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IB MAI HL Calculus Topic 5.1 Differentiation (id: 2cb4c57c5)

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admin 发表于 2024-3-5 20:50:37 | 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 bacteria in: u)p*mwes)r99ynh s.cfzp8 l a cultuj *sb rjqg5m,(re is given by the function n(t)=310e$^{kt}$ , where t is the time in minutes after the start of the culture and k is a constant. It is known that the number of bacteria doubles every 10 minutes.

1.Find the exact value of k.
k=$\frac{lna}{b}$, a=  , b=  .
2.Find the rate of change of the number of bacteria, n ′(t), when t=11. Round your answer to the nearest integer.
Therefore, at the instant when t=11, the number of bacteria in the culture is increasing at a rate of    bacteria per minute





参考答案:
空格1: 2空格2: 10空格3: 16


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