Find the maximum rate of change of fat the given point and the direction in whic

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Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x,y,z) = 8x+3y/z (4, 4,-1) maximum rate of change direction vector point (x, y, z) is given by T(x, y, z) = 300e^-x^2 - 5y^2 - 9z^2 where T is measured in degree 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 (5, -4, 6). __________ degree 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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