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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) orientatio F(x, y, z)= xy i + yz j + zx k S is the part of the paraboloid z = 4 x2 - y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ ys 1, and has upward orientation

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) orientatio F(x, y, z)= xy i + yz j + zx k S is the part of the paraboloid z = 4 x2 - y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ ys 1, and has upward orientation

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 J₁F 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) = xy i+ yz j + zx k S is the part of the paraboloid z = 4 - x2 - y2 that lies above the square 0 ≤x≤ 1, 0 ≤ y≤ 1, and has upward orientation Need Help? Read It Watch It Master It
Transcribed Image Text:Evaluate the surface integral J₁F 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) = xy i+ yz j + zx k S is the part of the paraboloid z = 4 - x2 - y2 that lies above the square 0 ≤x≤ 1, 0 ≤ y≤ 1, and has upward orientation Need Help? Read It Watch It Master It
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