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

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 gco*uqbgab.*d5 (ln2l)v;vp used to add water to9tnkt;5ckbk e;:4 zbf4 b c9 ,rtz9cb;i-iesb a scientific experiment. The funnel initially contains 3 L of wate9fb5zzeib,cs: 9k;-cikbt4tc br ;9tb e 4nk;r, 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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