Question 3. The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-12-2y2-3z2 where T is measured in C and x, y, z in meters. (i) Find the rate of change of temperature at the point P(1, -2, 1) in the direction toward the point (2, -4, 2). (ii) In which direction does the temperature increase fastest at P? (iii) Find the maximum rate of increase at P