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Compute the derivative of the given vector field F. Evaluate the line integral of F(x,y,z) =...

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Basic Math

Compute the derivative of the given vector field F. Evaluate the line integral of

F(x,y,z) = (y+z+yz , x+z+xz , x+y+xy )
over the path C consisting of line segments joining (1,1,1) to (1,1,2), (1, 1, 2) to (1, 3, 2), and (1, 3, 2) to (4, 3, 2) in 3 different ways, along the given path, along the line from (1,1,1) to (4,3,2), and finally by finding an anti-derivative, f, for F.

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