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  3. the temperature at a point (x, y, z) is given byt(

The temperature at a point (x, y, z) is given byT(x, y, z) = 400e^(-x-5y-9z)where...

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Calculus

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The temperature at a point (x, y, z) is given byT(x, y, z) = 400e^(-x-5y-9z)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(2, -1, 4) in the direction toward the point (3, -5, 6).(b) In which direction does the temperature increase fastest at P?(c) Find the maximum rate of increase at P.

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