Use Stoke's theorem to compute the integral SL(V × F) · n dS, where F(x, y, z) = (xz, yz, xy) and S is the portion of the sphere x2 + y? + z2 = 4 that lies inside the cylinder x2 + y? = 1 and above the xy-plane. %3D

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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2.
Use Stoke's theorem to compute the integral [Ls(V × F) · n dS, where
F(x, y, z) = (xz, yz, xy) and S is the portion of the sphere x2 + y? + z2 = 4 that lies inside the
cylinder x? + y?
= 1 and above the xy-plane.
Transcribed Image Text:2. Use Stoke's theorem to compute the integral [Ls(V × F) · n dS, where F(x, y, z) = (xz, yz, xy) and S is the portion of the sphere x2 + y? + z2 = 4 that lies inside the cylinder x? + y? = 1 and above the xy-plane.
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