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Consider the vector field F= <ey+ycosx , xey+sinx> . a) are the conditions for this field...

  1. Consider the vector field F= <ey+ycosx , xey+sinx> . a) are the conditions for this field to be conservative satisfied? ; b) If they are, find a potential V ; c) Compute the line integral of this field for the following trajectory C : Straight line from (0 , - 1) to (1 , 0) , followed by the curve from (1 , 0) to (2 , 1), followed by the straight line from (2 , 1) to (1 , 1).
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