Suppose the temperature at a point in a metal cube is given by T(u, v, w) = 90 - 55e ^[-1/20(u²+v² +w²)] where the centre of the

Question

Suppose the temperature at a point in a metal cube is given by T(u, v, w) = 90 - 55e ^[-1/20(u²+v² +w²)] where the centre of the cube is taken to be at (1, 0, -2). Find the rate of change of temperature at the origin in the direction of the unit vector.  r=(1/√7)(-2,1,-3).

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