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 Sep 25 awarded Popular Question Sep 20 awarded Famous Question Sep 14 awarded Popular Question Dec 4 awarded Curious Feb 9 awarded Notable Question Oct 17 awarded Popular Question May 15 comment Evaluating $\oint_C (\arctan{y} - 5y)dx + \left(\frac{x}{1+y^2} + 2x\right)dy$ Then I can just use that? May 15 revised Questions on Green's Theorem added 142 characters in body May 15 asked Questions on Green's Theorem May 15 comment Evaluating $\oint_C (\arctan{y} - 5y)dx + \left(\frac{x}{1+y^2} + 2x\right)dy$ Could you finish up for me please? That's what I am stuck on... May 15 asked Evaluating $\oint_C (\arctan{y} - 5y)dx + \left(\frac{x}{1+y^2} + 2x\right)dy$ May 14 comment What does it mean to be divergence thorem applicable? @BradyTrainor when this example problem, my teacher was like first you need to check if they are piecewise smooth and check if check if $\vec{F}(x,y,z)$ is continuously differentiable. He then said since it follows all those conditions, the divergence theorem can be applied. He didn't show how he recognized that they follow those conditions. Couldn't someone tell me how he did? May 14 comment How do you use the gradient to find $n$? $$z = \sqrt{1 - x^2 - y^2}$$ oh so does $$sqrt(1 - x^2 - y^2)$$ always represent the radius? May 14 comment How do you use the gradient to find $n$? @hyg17 I edited the question by the way May 14 comment How do you use the gradient to find $n$? @hyg17 what do you mean the norm of $\overrightarrow{N}$ is not always 1? Isn't $\overrightarrow{N}$ = <2x,2y,2z>? How can you tell by the question if the norm of $\overrightarrow{N}$ is 1? May 14 revised How do you use the gradient to find $n$? added 286 characters in body May 14 comment How do you use the gradient to find $n$? but how does sqrt(x^2 + y^2 + z^2) in the denominator become 1 all of a sudden and you are left with ? May 14 asked How do you use the gradient to find $n$? May 14 awarded Supporter May 14 accepted How do you graph $x + y + z = 1$ without using graphing devices?