A drum used for percussion has sides modeled by a hyperbola. Suppose the total height of the drum is known. The diameter at the top of the drum is 16 inches, and the minimum diameter is 7 inches, occurring at a height of 9 inches. Assume that the center of the hyperbola occurs at the height where the diameter is the least. Choose your own value for the height of the drum based on the scenario above and address the following: Draw a graph or figure to represent this situation. Describe how the concepts from this module can be applied in this case. Determine the equation of a hyperbola that models the sides of the drum.
A drum used for percussion has sides modeled by a hyperbola. Suppose the total height of the drum is known. The diameter at the top of the drum is 16 inches, and the minimum diameter is 7 inches, occurring at a height of 9 inches. Assume that the center of the hyperbola occurs at the height where the diameter is the least. Choose your own value for the height of the drum based on the scenario above and address the following: Draw a graph or figure to represent this situation. Describe how the concepts from this module can be applied in this case. Determine the equation of a hyperbola that models the sides of the drum.
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 20T
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A drum used for percussion has sides modeled by a hyperbola. Suppose the total height of the drum is known. The diameter at the top of the drum is 16 inches, and the minimum diameter is 7 inches, occurring at a height of 9 inches. Assume that the center of the hyperbola occurs at the height where the diameter is the least.
Choose your own value for the height of the drum based on the scenario above and address the following:
- Draw a graph or figure to represent this situation.
- Describe how the concepts from this module can be applied in this case.
- Determine the equation of a hyperbola that models the sides of the drum.
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