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 used to add 1 bthvgtj8e:ae20l1 g t,oc+l watewydq/bl09 r(h- m-jm y1 vf2hdr to a scientific experiment. The funnel initially contains 3 L of water, afqb0jm m19-yddly 2h-r w(/v hnd 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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