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A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. y (feet) y (feet) 19 19 t (hours) t (hours) 3 12 -19 -19 y (feet) y (feet) 19 19 t (hours) t (hours) /9 12 3 6 9 -19 -19

A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. y (feet) y (feet) 19 19 t (hours) t (hours) 3 12 -19 -19 y (feet) y (feet) 19 19 t (hours) t (hours) /9 12 3 6 9 -19 -19

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 67E
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A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. y (feet) y (feet) 19 19 t (hours) t (hours) 12 -19 -19 y (feet) y (feet) 19 19 t (hours) t(hours) /9 12 6V 12 -19 -19
Transcribed Image Text:A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. y (feet) y (feet) 19 19 t (hours) t (hours) 12 -19 -19 y (feet) y (feet) 19 19 t (hours) t(hours) /9 12 6V 12 -19 -19
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