EXERCISE 5 The temperature _is T degrees at any point (x, y, z) in three- dimensional space and T(:r:,y, z) = 1/(x2 + 312 + 22 + 3). Distance is measured in inches. (c) Find the rate of change of the temperature at the point (3, -2, 2) in the direction of the vector -2 i+ 3 j --6 k. (b) Find the direction and magnitude of the greatest rate of change of T at (3, -2, 2). 13-14/14 'F/ '\\