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Suppose there is a rectangular metal plate in the Oxy-plane with vertices (1, 1), (5, 1),...

Suppose there is a rectangular metal plate in the Oxy-plane with vertices (1, 1), (5, 1), (1, 3) and (5, 3). There is a heat source at the origin that heats the plate. Suppose the temperature at a point in the plate is inversely propotional to the distance of this point to the origin. Suppose there is an ant at the point (3,2). In which direction should the ant creep such that it gets to the cooler place fastest?
Hint: Gradient vector.

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genius_generous answered 2 years ago
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