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IB MAI HL Calculus Topic 5.1 Differentiation (id: a207c35d8)

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admin 发表于 2024-3-13 23:16:09 | 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 table below show1 mx ma5ddqzjnxnd5-)z*u +4c s the a. y(qvx:bxlx4.b2 s smverage number of words of a child's vocabulary as age increases on a monthly basilxvy.x qm: .x(s2sb4bs. The first row shows the child's age in months (t), and the second row shows the average number of words, W, in hundreds.

1. Generate a scatter diagram for this data on the axes below and describe the trend.


2. Linearise the data and determine an appropriate linear model for the number of words, W , in terms of the months, t .
W=  log(t) -   .
3. Using your model, predict the approximate number of words in the vocabulary of a child who has just turned 6 years old.

The rate of change for the number of words a child learns per month can be estimated by $W^{\prime}(t)$.

4. Estimate the month at which the child learns 100 words per month.
t≈   month




参考答案:
空格1: 103空格2: 135空格3: 44


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