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

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{'transcript': "So I guess in reality a power you have to use a computer or calculator to you and I'LL compute the first part. So once around the circle culture class wise so kind of standard Parametric ation Mexico's to co sign T Boy hose to society and the tea goes wrong. The other two pi So what is F or far off? T? We're simply replaced x by to society And why by two scientists Second power should be fourth scientific all scientists in our prime iss negative to sigh Inti to co sign t no so integral integral from zero to two pints a dot product of these two, it's negative. Eight sci fi coz I scurti plus a sai inti Cose I squirt ti So you find if I didn't make any mistake their teacher this who term looks like they're canceling. Therefore we should get zero Well, let me tell you actually, if I compute anything wrong ex Chris for cause I score thirteen x wise for scientific society The ribbed him is Neck deep Sigh and cose I That's right. Then we takes Ah, we take a shot for that So we're negative a psycho's I square eight cycles I sparkle. It looks like they're indeed can sew, sew, sew This this inter cross here"}

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