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IB MAI HL Functions Topic 2.2 Applications of Functions (id: 07007ba87)

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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]
Alexandros monitors the tempe h ni+1:4,(gptfngxb krature d i/ ;j8 voks8(yt/fmuyuring a particular day in Athens.
The table below shows some of his findings.

Based on his observations, Alexandros concludes that the temperature, T, in $^{\circ}C$, during the day can be modelled by the equation
$T​=asin(b(t−c))+d$,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. b ≈   
3.Find the smallest possible value of c, given c>0. c =   
4.Find the time, in hours and minutes, when the temperature first reaches $35^{\circ}C$ during the day.




参考答案:
空格1: 6.9空格2: 32.3空格3: 0.262空格4: 10.2


本题详细解析:






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