Assuming that the unit of T is °C and the unit of x,y,z is a meter, the temperature at the given point T(x,y,z) = 200e^-

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Assuming that the unit of T is °C and the unit of x,y,z is a meter, the temperature at the given point T(x,y,z) = 200e^-x^2-3y^2-9z^2(1) Find the rate of change in temperature at point P(2,-1,2) in the direction of Q(3,-3,3).(2) In which direction does the temperature increase the fastest at point P?(3) Find the maximum rate of change at point P.