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A particle is located at the point (5, 5) on a metal surface whose temperature at...

A particle is located at the point (5, 5) on a metal surface whose temperature at a point (x, y) is T(x, y) = 25 - 3x2 - 2y2. Find the equation for the trajectory of a particle moving continuously in the direction of maximum temperature increase.

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To find the trajectory of a particle which moves in the direction of maximum increase of temperature

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