The function f(t)= 7 cos((pi/4)t)+12 represents the tide in light sea. it has a maximum of 19 feet when time (t) is 0 and a minimum of 5 feet. the sea repeats this cycle every 8 hours. after 2 hours, how high is the tide?

The tide is 12 feet height at t=2.

Step-by-step explanation:

Given:

It is cosine function which represents the tide of light sea.

It has maximum of 19 feet at t=0

It has minimum of 5 feet at t=4

The sea repeats cycle every 8 hours. (Period = 8)

We need to find height of tide after 2 hours.

We will put t=2 into equation and solve for f(t)

Please see the attachment for graphical result.

Hence, The tide is 12 feet height at t=2.

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step-by-step explanation:

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