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

$T(x,y,z)=1200e^{-x^2-2y^2-z^2}$

where $Tis$ measured $inC$ and $x,y,$ and $zin$ meters.

Find the rate $of$ change $of$ the temperature $at$ the point $P(2,-3,2)in$ the direction

toward the point $Q(3,-5,3).$

Answer: $D_{\text{v}\text{e}\text{c}(PQ)}f(2,-3,2)=$

$In$ what direction does the temperature increase fastest $atP?$

Answer:

Find the maximum rate $of$ increase $atP.$

Answer: