Calculate low where a) w = (x+y)dx + (x - y)dy and a = {(x,y) R:...

 

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Calculate low where a) w = (x+y)dx + (x - y)dy and a = {(x,y) R²: y = r² and r [-1,1]} (3.5 P.) b) w= (xy-y)dx + (xy + x)dy where a is the boundary of the set {(x, y) = R² : x² + y² ≤ 1 and y2 0} oriented counterclockwise. (3.5 P.) Calculate low where a) w = (x+y)dx + (x - y)dy and a = {(x,y) R²: y = r² and r [-1,1]} (3.5 P.) b) w= (xy-y)dx + (xy + x)dy where a is the boundary of the set {(x, y) = R² : x² + y² ≤ 1 and y2 0} oriented counterclockwise. (3.5 P.)