A) Let F(x,y,z) = (-y, x, xyz). Using Stokes' theorem evaluate the flux int_C F*ndr where C is the curve x²+y²=1 in the xy- plane
A) Let F(x,y,z) = (-y, x, xyz). Using Stokes' theorem evaluate the flux int_C F*ndr where C is the curve x²+y²=1 in the xy- plane
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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![A) Let F(x,y,z) = (-y, x, xyz). Using Stokes' theorem evaluate the flux int_C F*ndr where C is the curve x²+y²=1 in the xy-
plane
B) Let W= [0,1]³ the unit circle in the first octant. Find the outward flux of F(x,y,z) = (yz, xz, xy) across the boundary of W.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7373726-0d35-46ca-aa27-97bcf9126f3a%2Fca670794-313b-44b1-b3fb-df77af7851c7%2Fpwb38pd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A) Let F(x,y,z) = (-y, x, xyz). Using Stokes' theorem evaluate the flux int_C F*ndr where C is the curve x²+y²=1 in the xy-
plane
B) Let W= [0,1]³ the unit circle in the first octant. Find the outward flux of F(x,y,z) = (yz, xz, xy) across the boundary of W.
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