Question
Please answer all parts to question a,b
Verify Gausss divergence theorem for the surface integral FdS 4 where Fxyi-2xyzj+ zyk 0sxs1,0Sys, 0szsl. and is the outside
(b) Compute the volume integral here. [5 marks]
0 0
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Answer #1

dol? :- Guaiss Divergence Hatement: - het F24132= Mit Mjt pk be cont. Function having first partial derivatives in some open7 20,1,1) TG7C1,1,1) Join tier BE1,1,0) RHS:- vēdv. Ē= 2931-2442 5+34€ VĚ - miten jt 27) (144-2448j +84 €) = (199+ 2y (-2*43)149-34+23 dB {$-3*4]dx +(7+ 8+231 = ţ Itt Š Ils vidroso Step II! - Suzface integral. BLHS:- // Ends heze we want evoluate foI Ends Wh ABGF Consider te sorface OCDE. ein of surface OCDE is azo f = -i - Il Fadla sploito1 +291) (i) dvd OCDE il Endocol@ consider the surface Aoer. ear of surface Ao ef is y= o p ñ=-] sl Fads = (citoj tot) ej) dud; AOEF Érds 20. AOEF © constid© considez He sorface ABCO eas of surface ABCO is 350 f nak Illes ni as a fony23 - oj to i XP) Andy ABCO = 0 I E ñds=o. AB

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Please answer all parts to question a,b Verify Gauss's divergence theorem for the surface integral FdS...
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