The temperature at a point (x, y, z) is given by T(x, y, z) = 1000e -22-22-22 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__$(2, -2, 2) PQ = 2. In what direction does the temperature increase fastest at P? Answer:

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The temperature at a point (x, y, z) is given by T(x, y, z) = 1000e -22-22-22 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__$(2, -2, 2) PQ = 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:

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