Evaluate the surface integral ff 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) = e'i + ye'j+ x'yk, Sis the part of the paraboloid z square 0 < x< 1,0 < y<1 and has upward orientation = x² + y that lies above the
Evaluate the surface integral ff 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) = e'i + ye'j+ x'yk, Sis the part of the paraboloid z square 0 < x< 1,0 < y<1 and has upward orientation = x² + y that lies above the
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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Transcribed Image Text:3. Evaluate the surface integral ff 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) = e' i + ye"j+ x²y k,
S is the part of the paraboloid z = x? + y? that lies above the
square 0 < x < 1,0 < y< 1 and has upward orientation
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