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14-03-2024
Physics

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Find the work done by the force field F(x,y) =5x²i−xyj on a particle that moves once around the circle x²+y²=1 oriented in the counter-clockwise direction. The curve C can be parametrized as:
a) C(t) =(cos(t) ,sin(t) ) ,0≤t≤2π
b) C(t) =(sin(t) ,cos(t) ) ,0≤t≤2π
c) C(t) =(cos(t) ,sin(t) ) ,−π≤t≤π
d) C(t) =(sin(t) ,cos(t) ) ,−π≤t≤π

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