• No results found

Engineering Mathematics Shidfar Solution Manual

N/A
N/A
Protected

Academic year: 2021

Share "Engineering Mathematics Shidfar Solution Manual"

Copied!
112
0
0

Loading.... (view fulltext now)

Full text

(1)

www.KonkuR.in

دیراد زاین نآ هب لیصحت نارود رد هچنآ ره

(2)

a ) i 1 ' 1 =

f q ^ y

- f , - - - y p

;

" ( x < \

'

i < r , < Y

I

. . ( r r <\

;

\ < 1 < (

r f

i (-\): - t(\) ),,

I

[ ;

a) * 11.^l* 11'

i , - l - * [ ^ "

! q."y

=

l,*1 =

i.\

f ,

tr

f 1 . 1 = - . ^ + r(-^f + rir.^f = -r.*r"l- 1*t

[1-.^y

= 1-.ry

t" 1--1 ;r..>:-\6;;. e\;*!(,,-)

;__,\'1,,

f.^t = \

)(

fr")

f , ,

I t-"y =

l q - . ; =

l q - , 1

= n

f^

I

1,"

f ,'r =

( t{ (,r

())

- L 1

x

11

c) | (")

t ' : ) a , r

J; f,'y=

) ) , l . l

ey

l*r - \"\

(3)

{ 1 " 1 - 1 q " 1 s ; , . r

! < , { < - 1

- , ^ n * . l t ,

r L".

9 ( . ) '

,a

, ( ' ' ; \

(4)

t\ I

" ) |

L

L

I e")

\ 1 ' " ( \ + n ) 1 . ^. L

; i ( r - " \ )

Ur-t O, ! -\: !

-1

7

\ i

) ''" ui

l I I

L

-fI

-i t .

. ^ )

Ir-'

t

\ 1l

r : r ^ ( , - ' ) z x )

I

- t (a <"

i t

J,

,. J^

- : ^ \ t \ - h )

+ , ' " \ " - t )

^>\

i) \ r 4 _: r^ Cc_/ L

, - 1

o . , r =

-n ( r a -n )

r \ - \ I

l ( \ )

\ l =

-, .

\ r t " ) f e +:,.1, -,.;

1 L

lxl - '

..',

i,-.

'

. l - 7 ( \ - " )

i-'-tl ( l*

t

, . t * . .

t.,^-\

- \

r

n r \

1

o y - . _ _ _

l ( _ \ )

_ t l

; ( \ ' " )

\ lt,)"

.',1

^ 1

" ( \ - n ) [ t . ^ ) = t i. (-r)'\

IT-

-: Il ,x

t

, r I h : Y

c ) f , 1 - : , ^ r ^ , , ;

r q a 1 \

1 l

t ^ - - ! ) , ' , " i , * s , r

n r r . ta = t).

- a ]

. , , ^

^ r n J ^ - i

/ . , ^ ' \ \

J

a : . ^ t . d - - - S*

( . : " , " U ^ - t ( . , \ , )

I , = ' ^

, \ r , ^ , a , , ,

- ^ , r . , , ^ , . ^ I ' - -

^ t

, \ " ' 1 , ; " * ' *

r. r".l

')

^

t.1^ r1'

_ \

:^-^ ^, ^ .1r

. i : f-!,,r. ,,i..:,- GJ, e. j( \ - \ ) o l )

-"'^',i^

*r < cl.- !

t

! , : - \ - \ , Y \ c * - " o , r ^ " ^ ) |

' . r . r ' '

' ) "

T

l

-\t',.'lr-'1"'')

--h G \ )

!.)"

t'

r

' - , f . , i ' r I r ' \ r

(5)

I t',,

J t r = l - r

- 7 S,(

<-- i( r <

f .

. l

i.^ <

:

i

't

.. +l:

""=

+J,

.i

( i

[,"r

J" -, I ]

t / 1 ;

f , - ) . " , n r , J r -

" ,; !;,

J * = \

h l I r f Y - ,1 , f ( x \ = - + - L _ - : r n -Y r - r ' \ l T

< " - " x = | . l {

) ( " ' .

" +1,

,r !' 1,.,,1,,

* If

, r r

,

l-\

t*,'Ju =!\

D ] A )

r

(

-fy

) ,+

l,"r , {"

f,.r,l,r

f,'l =

Y - X

" t r x < f

f <.^ < Y

' 1

< x < N

. 1r- .-t5r,, f r-l

l1-1 .-, !! .a

qr-.r; ..., 11 .r Jt

^ :,"$ r

{j;;)""'

A

7+ {a)r -. 11

' f '

' . ) I ! i

!

: O t

- i "

- i )

t::

I

r )

L1

- _ ' ' l, J .

. . 1 ' '

gr -r) c..,lJL a J;r +o

= -..1

f r'-"1

-- itt -q)

r:-+

r,{

(6)

+)

f1

"1=

( n i J L I \ \ + ( r \ t i 1 . r n '

t n = - \ + G , ) { * t-r)n

Y ) l ^ ,

. ( 1 < I

l"

a. ;l ,, l'+{,_l ^,/,_!_r=.

r

- \

, ^

|

r

.,"=!,t,",..,,."^.1,.J.

+-,"",.t-. f

'_',".,.,

^o^

l.n=_f:rs,n

*,1*\ 3..

"

L",r

t r).

r.

)

',.,..no, i,.lll .".,,-)'ys,^^,,."/*

' T t ' : - ''1,>\5.^' V;7r\-l -T

{ <r

_ i

t

) = . : , \ - t * t

/ f 6

*I-!

Y D

\ o

L

- 1 1 1

'-!.|-|. -+ ,i,o. t,,,=i'

t,

L

\ - . : + | \ v \ b n i f(*- ) t i(\^ )

Y

- \ - . Y ' I

r , r

I

^t_r\!_

\;:

f 1 r . ) * r ( r r )

---- (

t ;

) [,.n l = ^ _l c"s 17

r

) = { 7 i t i l

, [ i

'

I

l r c l 1 _ s I

i t ' - i 7

i

- r i

r

\ I I t l . : I t ' r j . a - , , r q , i r - r _ I

7 l

g.ir

=,^+

, \ = l h ) . J

r r .

=> - + - \ <-:x

l x ' " *

\-r

(7)

,",.1,

"

.!"

\ - r

T

t

\ , ) )

t

c..s Ll x

L

[ t " t

-l -l r r

1

;

-| =\ =.r,'".-l

I

o

-_ -_ I L

r l

: l

t J , .

;

- !"

L

- , t

\ l - I \ I l t " \ h J

-iL:''^

5ln la

Y

- ! r ! ' ; i " l Z

t l i

."s .11 x

i

.., Yn*

)

1t

b)

lr.n)

= 'srn

v \

I

:r" 1l J,.

-t

."" u1 .", 1,f

t

t

..-. l'* *) a

.1'. I( L -'11\

t--

"

L ' r 7

L 1 o

" L l

I

:\ it ^,'.ti,,'^ri,'r1",1d"

{ :

(,i+0

- ' L

'-,:l

i l L

l -r L r \ L r n )

r f t''t"

- : l - - r - 1 Y i 1 1 |

. c ' \ t

\

I

; (

z

; i ( ' 1 ' - \ )

L

L

'- r" If{

L

il"

il:

iI:

q

. L

; : ( \ r \ ) ( - i )

Fl"l =

,!

(8)

c)

" < j { . < 7

I

. t

= : \ _ : I r i {

. ,

- -l:

\ - ^

\ - j

- "

a

; \ :

:

j

J*

I " . - ; \

"'=

i \]

(i*")"r. + 1i,,(\ -r\).i]

i f c-'t"*' r,i"

- < | _ _ + : _ : 1 7 L \ + v r 1 - , ,

clx

, ; ( . { )

""'

=f

-,.

"(,{.<\

\ (a < r

l \ . i Y i i " \

..=

i ). +,.)

J". ) .n J,, _ ) t_r.) .tn = 1

, \

Y

"".;

I

r( <.; !l ,r J:,. _.

1), t.,,"t c", \1

,,r J,r

-f! -. .'""',i .t\ \'

-\

,nl

I

,\;J ..'+1.

+

l'^*'.y^ - f^,^, _t;t'-.T{l

= [: "'"? r rli ., -' -L-1'* L '* ^r !- {'. .r!i -.

[ n " r , r r ) I \ r r ] j r { ^ , / - , , ^ _ j V , ,

,:r-4 *,*^.{ +

1r-;'..'

i ] =r;it'-,? ..,.

l.>!\>

o^--. 6,r,!t: ,-r"- n /-o

.*:^r q(-_"

:-\;^,f

t r

"'

- o il

-lrc, "_.i

_ .).1 _,) ..,+^

-,

,,L rr__

[t'r =

|

; L d-^,,y'"','^-';,n,?'\')'\N(\L

/\' r \

(9)

11*

L -t

'-- L ' l

I , , L

\ " n . , "

! 1 , , J ^ . - I - \

. ,L/r

\ , (

L ^ t

| ..,',]x

L

, ( ! ) '

I t _ , t

L

- - !

L

L

"1

T * -t;L;

t

:I

( l -L . ^

1 r "

\'^-')i"

\ l . a \ )

r

]_

1_ .",

,,-,i'.'

< l

o) I r,.1

--L

i

z L

= \ r i r \ : -" ' t

! ^ -' l '

s , \ n . . , , _ \ - - _

' r )

f ' - , . )

( r ,1 :;"

dnr

'

:,in la

L

1,"

a)

f,*l =

. <t{ <1

\ < i <\

: f)u-,-!o t--r ios,L.-tt'

( , ) _ . ' Y ! y ^ , 1 )

1 r " , ( r n - 1 1 t u

I

\ - \ ) _ \ L ) l ( n 1 - . . - 1 ( ) (

'1"'J

; ( ^ - r \ i 5 . | ' 1 t \ ) 1 + i \ n \ Y \ - \ )

'",\"')'^1.-. i I \

,.,.,.,,"1 1i

; \ t 1

b - = r \ . s t ^

a

)-^ + Y )

r (

^t

i ( " - \ )

=r

\

(10)

t r - t : : i n

J) f'.i-"'

: < x ( n

=

t-!r.)

--.'

' /

t

; \r'

i+

rl

Y

\

I t

( d s

1

o r r r

t'/ ' l;,

-il

+

't :.j:-.

J

.

-\\r!-,

- , " ! -

* ;

J

t ' - t -i

+ .

J

r l & , . _ i l i

1E

t,\

'

1",UL1,:--(

l^ = )- '-^rr,,

, \^="

: 1-\_,r-.-ri,r_,

:\_ i_.

,

( n

< . ' ; n , . 1

c { . , r

= ; ^ \

\

[ c . . , \ 1 _ r ) . r _ . . : y , _ , , ) . . ] J n

. a . ' \ l q l n ) x . * --'

. " , ^ q 1 - ^ ) , . ]

t

- ' . . t h i

a \ \ 1 * - - f r - , y r , t -* , l l

. .

|

\

\

l - ' l b ^ , , q i

. . - l ' :

, \ r \

. ,i*." .,t-" ) 1\,,\-,ut) ( | t t a 1 - \ \ ) - - -:: ! " . 1 r 7 {

a t

c " i r , r , . 4 1

t

. t l ; i

*

I

_ :

= _ !

L

n - ' . \ ^ r - \ I I

q" .- ,

\

, ..-,"

".

,l

)i ).

^

, 1 / l

* , - ! \ . . . ) _ 4 , ^ i )

--\\

t

7 t - , ! i ^

_ \ I \

_ l l -, L / ( 1 n > \ { / U 1 c c \ ^

,,-'-, -tL

"irfi'*r c=*,; l',* I gi,.,"'t,"1 = *7 r ; _, 1

" 1, "f _ I

f , ^ r - I r l : ^ . ! r

I

\

l - - _ r

"

- ,,r1.

.\l

(11)

- t

\ A f I . - , 1 ^ / ' t ' a ' L " , , r Y A r \ ( . l : r I

- , - i - . .

1

' f , ' ) x = l

l i i - l \ - l

_,

--t -

* '

.

I

'

t

..

. t -,..-l

; . ' , '

y ' t , ",

J

\'lJ { \

n - r,! r

\e

/.\ . \ . / f

._\.Y

F-=

l ^

r

G

f

"ri

rt

' r ) n r '

l1r -.

r"- nl

.-/'.'./

( - r l l <

, ' r

' \ .

" - : l - L - - i

l -r : ' a + J + u u ' , , r

+i

I \ ) . \ j = t \

f

r ) x " l

- : - L I

' L

' ,r. \ j l . . - . ,1) t! ( "-.( n c l ,1 '. )

J^

t '::i

^

n()

(12)

\---(,\r;-t-!, o_ t * -,,..

K < : 5 \ ^ - \ ) . ^ l t q ( " - r \ 1 1 _ \ ( ^ - \ ) ( \ I I | . . . t , l o i ; o r . . o . .

-e - \ . ^ t ^ ! \ \ ' ^ . r v \ . r ! .

, t . , 1 . { . ^

. J 4 ( r \ + \ ) i \ \ , , ( . , ' ? n 1 \ \ . . . * t ) t t { - \ ) 1 . 1 i o . \ o - . _ c . . 1 \ , . h \ j f l . l l

, - , 9 . r , ( " -

\ \ " . , ' .

-, J

9 ^

. ! : a i . _ J _ . ' ' s . n h . \

t'

D,.\ = _l_ \ 7. <e'. 1 , ) "1

_ Y \ \ r

1 J I L

- \ t

1 {

X L I , r l i " r : ' : 't \ .) I !-(\) -- t( co,\

-+ \^ ti{ 115. I

1r,.,1'

Jn = L (? * i,t""'*ojl)

d-.r I

!'

t

..1..

I r')

t

- + L". .-., .1

/ i c

-l - t " r . i

* o " !

o . ^ c 6 : k "

+ h , , ^ u , *L !o.c.:1^

^ : 1

\!'^ -.t^. L h.. t.J

[ t r t

r

. ^

, L ^ ,

r

J l ( - t d " - - , { + B + C

A _ I

" .

" l . n

_ _ q " ' I

I t , L * ' t t Y

o = \ t"" i .n.", [,^ a u^ r^!.^)

- l

l^ : t (""

' , '

L",. ..,

T"

. . ,

?

,'

.t

: q. l- \ ), o" .,,f or J", ,.\ i,.s^+" l"\ _" _," _"

) ;-r, J

t 1..

+ \ b " 1 , . k . I I - ! - i r ! , k r + ) .

"l

Forum.konkur.in

(13)

:r!,-!L"'-, t -

: ,

, , ( \ ,

f r-t\ L.^ ."..[*. L L^ ""\."^

=r\,r.'"i,.."r"'?"- )(t'']"1"'

)J(

- , \t i

'

( \ q .ds Y'(

! n " " r * - r - ' n - t i

\ '

o ^ L ^ ' : a 1 r " t n 9 * f ' = r ' ' " =

J . . - , J I L - - " 1

t" =

J,t-i

t^"r^

r -)' J* -,lO'"* - -r

\"'^f-*-' ) ( t,

5"

I

* 1 r.'o"

!a" +') Jnr

- t -

, t

[_ \ t-''.in'')1 {,1 ' *

- ) , - L

j- !'.!'.

"'^f*:*:1"^'

J"r -lLL:

-"

h-- ' L + L i . ; 1 b " ) ]

A t R r (

=r(:i

:, j, rl",.,"

=ii,,

. r - ' L ( o / + f )

r

(14)

I fl \ u----t-LL rr

' ) ) ' ^

L n ( r 1 z ) _ . - { *.,

.L, t - , t T t Y

Y

I r . 1 1 { \ r

-" \ ' - <

)

]

: ( . , , " . . , - . , , . ;

i \ - i r \ : , . ' l . v , t ' ( r \

T

\ - r r

) - i e ' \ r r ' ; )

t^

= [ ( i "

t

{ , . ' ^ \

' \ _ _ /

. - r

- i ,

I t t { \ I

\ r - e l i _ _ R n l L , e

-

'

r

\ ' h e n \ - - \ ( . . n \ / L

-h (

L

- f,i*'

,

- I r , - i t r

- ' ^ \ \ - < I

i)

1 / l

( r . - n r t

' ? )

t .-*

I t n . , e t \ \ \ - i ^ I T

Pe

' ( n

\ , . , | ) .

- A

< " ^ < 7

\"-,,;a

\JL- D\!L^

( , *',;)\ 1 , , i , r i l r . / - t y \ \

t " \ i + e

J _ , ^ _

\ e . l

( e ' r )

/ - ]

I

t-\)

- __:_ ( (o! \k +

r .in rl)

"

\ .

r r

-'ie

lL, (.'(,*. j)l

- , )

\

(-rr"

*' ('r )\

= . l - . . - ' < - ' ' r I I r i \ r b \ \ + e I /

: L ' (\ .,

" ' )

(15)

-rt,r=1,

" (',( <

q

| 1--1

.. \,.^.i

llr- r "

' . 1 t ! l c I ! . . : I - ' : { ! : ' A -I \ | ' I * - ' " ' - * ) i ) o ..,( ( .

t) t,"r

81..1

.

"

i

-I r,.*)

. \ , - : o. '.1"

t

L(n '.

7 ) .

( 10

- \ l l

r \'"

^ )

i

L

I

+\r'"

^ . . . ^ ) ] :

*1

"" )

.", ",^,.'

J* = ! \ J*.-"."^J* *

'1 "^ - t q (- ."", *.,', 1L;..," w.1) 1- : _ (-r G!(.ri\ + !.r i

r l

A ( ! , r ) - . \ \ \ €

\ f t*

=;

L""'

1 x(-\) -* \ *t*t)l -- \ r

t r w r . . r t , t / ) i

I

Ir

*\*

iJ

= I

t

[r")=

c_\-I

'i

*=i-er"r=|J'

,,l

; "<')\

<..

.. , .-'x L,. =

l f ) 1 ( ' , . ' ) : F t - \ ) a, .')'. !!' + l \

,.. I

t

f o r

X L . ^ /

(16)

cr) [ 1t.,,)

{ 1u1.

I i u ) =

L \ j t = r L

r t "

. \ \

b i .

. ^ ( g \

( ) \:

t:

a ( ! . ) c":

" a

J " :

c ( ( L L ) ( . r c ! . ! \ J , , c . ( f r ) :

.\((.)

..-,

",u J,., l_!1, i,t,

b ) .

'!) \--\. o'L\ \ \_a)=t \) nL, -\ \ c " s u u J L r = o 1 v r ; <"s !,: b y, c.ll

a 1t' ) c..,ul

1 o { , /

rr

( ! ' j

i)

' : ' )

=fr

\ , , \ t J o ( q ) . r i r v , r c A !_ . ; -\ ( - ' , r : r n t " : ' , r -\ a , . , . . 1 , , \ F ] . . t \ , - l { ( t ' ) . . \ ! } -\ c { r - t : - I , r ! x + . n r

, ' f t " l =

)

o * 1 - 1

. " , . . " 1

" 1 ,

, . l

1 * *

r ' u

r \

J

.' ,,.i <", ,'',,.

J." . ) +. A (c ) <.:

c { ; \ ' 4

!! >r . >.,)l-,\;\r-

x J if ., * i\ J"" = c- (

'i ', ,,...,.,{,

,

ft -.,^,,",\

,

L L

I

l / 1 - r - : . \

-

L -

. C . \ ( r j ! . , \ l -

- , L \ ( ! ) r L : n r - . , i j- _.^

o. (qr) : [ \ T / - / * 2 f 1 ) L \

"i.*,\rL,!.

t 2,,,, g- J' '

! ,f;,

=

;r

l " '

..',, Jr.

-( r ) -(.1 ti''^ I _ ) c\(q) n s\.^\.1

to

J

( r u , ) c . \ r J

- c\ (uJ) -) 6. (u):

,\ol

(17)

i f

Ir*r =

Jt"t

t w \ \ r e I b ( \ ^ r ) : -u r - r 1 , , \ r - ^ . b ( u r ) = - \ 1 e 8 J , Y . " _ " ,

- ) \ c ' ( r ! ) - J

c r . ( t r r r ) ^

r (

Y L , I D t @ r _ * _ , \ \ q I . , . . . , \ u . . ) , y _ \ - \ . \ t r 1 r , , r ) , ^-\ I - i . l - ' . ] { ( . ! \ ) n _ ( ! , r l+ (L4-rJ\ L

- + t \ ( * ) - =

* t t

. .

1 1 ( w r r ) r ' , / . . . ' \ \ < c - . ) , \ \ ' i r \ ( (:,{(a \-r)^ 11;^\w-\h

2) -X s*! . .-t !

' c ) : ! l j ' ! \ \ - l

J* =

't_

,,.;" , 1r"1

-- ,l t-l

!'iu,;'. ,, ,1',r .1',

r l

= . L t * l = ! \

, . , , , , a .

. , ^ - . ^ J r .

. i " - [ r ,

t

\ \ \ ) 1 \ " ri.r dnn ' A , L

\ . ' '

. \ ' " . y .

f r,.*,'.,n

"*

- r j

=i)

. t 1 - \ ^ (!r i)\ . ' i \ . \ l 1 . r , , i l l i ( I I . l

r )

.--)

r)r

c o : ( ! [ ] . G j ! \ \

l \ \ > a

I \ . \ ( ! , ) c ( \ ! r \ . l ! . 1 {

+",."

I

i

" - l "

r , . l = . . ! u ) = L \ 1,"s,.',

- t J a

7 ) ' 9 " ' - - ' /\ s, ) , \_rt_J ., ._ - i , \ i l v \ : ! \ , \ ' ! . 1 1 , t , i J ' / l C " Y r ) |

..- 1" - r; f

--.,^

r.,;

- r) 1

.^t - tr.^) --.' \t-t-.

, iqr..1

r ( ! u r

1 {

- l l - - l

c - , - ' , , 1 .

=

\ . ( . , , . . ,

J-c " i { o 1 . " i q t u ' ) ' " ' t 1

! \ !,.., ,.,., u.l" . ,\- i ti

x ) -

) : ,,.

7 . l i i > , ^ ( v i ! \ ) r \ _ r t : \ _ . . ^ 1

-iP

tr-( " . , .

J .

(r (v-.) = q ( u r ) -\

(18)

c)

q ( . , )

-rI

" ( i \ < \

i .

- r < . A ("

,, .", ,_."

J. _

ui-).-<- i- ra>; L , ,

7 x c . r q x J . ^ - Z . * . J

.,,J

)

j

l;

t"

\ "

I

l

-a

e

\ \ '

V )

f\"

J,, =

n J

t

- J

5 ^ q I - ( r q : ! . : \ r \ r r

.. 1

I

>-J !.-)

\-\ L_,,L

j + , d , , r l _ \

o , ) r i { : e

r 7 - 1 1 i { ( x , ^ . l ^ \ , < q .,1r.

x

' . , ' ( " ! \\ ! +-',rtl\/

7

5

fr,.1

-x \ r(-r)"

t'^\tr

\ + r ^ . . A \ " a - , * " ' \ - \ ) : i \ ' ^ Y t e L . . i ( ( " - ( \

- +\ .

'^t

-(a * !\ .'t

n i / , i n n , ) \ ' " "

li*

; t-'l^

l l

t)f,"-"

, -x<*<

-= L (. :- * g.-^"1 '

r t r \

, ^

r ' l

J

- 7

=-ka

(.'"'+a'*)-l

!.",

! " t n l

{.,= L t-,i

- \v I

www.konkur.in

www.konkur.in

(19)

,,-',-l

t / r \ r " r - ' ! \ r

- - \

r

e

( { \ =

r ( r l i - ) l - l r + , d ) t r . r

I c

- e

I

L t f r a ]

-c\

a )

r < 1 ( , \

-- \ \

e (ur) =

Y X

c

nl.

x(r ,. a\ )

I

o ( r ( ( (

['^\

t*

t) +,*r=

|

t'

- \ ! r ' r \ I ) . (

- t

, I i-''' ,

- I . - - - a { \

i,

) ' - { \ \

rf,

' 1 '

l

I . \

e

;i

\Y -\,,. ) \ Y . , ! ' )

( ( , " ) e

J . "

Ir")

(20)

. l,'

t-:-ztJ'F\-C-;, J

\ \ " \ ' .

/"\ >

--\J aL,/ .?

'. ,,,.\\- >

"S, d'i\t!

u,'L dt<

; o ) "

dlA\J^'t:

= <c: vll Cr ?,

.- \ _"-^I

B1. J

q

,^.".^

"1

\"' - )

I

"l')

r::"q

i f"""

' - ) ! 5 \ > 5 F . 5 > \ , - r , . ^ - L ^ - c \ 1 . r i -u P - ( , \ J

-*

,r, ,

€ bv! . + \ l q L _ _ , L L 5 , _ r 5 > , r , , P , \ * : ^ , n A c { r : u Y . - ) v o / J : , ' - o n , :) c{.\: - o. q <11 ( . " "

c[.i = :,nw.,r.l.,i --> '', .

- ca5 |'r'r{

c.-,,"-.rr.

Jr.. : L\v

-I - c\i\ : > o(r\: -(\<

r r \ \ : " n

"r) - -.^ ) ^ ! ' . \

-l "

- \ - \ !!

c.\ .''A - 1

- ! \ r \ t t - . \ ( \ . r ' ! J \ - o \ * . r . n * ' n J * - d y \ . 1 l - - - "

<

: i " , . , r 1 - L

\

t

-' q -' + v J l

| \ : ' " f

l r

' l I

l = l - t

'I 7

;\il

Forum.konkur.in

(21)

rL!\,-l Or-9o1-l-

\f

.1"

) . " . , " *^

r l = / ! \ t 1 - r

r \ - l r \ { I

l - l a

J . \ ;

i : ' * r r ^ '

I

J . - . \ w

Ir'

J

r - t : l

t . l t

rl r i

.L

I;

=

F ). _.1:rr_

_ E .| f"-, i:,r;# * \:;$ ,.^ ,r J",

=, t \ t,,,J =p t" ,r

(22)

i

*).,L-,t rl>: ,Y--jZ>_l ,JtIl ul-,,| r

, 2 ( ^

. i - t l ,

) * J ^

.i-\_,!^.)/:. d,;-u:

( ' I - b ^ r ^ , ( o l ! i \ ( o , r , ' t ' ,

--f

c-.1-

-,- 6-"-*i J

",

L r _,

if-:,r-

r.l=1

..-l ..-l j . . . - \ \ - \ ' l / - u ! r > T P . ' - } ^ ,

'111

I1

) , , . \ A J r-b, \ " Ltl>-_,r ' 1 . ' . Ji,-.JrJ_lA

.;,J,

. r , ) , . u ) t s p n _ \ _ . ) , , 1 .

;

r ( > "

;

^ <"

e

oie

- _ -

( " _ r \ =

f i ' ( \ r i . " , ) '

d'-,= rt'1L-1

) ) ' ' J ' P - \ ) - \ . . . * r ) " a , \ < o(r = \

f i ( i . , , )

I * ( ' - ' . )

)

\t)t tp e)rt +p

q ) l\,).

e

t1,,"]

=

r;:

)a-

#I

I

t=

n

r) r,"=[

(

r ( "

!\

l \ - \ a ) < . e I t - \ , J ) 1 {

't-J

J

-(

l:

.1"= \

fi;

_ \

a;

( \ - ' . )

'l'i =

fif

r-,'

(23)

- , ( r - @ )

, t"

i- rr. ) = I

I

)

.1,.

I

I,

-!- t- .

J ; '

i ( \ ! ) , (

e

tlrj =l-\

i^,

t J l t t ) . \ \ ' ' ( ( - w ) r ,

' - -

l €

" ( r

i ; ' - - 1

\ _ / l ( i - . , 1

L \

\

r ^

\ +,'. ( Y- w)

t* 1r 'l1

]

t-.t n

e l )

\ 1 x

r_l

( l a ) ' l

iLl"

#\: "

it;

X

t,",

.

I

d)

;l

FI'J

.

I

t L'.",J

[ , * r .

i * "

F if"*r J

n I ''''l -'

t _ \

"t.

1.---

) _ - r , _ \ ) - ,

.L''/

i\-c), f,"r, ,-, ui- - f 1

- i ' \ ; i . . 1

i , ,

" 1 r

J G , , . )

{ , \ ' -) { , j J ,

-"

r \r,,.

f . ,

,i r ) .

-t \ -t'"'l -

#\

.l

I r r

\ ^ ] , -, . "'' ,*

(24)

i

.'t-.;

t\d)

/Jt )r!,.ol;

_y

. u ) , q . r , , t);

r(-F;

)-.-I ( \ ) )

I

t

\t,, "

\ r ( n ) e ) )

I

-[,.*

r

E;

__\ _- ^ i:\n I ( ' ) < < o \ i \ [,.") "

'""

I

t.-")

r.

,/.t

J"

\ i ^ i \ , c c s c \ r \ | ' - t ) . J t p , _ \ '

,t,liti

e l l

t,r-\:

,

x

t

o t))Lr2-,t

f ,".,1

{ t") =

.=- I i.^)

:tl

!,.1 -'..* ,l*

{ I - t ' ) ' i ;

r \

7 ) , I \ J ( \ w ) c ' :

Y [

r

t )

\:

J"

J

= !i.".

1 )_ , \

-r...,

=

I 1

1_

T

i r , )

'1.t,

'

ir \*\--\ -)

3 i . ^ . c . r ( - ' ^ \ I - . ( i

L

:

x

z

Y r I

(25)

" ) \ :

I

L)

a r r')

t_

. ) " !,J 'ii{ .rr! olur .- 1 l i v r t r

\- I .

u

";. *.,r ..1

.

J r

. t i _

) " 1 . \

'/..',/

,,;-.lJL

c,r. rlFr .rr ,, 'Y1

i - "

' , r \ r -

iL,:)l--- l

'

Jn

J

- n \ \ + i u ) (

J.

I

. , , . _ ! . ; , 1 t u - L \ _ . t r t _ ^ t \ +..,t )' . \ * . - : - : I : < r - r i c , , \ / , ' i ^ -7 . . Y

, \ \

, - r ( \ - 1 , , ' )

" r t '

' ) .

- \

' J

\ <

+ \

I

t

) r \ - " 4 \ r l r ;

-l-r -_

e "

l i r l i r i .

) J *

I

v

r

Y i ( i ' - \ - 1 )

[;r'

, - ' ) =

1-'('-;")

- .

\ \ r t t L l l l

I

f ) c , 1 > / . - t t \ r*,,u) 'l€

- l

. - - t

- . L

l I

(26)

t ,'"^

t\'l-

J,. -_ \

,i) i,-, =

I

t

r

\u.r -i;.r I

I

l - 1

1 u

)

6

\

- i . , . - i ;

t - t

G

\ _

c;

- - \

L)

,,",=l

.

l \ i ( x "

\*\ >

*-,+\.

'\'l -

r-- \-'

M

L,-\ - \ ! ^ o I \ - r \ . € _ _ \ _ t r r l ! \ J

- \ f I r - . \

/ i l L * r

-.\ ._

+

( ' l _

- - \ ) ^ u : r L " i ; . i r + _ @) !.r t{_ \ ! J - J l n - ( . i u - ^ . - i \ a - < \ ?

- ] -

_ ' - .

l

u ' i u ' ' )

l-r)\

)

rL

, j tt)a Jp - '

j :"\-'!

,a rlrl.)-'

e r P A r r \

l ( ! ) <

J r . = ) t r - r I ;

r

l[-1-q'-Ji"\*

L , i { . , . _ t . I \ t . . r | ' \ , - ) J _ i

=. "[T | {r\

L t

-V* o.;', -! I )

(27)

\ -

+ - \ €

f / _ \ ! , ! r \ - , \ t r Q ) r l ! . _ \ _ ' - _ t e t ' "t'- t,u)'l

i,* \Jr" - -" )

! ^ t r s j ! ' ' : l r ^ w . l _ \ t . r . . . r

7 f,*1 =

,r=

\ .

)

tL''1 "

.'{{

{ ' d ( - ) | ! - : ) , \ W r L r ' r r \ ! l - 6 . \ - * J

= 1(,")

57

.1*'

? t " t =

t.',)

1( \,)

J u - , t 7 l

. - , . . r J ' - L ( - \ r ) .

' -

- i ' l

T

o ; ! t * 1 =

_ r . ( ' t t ( l

"

1 \ > \

\ ' , J \ r ' , " ! ! ! \ . . \ r \ ; , ! - ' ^ c " \ ' ' ^ :

,!

l l r \

' <

l !

f ) - - J n

L . { t \ . - l L

' :

l )

l t

i i

. " " . " \ _. t!

) 1 7

1'G

'""J = 'r t

'::\)r)

=tt

g'z_\ ,r., O -

,. r--,r - *-1",,

-\"\

I'F'"

t;

|,",-

f--.t;

,

l'1

'j =

e

( ' > ' )

F. ir\- f

( ,:'. ." > u: ,r . ,* .., ""r'r\ __;-r

(28)

\ { 5 . . * v - 1 . . ] - - ' - ' . ^ [ , \ . ^

r.\f\ =

a /- ,-2 -\r.\ \)\ J). rp./r\i-)! e . . - - \

. ( ,{ (, i. l'\-" =>tdt\. [i\ ;""". . .

..f o't .:-Jr -t'

*T

e\r

f r

t - _ - .

L t . ' . r ) - t i , J + ' ) r ) - A | \ \ , ' 1 ) ^ : , ) e < 1 ^ ! J \ - - l - \ e - e Y r ' ( \ - r ! ) ^ \ - t L r . + t ) t \ \ < r e l . -- - \ \ 1 6 ' t \ l \ ( - \

[ "

- \;u" *

:. r'\rJ

- l;

[ 1 . 1 t ^ - 1

=t!\ ir

l 7 ) - r A

a e

I

J,'

t./ I

J t

-9'.\) -

--i-

-u-i-

i,;s!\

2 z_,

t r r . ! r r , , i ^ + \ \

-) F;'\

L"i ;9L3 t:

f..*

o-z

1 , " ( ^ r + ) 1 \

=tr$"rn\ -

i L ( I \ e - " ' " n )

+

iik+\).,(

L €

l = ^ . . . . : : 1

: - - . 1

: ' . \ ( - \ ) l -

\ s

- ' )

-L

"

: D t " r

=

-ira.

:

^ <

= t 1 L 1 '

-\ + -\ ) - G s k ^ ( 7

.l;\ .-rL, L;,, qf D"",

(29)

9 t " t - * l t x r u ) D , n

! . + w )

: r ' \ ! ( u \ " \

1 , . " . . - l D ^ , . " r * t

- f i-l 0.r" i

, q q ( g r u n r ' ) l l t - q

'.t :

q< >o\-:-r !

I r\ .,i,r K/r \ : i ( a \ \ . \ r ^ ( t . . r - . - , 1 \ a ! ! , r ! \ i n tJ,\\r1 . . r t , .--_: j . \ . 1 ^ u , / i

^ i ( , , )

r ^

. r " \ ( * , r .

-' - i r -' : -' -' ( -' \ - : -I \'.n vr/t \ ri^!-J

.

' . . ^ ^

. . { t

- L , . , , t 1 \ _ * t

-

\ : , , / r Y

L ) ) \ i"^ t u)

_ (.r.1

: \ ( "

1..;",

^ l r . . " r [ ^

)

-. "r alr I

l,.*,

t\,.,*,)

r ) 91'1--

k * * * ) b ^ 1 - * " 1

\ i s 9\i) - c)({-!) - ! . f

= \ , ^

l f

( - " 1 . . )

b ^ q l . * *

_ tj^ (^) k*)

= i , * ( r , , . , - ; o ^ 1 * , - y

, )> ,,- :

c,,

U : ! ' - - - ! 4 l { - \ _ ' \ v '

,L,zL

ru- i t. * ,.,; - f,-1

!J

i-- Ui:- .,.,.,\ 9 -,,

-z,jo urJ i,- .: ..))/;^, .

f

-rD

. , . ) ) ) ' , \ ) r ' , , r)\ ' , a \ -'.) )t)'> r' ) t . :>rrl J,,* . , ,\ ( \--,

_ i l : al.

- - l !

i-ri.

I

t ' . .

' j - .

['-l

(30)

- ! - , t ( h - r )

: -- ,)l'

D-tt) Jr

' :;

-'-= # !; !*+ r"(^,\)rdt

-*i..

, 1"^ ,2, '

.l

(31)

\r,\

, 1 \ I ! r t \ ) f ( " 1

-l -l - - - " "

" - , Y ' - \ n ( /,1

!,

- Y ) s,-\t

, ; ]

\ \

\ t o . " t 1

- \ I '

t ,,,t d{

-5 { [ I

,lt-

\v\ I -> -<' -) p(41 *)o

*\e(*

<!

\.i"""'ui

l

olt

" t \ , i t . .

,

. t '

+ L (Li \i ) i ;; ( { 1

u*)

(

^!-' ^!-' ^!-'

v \ ' ' . ' \ L

' n

l

' ' ' '

\ ! ' - . r I - . 7 . l

\1,\ ,<!\

\','..,-1"l\...'lJ,<'

\

.a\

\ ''|1" "1,' \: '\ '\';]

1 1 ' L ' _ t I L - 7 r

\t,\ S:

' \ t

\ \ r1".,1"t' - 1 ,\

t ' .

"\ "\

r '

- I

:11\rf.."'

' ' ",)1" I

{ LL-'^

i \ ' r 1 r

n \

^ \

i \ . Y n ' ' \

.= P ({)

_ f r*)

=5 \r-

\^s..t

\r, *\,\ ,<\r,l

*1r,\

- { . +[

\ . ^ \ : " 1 ^ 1 - f , " ; \

(32)

(t>,-;l- \ -' -,) (r, .\- ''-Er.

*

c . . u , ( ( , . ) =.^ ( \ -.^)

ut\'r.,.) -

"

".<( (\

< - - ) n - - . n 1

rr I r-e1 :"n

""t

,i,,

l+) -(r-r*)(S).,,,

f . * r \ l

I'r(')

I

lrt(*,"),. ._:

\ f . . . t r l - - j - " I \ , \ ' ) I ( . i . r x r . t r ^ n4x \" 1l' '

\ \''r r ") = tg;".r

. ( . l - ( ( /

&t.t l,-"*)- "^t/!.1"_\ ->.Ls-* l- fr]"

'i_\,r:\;.

9r -!_L,9.",:,\,

u.

A,

--: > \ \ q ^ r 1 ) : q , ' t t ' r I co; et : Y c:j (t .n{ \

d\l -.r).'

r\

' lr'

- " 1 )

t:

\ n F ) '

o n = L

(",,)

r

u t . r t)

--\ : - d , --\ 6 1 * '

. J 0 ( e , " ) . p " _ L q , - f ! , j r

r '

-.i-t-r-a'l):*2-2r;&1,\tt

j Gf,r,tri;;."rs _+-J-

rlu,-,l 3 GU,u* _r

(33)

I ! \ < ^ < c \ \ 1 - 7 ) d ( ) ( I t

IF"

I

1,5

\. ,lt, t" "r

*"

| - .^1n.n \

n \-

" - J

v r . ; , . , \ l \ I \ ( \ ! . r ) ( . G . ! ^ v \

- l\

^. J\.t;L-*,

\--^ r-

I

. J ^ \ q , co\ r\1 r{ v\r\

\-.r1".

I

r I k

o 1 -

" -

. * 1

(" -r)

"r

Y k _

" .

( . - r)

(34)

q \ . ) r l = \ l \ n , t ) -"

r i i 1 , . 1 ' f 5*1

lr*1 --

'^ - a'i

( r - r l

+\ l\"'n)

-'-'

",-l^

--,-l

L

( L

( 1 1 \ ! \ ( \

a

t , , : . ^ " , 1 t 1 \ i - - \ ' " x+ - I

, . < 4 . (

a < 7 <

i r ( r

I * r." ^.. J"

- \ ( ',.- 1\ ::^ .'r. J,r.

f \"-l'^"".1"

\ I \ c s ^ l \ : - r 1 - - n - +

! r-- L\

\ \ ^ \ \ f

-r . n f 2 - 1 l t al^ -t 't' \

r 1

' \ '

j t .

+ l

-'x)

i \ t t

\ f - ' r t s . r r x -

\ Y \ \ < - , t . t s r , r \ " r ^ i . - - )

' " ^ ' rl \ ',

' l ; l ' r \ r " a l l - .

-Fl

(35)

c \ - q $ + !r ) = . _ " . " . [ , 5 1 1'r-1 ! ^ ) - . ) !^) a i \ q J = 9 ( * t \ ! J ) i c ) ( - ) 1 ( . 1 \ , .

I t g t t c - f r 9 ; - - . - - ) f . ) l = / , , :

'

c r * - ) )

) l ^ ) )

- )

U - l t - l f L " r l - , A d q

fr

b " 9"* ."^"g

t '

) 9 ( e ) '

( * ) = n r ( . " ) .) ( ) l

->

) (1ryr) .-

\ . 9 ( ) ) - .

.o

9 { e ) ) l ( 9 )

u r . = f 1 * 1

r r fr-r

=-I r ^ l

u = tt^l 1tl.l

9 q1,

2 r,.r - g r91

[r*t

i r-,)

1 ( 1 \ r ) _

o

J:

L ' l , r ; -

L 1 ( 9 )

-1

"r

!,,"1 =

, _ r J )

., !- t

"..1.

^r

T K :.: . ) . -.

I t * ' * - l ' )

(36)

( , 1 " \ : ) \ )

t . . ' ^ l

=) '(

{r'.t

.^,^_

ti.,.1,,;

) e ( J ) .,\ r,\n) _ k L(.r-\.' <.

r tr9; - !- 9qe; -.

9 \ 9 )

Gr -> i. f i-l = [ f..-t

>_)

, l

r \a)

t ( t i

i r r )

)

0.o _.

e ' q " * + u { - \ \ : c

t B <

- - ( N + i l - r )

*

D _ \

r D = r

A " "

v . : ' \ ( a \ 1 , , . - \

(n

o

[2 /' . €., JF!

=

;

: -

L r r * ) _ L L . ^ + L . ( .

, k

:,5 !r*1= <- r.

O

L r 1 1 ; : ! l - 9 a L c ,

cL51

- c,f c9'

I r")

t) --,, ) r rr) = [9r",1 -\

"1.

**r--.1

l ( : r ( L ) t U ) \: t c , , L ^ r ) \ ) ) - , \ . ) ) r r / J = )

f r.t =L

. ) i J ) = k

^ J o

1r..1 -_-, [i-1 = -3

\

! (\\

h"

9 t 9 \

r .

9 r 1 l

k \ * \ r l

c=r,,-a) -iJ-_rb :A lr), C n _i 1,\

q = r ( ) ) < + 9t9) <

(37)

a ) \ * \ ( ^ - . 9 - \ , 9 ) \ \ I r \ v \ =

\t

. : : _ . . \ _ < \ I c\ ,:.. , > t q

> q

\ { - [ )

o t

. > . .

_ 1 "

\

- , - / : . : \ ) l r ' 1 v \ - . \ a ' b v \ ' \ ' i z I \ , r \ "

a )

l v r .

: )

' . r = \ v

- b

. . i "

\ ' q

a - - )

+ : : -

. \ a

\ z \ v L . . - : _ . 1 \ \ ? )

J. .. (i',;) -..

)

)

(38)

\ )

t * * _ r q

' 1 J

.9.

{ u

2 _ r . . t ) - ):_ - _ - l j : :

-n v

\ ,

{ q \r.t ; * b"' \

b z : v

n J

\ ) \ \ i : ' ! v , l z r d a b )

\!

_r

i;

;.,.. \ )

i.'./

{"

} z

- - t , - - - _ " ) > r / - i " \ ) " {.'. {., \ v l r \ z r :lr'--),j)} L! Y ) \ \ , - i q \" )_v \ ,'/

>

:-

-\e) -= ..-.) rr.t J, + e(r)

q = n k ( z ) t Q(.) -

>\ i" +:) -+ Cf r.-,yy

(39)

u-

\f.,-,..

+Q(.,) : t<.1 ter.v;: ftt,.1) * 4ry)

C) J q.^-i - r u.^-.. r- !\.,r

' i . _ \ - - - n ) \ ' o ' { . ' \ . \ ( \ r . l

\z'

- (

r"

-->-* .1(r"

t:,-;..

l''\=1.*j"-.").\

\ r b ) \ z \ 2 \ v \ ) \ 2 . \ ) / i z , - : l \ v \ <

,,'} -i *-. -lj *i

;"t lr

, ,*

,r-,.,u,,s).,'-u!

-> >' .'L

..- -:'

d)-

..

)i

.=\t-r

\ z \ v \ - . : v \ <

(40)

\

, 1 ; ( r , v o l ) z ' . , ' z

/ 1 "

' t \ s --- V.y.

t

! \ ( \ ) " \ :

I _ t . ^ : . .

\ = . L b^!ri. . / \ r r\ i \ ) \

_ \ , Y \ r 7 \ 6

i

-1 +

b / t t ' )

-J r

n:n\

lIl -\\" -\) ."\ 11 -,{

: !- | -"^ r!: t

\ . ! ' n n = \

-

-t-) \ \ ' F ' \i ) \ r ' - , r ) : n . : l n ( l n , I " i

+ 1:-) :r" )4.,r\ -1

' r . i ' \ . J , '

r

\ n

"1,

( : )

r\'

i

L

--t_

< D

=;" )1 n <

?"

-{\)'*^

' ^ l '

'1

\ '

- . / " \ v \ \ ( ^ r t t

q ( r ) t )

c) t,*r

- ( 1 ( r )

\ ! < r r < \ .

:i'"

r ' i-'

S l ) a 1 / 1 \ b '

+ !) \r'-*t

ol'.

\_.-\>,r,*< )

j'.*t jr].

1r-r L

(41)

o')

U t ! u i n = . " , t q ( q , - ) : ; n r { } t . r ( 6 ) i ) : t 1 , / (v , " ) = \ i h , X r . . : - \ t ' - ( . 1 . , r 5 i q i \ r \ " . / \ V r ' . \ 1 \ ' r t r ! ( - - r \ - ) ( . / r \ \ i - n r i ) "

t

)_-r ! \ : D ' 1 \ ! ) . I

. \ + L = { : )

: r : ( ' ^ t

1 . - - , L I L

( ' r + 1 r 1 G ( ( l

- .

{ }

'{ (r)

. <r( ()

- \ t l t < \

i

u 1 r , r ) = 1 r

' s j '1'r',rl

-( u,.',,y

-.

- . 1

l

Y \ t \ - G t r

6 ( r )

(.,.-r,.1-r)

1in 'rrrx J"x

- { , { ( r ) ' " 1 - \ \ , n 7

) + t " ' r t G t , )

T i

= i l ( r - t ) L \ J

! h ,

. . i - ' i

. { r , . '

t " " a

: . t r ' 1 ( 1 1 = r : , c

C q - < v t 1 c *

! \ )

\ I

Y

v . : i ^ r

":l

. r r

_ . y . n - ) ( , . i 1 " 1 ,, ' ( c . i r < * . r :

-> r,{7Ya, - ltri

'

-'-.,

^ 7 1 - \ )

(42)

a ) [ ( . )

'.-/<

,..\-.t:t,),t

/) .tr-,,)').,'-t

,,,i_,,-_,

r.tLl-;,.t

'--,,r_

r- [.ii-

-,

; -<,(

(r

;

,\>\

, f , "y- ["^y

I r - y . " t . - . , " J u =

( \ "r r'; e ,. r'^ "r J

- r.*

':-

I

, ( " r \ ! n - 1 1

* - . J

] . . . , . . . J . .

s (!.. ) [ i n ) 1 ] n ! - . \ t ( N Y r ; ^ . - ^ a { * i

' . ( - . ,,.,. ,J.^

, \

-*- -t'

t

; ) ' Y \ L -."

- > A \ \ . ) - !

\ '

u . \ ' , \ r r l - l

J.

Li...{(

l r < ' , " r. . - .

( _ 7 -- \

1

' . , ^ ' l

* t f - L . , , r . n

' : t L I I r al )

|. ?'-.-

,- - .

. \ ' ! = ; \ .

i-:

i

. T " \ \ ( - ! l - " ; * f -i r a r I r f 7 ( .^l '

q ( r l r ) =

J

1 l - < - , *

''r"-

- 1l <.., r,, *

t\ r..1 :-. * ,, ./.,,,

f - : ; ^ r *

. , , " ]

(43)

a) f lzti-tzrt

I

_ _ 4

/, = x, tiJ,

( fz, -zri

"

B _

,

I z , l + l z r l

Vt

':-cl.t'

, .r

- d r )

/ i x , - r r ) * [ J ,

7 - ,

t ) u t

O,

I

, . r

7t

\<

- . t - f , i t Y

--- .1r rr *

d, J,. _

"9,

r-1,

, - _ - > (r,Ir,J,;tr),

) .

l.

r f , t ' "

+Ji i ryl * d.r' _,,y

fr"{,faf

r l - : L t - L ( - T j ( - r L r + J ' u l _ q '' 9 1

,tl "a:,/^E: \ L,tr-. u,s,

. , ! T r / ' r r

+ , ) ' { '

) l 1 l ; - J r J .

- i - \ L r X t g , g ,

(7'*

'^,'-),'

^ r' -li

L;

A :

l x l + lu l

i - - - _ J 3 - _ - _ = _

.< lzl < ixl -lUl

; 7. t-r iJ

./--r ' . 1 + ./--r g t

{ t

a:

- / ( \ - 1 r , - | , - r \ / | 1 , - l

( t'Lt-tJl)

) . .

*

, . t t - , ' ! ) l | , r r

: . -

_ - t . t -! /\..,_\lr/,J/

_ l r J '

atoJ'-rl;.\ iU\

f ,

,

f . \ - r ; ) ( t ) . i , ;

(44)

x,'xr'

* 5,'

6,.t

- | ;t-,

xr !,iJ r

t ir-,U,

-, rrJt) "

( l X _ t / J l r - . - I , . l - - ) l o t ' \ ) L t r . ) ' - " -- )

t Z ,

/ - l :

l l z , 1 - 1 . 2 .

l z , l

, . l <-:f,e -::::>

i z r 1 z 1 |

\ V r t - t , r t l ) "

I Z ' I

i z , I

lzr * zr I \tz, t- r..r I

i z r t - l z l r l

. < l z r - i z r I

t-(

r , / ( x r

+ n r )t+[$ r+l1.)r

t -z , = X 1 1 c ) ,

Zr -- \', +, ,l

- ,./ ./

' , - 1 , 1 : - - t < , , / t , r. ' ,- , ' ar, ; ! r(, i,- rd J_> -:.

t . , f

c t )

, t Z 1

- + Z y l

- .

lz, - z,l' : y( I .,1'- t-,,rlt

)

i./

o r + 1 . ( - ( a - + b )

'_y..t

zt + Z,r -r Z t -z\i

t-

t ( 1 .,1'-lrrl'.

\-,lt-tlz,

l"-r l..lt : r( lzlt-, l=rl

')

.--,zt{jNa,:,,,

1,, - r.<1,Li1/

, / /

t ,)--A)

t' O) w,l 7,t-,L,t

.l

t;

C,)

(45)

.r;

7 \ T = e L - , ca

- i ( \ - n i r * r * r ' .

i.%

: e

)

; (-% *n )

. e

"7 -\

- i -

'c ,r

t '

^n/,

r-

"'

L = . l Y e

i i 1 /

/ f

t;

- . / Y { . / '

\ -i-

-Lt

.T. !

- 1 - / t \ L t ' , , l I e t ' (

I

l . * ,

L ' Y ' I r e

A ' t a ^

) / \ )

zt= r-; {1

( l - i l / r + r * , ' , ) 7 ,

- f ' . - i I l r

L ( - , , 1 \ l r / -

\ /r

. '

f t

-c) 'l -\ =7

i"/t

T"

L , = ' ,

r

i ' r

; ( n * r r n t7o 1

7 - , 9

l\il

un/,

_ c - "

,17

- + t | / 1 - . . / Y k = " r r , t , f -7 , . , tn,i i

Z r = e

r:

+ r j

--e

_r

.J,

l - lY e

1,,-F

. Z

i t ("/( "

Ykn

t n / ' ,

e

r

' / t \ ' t1/( k , ! , r J r

i \ a /

] r

/ r I

-11

"

,l--r,J,:

(46)

,

; -_-v 6,1 i- ,.,2 r.

,,

,,r

. . . \ ( . r r l r

-- .).:r /

^ I , 1 -)

I ,yc,:ID - t.,>6 t:i,.(o

t\,,^'%

)

/ f s i n r.

^ " 1

) 0 i , " e / Y ) l s i ^

" l

\

0 t , , P / y

. t C . : 6 (

6 > ' i r 6

f s*Yo7'

y t si. +o )(c:(:So - 6/r r )

7r

)-si^\l:l._a- f,;

( n " t o . . $

\-( t (

Y . ' - 0 , /

' i h I n r t h ) d

l s ; " 6 /\

Ys',nAf1

o b()iz +- |

^

t /

,/ ,/l

, /

.,

2

l.t,ot,, f t"d).,-l/o//z

2,r',,o.,4u 1{

- + / - + L - + . . . -< Z- J n , r Y k R \ - l ( j l _\ ' ( L + L + - - - + : L

\(\'<\P((l+\ " \

\ + e d f ('tj

t , * e r . r

\ - e ^ l ( \ ' n )

l * i - € { r ' j ( r r \ " ' i t { t ' r ' - c { r - " r ( ' \ f t r \ - - - - ? ( - I

(47)

l - ] s , , , s e t ' , t , / - 5 + : -. ' -)/ , / ' - - ' ()z- 2r'

d) I'e) , zlzjl

z -- L +;J + f (z) -- x\xr*5,),, ;2lr_r_X,

)

'-r(,,.*J)

, v=r\r'+J)

5=tu

o / -

jfi__b1,.

\ )

x 3

b ? \

/ , - \ Y Y \ I r

; L

, t ' - . , ) ' - Y r ' '

^ * U ' - * ( J '

r . ' . - ,r=N

'rJ - -\LJ

.'

".

.J -.

)_biy'-_-,)-D,,

(48)

b \,.

b r r

() () * , T - l n r - f

\ L

- \ . 1

= r l

_ \ \ l

v o

-lrJ = -rJ

-__-,,t6t,/-, t cr;J t f r,,,

\ L

J

t"'-dJ

dl

d r

-l . r

_ \ , ) V

f i z ; = l l . l L

- . f

t , t

: L r Y r Ltb'

, t - I

- .,N

+.d]-. l r I l - r l / : L d L ' ' b n -d v

r

- t I a d

I \ . T

\ d

L_,),/- 0u:. (")")

L ) - t L u r ' : .

le)

.J.:

c ) f t=-) =

3 t '

zP, z

L !'^

3

3 r

b r .

3 '

\b

tr\r

dd

J '

J )

, J '

a - f '

f )

l ' ( z ) :

Eu'

\ r '

E t '

___,".1a<

d ! r \ ) d 7 .

= - > - r l n - J J - - , (

" , .

- . r \

(49)

* U . , r

) 1 . J q

= : i - - z t * , s * r+iv __ ^l ,"v"^5*

" r g l

: . L , ; " . i r . a l q - - . , t - ,

"

a

^ - J

r r r , 1

- l ^ Y r

1 _ J

!: = L :, l* .l.1a'_*_rL_1.1{{

__ Lr(i'

dr'.

dJ

d r.

11 =

,"r,j^"

= !.'_

ixr ti)r

(*'*J')r

' J

l ^ ' - J \'

"

- J ,

) .F

t-l = /tt :._

= t *.'

,!

- t/n.,

- i .

r * !

/ t t ' a ] !

(50)

'.(-(=-.-Y

(

"-,,-.

,. .t a1t- 2-2

-', ; = ,-,,' , ) ., urt/, ,

. \ \ r ! , - e C c - > t

u . = ; & 3 , 1

n

U q = - e S " ' \ -t

( J v

\ , ! L € coslj --( l

r ,

* = . r t ' c . : ;

- , - u 1 .r-gb=,

t-) u Lt : - e- CoSq O O U d v

fy'''t-'

t5 t\ r r I

b ) u - trt'-J )

r - -

l

C )

. l = - ) { - \ ) i J

:/ L /, 'J. L*

.td rJ- <.c\ 2," r i

(51)

l +ty

urra = r

JJ.y = ,I

t 1 = \ l - Y

!

b

= - \ r J r r

c ' r 1 - r,'y, : "

+ > l - I

= ,

- , / -- t ^

6 d

\' = Il'-J -YJ t P i.\ )

+_ = _t;1

-ir +

d 1 \

\,'= \ r,'J - rU ,-,-rr

> L /

\ q - d i r i

\ V

. 5 L

6

Q 1 L ) - - Y

€ ] rw \ L

'J =

\ : l b =

\ ! , ' - J l ,

^ t *

d t

- t r i r - r -

) r

u

t - ^ t

( x i r , 9 1 ) t

- [ l r r r ' * y t ) ) ( u t , * t I

( d - 1 ' ) t

l-;1\ ; 3r )l

-l -,,

i r'.L

. tji * \nY

jr ) - \ r n

r-

L r..'lr

)

".1t-"r

)

t . , \ \ - . J I ) r

- - I J ^ ,

- \ 'rL \ rtl

t r . \ - i - l ) r

3 l - t ' i . . ! r . L - j t . t ' r . ' : t , - a 1 1 1 i ( x r * 9 i )

j

r.r,.

- uc, #

u , _ g ,

- . 1 '

\ ! t

'' ,-,. =--- lj

= o ' - l:a;..r

\ t ' = , t , l . 1 )

(52)

\ '

','!'. --r-)/.,t;(.;),^.,

--.' t,t;"a::t,:/-

r/-- ,- tllla- ^ - f

\i,..

t

__'= )

a \

-'- vf (X) = e

:,n.,lJ -

r.-b)

rr . cos'o.

x cD:l tJ

i

U"* = - o-Y

co:(L c"s!. U3

I u i t = t ' c . s c \ l , c - ' , r . t 3

: -

c - c \ o t r . - ' t ' t : ( ' t t - d

1 = .

-:-l'

(53)

t,;-;-</urt".',)>4:,'

' ' /J2(l r ' (f L- LLt' ) ', \-)r. q ,' ,) ,, / _/"2 tu u -t J S l z : " )

,,-/,,,,

*\ rr-t /

t - ' /

D ,)/"2(:o!L-'

-7. ')

I

I

t ,

I

I

Z . , r *!-Z

u a i " a ) \ . V ( 2 " ) / )

o ) /

" , - 2 , ,

Z ,

' . : ,/

'r-,,,/) ?@) I './r-i-. /),) z

,,' f;<.,) z:-.-/-'- - ,t

(, ,-, ' ./ -- Cf ,,,/. ) (,_ -,,/t)>z::?r'

(54)

. / 61 :t/ | L:2"

/ /

),',..)r',ti-..)-i

t

,J .j

_::_-1 . _ > ,

> , e € ( 2 , ) C , D

5, ,lubu-

tg*.4L-/o/";;;

gry,,,!r,

!' -tl,tu-,,

,-.1',..-.r,ti

t..'

' - - , t - - _ ) t . t , , )

,,4

,

- ../t")-/ '- |

-

4

-. -. , /

. ! : "

' : ) , : , -

. r

:: ,. )- r-/' -),: .

-.

/r,-,,

, t- -'' ,'; -' -,

-a') /J' .:-' J' ,?

(55)

;';f;

o,tz-c?.). t a

) _ / L ( - 2 ' L ' , ) , , / . - \ 1 . / >

+lL) ,r<

--p , - , r l c / ; r . i L V

u'd

v t r

v J

"a

( l ) , ! l ) r - _ ! i ( _ U L -,)

l L .

l! ,:

t

i

)

F.

( I l , - ) l

,,J

t vt'' ( Y

( u r = u i

1".

i -ta=un

uo.E,;\

--- f (z) - Lr--iy' :--

1

y'.1 -- v-.l - "

. J L - _ _ , L r _ : I U , " _ 1 L _ 2 1 [ ) \

y'n_ ...": V;t -

1 Od =

: - / )

I iot. u-ru'

-urr;-\un=t-u

I

'"-

i"u'-,-)

l,

,,J

2

l

- u r , _ l -

, 1 ( ^ : - l )

( .

- i

. . , .

. ,

.

t * / , i J l . . | . - a

u . i ' - v ' ' -

C t' \P \. . l,-,, t

( i \ I ! r - l i ! , i ( ^ . l i - L j v . \ _ l ' = _ ;

l - . = t )

- > i i : ) = 2 . c . i - - i

i 1 z ) , - '

' . . 1 ; -i.,

' ' J l

- z - i t ( r -

,1-d,t"L ()' t cp

"i=,t

u ; = * ' [

-uJ

) q - - .

I ' t

I r'.

r )

(56)

- '

v \ ! ) y )

-..=- Lr(L)J) = r.

- - c

= > i(a)_- L

U -_ , - )

-_-r (,," LdL

l)

d'-ii.; =r,n

*.UL = "

) ( , )

( r )

I u L l . r J ) = cr

I v - ( \ ) J ) = cr

f ( a ) - - c { r r c r : e

--,-,:) t-,- 1 3;t t /

:,s-,;: # i t .fl/,

: !,,-'-;l

6 J,,,/.)., ),,,;

4!):

t,/,"- 3,_- _,,

T )

P z ; = l r l - + i l g I

' ' : ' , 1 L t

( . , *

. , 1

;

;--

L

rx=l;, , a6 _.

. . - - x

= 9 _ = ,ur.

I

t d u n

-r -r I

t r )

"

' , Y ' r - ' ' J J : ' "

. ' 2 ? l '

:rxr :>?(.J=

1{*.tyt

t r + , )

r , , l

' ( - , . ' | - / / ( ^ ) .

r _ * ,

!

_

u

l . i

_s_

1,, I

(57)

l z l

r . = ^ - + r \ . 1 : Z = 7 - , t 4 = = -v ' c ) I

t tzl

--I

, r'*d'

r, ,

fi-^ ' * d '

- F-i' _ g/-,

v ^ - r J l i L + 9 ) ' r

" , r

']-_ _ L

t "

"

v t + d

U

1! 4'=,

^'

:,

xt<;1r

--JLL-'61,.,),

l( -r; r

. t ^ . . --:,,2 --'a.-/'',-'2) ^ ; Y ^ \ t f z l - l 1 2 - z \ * / ' - ' - . - "

- r l

rn,.z)t :, ?e) = n( - t

J,

, f ( z )

- ^',. iJ

t

i-

f [z --t

az'y

= f , , ^ 4 1 1 . - - o . l Y - i

I * \ z i s . 1 r

,\ z-

a r i ! A J

^r. '

-a J - * -

b d - '

,) r---+ .

- t :

i i . ' . d r ' -

^ \ { 4 1 - i d i - , o d '

- i t Y t t t - a - \ | . ' , f

D J o l . - I I ( , . ' = , i l , _ . " 1 - - f r - . , " , t l q _ r u ) " - , u _ |

I / = - r J

-..= l'1..1, f 5 +. r;1

t = J . )

d ] - ' ? - l

J ) t i . \ ) = l J l

U ( ! , ; 1 - - r L

r u '

t n I

-i

-

(58)

-r-'i-" ^+-.

U 1 = -s,n11*r;

l';jl

f) ' 1-t r:

( t 5 1 +

r - & r s - q

L! \---V

E t z l :

c . 3 1 y . , 2 +y) _.. c.'l

,J)

. ( i ) 4 \ y - . . , ,

o

' , - . . 5 , J

. . f r . . -

) , 4 / i + r S 1 / r ' ' q < )

o r 9 , - .

. J ) , \ c . / - l}r._yl+rf r*.y/ ;

r " - 5 \r*5)>.

' ' - ' .

! \ / . ,

1 < - l

l. /,

, \ z ) :

\ - + r .

I

v x : - : r 4 ^

I vJ = -si,";1

--.

"/.t4)

clt-' 1

,"vl

sa4 2t = si4J

L __

rrr.-?

+_y

n : f r - t 1 + , j , r J

l ,

? i z ; .

-\"-a'

I x'-.1t

I

( x (xt 3')

. / ; t t - r 1 r l

_ : t J

'ft (

itll

tt,-=1,1

t,1 (x",,10 ) >.

? t ,J))

(59)

o )

) = - ' ' , .

r \

.r -- 'nl^ ) I V = Y \ )

-,-

\l

."t=-t^"

\+

2

$,-l )

n - - Y

\

!

r

\ r

i

-*,^- | * u-| { -_r _++->

fr

r\.

l+=- ,

lr

y

z6--; ( ) ) - - \ ; ' ' r \ , . - ' ) (

l \

{ - - - ( o t

t r = t ( - . . 1 - \ -) u---\

r'-..-! : r ' ^ i - \ , r \ \ :

I

r " t + Y

r r r

- - .^ -J .\r.,J\

) - - - ? \

o - J-9t

v = \ )

(60)

-.,.\ \r\ ;r

. , ,

\ = \zr \ -- \.i ;,t

. 1 I - " n r - 1 \

'' '\u-,*1

LI

" . ( ) ( \

c)

q " ) z <

i t e..

= 3 u =

:

- \

T I f n

( ro ( t

(i

"=21.7=

(61)

-,-\ 7 . P L * = \

z

" \a

-r, Lr,L'-s-ir

u2 \J-

r t

o . )

. 4 o.v1 r (

7

-

l ' 1 o - , * 1 "

\) - 1(*..

- ) - l ( * 9 !

a )

" ( , ; \ ( \

'<) < \

W : I

7

) : -^ : \ --; '..Y 1"vr = 11

--3 \* -f)r+-.,

) l c + ) ^ V : s

\ ) - r _., \: _

__=)

,,.r \-v

l+w

= c

-j - o-fgu_ \ . \ L

.i

\ _ \

-T->

f +iv\= L,

' r

-+\

-+

- . . * l + \ ' r \ - \ ) \ - \

-

\ '

t

\'-'.+

r v' +r1

:+ =,\.,

;l\ * -\ ' '

I

(62)

o \ \

\ : r r l

- t

r t - \

t) y - * -r

r , \ - r -,

- \ . - - ) \ t l r . j \ - ^ r v ] l \ - \

1 v = u 1 V

- . - 9 : X - \ ) = -\ - ;

1"

n'J

t

_ \

r

u r \-v I

a) i.. r

J ) 1 , 2

' t -

- r l \ *

\ \ - r ", I \

- l

,

_ )

u \ , v : ! ( , + . t / \

- - t \

\ \

' 1 V ' t

^ t

-=) \u.- r1

f ,

_ rr] __

r

I

lr- ri .r *r-v I

')

fr

---l--t

ll

: t \.., I

-.r \

L

---\\',\-v i u

-\[

t

l/-_\

-H-\ *

-_.,

I t * v'" )

'

+

t =

1 ( u t * \ ' )

: - r - : \ , r - - . 1 l , | ; l

t.^l

(63)

c \ ) . 1 l = \ z \ - i \ e ( \- L-/l v-f L '

l ( e \ 1 )

t"t

-f l ( a - \ - ( o - l . r l L r ( ' -f - t

" ( a - " 1 u

( a

_ b

< o - . 9 . r (

t

-.,. ( z

b)

c )

* :

- \ z ( - - ;

Y i e

< )

- - \ ' \ ' ' - ? r ( o ' - . u ( r , 7 o (arr:

' L

ur ( _,__

. r,{*

r-, '.

7 ( o..t

I \

Y

r i o - | \

\

z - (

' \ ' > t * q

_ t" _ a>":pil,

- t ur {r L - - r 7

' r "

I r ' ' ,

'),!

l-Lr;,t

g,.!< )r-lsL*-

(-a

'.r -

l-r

*

\ - a

\ _:_:

l_\

r l ir,--.1=)

\ - , / ., 7, \ _ - .

- . - L r ) l L , 1 ^ l - _ tz="

Q c

: _ " = i

l . - .

z t \

: , = ) ( \ ) ( ; ) =

. l r . ' t J ,

I

(64)

,;:(-="

\!,,..

-:,i,(;t',t

a r cc,.,

1r\.<

\

L.:=L

u

| ! _ ! _ \ _ \ : - ] i l + r I - ,

q ? - + b

d - {

I

? , - : r

- )

o l r - b = , ( e , n J ) =

_ . * , J

j r K 1

z \ . - _ i

. . - > _ o . \ r - b _ _ i ( _ < ' , - r J ) _ ^q-Ji

r H 2

l \ I . '

r - x r l 2 - > l : - e

- < J e--b

H 7 ; ^ x F 2 = > q i = J

= , J . q

, v = 1 i r b

- - c ^ z + b

. = L t o a

c z t J

- k z * o .

- L z t o ,

.

a _ l r z

V c r r b e. f

References

Related documents

If you are recharging an extinguisher, which has been partially discharged (with agent remaining in the cylinder) or has been recharged and the pressure leaked, follow

Other states in the northeast also demonstrate large employment in ocean-related economic sectors that include key support service categories like marine construction (e.g.,

Tutorial Lecture, 25 February 2016 – Course Staff and PPCR Course Director - Felipe Fregni Lecture 1 - 17 March 2016: Steve Freedman Introduction to Clinical Trials. Lecture 2 –

naglasak europske unije na regionalnom razvoju učinili su pitanja regio- nalizacije i decentralizacije političkim mainstreamom. Pa ipak, paralelne studije Hrvatske i Srbije pokazat

The prioritized questions included: overcoming the lack of and access to equipment, consumables and facilities to enhance African environmental research output, integrity

(Allow me to clarify something: nothing in this essay is meant to excuse Jimmy’s behavior in any way. The argument I’m trying to make is that Jane’s position as a woman of

In this thesis, the theoretical framework that underpins depression is addressed within the context of the circadian and sleep-wake homeostatic regulation, and on how these

Methods to detect cardiotoxicity in the CA patient include multi-modality cardiac imaging to assess ventricular function, cardiac-specific biomarkers, and exercise testing