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The water depth in a harbor rises and falls over time. The function f(t) = 4.1 sine (StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction) + 19.7 models the water depth, in feet, after t hours.

During the first 24 hours, at what times does the water depth reach a maximum?

at 5 and 17 hours
at 11 and 23 hours
at 2, 8, 14, and 20 hours
at 5, 11, 17, and 23 hours

The water depth in a harbor rises and falls over time The function ft 41 sine StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction 19 class=

Respuesta :

Answer:

A

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

If we plot the function[tex]4.1\sin \left(\dfrac{\pi \:t}{6}-\dfrac{\pi }{3}\right)+19.7[/tex] on the graph, then the maximum of the function will be 23.8.

Now, if we find the maximum of the function then it will lie at t=5 and 17 for the first 24 hours.

Hence, the correct option is A.

Learn more about Function:

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