Evaluate the surface integral 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 = 2
Evaluate the surface integral 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 = 2
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
JS
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 = 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbb2668f-a3de-4415-bde5-46e431f5c230%2F59e2a09b-bb0c-42a3-8cc9-6758684ee466%2F8tqsh6_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the surface integral
JS
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 = 2
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