F(x, y, z) = zexyi - 3zej + xyk, s
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
1/²
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) = zexyi - 3zej + xyk, S is the parallelogram with parametric equations x = u + v₁y = u - v, z = 1+ 2u + v, 0 ≤us 2,0 ≤ vs 1 with upward orientation
F. ds =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ce77fe1-198f-49ac-85d1-94a86e8dc9c0%2F77fa011f-5f00-49dc-a482-5e614c978ee1%2Feohs3hg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the surface integral
1/²
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) = zexyi - 3zej + xyk, S is the parallelogram with parametric equations x = u + v₁y = u - v, z = 1+ 2u + v, 0 ≤us 2,0 ≤ vs 1 with upward orientation
F. ds =
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