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IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions (id: 395e09e

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admin 发表于 2024-2-16 23:58:52 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions,类别为 IB数学

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The revenues of a four seasons m36/ueigkq6/2r u+qg jqdc 1hhote5ac*u9 a nuf eo75y+ael can be modelled by the function
R(t)=58.2sin(0.0172t−1.25)+204,
where t is the number of days after midnight on 31 December.
In a similar way, the operating costs of the hotel can be modelled by the function
C(t)=31.4sin(0.0172t+1.14)+85.0.
Both R(t) and C(t) are measured in thousand dollars.
1.Show that the profits of the hotel can be modelled by the function P(t)=83.9sin(0.0172t−1.51)+119.
2.According to the model, find:
(1)the highest profit the hotel will make; ≈    thounds
(2)the date on which the highest profit will occur.




参考答案: 203


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