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picture1_Surface Integral Pdf 169868 | Worked Problems Section 84


picture2_Surface Integral Pdf 169868 | Worked Problems Section 84 picture3_Surface Integral Pdf 169868 | Worked Problems Section 84

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File: Surface Integral Pdf 169868 | Worked Problems Section 84
MATH010B-Spring 2018 Worked Problems - Section 8.4 Recall the Divergence theorem ZZZW(∇·F) dV =ZZ∂WF· dS=ZZSF·ndS which states we can compute either a volume integral of ...

icon picture PDF Filetype PDF | Posted on 26 Jan 2023 | 2 years ago

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...Mathb spring worked problems section recall the divergence theorem zzzw f dv zz wf ds zzsf nds which states we can compute either a volume integral of or surface over boundary region w with normal n whichever one is easiest to do as they are equivalent by verify for given oriented outward and vector eld x y z solution first will side orem computing have where interpret box product length width height now use description in book unit cube cannot describe equation therefore bottom top back front left right planes s each face k i j simplify using third formula at page dot vectors get fds dx dy dz from line plugged plane into integrand double integrals areas square just calculate ux out sphere want choose route answer this be case if v r let evaluate again rsin dr d sin cos xz b c all these instead paraboloid that opens up cylindrical coordinates so take rcos note also means well values change question it same part...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 26 Jan 2023 | 2 years ago
										
										
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