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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.

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: DPQf(2,2,2)=

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

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