The temperature at a point (x,y,z) is given by

T(x,y,z)=1000e^{-x^2-2y^2-z^2} where T is measured in C and x, y, and z in meters.

1. Find the rate of change of the temperature at the point P(2,2,2) in the direction toward the point Q(3,4,3). Answer: D_PQf(2,2,2)=

2. In what direction does the temperature increase fastest at P? Answer: