Question: (a) Calculate oCF*dr where Cis any positive oriented simple closed curve that encloses theorigin and Fis given byF=(:2xy(x2+y2)2,y2-x2(x2+y2)2.:)Does the answer depend onC?(b) Calculate oCG*dr where
(a) Calculate oCF*dr where Cis any positive oriented simple closed curve that encloses theorigin and Fis given byF=(:2xy(x2+y2)2,y2-x2(x2+y2)2.:)Does the answer depend onC?(b) Calculate oCG*dr where Cis any positive oriented simple closed curve that encloses adomain Dof area 1521 units, andG=(:ex2+5y,cos(y)+x:)Hint: Begin by computing the circulation density of the fields.
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