Upload
tejaswi-nisanth
View
220
Download
0
Embed Size (px)
DESCRIPTION
k
Citation preview
r-> t-,52 ri. 6
/3,+r',+*;h"n /----"----.i:
\\\
\
' k',n"li-<'48*Ji.["^"^n ; Jb,^,< - lsl"-e''^a wi(-/.** x, at 7a,"A',..tat- t).
kP=
: ! :k -2_
Wtss_^ k^, -E;A(try(.1." ̂ -tt t +t p^^t;.J*,j-
tl:'"'-'-:tf.
P,
o
D - o l ,n lu . -v - "1 , t )I I - I o \ ' ' r - '
Pr= Po C(*rx*6,t)
; n r,.r : r t+ rz = t 'oy.n (k ,c1 '
*^* krfu:- o-cs>( +E)
P=2P"6,f (r,* r) * * (a, + u,') e'/ x.-2 ' l.|
' r l , . Ic lD / (K t - kLJ X
tc,t) + t-(t,*-^"r)f
/* ( ^.-8\
7'-B' l,r;l;
--L -
N 4 1 : IA I -wz
2
P=2Foa.(urx- 3t) &-(xrx- +b
L t-.2-.1 .
P- p/t o
Vka ; fL^
(^(Lrx - upt) Po/ = 2Po c" (\a- wr)
(t+y 1."7"..*fl.) "-,.A ft- 4'-.,-Fhl'"-)o , .,U*^fr^ / ^ /-t 'r- / , , I
A-a P> = 2 / /6 l \D I kqV - Qst )
Tl x-.--,-t=--+Pv- d'--c'l- + l.^tn L^i'""a- tu-:.'-^-/+ -
* ( kp xo - ccrt). L- ( kS a- - KSt)
'L-
-T-^* + 4 s lrt'4 t-,;lt' t-7'r-1 /rp.
.1YaD vaj, bn lr
rL /-2.*^Z '+ "^--A^J^J-',5
nn"J^7*bez.j-
* w- t \'l1 cL
= 2l ' lq =-P t lA,-t,o')\- L-J
-- hl-N.
A,(h qot- 4 C',.-+ V"L-;4
Fh^2:.-V"Jp-lt + n- /"-'''Jla'-l- l'"*'
ca^' 6<'
e6.L c"-t-L;d ,lr't-,- t'.^ vADc;5 + rE^ t- a'n t',t-'o''ti'<-
k>c,.teo. tt;-t- t'-'.hh.E lT^ of^^! s+ tL Pl"^-"'e
vetE<:lJ + tf-- h at, r,,.o-;- n*L *,u -
s* t-t'o-
It^ /'rr,r-)+"- l- ou ""t h oo tL- 3 o^ e v'-1"' c;5
C->-r--t: vJ'a ;(t t" fl'^ v"t'^;Q d- \d; J TL pu'; ho-'|-----.....----
S on.,,*i',-,-.,... G-"'l'''--h"<' i^I;'l''-^tz P"'ff; *
f||^ e.,-,r a-|,.F '|''r-1^''\rel ' 6 ",*^"-tt1,i,,xr-^nl dtff<'."jt1
CD AX e* '+ ^f- (c* LP
5c7.- f ,rk"^ + ha'- ''' 'n*i''
&t'^'z
** r*GE 6\;u Ll- -1"..-t2-t-. e.a ,,,b*q +tr- c'-,,;et'
gec* lT- P "-"-)<^ % ff- L<n;n'- f..**--l + ",- t; h"^^
dn- 1-V-. p d-a- o'- a tT.-,J a-PP"-.^ 4- u*li
il- 4.L- Ih.- b*+. ^.-f ll'-''a'ql, ',! c-^'l V6';s,t^ rfL
G-[_ tt \-rt+
wie,.az/ 'a.4
4
l"fz"r44 cI a4^ fF r^4Lt r
( a l' 1 J- 11- 1z,.u:sh-
e'*f?;'"^i*l'
. L L . II h- trr^s
a\^ t"t"", ,,--,o^ """J
e, <--r"---<1z4lt" 3 F"-4OlLan a,-4 l-,,-w- ^
J- a*--^+-^,Yrea*!;e Eho d" ct*.a'f: azd
c.\n'fl a areH fl,.^ 2I-+,'s"-T
I^y-t h^r u
V^,y"-,"tv lk"*?t*
+t^Jc,r-2,.,,-<'lp--a k' tr VL^ t'--'z
J*7" *n s1 fia
6 4-\,o tr P+* t.crnc cf'-"rr'-'. .-6'c Pr.ar L lf ho'-
"{;4 S L^+.-1, t-'?-t-p v* QatA
! l
lt't -.k*-:,. . fr.^ alj-.h'+^ *t"4 "!'
^ k c-^,!; J.d L-t^-,-z p aok4' '1'^--l- ("'
/^.1D 4t- ,vlu*L tL1 ,rf h aa t*oz-;c t'r<"v:
7L! -,-z^A','^.'1 Vik-15
R1 7r; k|LN€Pc'.'lL '- T l
t t* t*-hl-L* N^^A
nY
7*""Y
e)
lF^ vJn;fi
v"L;q 6+
H o* f+.^nb w-1 e-,u/:,^-u\L *,
Ytr^,"'*a,.LL
'I; f''.,-''"-t ,-*/t z"''L oFn \ tlF;U^6 a
tLJ-; U 1','"'"t
l,.D 17 4 L.st e,*-'li P"U'
lf^ t. --+ .r,^f" .- JL.^ fl'."1
"f x-.*1"-5n. '
a-217;.1- fL +.-'^,"-;.s,' 4'c lE'..-t' [r^ Lz* d^a^ppeo"'
d.u * FL'4'."D1"'',,".\s \- '.z"-( 1"7-n-"-k c- P^^r;J-h
,ot^,'-Jl;r,- a",-'l 'z'Lt>'71.- ''''o'^''"' tf a-E'4-7 or^*a
l*f*-"t a; {fe^'^ct<'
@.4 k^
V: ? . , ) :
Vp = Ph ^"-z
vq . C n.*u
ca lr.VaLo iLL -
.J-
UJa;14 :
CJ r t Hz
kt + kz
dt 'N '
k j - k t
( * * ,o ' )n^Ko
6Jg
kg( t dn
L1
R,
R, -t^L; Lnf ,oon^ u.t"-=a:)(t
d (t<vo1 = vs+ R(!k\dk ' 'dk, /
Va= d6 -J , ,
-
* a,,K
N"dr,.)- dvo ^ J l . \ -' - I - J -
d,k " tK \ ' t " /*. / anl
* \ VrJ
Vp- R g_,....= ( dnta^\n" v9z \ , /
,P
( t t rJ__ vP il r_ _l! t7!\l' L Y1 \a l l< / l
v1 .vp-
- "P-
kc
t' - "P_;
/ dn\l - t ?x d+< "/
I dn\\ {xl
I
zfrxn
"7t
,9* +--,."- + nY : aFf,t a"-d ak=-("n/,s')dl
dnT;.6
,c
/azu\\ "in/,r+ ) ( d,+)l
Y\ \ ot '1 ')v3 = vPttfl
Pt:ft!-t^tf- *+ ',. tI- .+vr
t"^ +h'b,7
YI^J- 6".t ox a--*7le +
9-- op [;.. :.-t-
€r)))
ois p tn"-+E-. to t"
W:"+:tY:e:;
Prz-r.Szr
e+:a:: /s lE' fh"non^.'1aa ta ^4rA
( p^* v"u;Q * f,f v"t';fr) "b"-'4(* l-"2.*^V ) ' lt'/'a;o l" ̂ 'n:'5
\ - { l J
v (A) 6"* t^"11 )'t = {(r)l * n (A)
fel>'<..1-'u'<- T-4o""'
a "IL. l.,,qr*Lj \c'w iv^
C--.+-.-v fu".-.O "-@
lh^ VeLa.i'
.<'. TL^
1t 'd- +
€ \ t/ , {11 At
^ I "U'^-* f"F u94il tI
' Ttf < lzva it'= w-tli a'n^^^ l"s ir.rLJ I l}€Y- tr;'l"^'r'u' s-^'- I Wlt *ru
-5. =TT - r) ,A vc-,- - ) ,-- | r*ttt-"'Ivgr
' tm^"+ - v
- ^ * -. I r : !-^- 7
j"ir}"{-,-"-- -- }--** a T*, L^..^,-)A,-qlr_
. . . \7t, : ] ts..)
s^; Y
\rLll l"A^t h^L^k-Lr ̂ ^*1'-n lL
/.fc.lJ /r1 = 9;icY-*< l-e tl
t -I
/ r'A_D I tw1 | e-tr-.-.11 o'n /- a^ft",,-^t-
//.r"^L toI .7 e<:l-><tv-'
a^-t->{ A.;
44^
.- A+
&, B +. b- dzlLo,'4"dt _ .
2* Petu hr'*^a-t bi "a
f*x y-"4"-______1!
( h >Li- +m ., d,^ n b zFn Ln'r1
\ oor.r,--- (,,',- 7"---+y f tnn.l[al-' pszt-,- A*"4-
p t J=.!
+**tr tr^ Lt-^e.
!< .n()r-.) < /h('.ry"-rr-) ( n (AbL.-)Cr;Att*-+)
d.rLJ-l--za '*
u. ''v'wu:v r't'"-a-'! P "1-^"'r:- <o.
cl.,.1
2 aaD pA a,,t-L-1,La cl,i < peri"_ d- >o.1J
c 3e-*"-,1;.r,u ttt"p,"^--,-*" -t- L^-Il.-d'/>
".-,7t'^.,' Zr- '11-
ct a-.'+1,^-7 lr
^ Ulf 4"-,f 4,-----1," /.I
cIo c,-o a,.zz d) s p 2,,---"
; c- rfi Co-| Ft'L ptoI
r Et sp e^--ri- G-'- f,t{ ;
1*t vt-a; t 1
d-pp,'^ ; (en) + z,^-ya<.2;Vt /r^*ole J-f 9r,-^rf, v*t-;f
3"- ryh-.^A F-'L-lr.. /
llLk;4 otr cA>'v---,<,1.>7 D[s7,,-LS c'...' c=e dL Di s t" n''"a,.,r-" \ ,n , -' =ffi+;:Z:_
Jrf e^44- .'.n',Lutro *
S"^a n; n^4t<f*."- C-YA a
. L
o.I ̂ 4!11 L-ft,"\<qlt
^,1-s o , n^7 t-^ /o-.a
(i) \/g
(i) vu
li ii) vs
Vk"-p- ^1 A-{ 3 ta-aa .
r
r
r
.''-Lnnnot
4T >"da )
^l o da'sl€,v-.-.ri^ * =
" a.o Jn Va. cu qm ,
N c- z^"..{. a-i r>p<t.-;,o-n dn < O .alA
a, n e vv,*L6-,,<a & n-h.r^,-n 4n ,,_' n'"Otn t^a i
dn <o cvd^
tA" 7- t\^ CqAz (n) L{L^L
F -l-a-ci;v<, t'^^an t
, hc,\-L.^/21- e7r,\ a-4 a- -l=",^ "l'^r- "l ,{-q^.'."^2.
'f;"',--1.-.f d-'r*",^l (tt^-) a,*p".-*IL ,A-J
^G.;liE.^
a. \ p<^-
V-l"o;Q
L b'e-
J- t.,..."_ o .f"-+ 5 L'y^'t-
( ,:!:t_ !:ty::::) lL^^ E-
61 f,e-c^ ,n ( ^ d 6+.1-
aa- A"'\L"LL/
/&o l,--f**Z G-a) a-1.".,"'-t
o d* pr,^'s,n .
t^ [tri"] T ruatia.
?ha'.'- V"fn cr€
Cc",, lL^ phaar- Vclo "Jb
(r^ lL ffi V-tsc;q-
5,10^h.,.;O v'la;Q I
k&A- o,\r- oUS 7""v+; r'-<-
ets c"4 n^ .>7*a
an co.n-A "t* ,.f 4.d"/ "Sr+?
+ brr'?
2, *^la d) s P <,.,-,.-i v-t rr\aj)' 4 ,1I L
rIT:
/A7ELf(
4'
01.
n.