IB MAI HL Functions Topic 2.2 Applications of Functions (id: a37d6fca0)

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 mean depth, D, in m)2e r1f;).kvwlrv dm uetres, ore d;lyu7vqr :xn/3m6f a mountain lake fluctuates in a yearly cycle and can be modelled by the f ;ry 3n/meuxl67vdqr :unction
D(t)=acos(kt)+b,where t is the elapsed time, in months, since the beginning of an autumn season.
The mean depth of the lake on month 1 is 33.2 m and on month 5 is 22.8 m.
1.Find the value of k, in degrees. k =    ${}^{\circ }$
2.Set up a pair of equations and find the value of a and the value of b. Give your answers correct to the nearest integer. a ≈    b ≈   
3.Hence find the mean depth of the lake on month 8. D =   
4.Draw the graph of y=D(t) on the grid below, for one full year, indicating clearly the minimum and maximum points.

参考答案:
空格1: 30±2%  空格2: 6  空格3: 28  空格4: 25±2% 


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