(a) Which one of the following three-dimensional vector fields is conservative? O(y², 2y + sin z, y cos z) O(4xz?, ze", 4x²z + e') O(xz, -z sin y, x + 2z cos y) (b) Let F(x, y, z) denote the vector field from part (a) that is conservative. Let C be the curve parametrised by the vector function r(t) = (te" -1, sin at, t100), for 0

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Q: 2.) Calculate the curve integral over the vector field V(7, y) = ( -x*y xy for the positive oriented…

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A: please comment if you need any clarification. If you find my answer useful put thumbs up. Thank you.

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A: Option C is correct. To finde divergence I used divergence formula.

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