Question: (6) Let C be a simple closed smooth curve in the plane 2x + 2y + z = 2, oriented as shown here. Show that

(6) Let C be a simple closed smooth curve in the

(6) Let C be a simple closed smooth curve in the plane 2x + 2y + z = 2, oriented as shown here. Show that 2y dx + 3z dy - x dz depends only on the area of the region enclosed by C and not on the position or shape of C. N 2x + 2y + z = 2 - V

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