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5) Let F(x, y, z) = x²i+ y²j+ z2k be a vector field defined on the surface S which is the portion of the cylinder y2 + z? = 4, with z > 0 between the planes x = 0 and x = 5 oriented upward. Evaluate the surface integral f fs F.dS for the given vector field F and the oriented surface S.

5) Let F(x, y, z) = x²i+ y²j+ z2k be a vector field defined on the surface S which is the portion of the cylinder y2 + z? = 4, with z > 0 between the planes x = 0 and x = 5 oriented upward. Evaluate the surface integral f fs F.dS for the given vector field F and the oriented surface S.

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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5) Let F(x, y, z) = x²i+y²j+ z²k be a vector field defined on the surface S which is the portion of the cylinder y? + z² = 4, with z > 0 between the planes x = integral f Ss F.dS for the given vector field F and the oriented surface S. O and x = 5 oriented upward. Evaluate the surface
Transcribed Image Text:5) Let F(x, y, z) = x²i+y²j+ z²k be a vector field defined on the surface S which is the portion of the cylinder y? + z² = 4, with z > 0 between the planes x = integral f Ss F.dS for the given vector field F and the oriented surface S. O and x = 5 oriented upward. Evaluate the surface
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