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Mathematical Modeling of Movement in Curved Three-Dimensional Spaces

A rubric for mathematical modeling, focusing on movement in curved three-dimensional spaces.

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Mathematical Modeling of Movement in Curved Three-Dimensional Spaces"Using differential equations, parametric equations, vectors, partial derivatives, and second-orderdifferential equations, describe a real-life situation involving movement in athree-dimensionalspace that includes non-flat surfaces (such as mountains, valleys, or roads). How can thesemathematical concepts be applied to design and characterize the terrain, as well as describe themovement of objects within that space? Include at least one math problem from each of the fivesections you studied and explain how these concepts would be used in a real-world scenario.(Word count: 800–1,000 words)"

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