As a result of the tide, the depthof the water in the bay varies with time. Acco
ID: 3095818 • Letter: A
Question
As a result of the tide, the depthof the water in the bay varies with time. According to theharbormaster, the depth can be modeled by the function
d ( t ) =2.5 cos (p/6) ( t -2) + 4,where t is the number of hours since midnight, and d is the depthin meters
http://i40.tinypic.com/1zmz6zt.jpg(Picture of graph if necessary.)
I figured the amplitude is2.5
The period is 12
The phase shift is 2 units to theright, and the vertical shift is 4 units up.
Just wanted to make sure I'm rightso far. The question is:
What is the maximum and minimumdepth and when do each occur?
Explanation / Answer
take your information, and picture it as a graph. or just graph thefunction. or use the website you have to observe the graph to seewhat the min and max x values are. they appear to be 1.5, and 6.5.check by finding your zeros or use the method taught that yourteacher prefers you use. im sure it involves entering values to seewhere the value rises versus drops.
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