Find the Surface area A= SSirlpde f te pertien of she sphere of radins y that les intide the inder x+y ta and abeve the xy-plane. wheres x= Peer o sin g=sing ring 2. Per

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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%A) I,
و اسئلة الامتحان الثاني ل ل. و
ー /ンとハら
A= SSirlapde
QL Find the Surtace rea
of eive pertien of the sphere
of radins y that lies inside the
Cylinder x*+y- ta and abeve the
*サーplane。
where
• g- sina Fing
x= Peet O fin
2. Perg
Q4 Veeter fie ls 7 and ara defined ky.
マ=(はスー3リ+)+(-3x-サャやミ『+(+ザャ)
マ=(ムメーサザーSe)でゃ +ー5スk
One of these are censervative while the other is
not. Deterine whieh Is censervative and deHote
it by F. Find the pstetial fanetien fer
and evalnate:
SĒdr
where c is the curve from A(I,0.0) to Ba,n
* which the plane X +2=1 euts the hemseten
03 Find the flux it Facos(x+jk
and the a n is the diik
**+ys9 oriented upuard in
the plane 2=1
Q+ For FexyT+y'J
where V it tie valume ander the
plane za x+ y+2 (and abave =0)
for
eva linate SSS(xFidV
-1人人
O O
>
Transcribed Image Text:%A) I, و اسئلة الامتحان الثاني ل ل. و ー /ンとハら A= SSirlapde QL Find the Surtace rea of eive pertien of the sphere of radins y that lies inside the Cylinder x*+y- ta and abeve the *サーplane。 where • g- sina Fing x= Peet O fin 2. Perg Q4 Veeter fie ls 7 and ara defined ky. マ=(はスー3リ+)+(-3x-サャやミ『+(+ザャ) マ=(ムメーサザーSe)でゃ +ー5スk One of these are censervative while the other is not. Deterine whieh Is censervative and deHote it by F. Find the pstetial fanetien fer and evalnate: SĒdr where c is the curve from A(I,0.0) to Ba,n * which the plane X +2=1 euts the hemseten 03 Find the flux it Facos(x+jk and the a n is the diik **+ys9 oriented upuard in the plane 2=1 Q+ For FexyT+y'J where V it tie valume ander the plane za x+ y+2 (and abave =0) for eva linate SSS(xFidV -1人人 O O >
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