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A person riding a ferris wheel takes 10 minutes to make one complete trip around thewheel. A function in the form y = A cos (Bt) + C can be used to model thissituation. Based on the information given, determine the values of B.

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ANSWER


(\pi)/(300)

Step-by-step explanation

The function given is a cosine function:


A\cos (Bt)+C

From the function, B can be found as:


B=(2\pi)/(P)

where P represents the period of the function.

The period is given as 10 minutes (600 seconds), which means that we can find B:


\begin{gathered} B=(2\pi)/(600) \\ B=(\pi)/(300) \end{gathered}

That is the value of B.

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