The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 5y²-72² where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature (in °C/m) at the point P(4, -1, 4) in the direction toward the point (6, -5, 5). -37 -33600e √17 (b) In which direction does the temperature increase fastest at P? -37 e °C/m (-1200i +3000j - 8400k) (c) Find the maximum rate of increase at P. -37 9000e X X

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