Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F=yi + xzj + x°k C: The boundary of the triangle cut from the plane 4x + y +z= 4 by the first octant, counterclockwise when viewed from above. ... The circulation is. (Type an integer or a fraction.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
F=yi+ xzj +x*k
C: The boundary of the triangle cut from the plane 4x + y +z=4 by the first octant, counterclockwise when viewed from above.
The circulation is
(Type an integer or a fraction.)
Transcribed Image Text:Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F=yi+ xzj +x*k C: The boundary of the triangle cut from the plane 4x + y +z=4 by the first octant, counterclockwise when viewed from above. The circulation is (Type an integer or a fraction.)
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