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In Exercises $1-6,$ use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve $C$ in the indicated direction. $...

Question

In Exercises $1-6,$ use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve $C$ in the indicated direction. $\mathbf{F}=2 y \mathbf{i}+3 x \mathbf{j}-z^{2} \mathbf{k}$ $C :$ The circle $x^{2}+y^{2}=9$ in the $x y$ -plane, counterclockwise when viewed from above

In Exercises $1-6,$ use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve $C$ in the indicated direction. $\mathbf{F}=2 y \mathbf{i}+3 x \mathbf{j}-z^{2} \mathbf{k}$ $C :$ The circle $x^{2}+y^{2}=9$ in the $x y$ -plane, counterclockwise when viewed from above



Answers

In Exercises $1-6,$ use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve $C$ in the indicated direction.
$\mathbf{F}=2 y \mathbf{i}+3 x \mathbf{j}-z^{2} \mathbf{k}$
$C :$ The circle $x^{2}+y^{2}=9$ in the $x y$ -plane, counterclockwise when viewed from above


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