T(x, y, z) = 1000e2–2y²-2? where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, –2, 2) in the direction toward the point Q(3, -4, 3). Answer: D f(2, –2, 2) = -4000sqrt6/e^16 PQ 2. In what direction does the temperature increase fastest at P? Answer: -4000i+8000j-4000k 3. Find the maximum rate of increase at P. Answer:

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