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IB MAI HL Functions Topic 2.2 Applications of Functions (id: a95d67cec)

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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 water depth, D, in met0b xlsoh, +:aares, in a ruus7- .n, itebp)(q jboating marina on a particular day can be modelled by the uui -,j7rbe t.)p n(qsfunction
D(t)​=4sin($30^{\circ}$$\times$t)+12.5,0≤t≤24,​where t is the elapsed time, in hours, since midnight.
1.Write down the depth of water at midnight.  
2.The cycle of water depths repeats every T hours. Find the value of T. T =  
3.(1)Write down the minimum and maximum depths of water during the day. $D_{min}$ =    $D_{max}$ =  
(2)Find the times at which the minimum and maximum depths of water occur during the day.
4.Draw the graph of D versus t on the grid below.

5.A ship with 8 m draught is allowed to enter the marina if the depth of water is greater than 1010 m. Find the time interval before midday, in hours and minutes, during which the ship is not allowed to enter the marina.




参考答案:
空格1: 12.5±2%空格2: 12±2%空格3: 8.5±2%空格4: 16.5±2%


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