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Consider the vector function given by F(x,y,z)=z i+y j−x kF(x,y,z)=z\ \boldsymbol{i}+y\ \boldsymbol{j}-x\ \boldsymbol{k}F(x,y,z)=z i+y j−x k. Let CCC be the curve given by r(t)=t i+sint j+cost k\boldsymbol{r}(t)=t\ \boldsymbol{i} + \sin t\ \boldsymbol{j} + \cos t\ \boldsymbol{k}r(t)=t i+sint j+cost k, where 0≤t≤π0 \leq t \leq \pi0≤t≤π. What is the value of
N=∫CF⋅dr? N = \int_C \boldsymbol{F} \cdot d \boldsymbol{r} ? N=∫CF⋅dr?
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