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IB MAI HL Functions Topic 2.3 Properties of Functions (id: 25762f360)

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admin 发表于 2024-2-12 09:37:22 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Functions Topic 2.3 Properties of Functions,类别为 IB数学

[问答题]
A conical funnel is usedqj(hj s +gbeycp5z+, 1 to 4,0 7j tipw-2abdvjgyadd water to a scientific experiment. The funnel initially contains 3 L of water, and the water flows out of the funnel at a rate of 40 mL per minute.wipb2gtjj v - 0d4y7,a


1.Determine a function for the volume V (in millilitres) of water remaining in the funnel after t minutes.
2.If there is V mL of water in the funnel, show that the height of the water can be expressed as
h(V)=$3^3\sqrt{\frac{V}{π}}$​​ cm.
3.Find the composite function $h∘V$, and interpret what it means in the context of this question.
4.Find $(h∘V)(15)$ and explain what it means in the context of this question.




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