YXH II ry · ana/\yxh ii tmhma o\zij
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ANA/\YXH II TMHMA O\zIJ<HE ry EIIQNYMO: ONOMA: IIATPQITI-YMO: A.M.: AIOOYIA: @.1 (0,7 + 0,6+ 0,7): @.4 (1 + 1): @.2 (0,7 + 0,6 + 97;. o.s (1 + 1): @.3 (1+ l): 0.6 (1 + l): E6vo],o: Nc ypcgoriv (5) 06pctc fpdgere rq azravzrloeq p6vo oto lrbpo rou und,pler n eKgcbvqoq. fia, zp626erpo XlDqoqronowlote to tel€orato gfX"X"o. Kcfri ezrtolicl! W A nl r14/ '49p0, e fn t+trt;p lwif,,', m t'
Transcript of YXH II ry · ana/\yxh ii tmhma o\zij
ANA/\YXH II
TMHMA O\zIJ<HE
ryEIIQNYMO:
ONOMA:
IIATPQITI-YMO:
A.M. :
AIOOYIA:
@.1 (0,7 + 0,6 + 0,7): @.4 (1 + 1):
@.2 (0,7 + 0,6 + 97;. o.s (1 + 1):
@.3 (1+ l): 0.6 (1 + l):
E6vo],o:
Nc ypcgoriv (5) 06pctc
fpdgere rq azravzrloeq p6vo oto lrbpo rou und,pler n eKgcbvqoq.fia, zp626erpo XlDqoqronowlote to tel€orato gfX"X"o.
Kcfri ezrtolicl!
W A nl r14/'49p0, e fn
t+trt;plwif,,', mt '
{ @.t p-orcr: ro or'1peic 4(1,0,1), Pt(z,-I,l) rar Pr(2,1,0). Na eupe0ofv'Jl4flho eppo66v tou rpryrbvoD p€ ropug6g ra Po, \ rat P, .
)'-^t
f.{fr,e(i,ooror1 tou eznz66ou E nou nepvd, sxc6 ra Po, p, rcr p,
UJ
@4
,16r9
c7.1[lil1.y\no orlpeio (ov utrdp26et), oro otcoio to eu06lpoppo rprlpo p€ opfn ro (0,-1,0) rcar z6pog ro (2,0,0) r6pver-ao-tzcfne6o E rou (ii). @?>
' o.2 | '='o*, ,(x,y) * (o,o)'Eotco q ouvdpqoq .f(x,y)=l *' + yz "'" . E(etdote w \ f oro (0,0)
r-Tt I o ' (x 'Y)=(0'0)
Itfupivat ouveplgL'J W}
ii) 61er peprrcfq zapayriryoug
iii) €1et napdyoryo rotd, anlc,ta rccrtetOuvorl d = (a,,,ar) (ilail= ,["1 * 4 =t)
(0,6)
(0,7)
/^\- / , , \[O.s)ffiE* a f : R + R ouvdpqorl pe ouveleiq F€p1K€g zropayiolou grot u(x,y) = -'fl:) ,r *0). Azuo6ei(r1I t v t l
6rt xur+ fity =2u . q
Azro6ei{c 6rr yto rnv
f : ( r -6,1+d') +R w " f ( l )=1
rcapzr6?,r1 f = {(x,r) e Rz :(x-2)3 y+xe'-' =01 vwpyer" t > 0
cboc va ro16uer UU)-z)t y + f(y)e'-r = 0 Tr.s y e (1- 6, 1 +d)
KO
@
O.4 No unol,oyroOofvo f u / < \
- ' l
i )1=fl h xryrt l%lorl*"1" / t \ J ) )
( l )
Kol xt + yz + "'
.ll, ov n
g)I,,PI n pae" M rou orepeof B =l(x,),,2)e Rt :x,y,z)0, x2 + y' 1r'
znrror6alrc eivat d(x, y, ry = rlffi , (x, y, z) e B .
No unol,oyroOei 11 rotr<),ogopio rov ne8icov toSrtrltcov'ffiF@,y) = ("' + yt)l +(2yt -*t) j ratd prlxoq rrlg rcopnfXng f pe V(t)= ouvi +rlpt j, t el},2rly)
t:1 =- | : -r-l.ffi,c1',r)= Uffii
- rryi
rarl'ptKogcqsropzfl.rls f pe
v(t1=(a+oDv3t)l+@+rytr'\ j , tell,2trl pe f(t)*(1,0) ytc rdOe te[0,2n] ((a,F) an26oioroo Rt).
,fr
oTlpelc
.(tr),
o.6 i) No unol.oyroOei ro ripyo nou erreL€trar ano n1v 66vopr1rqgrcopnl l lg y=ouvtx an6 x=0 6coq x=n.
F@,y)= e-2vnpxi +(2e-2v6uv x+2e2v)i em
(1)
ffinna\0efoare rov rfzo rou Stokes Tu ro rceDio
rcirvou,s = {(r,.t,
z) : z = JW, x' + y' < +l .
F@,y)=(xz -y) i +4zj +x'E rCI,'rnv t,ngovelo Tou
s)
