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

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 Bristolh *5n(ceyzsk;mg v f17, UK, were observed 2d .0na+y r bd;-ey9wn4kczoqby 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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