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Temperature t increase fastest at the point

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Reference no: EM131470718

Suppose that the temperature at a point (x, y, z) in space is given by:

T(x, y, z) = 80/(1 + x^2 + 2y^2 + 3z^2), where T is measured in degrees Celsius and x, y, z in meters.

In which direction(find a unit vector) does the temperature T increase fastest at the point (1, 1, - 2)? What is the maximum rate of increase?

Reference no: EM131470718

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