Question: (a) Find the work done by the force field F(x, y) = x 2 i + xy j on a particle that moves once around

(a) Find the work done by the force field F(x, y) = x² i + xy j on a particle that moves once around the circle x² + y² = 4 oriented in the counterclockwise
direction.
(b) Use a computer algebra system to graph the force field and circle on the same screen. Use the graph to explain your answer to part (a).

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a We parametrize the circle C as rt 2 costi2sintj 0 t 2 So Frt 4 cos t 4 cos t sin t r t 2 si... View full answer

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