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An object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. Which cosine function may be used to model the height of the object?

A


y=4cos2π3t


B


y=2cos3πt


C


y=2cos2π3t


D


y=2cosπ3t

1 Answer

4 votes

Answer:

C y=2cos(2π/3t)

Explanation:

The amplitude of the function will be half the difference between the minimum and maximum: 4/2 = 2.

The multiplier of t in the function will be 2π/period = 2π/3.

_____

Comment on the answer choices

The answer choices need to be "interpreted" in order to choose one. As written, none is correct.

answered
User Oleg Cherr
by
8.3k points
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