Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 16z) k C is the line segment from (1, 0, –2) to (5, 5, 2) (a) Find a function f such that F = Vf. F(x, y, z) (b) Use part (a) to evaluate F• dr along the given curve C.

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Q: Consider F and C below. F(x, y, z) = yzi + xz j + (xy + 14z) k C is the line segment from (2, 0, -2)…

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Q: Consider F and C below. F(x, y, z) = yz i+xz j + (xy + 10z) k C is the line segment from (2, 0, -1)…

A: I have explained everything with in the solution. Please go through that.

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Q: 2. Given f (x, y) = x + 2y, find F(x, y) =Vf and sketch it along with the contour map of f.

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Q: Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 8z) k C is the line segment from (2, 0, -1)…

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