F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parallel to the vector < 1, –4,2 > where f (x,y, z) = 4x – y?e*z.

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A:

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A: The given expressions

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A:

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A:

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A: By using De moivres theorem the answer is given as follows :