Let C be a simple closed smooth curve that lies in the plane x + y +
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Let C be a simple closed smooth curve that lies in the plane x + y + z = 1. Show that the line integral
ʃC z dx - 2x dy + 3ydz
depends only on the area of the region enclosed by C and not on the shape of C or its location in the plane.
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Let S be the surface in the plane x y z 1 with upward orientation enclosed by C Then ...View the full answer
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