*If you do not answer all parts I will not choose your answer as the \'best answ

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*If you do not answer all parts I will not choose your answer as the 'best answer.'*

Consider a triangle whose vertices are located at (1,0), (3,0), and (2,1). HINT: Draw a picture!. Calculate the circulation of the vector field VectorF(x,y) = xy i + (x + y)j around the triangle (oriented counterclockwise) (a) using the definition of a line integral of a vector field; (b) using Greens Theorem. HINT: Your answers should be the same! (c) Give an example of a vector field P(x,y) whose circulation around the triangle is 0. HINT: There is more than one correct answer! *If you do not answer all parts I will not choose your answer as the 'best answer.'*

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