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IB MAI HL Functions Topic 2.2 Applications of Functions (id: 23267fc99)

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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 temperature, T, in dxawhfax+ qvsdx ,.fb *yn3 ,06egrees Celsius, in Istanbul duri ,9xh qzu3c0vtti- c8lng a particular winter day is modelled by the equat,3q 08 hcl-zcit xvu9tion
T​=asin(b(t−c))+d,0≤t≤24,​where a,b,c,d∈R and t is the elapsed time, in hours, since midnight.
The graph of T versus t is shown below.

The lowest temperature was recorded at 33:3030 am and the highest temperaturetemperature was recorded at 33:3030 pm.
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.
The temperature, T, in degrees Celsius, in Istanbul during a particular summer day is modelled by the equation
T​=5sin(0.262(t−8))+25,0≤t≤24,
​where t is the elapsed time, in hours, since midnight. c =  
4.Find the time, in hours and minutes, when the temperature:
(1)reaches its maximum; ≈    pm
(2)first drops below $244^{\circ}C$. ≈    pm
5.The temperature is below $24^{\circ}C$ for h hours and m minutes. Find
the value of h and the value of m. h =    m =  




参考答案:
空格1: 4空格2: 6空格3: 0.262空格4: 9.5空格5: 2:00±2%空格6: 8:46±2%空格7: 10±2%空格8: 28±2%


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