10. F= (y2 +2²)i + (x² + z²)j + (x² + y²)k C: The boundary of the triangle cut from the plane x + y + z = 1 by the first octant, counterclockwise when viewed from above
10. F= (y2 +2²)i + (x² + z²)j + (x² + y²)k C: The boundary of the triangle cut from the plane x + y + z = 1 by the first octant, counterclockwise when viewed from above
10. F= (y2 +2²)i + (x² + z²)j + (x² + y²)k C: The boundary of the triangle cut from the plane x + y + z = 1 by the first octant, counterclockwise when viewed from above
Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
Transcribed Image Text:10. F= (y2 +22)i + (x² + z²)j + (x² + y²)k
C: The boundary of the triangle cut from the plane x + y + z = 1
by the first octant, counterclockwise when viewed from above
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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