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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 u p;vpe,,r0(r aokyo) ised to add water to a 7 c8w6unwdh+,l1o lffd* ,sw1h 8top iscientific experiment. The funnel initially contains 3 L of water lwf+slo16p1 c nw* uhtw,fo dd,8h8i7, and the water flows out of the funnel at a rate of 40 mL per minute.


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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