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The temperature in Celsius(degrees) at the point (x,y,z) where x, y, z are measured in meters given by T(x,y,z)=
1/x^2+2y^2+3z^2.

a) Find the rate of change in temperature at the point P(1,0,-1) in the direction toward the point Q(2,1,-2).

b) In what direction does the temperature increase fastest at P.

c) Find the maximum rate of increase at P.

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