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Properties of Functions (id: 6527563ce)

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admin 发表于 2024-6-8 23:14:50 | 显示全部楼层 |阅读模式
本题目来源于试卷: Properties of Functions,类别为 IB数学

[问答题]
The circumference, C , of a givennu 87 +0nluy 2gcrpyjc( e6m2a6b/l hh circuo 0;+p:oeg2i nhfae1le can be represented by the function

$C(A)=2 \pi \sqrt{\frac{A}{\pi}}, \quad A \geq 0$

where A is the area of the circle.
The graph of the function C , for $0 \leq A \leq 24 $, is shown below.

1. Find the value of C(24) .
2. On the grid above, draw the graph of the inverse function, $C^{-1}$ .
3. In the context of the question, explain the meaning of $C^{-1}(2 \pi)=\pi$ .




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