A paddle wheel on a boat (see image below) has a diameter of 5 meters and takes 180 seconds to complete one revolution. As the wheel begins to turn, a barnacle attaches to the wheel at its lowest point, which is 0.5 meters below the surface of the water. a) Create a table of values that describes the height of the barnacle on the outer edge of the wheel during the first 12 minutes of the boat ride. b)Use your table of values to write a sinusoidal regression equation that models the height of the barnacle as a function of time. (Round to the nearest tenth). c) How does the radius of the paddle wheel relate to the parameters of your equation? Explain

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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A paddle wheel on a boat (see image below) has a diameter of 5 meters and takes 180 seconds to complete one revolution. As the wheel begins to turn, a barnacle attaches to the wheel at its lowest point, which is 0.5 meters below the surface of the water. a) Create a table of values that describes the height of the barnacle on the outer edge of the wheel during the first 12 minutes of the boat ride. b)Use your table of values to write a sinusoidal regression equation that models the height of the barnacle as a function of time. (Round to the nearest tenth). c) How does the radius of the paddle wheel relate to the parameters of your equation? Explain

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