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IB MAI HL Functions Topic 2.2 Applications of Functions (id: cccd34d95)

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admin 发表于 2024-2-7 23:49:42 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions,类别为 IB数学

[填空题]
The tides at the Port of Briwtn*qu /b35 psf 8d2pr rah)2jstol, UK, were obs cb1hz09:c t8euoewzi3-r r-ierved by a student.
On a particular day, the range between the lowest and highest tides is 10.6 m and the time difference between high tides is 12.2 hours. The first highest tide occurs at 8:12 am and is 12.5 m high.
The height, H, in metres, of the tides can be modelled by the equation
H​=asin(b(t−c))+d,0≤t≤24,​where t is the elapsed time, in hours, since midnight.
1.Write down the value of:
(1)a;  
(2)d.  
2.Find the value of b. ≈  
3.Find the smallest possible value of c, given c>0. c ≈  
4.Hence draw the graph of H versus t, for 0≤t≤24.




参考答案:
空格1: 5.3空格2: 7.2空格3: 0.515空格4: 5.15


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