Evaluate ff.dS, where (a) v = (xy, -x², x +z) and S is the part of the plane 2x + 2y + z = 6 included in the first octant; (b) v = (3y, 2x², z³) and S is the surface of the cylinder x² + y² = 1, 0 < z < 1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3.4.8
Evaluate ff, d.S, where
(a) v = (xy, -x², x +z) and S is the part of
the plane 2x + 2y + z = 6 included in the
first octant;
(b) v = (3y, 2x², z³) and S is the surface of the
cylinder x² + y² = 1,0 <z < 1.
2
Transcribed Image Text:3.4.8 Evaluate ff, d.S, where (a) v = (xy, -x², x +z) and S is the part of the plane 2x + 2y + z = 6 included in the first octant; (b) v = (3y, 2x², z³) and S is the surface of the cylinder x² + y² = 1,0 <z < 1. 2
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