rt tct n,r'l r,r'/ f,^ t i'sharif.edu/~bahrampour/pdf/solutionsfinal/problem...

6
9 . 7'ylr-"1tt1 \ : Ge. @ crrtrvo)t . .:,1 y=! "( ', {surrrtr,,7r7 e--A 'f;oi E, tR ,-.R')= v^F(R';R'J @ **v : fib(U t,J ,^ aal- Lvv. 1T g -qnfrt= G,Rrt,I ! V. T o I *A irtt C);),tp U ct f fl i--b t-zo / :\ ) 6L*: rt tC"t n,R'l =-&n( R,R'/ . vx F,^ tn,R'l: T 6tR "F'):x'4 rR,R' ) : --" -+v6tn-R'l y.G, (R,ff/= R. ve(R,R'l -o @ (a) -o" o I' V 6^ (?r-R'): o ==> ,/ : fltO a+*oY-tc')ryf9 yxQ.t'Fr-n') = Vxfl reln't o vr f AIR,'R') -TrR,R'r] - c ,/ , 6y'r ',,brrrF *ry z-Y6rotfd7 os4el 6r6,:dI3rc,s') --vF + x"v Y aTxvxT =v (v,T,- vtF : ( clen Jo*Tai I tvi x') n 1-: I v'f -v'A = l- 62r"t\or7ql t t*! d.t*,-K')- FrF'rk- t-vF O 'f/be'eaQ'@ o"&l v (v,F"l<'FI -Ts(R-n') I V 5rn-n't tr,T,(?ivt P) "'I:k'F O t;"#;:r# r {vix't 7 -- -:r5tn-E'} ? i (v't F')f= ;.ottr-r') (y'r=r* aE &( g,T (a -vF: ;!vrv,fr).=['"* t ( 6,16) a b u'nJtt- !" e9 t it< rR': e\ l-l --'\*-j"n,, @rO,g 4q 4r! .:.' - Ge= fr tFi k,t, Ir

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Page 1: rt tCt n,R'l R,R'/ F,^ T I'sharif.edu/~bahrampour/pdf/SolutionsFinal/Problem 6.pdf · 9.7'ylr-"1tt1 \ Ge. ', {surrrtr,,7r7 e--A 'f;oi @ crrtrvo)t ..:,1 y=! E, tR ,-.R')= v^F(R';R'J

9 . 7'ylr-"1tt1 \:Ge.

@ crrtrvo)t . .:,1 y=! "(', {surrrtr,,7r7 e--A 'f;oiE, tR ,-.R')= v^F(R';R'J @

**v: fib(U t,J,^

aal-

Lvv. 1T g -qnfrt= G,Rrt,I!V.T

oI

*A irtt C);),tp U ct f fl i--b t-zo / :\ ) 6L*:

rt tC"t n,R'l =-&n( R,R'/

. vx F,^ tn,R'l: T 6tR "F'):x'4 rR,R' ): --" -+v6tn-R'ly.G, (R,ff/=

R.

ve(R,R'l -o @

(a)-o"

oI'

V 6^ (?r-R'): o ==> ,/: fltO a+*oY-tc')ryf9

yxQ.t'Fr-n') = Vxfl reln't o vr f AIR,'R') -TrR,R'r] - c,/

, 6y'r ',,brrrF *ry z-Y6rotfd7 os4el

6r6,:dI3rc,s') --vF +

x"v Y aTxvxT =v (v,T,- vtF

: ( clen Jo*Tai

I tvi x') n1-:I v'f -v'A =l-62r"t\or7ql t t*!

d.t*,-K')- FrF'rk- t-vF O

'f/be'eaQ'@ o"&l

v (v,F"l<'FI -Ts(R-n')

I V 5rn-n't

tr,T,(?ivt P) "'I:k'F O t;"#;:r#

r {vix't 7 -- -:r5tn-E'}? i (v't F')f= ;.ottr-r')

(y'r=r*aE &(g,T

(a-vF: ;!vrv,fr).=['"*

t ( 6,16) a b u'nJtt- !" e9 tit< rR':e\l-l

--'\*-j"n,, @rO,g 4q 4r!.:.' -Ge= fr tFi

k,t, Ir

Page 2: rt tCt n,R'l R,R'/ F,^ T I'sharif.edu/~bahrampour/pdf/SolutionsFinal/Problem 6.pdf · 9.7'ylr-"1tt1 \ Ge. ', {surrrtr,,7r7 e--A 'f;oi @ crrtrvo)t ..:,1 y=! E, tR ,-.R')= v^F(R';R'J

9a

v,G,Vl= vG''T = v8-

J... -/_*,aat 8L

dP.)

G,(R,V') =

Z*IQ|'J = VxGu

(f O*)

+It l,< -R' I

0Llt?-{V^V:'

t7-,r<')

//6"*'4;t)tf

vr f Ta; = veor7 =>

iro ) G,tR,v')

e^f (itt rF'-n'rl "

:-r.-tRr6'l= ( J +:

(Je:

Y aoY-)

@

-./ ./ ./ ./

-a/ ,t)) owr4,.-'rqit"t OutT3(?t/ 1/'c?'zvst -/ c /,en -T) -Ta,+2 8! (e.:uVol:tr ryFcs i'to'tu U :

( os*:c<rt) : Vf ,t!"

Page 3: rt tCt n,R'l R,R'/ F,^ T I'sharif.edu/~bahrampour/pdf/SolutionsFinal/Problem 6.pdf · 9.7'ylr-"1tt1 \ Ge. ', {surrrtr,,7r7 e--A 'f;oi @ crrtrvo)t ..:,1 y=! E, tR ,-.R')= v^F(R';R'J
Page 4: rt tCt n,R'l R,R'/ F,^ T I'sharif.edu/~bahrampour/pdf/SolutionsFinal/Problem 6.pdf · 9.7'ylr-"1tt1 \ Ge. ', {surrrtr,,7r7 e--A 'f;oi @ crrtrvo)t ..:,1 y=! E, tR ,-.R')= v^F(R';R'J
Page 5: rt tCt n,R'l R,R'/ F,^ T I'sharif.edu/~bahrampour/pdf/SolutionsFinal/Problem 6.pdf · 9.7'ylr-"1tt1 \ Ge. ', {surrrtr,,7r7 e--A 'f;oi @ crrtrvo)t ..:,1 y=! E, tR ,-.R')= v^F(R';R'J
Page 6: rt tCt n,R'l R,R'/ F,^ T I'sharif.edu/~bahrampour/pdf/SolutionsFinal/Problem 6.pdf · 9.7'ylr-"1tt1 \ Ge. ', {surrrtr,,7r7 e--A 'f;oi @ crrtrvo)t ..:,1 y=! E, tR ,-.R')= v^F(R';R'J