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) = -13 cos 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 time into each box to correctly complete the statements. The first minimum water height of occurs at a.m. feet occurs at - 5+24, where the height of a.m. The first maximum water height of feet
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) = -13 cos 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 time into each box to correctly complete the statements. The first minimum water height of occurs at a.m. feet occurs at - 5+24, where the height of a.m. The first maximum water height of feet
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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Question
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)=−13cos(πx60−5π12)+24, 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 time into each box to correctly complete the statements.
Transcribed Image Text: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) = −13 cos (552) +24, 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 time into each box to correctly complete the statements.
The first minimum water height of
occurs at
10
11
ia.m.
12
23
24
25
feet occurs at
35 36 37
10:15
a.m. The first maximum water height of
8:15
10:25 10:32
8:25 8:32 9:15 9:25
9:32
feet
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