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Mathematics, 12.03.2020 05:36 briceevans32

A series of locks manages the water height along a water source used to produce energy. As the locks are opened and closed, the water height between two consecutive locks fluctuates. The height of the water at point B located between two locks is observed. Water height measurements are made every 10 minutes beginning at 8:00 a. m.

It is determined that the height of the water at B can be modeled by the function f(x)=−11cos(πx/48−5π/12)+28 , where the height of water is measured in feet and x is measured in minutes.

What is the maximum and minimum water height at B, and when do these heights first occur? Drag a value or phrase into each box to correctly complete the statements.

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