Let C be a simple closed smooth curve in the plane 2x + 2y +z =2 oriented as shown on the right. Show that 2x + 2y + z-2 O, 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. ..... Let C be an arbitrary path x(t)i + y(t)j + z(t)k in the given plane. Then r can be expressed as xi + yj + zk and the integrand of 2y dx + 3z dy - x dz is F• dr where F i+

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