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(a) Find the work done by the force field

$\mathbf{F}(x, y)=x^{2} \mathbf{i}+x y \mathbf{j}$ on a particle that moves once around the circle $x^{2}+y^{2}=4$ 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).

a) Work done is 0

b) $\int_{C} F \cdot d r=0$

Vector Calculus

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