Divergence theorm example for 28 Nov 12:00

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SUMMARY

The discussion focuses on the Divergence Theorem, specifically addressing a homework problem related to its application. The user attempted to manipulate equations to align with the Divergence Theorem but encountered difficulties in equating the left-hand side with the right-hand side. The user also expressed concerns about accessing external links due to plugin issues, which hindered their ability to fully engage with the provided resources.

PREREQUISITES
  • Understanding of vector calculus concepts, particularly the Divergence Theorem.
  • Familiarity with manipulating mathematical equations and vector fields.
  • Basic knowledge of calculus and its applications in physics.
  • Ability to access and interpret mathematical resources online.
NEXT STEPS
  • Study the formal definition and applications of the Divergence Theorem in vector calculus.
  • Practice solving problems involving vector fields and their divergence.
  • Learn how to use mathematical software tools like MATLAB or Mathematica for visualizing vector fields.
  • Explore online resources for troubleshooting common plugin issues when accessing mathematical content.
USEFUL FOR

Students studying vector calculus, educators teaching advanced mathematics, and anyone seeking to deepen their understanding of the Divergence Theorem and its applications.

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Homework Statement



Hi. I think it will be easiest to understand if I upload a word document as it has some complicated characters. The bold letters stand for vectors.

http://www.sendspace.pl/file/1f830d4ff025d966f71b62c

Homework Equations



Divergence theorem

http://www.math.oregonstate.edu/hom...ulusQuestStudyGuides/vcalc/diverg/diverg.html

The Attempt at a Solution



I tried to change the form of the those two equations to the form stated in divergence theorem and then to compare the u (or F as in link above), but the u (F) on the left hand side is never equal to this on the right.
 
Last edited by a moderator:
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Unfortunately, I am not able to open your links because I "do not have the correct plug in". And most people are very wary of opening links or, certainly, down loading plug ins from unknown sites.
 

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