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PDF-16.7,5Tocomputethissurfaceintegral,wenoticethatthesurfaceisgivenasthep

PDF-16.7,5Tocomputethissurfaceintegral,wenoticethatthesurfaceisgivenasthep

Author : yoshiko-marsland | Published Date : 2015-09-14

f2xf2y1dAp 22321dATheintegrandisx2yzwhichwhenitsdomainisrestrictedtothesurfaceSwillbex2y12x3yThereforeZZSx2yzdSZ30Z20x2y12x3yp 14dydxSimplifyandintegratep 14Z30Z20x2y2x3y3x2y2dydx

f2x+f2y+1dA=p 22+32+1dATheintegrandisx2yzwhich whenitsdomainisrestrictedtothesurfaceSwillbe:x2y(1+2x+3y).Therefore ZZSx2yzdS=Z30Z20x2y(1+2x+3y)p 14dydxSimplifyandintegrate:p 14Z30Z20x2y+2x3y+3x2y2dydx

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16.7,5Tocomputethissurfaceintegral,wenoticethatthesurfaceisgivenasthep: Transcript

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