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Given F(x, y, z) = xzi + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate f, curl F n ds by using Stokes' Theorem. %3D

Given F(x, y, z) = xzi + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate f, curl F n ds by using Stokes' Theorem. %3D

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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Given F(x, y, z) = xzị + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate ff, curl F n ds by using Stokes' Theorem.
Transcribed Image Text:Given F(x, y, z) = xzị + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate ff, curl F n ds by using Stokes' Theorem.
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