To state: The model for the height h (in feet) of the end of the paddle relative to the water’s surface as a function of time if the paddle wheel of a ship is 11 feet in diameter, revolves 15times per minute when moving at top speed, and is 2 feet below the water’s surface at its lowest point.
The resultant answer is
Given information:
The paddle wheel of a ship is 11 feet in diameter, revolves 15times per minute when moving at top speed, and is 2 feet below the water’s surface at its lowest point.
Explanation:
Identify the maximum and minimum points of the graph to find the model for this function.
The minimum point is already given as 2, the maximum point can be obtained by adding 2 in the diameter.
Then the maximum point is:
Now find the amplitude and magnitude:
Use the cosine graph because the maximum of the graph is at 0.
The wheel rotates 15 times per minutes which gives
Now plug the values in the formula
Therefore, the model is
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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