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IB MAI HL Calculus Topic 5.1 Differentiation (id: a86656c67)

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admin 发表于 2024-2-18 20:58:20 | 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 ladder that is 6 m long rests against a wall with its feet6b*btnh1 hz t7xu s -sb-q wx1-l3gxo/e1f lng+l(kd; on horizontal ground x m fr kb3gws;d(xs1 nl g-xq+ u /l-l-xo1feom the wall, as illustrated.


1.Show that the height the ladder reaches up the wall, y, can be expressed by the equation,
$y=\sqrt{36-x^{2}}$
where x is the horizontal distance in metres from the wall to the ladder.

The bottom of the ladder is then pulled away from the wall at a constant speed of 3 m s$^{-1}$.

2.Calculate the speed the top of the ladder is moving down the wall at the instant when the bottom of the ladder is 4m away from the wall.
$\frac{dy}{dx}$≈-  .




参考答案: 2.68±0.02


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