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IB MAI HL Calculus Topic 5.1 Differentiation (id: 15e31b3be)

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admin 发表于 2024-2-20 19:27:33 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.1 Differentiation,类别为 IB数学

[填空题]
The number of fish in a ljfil0f63 c ;q0o udhy,ake after t weeks is mode+00cegfh+g -tjd 1da illed by
$F(t)=\frac{4500}{1+4 e^{-0.5 t}}, t \geq 0$
1.Find the initial fish population,The number is   .

2.Find the percentage increase of the population after 1 week, the population increase is   .

3.Find the limit of the population size.that the population size stabilizes at    fish, this size is known as the carrying capacity.

4.Find F′(t), and determine if the population is increasing or decreasing over time.

5.Find the rate at which the population is increasing after 8 weeks.F'(8)≈  .

6.Sketch the graph of F(t).




参考答案:
空格1: 900空格2: 45.9±1空格3: 4500空格4: 143.104±0.1


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