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Unformatted text preview: a ) Directly b ) Using Green’s Theorem 6. Use Green’s Theorem to evaluate R C F • d r .(Check the orientation of the curve before applying the theorem.) F ( x,y ) = h √ x + y 3 ,x 2 + √ y i , C consists of the arc of the curve y = sin x from (0 , 0) to ( π, 0) and the line segment from ( π, 0) to (0 , 0) 7. Use Green’s Theorem to ﬁnd the work done by the force F ( x,y ) = x ( x + y ) i + xy 2 j 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. 1...
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- Spring '10