Question: Given the vector field G = (16xy z)ax + 8x2ay xaz (a) Is G irrotational (or conservative)? (b) Find the flux of G

Given the vector field G = (16xy – z)ax + 8x2ay – xaz
(a) Is G irrotational (or conservative)?
(b) Find the flux of G over the cube 0 < x, y, z < 1.
(c) Determine the circulation of G around the edge of the square z = 0, 0 < x, y < 1. Assume anticlockwise direction.

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