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 Dec4 awarded Curious Feb9 awarded Notable Question Oct17 awarded Popular Question May15 comment How do you compute integral over C of F * dr? Need help Edited... sorry I don't know why it didn't show up. May15 asked How do you compute integral over C of F * dr? Need help May15 comment Evaluating $\oint_C (\arctan{y} - 5y)dx + \left(\frac{x}{1+y^2} + 2x\right)dy$ Then I can just use that? May15 revised Questions on Green's Theorem added 142 characters in body May15 asked Questions on Green's Theorem May15 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... May15 asked Evaluating $\oint_C (\arctan{y} - 5y)dx + \left(\frac{x}{1+y^2} + 2x\right)dy$ May14 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? May14 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? May14 comment How do you use the gradient to find $n$? @hyg17 I edited the question by the way May14 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? May14 revised How do you use the gradient to find $n$? added 286 characters in body May14 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 ? May14 asked How do you use the gradient to find $n$? May14 awarded Supporter May14 accepted How do you graph $x + y + z = 1$ without using graphing devices? May14 comment How do you graph $x + y + z = 1$ without using graphing devices? Wow. Thanks for such an excellent answer!! Answer accepted!