The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x² + y² + z² + 3). Distance is measured in inches. (a) Find the rate of change of the temperature at the point (3, –2, 2) in the direction of the vector –2 i+3j-6k. (6) Find the direction and magnitude of the greatest rate of change of T at (3,–2, ).

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