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2. The temperature at a point (x, y) on a metal plate in the xy-plane is given by T(x, y) = 3x 2 + y

2. The temperature at a point (x, y) on a metal plate in the xy-plane is given by T(x, y) = 3x²+ y² 2xy degree Celsius. (a) At the point (1, 2), find the direction in which the temperature drops most rapidly and find rate of change of temperature in this direction.(b) Determine the maximum/minimum of temperature T(x, y).

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