The temperature at a point (x, y, z) is given by T(x, y, 2) = 400e-x2 - 3y2 - 722 where 7 is measured in C and x, y, z in meters. (a) Find the rate of change of temperature (in C/m) at the point P(4, -1, 5) in the direction toward the point (5, -4, 6). 155200 V 14 e -162 oc/m X (b) In which direction does the temperature increase fastest at P? -4,3, - 35 V 1250 Your answer cannot be understood or graded. More Information X (c) Find the maximum rate of increase at P. 400 '1250 -162 X