Solve Geometric Problems as Polynomial Systems
Find the diameter of a solid in given by a polynomial inequality.
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Visualize the region.
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Formulate a necessary condition for a local maximum of the distance between two points on the boundary of ℛ.
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Use NSolve to find pairs satisfying the condition.
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Find the diameter of ℛ.
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Find the distinct pairs realizing the maximum distance.
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Visualize the result.
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