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picture1_Worksheet 120313 Alt Sol


 109x       Filetype PDF       File size 0.60 MB       Source: faculty.math.illinois.edu


File: Worksheet 120313 Alt Sol
tuesday december3 solutions surfaceintegralsofvectoreldsandrelatedtheorems 1 considertheregiond inr3 boundedbythexy planeandthesurfacex2 y2 z 1 a makeasketchofd solution thesketchofd isshownbelow b theboundaryofd denoted d hastwoparts thecurvedtops1 andtheatbottoms2 parameterizes1andcalculatetheuxoff 0 0 z throughs1withrespecttotheupward pointingunitnormalvectoreld ...

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

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...Tuesday december solutions surfaceintegralsofvectoreldsandrelatedtheorems considertheregiond inr boundedbythexy planeandthesurfacex y z a makeasketchofd solution thesketchofd isshownbelow b theboundaryofd denoted d hastwoparts thecurvedtops andtheatbottoms parameterizesandcalculatetheuxoff throughswithrespecttotheupward pointingunitnormalvectoreld checkyouanswerwiththeinstructor toparametrizes onehas r u v ucosv usinv inordertocalculatetheux rstwehave ru cosv sinv rv andso therefore theuxoff throughs withrespecttotheupwardpointingunitnor malvectoreldis isf nds zf dudv c withoutdoingthefullcalculation determinetheuxoffthroughs withthedownward pointingnormals sincef ons weknowtheuxoffthroughsis i f s determinetheuxoffthrough withtheoutwardpointingnormals byaddinguptheresultfrom and onegets e applythedivergencetheoremandyouranswerin tondthevolumeofd checkyour answerwiththeinstructor bythedivergencetheorem df nddivfdv sincedivf volume n dv divfdv considerthevectoreldf x computecurlf j k cu...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
							
					 
							
						

						
						
						
				

														
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 26 Jan 2023 | 2 years ago
										
										
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																								120313,
											                                        
																				
Filetype: PDF
										
File size: 0.60 MB
										
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Uploaded by:
										Andy yahya
											

												Andy yahya