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The temperature T of a flat sheet, at the point (?x, y) ?, is given by...

The temperature T of a flat sheet, at the point (?x, y) ?, is given by
T (?x, y) ? ? x ^ 3 - 2xy + ? 2y ^ 22. a) Determine the rate of change of temperature in the direction of the vector v = (?2, −1) ?, from the point P (? − 1,2) ?. b) Calculate the highest rate of temperature growth from P (? − 1,2) ?, as well as the direction in which it occurs.

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