Suppose vec ( F ) ( x , y ) ( 5 x 3 y ) v e c ( i ) ( 3 x 3 y ) v e c ( j ) Evaluate the line integral for each of the given paths, which are comprised of line segments and arcs of circles ( a ) If C is the open semicircular path in figure I of radius 2 oriented counterclockwise, then C vec ( F ) d v e c ( r ) ( b ) If C is the open piecewisetinear path in figure II from ( 2 , 0 ) to ( 0 , 2 ) to ( 2 , 0 ) , then C vec ( F ) d v e c ( r ) ( c ) If C is the closed path in figure III along the boundary of a semi disk of radius 2 oriented counterclockwise, then C vec ( F ) d v e c ( r )

Question

Suppose vec ( F ) ( x , y )   ( 5 x   3 y ) v e c ( i )   ( 3 x   3 y ) v e c ( j )   Evaluate the line integral for each of the given paths, which are comprised of line segments and arcs of circles  ( a ) If C is the open semicircular path in figure I of radius 2 oriented counterclockwise, then C vec ( F )   d v e c ( r )   ( b ) If C is the open piecewisetinear path in figure II from ( 2 , 0 ) to ( 0 ,   2 ) to (   2 , 0 ) , then C vec ( F )   d v e c ( r )   ( c ) If C is the closed path in figure III along the boundary of a semi   disk of radius 2 oriented counterclockwise, then C vec ( F )   d v e c ( r )

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Question: Suppose vec ( F ) ( x , y ) = ( 5 x + 3 y ) v e c ( i ) +

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