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IB MAI HL Calculus Topic 5.1 Differentiation (id: 62df359b8)

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admin 发表于 2024-2-23 00:18:05 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.1 Differentiation,类别为 IB数学

[填空题]
A trough, containing water, of h ll4qif uh 55,c 1d*uhfq6i8wlen4:; c*cmgs btkgth 8 m has a uniform cross-section in the shape of ms; bkc: ct4*ga trapezoid, with side lengths shown below.



When the water is h \mathrm{~m} deep, the volume of water in the trough is given by

$V(h)=16 h+\frac{8 h^{2}}{\sqrt{3}}$


Water leaks from the bottom of the trough at a constant rate of $3.1 \mathrm{~m}^{3}$ per minute. Find the rate at which the height of the water level h is falling at the instant when the water has $50 \mathrm{~cm}$ of depth.

the height of the water level is falling at a rate of    cm/min





参考答案: 15±3%


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