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Evaluate the surface integral J F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xi+yj+7k S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 6

Evaluate the surface integral J F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xi+yj+7k S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Evaluate the surface integral JSF F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xi + yj+7k S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 6
Transcribed Image Text:Evaluate the surface integral JSF F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xi + yj+7k S is the boundary of the region enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 6
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