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19 Th Gauss Green

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Analisi Matematica 2By topic

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31/05/2023 1)Datoil campo(3,y,z)= (n)[+(y)5+ (z)E,caldare 'flussodiuscentedalla superficies=ee cone = h(,y,z)tR3: xy=2=4,E7,07 Hotd = (E) (n,y,z)= (x,y,z) /ontFdA=()).dudydzTa fe r aT R 3 #-6"(RY)*.=e + = 1 + 1+1=3 Iadudydz=3/dz=Vsfro= 4.8=16 Procediamoda conladefinizione. Or= SiUSa Si=emisfera.:Plus(Eur (4,0)-DdoveD= G(a,0)-R2:402_ci- Dibe①Sa:GEres - I 2= 0 - i=daxda Die= 1 Po= 0 [uI IENTOR Erani= buxPo= /I I 0 - u- I Euh II 1 -2 r2 =(mor)- 5(-)+ (2) = E'=e TrE= Tr ]azitr- Fuun +X4- cr- 4L I -4- =-- 14- 202 Verr SortaA=sdA+/EdASae -Is Ia In))I dud= *(Ig.ja)do= SNO passandoincoordinatepalax:D*= ((0,9)tR2:0t[0,21];0grey =etegrafoe(4-g-ye PerS2:le= [0]to-[8]i= (3)FT]En=0! D Ia= Ss.dA=0 => SotdA= 16 2)Caldarelacircuitazioneallcampovettoriale F(uy,z)= (enice4+ 15yz,xy+ 341+ 42,e4(0248)+ 8xy) lungolafrontienedi2= ((n,y,z)eR:z=9- u2y2,x=0Sy,0,2,0}acientatopositivamenterispettoal versoremore Maun angdaattesoconilversaredell'anz ·02d=1/24xE.dS perilteoremadiStokes #-GR3)OxE=E5 - youby8z IE,F2F3 - -)- F- )+ -)= i(8x- x)- j(8y- 15y)+ (2xy+z- 152)= =(x)+(y)5'+ (2ny-142)FY 709,3 EEse*= [G)Po-*-yeosts

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