e temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x2 -5y2 - 722 ere T is measured in °C and x, y, z in meters.. (a) Find the rate of change of temperature at the point P(4, -1, 3) in the direction towards the point (6, -5, 6). °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P.

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