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amiahmiller79
amiahmiller79
14.05.2021 • 
Mathematics

A town has noticed that the level of water in the nearby lake is periodic. The fluctuation of the depth of the lake repeats on a yearly basis. The depth of the lake in feet, h, as a function of the day of the year, d, can be modeled by the equation shown, where January 1st is d=0, the start of the cycle. h(d)=2cos(2π365d)+12

Determine whether each statement is a correct interpretation of the equation representing the depth of the lake. Select Yes or No for each statement.
Statement

Yes No
At its deepest the depth of the lake is 12 feet.

At its shallowest the depth of the lake is 10 feet.

On January 1st the lake is at its deepest point.

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