The temperature at a point (X, y, z) is given by 2 2 2 T(x, y, z) = loneX _ 3V _ 92 where T is measured in C and X, y, z in meters. (a) Find the rate of change of temperature at the point P(2, 1, 5) in the direction towards the point (6, 4, 6). U x C/m (b) In which direction does the temperature increase fastest at P? X H (c) Find the maximum rate of increase at P. X H