The temperature at a point (x, y, z) is given by T(x, y, z) = lOOe'X2 ' 5y2 ' 922 where Tis measured in C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(2, 1, 2) in the direction towards the point (3, 5, 6). \"C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P. li