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Q6 Needed to be solved correctly in 30 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed

Q6 Needed to be solved correctly in 30 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed

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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Q6 Needed to be solved correctly in 30 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed
' // F 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. Evaluate the surface integral F(x, y, z) = xyi+yzj + zxk, S is the part of the paraboloid z = 6-x² - y² that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation.
Transcribed Image Text:' // F 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. Evaluate the surface integral F(x, y, z) = xyi+yzj + zxk, S is the part of the paraboloid z = 6-x² - y² that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation.
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