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Differential Calculus (id: 238a789cc)

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admin 发表于 2024-7-30 22:08:05 | 显示全部楼层 |阅读模式
本题目来源于试卷: Differential Calculus,类别为 IB数学

[问答题]
Farmer Thomas wants r9yl5dlvr y9 t,ej m;i/ w+c2ntw:d/o3;g7.hi d bks3t8 yx*l1 mavzhpo build a sheep farming field in the shape of a rectangle with semicircles of radius r on two sides, as shown on the diagram. Helg7dxt *sim ./p;dh1 3ko:zy vhab38 w has decided to use in total 350 metres of wooden fencing.


1. 1. Find an expression for the area of the farming field in terms of r .
2. Find the width of the farming field when the area is a maximum.
2. Show that in this case the length of the rectangle is equal to zero and the farming field is the circle of radius 175 $\pi^{-1}$ metres.




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