Use Green's Theorem to evaluate ∫C​F⋅dr. (A) F(x,y)=⟨y−cosy,xsiny⟩, C is the circle (x−3)2+(y+4)2=4 oriented clockwise (

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Use Green S Theorem To Evaluate C F Dr A F X Y Y Cosy Xsiny C Is The Circle X 3 2 Y 4 2 4 Oriented Clockwise 1 (17.63 KiB) Viewed 36 times

Use Green's Theorem to evaluate ∫C​F⋅dr. (A) F(x,y)=⟨y−cosy,xsiny⟩, C is the circle (x−3)2+(y+4)2=4 oriented clockwise (B) F(x,y)=⟨x2+1​,tan−1x⟩,C is the triangle from (0,0) to (1,1) to (0,1) to (0,0) Use Green's Theorem to find the work done by the force F(x,y)=x(x+y)i+xy2j in moving a particle from the origin along the x-axis to (1,0), then along the line segment to (0,1), and then back to the origin along the y-axis.