The temperature at a point (X, y, z} is given by 2 2 2 \"ix, 1!, z} = limeX _ 31" ' 92 where T is measured in E\"(I and X, y, z in meters. (a) Find the rate of change of temperature at the point P(2, l, 2} in the direction towards the point (3, 4, 5). E\"1:me (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P