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IB MAI HL Functions Topic 2.2 Applications of Functions (id: a93adca48)

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admin 发表于 2024-2-7 23:49:42 | 显示全部楼层 |阅读模式
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]
­A population of 40 rabbits are broughtnj wnhu ;lj2/z r9l6t8 to an island at the eno(hm j: *anu( qw.e6sqd of December, 2018on(qq(sh : *awum. je6.
The population, P, of rabbits on the island can be modelled by the logistic function
P(t)​$\frac{M}{1+Ce^{-0.3t}}$=​,​wheret is the number of months that have passed since New Year Eve 2019.
After 12 months, the population of rabbits on the island is increased to 1423.
1.Find the value of M and the value of C. M ≈   
2.Write down the largest population of rabbits that the island will ever be able to accommodate.   
3.Hence calculate the number of months it takes for the population of rabbits to reach half of its largest population. t =    months




参考答案:
空格1: 49500±2%空格2: 49500±2%空格3: 23.7±2%


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