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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F022a4e9f-fee6-4904-b2da-7dcdaa3b5ed6%2F8381fa90-f804-40ef-9895-45a0f7ec1164%2Fz41fpf4_processed.png&w=3840&q=75)
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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