Use Stokes' theorem to evaluate the integral I = ?_C F · ds when F is the vector field F = 2zxi + 3xyj + yzk and C is the path consisting of the three edges of the triangle ?ABC shown in formed by the portion of the plane x + y + z = 1 in the first octant of 3-space, oriented as shown.
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The surface S is the triangular region in the plane x + y + z = 1 in the first octant. Show more…
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