Question: The function gives the temperature for points in a room, if we are at point (2,2,4) which direction should we move in order to experience

The function $( T(x, y, z)=10 cdot e^{-x^{2}-y^{2}-z^{2}} )$ gives the temperature for points in a room, if we are at point (2,2,4) which direction should we move in order to experience the most increase in temperature.

Calculate the components for directions:

X-coordinate=

y-coordinate=

z-coordinate=

If we move in this direction what is the rate of rise for the temperature?

ezy T(x, y, z)= 10 e

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