g6sarm. He d-vm0u e.tkv4,tq8nau x-di5aetermined that 10 of theseuma k dv -t a4q0xn5,uvi.et-8 new goats have a 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)​=$\frac{M}{1+C{e}^{-kd}}$​,​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.

参考答案:
空格1: 600  空格2: 59  空格3: 0.2482  空格4: 25.3±2% 


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