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Suppose That as You Move Away from the Point (-1 f(x,y,z)f ( x , y , z )

Question 8

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Suppose that as you move away from the point (-1, -1, -1), the function f(x,y,z)f ( x , y , z ) increases most rapidly in the direction 0.6i+0.8j0.6 \vec { i } + 0.8 \vec { j } and the rate of increase of f in this direction is 4.At what rate is f increasing as you move away from (-1, -1, -1)in the direction of i+j+k\vec { i } + \vec { j } + \vec { k } ? Give your answer to 4 decimal places.

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