Throughout the day, the depth of water at the end of a dock varies with the tides. The function h(t)=5cos(0.5t-2)+7 represents the height, in feet, of the water t hours after midnight. Which graph shows the height of the water at the dock at any time after midnight?

Question

25-05-2018
Mathematics

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Throughout the day, the depth of water at the end of a dock varies with the tides. The function h(t)=5cos(0.5t-2)+7 represents the height, in feet, of the water t hours after midnight. Which graph shows the height of the water at the dock at any time after midnight?

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cerverusdante cerverusdante · Answer 1 · 2018-06-06T01:11:29+02:00

Remember that for a graphic of a trigonometric functions of the form [tex]f(x)=Acos(Bx+C)+D[/tex]
[tex]A[/tex] is the amplitude of the function
[tex]f(x)=D[/tex] is the midline of the trigonometric function

We know form our problem that [tex]A=5[/tex], so the amplitude of our function is 5. We also know that the [tex]D=7[/tex]. So the midline of our function is the line [tex]h(t)=7[/tex].

Using those two features we can conclude that the graph that shows the height of the water at the dock at any time after midnight is:

cristianmunguia2016 cristianmunguia2016 · Answer 2 · 2021-03-18T17:50:19+01:00

cristianmunguia2016 cristianmunguia2016

18-03-2021

Answer:

B)

Step-by-step explanation:

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