The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x2 - 3y2 - 722 where 7 is measured in
The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x2 - 3y2 - 722 where 7 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, 5) in the direction toward the point (5, -4, 6). oc/m X (b) In which direction does the temperature increase fastest at P? X (c) Find the maximum rate of increase at P. X
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