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(Solved): Suppose \[ \vec{F}(x, y)=(4 x-3 y) \vec{i}+5 x \vec{j} \] and \( C \) is the counter-clockwise orie ...




Suppose
\[
\vec{F}(x, y)=(4 x-3 y) \vec{i}+5 x \vec{j}
\]
and \( C \) is the counter-clockwise oriented sector of a circle ce
Suppose \[ \vec{F}(x, y)=(4 x-3 y) \vec{i}+5 x \vec{j} \] and \( C \) is the counter-clockwise oriented sector of a circle centered at the origin with radius 2 and central angle \( \pi / 4 \). Use Green's theorem to calculate the circulation of \( \vec{F} \) around \( C \). Circulation \( = \)


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Given that F?=(4x?3y)i?+5xj? Then ?C
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