Use the divergence theorem to evaluate te ff. F. Is by paraboloid y = x² + 22-2, cylinder x² +22=1, and plane x + y = 2, and S is oriented outward. I 9x 2 F-ds, where F(x, y, z) = xi + yj + zk and S is the boundary of the solid enclosed

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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© f/₁ ²
F. ds, where F(x, y, z) = xi + yj + zk and S is the boundary of the solid enclosed
by paraboloid y = x² + 22-2, cylinder x² +22=1, and plane x + y = 2, and S is oriented outward.
Use the divergence theorem to evaluate
I
9x
2
Transcribed Image Text:© f/₁ ² F. ds, where F(x, y, z) = xi + yj + zk and S is the boundary of the solid enclosed by paraboloid y = x² + 22-2, cylinder x² +22=1, and plane x + y = 2, and S is oriented outward. Use the divergence theorem to evaluate I 9x 2
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