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8. The temperature T (in degrees Celsius) at any point (55,11, 2) is given by T(:r, y, z) = 2006'$2_3y2_922, where x, y, z are measured in meters. ((1) Find the rate of change of the temperature at the point P(2, 1,2) in the direction toward the point [3, 3,3). (b) Determine in which direction the temperature increases fastest at P. (c) Find the fastest rate of increase at P