Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = (y² +z²)i + (x² +y²) j+ (x² + y²) k around the curve C: The square bounded by the lines x = ±9 and y = ±9 in the xy-plane, counterclockwise when viewed from above. $ra-0 dr= G
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- Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 3₁ F = 2yi +5xj + z³k; C: the counterclockwise path around the perimeter of the triangle in the x-y plane formed from the x-axis, y- axis, and the line y = 5 - 6xUse the surface integral in Stokes' Theorem to calculate the circulation of the field F= (y² +2²) 1+ (x² + y²)j + (x² + y²) k around the curve C: The square bounded by the lines x = + 9 and y = +9 in the xy-plane, counterclockwise when viewed from above. $₁ F.dr=Let F = curl(A). Which of the following are related by Stokes' Theorem? (a) The circulation of A and flux of F (b) The circulation of F and flux of A
- Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = (y² + z²)i + (x² + y²)j + (x² + y²) k around the curve C: The square bounded by the lines x = ± 11 and y = ± 11 in the xy-plane, counterclockwise when viewed from above. $F+dr= сLet F=(9xy,7y,8z)=(9xy,7y,8z).The curl of F=(Is there a function f such that F=∇f=∇? (y/n)Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = (y +z)i+ (x2 + y?)j+ (x2 + y?) k around the curve C: The square bounded by the lines x = +3 and y = +3 in the xy-plane, counterclockwise when viewed from above. ... F.dr