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2. A large box is heated in such a way that the temperature inside
the box is given by
T= T(r,y, z) = 4r³ + 2y² + 3z + 20.
(Temperature in degrees, distances in meters.)
Determine the magnitude and direction of the maximum rate of
temperature increase at z = y = z = 1. (Express the direction as a
unit vector in the direction of maximum increase.)

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