The Divergence Theorem - Part 2

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This video explains how to apply the divergence theorem to determine the flux of a vector field.
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I've used you videos for my entire second year of Calculus and i want you to know your an absolutely phenomenal teacher and overall person for doing this! Descriptive, graphs, examples, good explanations, motivational quotes.

I don't know if you ever read these, but you are doing a fantastic thing here, and your making such a big difference. Keep going man!

Jorgedudicoff
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Very nicely taught ..
Thanks a lot sir.

Jay shree Ram

geniusmathematics
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He doesn't ignore the vector field...you must take the triple integral of the divergence of F (which just results in z) times dV. he takes the divergence first, then sets z=0 to find the bounds of y and x, realizes they are messy and would be much easier in cylindrical coordinates, and then converts to cylindrical (x^2+y^2=r^2, and then as z=0 gives a cirlce with radius 2, r goes from 0 to 2 and theta traversing the circle goes from 0 to 2pi)

ruleofwrist
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lovley vids bro! really well explained!

andyhartmann
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May I ask, will the limits of theta still the same from 0 to 2pi after the whole circle has shifted 2 units to the right? (In that case, the value of r will change from 0 to 2; to 2 to 4 )

kimhao
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Hi~
Just Curious why the question ignore the Vector Field F ?
and just concentrate on the surface intergral?

michaelk
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damn dude
ur better than khan and patrick
get straight 2 the point

RenegadeFury