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IB MAI HL Calculus Topic 5.1 Differentiation (id: 229564f34)

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admin 发表于 2024-3-5 20:50:37 | 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]
The equation of a curvejti.3 bew20d4l ,dy lo is y92*i7w vca /oe5 hfosc :tab8fml3 -up=-x$^2$ +8x -12.A section of the curve is shown on the diagram below, with the two x-intercepts labelled.

1.Find $\frac{dy}{dx}$.
$\frac{dy}{dx}$=-ax+b ; a=  , b=  .
2.Write down the coordinates of the local maximum.
the local maximum is located at (x, y) ; x=   , y=  .
3.Write down an integral representing the area of the shaded region.
its area is determined by A=$\int_{2}^{6}(-x^2+ax-b)dx$, a=  , b=  .
4.Find the area of the shaded region.
A=$\frac{a}{b}$, a=   , b=   .




参考答案:
空格1: 2空格2: 8空格3: 4空格4: 4空格5: 8空格6: 12空格7: 32空格8: 3


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