Solve this problem by Matlab using chain rule and plot also by Matlab between T in x, y, z direction (3D)

= 3. A room of dimensions 5 mx 5 m x 5 m, shown in figure 3, is be- ing warmed from its corner A. Temperature in the room varies as T(x, y, z) = 1000 xyz2 K. Choose a point on the line AB and find: (a) The rate of change in temperature at P in the direction from A to B. (5 points) (b) Magnitude and direction of maximum rate of change at P. (3 points) (c) Unit normal to the isotherm passing through P. What is the value of temperature on this isotherm? (2 points) N B 5m A 5m 5m Figure 3: Room described in problem 3