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Problem 5. (1 point) The temperature at a point (x, y, z) is given by T(x, y, z) = 1200e'x2'23'2'zz 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, 3, 2) in the direction toward the point Q(3, 5, 3). Answer: DF f(2, 3, 2) = 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer: Note: You can earn partial credit on this