حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)

1. ()
o*Jt""ii
,bl .rirlt J-{.J-.4 r.$ fyj oli di .rFa & L}-yte.t g t, ri)sllJnr,r-e -
"P
j,all*.1*llJlJ&#i J.-lt!, .,t',.5J1*,.:lt*-Xr .1"rrr"1t5t5p'r.Le*tpq-lr;
.Jrg*t
. cry.r"-, Arr, g t{ }-r ,l-t,
of .
!#J 4:r{ rir*-Ir Jrr*l
k*S ar-1r;1 4l1r uF J* c*^u & Ct:, y u)Slt"rar,r-a €)-
l5!-! . #Jr Y Lo1l.r.e.r1 ..-JrI I c;.o:.-+U J+ JSi h; J,.[+,li 6i p*J:.r
*}c o;i i orr* g-+r
. ) 7i Ailt -bS & g-*r rr15 r)l t",.ll.l rJ6g-!r a-* W , Vp'.*.J:r r1tf
q)q it*-Xt ,J"br "f . k+S q-rrj{ u#lr .,Il J* c-p & ct:* t ot)sllJoo g*a
€)-Y
'l
r^
.il,
15p,;.pi1Lrlt"tir;,J"x-l c;.{:"-eu J+ -oti h, i,*|o,u'6i
o;lt{ or-r p-*}r
r+r &
. X ei €it el:l ..r,b p*+r ,.1l.f,r;,1 u *., ,.:Jr*-lr t3o c*r, u;ro
0**t 0r5
,L--r,'-l-,,i t)ub G-prPe:rr! arj.g.,;ut,ciar;-r'euJ &o-& ;;J*rAarjl;lJ.irr*--t
rJ --v
a ,t olilrpUr g;y-J I uF & j.-#i .s or*. ,P
rJ, L *, r,p * k$ qlr;r .ts)t .,p
.r1 11.,r-.ir1 o/Jr oja ltrir.qji .lsltel:,1
* A:lr+e,; +* ar.1r;._ri!r)r ge gl..-Jri Jt -gi 6-p
.
:Jr-*-xr J*r*'-li
"o.rpll
*tr.1#
o'-st)
J-alt
,,
"h4,
1.
& ,!v r;s-* & ty
_rr&J g;:yrlr ;$Jr
*111 ,r,r.ar
p*:
e) -o
,rs, ;v--ti .i or-- e-+r r#J 4+{
, is-5,:*It ,,Ili Jt 6 *t el:; &
.**r Jr+ e.lr p.eJrlr ,sy*Ir
ri! dXrl'el:,-l & O-& 1t*+r rli &-l . p fiv;e9:",a ,* U* t". a;j3 1t-ro.,r*;:
er1 -1
.i
J-* J!-fr $* 1[r ]Ur
J-ii ,r-r;,"r-rU
o1.
Jt
a3r:*lr .Jc aJr: 4.ai a.o .pi
a3*r J""6ruj'*-ri ripo'r. k,War-;r;.4r!r &J.{cspJr 1115
Ja} tu-jt-,, g+t .9 -iy,oi
. csyJt J#
"n5i
",
t!);)t
. cE.,,:*It
&i
Jt 6
/t
eJ:.1
0, ar;.:t 1!.ri;
..r,t.o
a.L:..:l
letjy
15f p-+t
&
-il.r-rt-"
.'i3Xt
&
oi
"--te
..il-JJft 6t*JU csy-Jt J"i i.j.:.-,r.ei a:p
f*5 c,, Y irjl.g t1Jo,r,*: V)-
"1"
of . l'6.,S
,,,1
J)lS:'Xl .1"t r.li ,-P el.
.,lrIt ,p aSrJr J+ ar-:rj c,--,c r,.,r;.e cilji)r
J*oL*l
,fls
cr -h;t'r .r-r-9 ,b
-uJr 6J,
"Si
&*.,[r .r"irr
cs-e:-Ir
trrir.rarti cs-9'*1r ,,lli Jt Klt
"1"
J.i;*r,*-]r Lr; rrr 9
r-+' .:J:Ji q;- "1 . tg-U q;r;l.
d
e
J"+
I
p*t a T ,-,r*,- J(r-)l
oy) ;l"re.o

2. t
u ut-tlip7 6)*u-retbq-lr;.,ni'lr J"J-{d,'.J,u 6.P & ig Y'ai-r1 fz Us -A
.sy,-*u J# -,,5i J"] qiry 6i #i tlJ* lo
-rl,ri, p ru .,;[,i.1 d!;lr "r g}r Cf l..J"i Jt
ayJr
-r
g^lrr O, Jr(;-XI J.lr, 're-lG y (J
: tl it5 f J*) d);'lr if
ta'-i
,'
o"i
a.jei
6i ,fi
..1yll ,Y u.'llJ*
f r a-ij1 JlJ-i,o r.-.
ro;i!,
tJo eg)
.* or-- klG ...a q;r-r .,nl)l .rp J"{,i#
Y
; *r* Jr(-lr ..1*r* .tK rSrp . g;J:-Jl &i
U J# -F b
0tr1
d 69 *
J
#L' c59*' -1
'>-,i1
;it;
&lgJ;t JU:,-r .,Il d+..-d' oJrJl )lra" 14'6*{ r4^4..;g'Ut i*'{k.:Jt
t-t-1t;.,,,LJJ., a Q-!! qfr;.*Xl ..,Ic J=tar-,J'u 6-Y & L*f ()> u)S;lJoo 9-*a -
. ri'!;-,lr F a*is&i Jt csjr,-*[ J# -n5i Ja; or4t Ctatar 9-'^: r ..-& o;i ' ; "J6L-lr
.cs-f*Jr
(d-^)t-r :t
Jt*
gr-l=llr ..I.t-l "f . k*S q;r;.#)l .,tl
J*./.,
#" 6Y
"p
f"5_
oi
cjl
t dcls p** g;-9 -'
rl.
4 -f csyJr xs 4'
li
& d;', f*+l
"-1,
i-U-fii f-tl i.J" !);i 1:!j . ;U*-o gtsj-'il 6j oA111'r'A"rr1i f 'iG }i JIrs:'!I
-hJ
: iij'oJr oi-a or+t1 11'rr,' 'ragG cs}-J,Jo -nti
")4't''I?''' '"t-' '') ,-'.J'
o
. J.or-Jt .!"i -i: 6 f' J:; .sb r.-o' ;;(J ri,"
,"ri ;i 191;-i)l dl-l3
rrr5 t:1 t"
csyJr
0-9(l-
'
ayJr ,r-,i Jt tS it eJ-l & e,*+l ,3! 1uu;
_,_
a'
- f
vt) , rO oU&t :,o r-rU3l cS3:J1 d^ij i 4.o oi-li.l:; ,,nri G-P ult (-)) .) f7 Cp:
"
;
+'{.rV
.
) *Jn* )i t *.r-f-Jr1 p*.}r i,
-{K'!l
"!.t,
t:(,
c;'i ' u;;'o f*ll
e
J+:ytrc^;6tr1 I
o!"il
)'ti"u-o ,,c, 44+ ;e.s?tllt el'-r.rE g-+t g*;: JI l*;s rt'
g;iJr oLJ)t p
./
r-"r $
oi
'
-) t U,I
Lr
rt/

3. 'ot'r-J 'a'
(r) o7v
rrf
./
,r..-
(
(,.,-!-.r)+
-=
J+:
('p^"-.
-tf
-t'a r
o
. L =n-
i-q
^)F
! +/ <- 2 .n'o lt'
q
+J
e rG^4t.-l -{ <' = ,.-Ilo
F{.2Nv 9b: + L= /s fq
;*!=Lq
lxt
ViJr rv
fzt
o-**.,fi'-Jt
=
=s
P'r)
,Qt
+L
=J
t: x i
c
' tf
"'
;;€: N ( ii ( = i.r" L; D AJ .., [g1
il))&, ,py o-,* tib
;it,o.1€ ( 2 L+i.'
;*
,{,iy
ddo^.,
l(=7-
','
v1l":r €
.oV; = L+ ^l
o(+s = J.j
1.xQ.= rr
t
,.
i-+ ij, +rrrl" "Jr
,C-4
ro
=

4. o7'.)=tJtAb)
pL
d)-Vt
o)L>)rJ*
,.'/r
U,l- -
L)
*tG Otlr 5u
a -l+ a.
;ltlr
B
*-Jt P-
4,,,1
)=-Dlp,.-*J(
,3;Y.:tQ2*
prr.=/r
O
€
Oo.
e
YA 3rt-ta !-+"'-t
€
9L?)+ pbns
=
J B
Sxa'+-P ft :r :,
Qbz+r(: oQe (
@ 2x1.+t.
(2(Y
^rs.
;i.<<, : /,t O/ 6
-'.
n-
<= 'f. l> 2 f tr)
.1t u -F )'' ' ji ,y, .') , v. .g ,. -g,
2f
,"!;/)n
4r)
^^iJ
"piyi-tt
^
=;
. V; * -Zf + r,
;+Qr.=^e€ ?x(,'to x + .F ..1,
3S/"1;,*)J : *{
=-/t ;);r
a-P*Iv J"A,s A; tlt 13 | --t'->'
I -
tlJ,A(JL
o
=
!.x*.
/r,l-.
Fy <e.: N
h
=
e h';2=
1r
a
plt
-r
1,tpJ{r l(:/o
Q7(.+,oxQ .= ns'.,
'(

5. o/) rio,l*y
.f
u)
e= o x(
{,6 J
=-r5"K'tb)=J
Lxe =f 1€,
c-
s.
av
(
,Vs
c-:
il
I
o.6, - '
o
O --.:-fl=
U&+---
iP2
s
/€
(UX c
_('
=
sl'
r€
=
!o ^,- + -/
_=
Q"-
g'9' :tr
I
! x. + (.,- L-a) g = r'r- q
15 Q., G ^-. i= Q = *,a €
,*.1i(c=!X..=J €
o
jpt=J
f c - =,J
(. e)
+
1
s -F..*
Q-
@
'*'
1
llv)c
lr.,
€
"7) ^' ,k v''--t s
P)2 + oV
gq)
trt
-P +- Ob^= t( +
o
pQ)
g:.
"D
=
t
sJ
t(+.DUA"^'
:fst.d(++."r
(r^2 = ,j, '.'
O(G-
1 2 r( {- ((c -1 ) r L + (cs - rr ) [ "'!
! = r)e- - - (€-(( ) (r-f c) €: ,= i" + ()r :tf 1 €
-l]rGr-.3=f(1
y/,:tt
.t ::
= 6l
,ctL > f ni f)€-) !:P$'-YlGr-.3
/-r' = rJ *)(,( ^'; ,ns i.A,*l Y"Y)rfr--{ rJ ' '1)} €$* l al

6. or))
r( J}"Er
(r) r
=io:{*-r:t
oPrJvlr
0*1-
"iyt
,PY P!t)/l
)V-, = J
;;o'=9t()(':'r€
,1
, (nu)
'P
0,
pv)
J
v
pts--rft N
r'' r'
*e
[*r('36'xt*
t<;t),Jr*Ut JLL,J- /t
d{ ,,i &l
.C"*o.=!
€
5tlp2 =J
ebS+JCs tnt
i*rt. ='n)
tsllL' =',,s€ E xr< . +
r(
PQ,,=J U
(1 )
(()
o.xs ,= fu
o
-oV2=rf-r-nJ
tY) ))f 'JU=r
.] q4
Ls)
JLp XCrA?e
;
"'
LY)f a)
,ovs .? {!]x Pw; {r N
3up
dl^A gVt= Jto-plf,+.l +JUP"r
Jp pC*o2 - J^P ob: = J:P' ^1 "'
(J-o)v2
dw
[dra ,>t-.p -
I t;" oV) ,
=p e= (J-o)wt
s d u'"
/{
.'.
=df,p,^:.,,

7. I (r >U,G
,r;)) 7l;)Al{:*:l
), r |
,a
I -r (
C
J S4VV
3="ru'.
Y
A "ri Jrr J(- -,,.ts /t -$ ..pol
JN
tL:J e 'Y'tb) = r
;;Qr.' Er
,lV
c
#
i.*,
'q,v, + t r
a
=
lo
/
!XL+QrqxQ =^t:'
i" ; o = /-) €
<r-:--fi .F9 y *l'
cAy)
'/ y>)*)'16
Uto}>)*/'#
Luf
' ,-
'.arrN:-,"f
LxL+/r1 'Zotxq
q-+tP =q
C-
,/
cr4t;i-'i
J i .€ i"
€

8. ,-,r-r
;-t)) ?Yi dV4)
st)
| UJ /t
6 u ;P
Eu
<-rsr-V.-lt' $1
-r4
(e) d[+YG-S = 4,r:t
-:
?*i"'
e!
)
t( V (e );L*^oj)
'p+1s
el
onr+'n,
ct
I
Jf
tY9 V-o4'r*1
.:
V tr-:^
*.a)'L*Yt J'r., "'
r/
.ri 4/t d>;c.& =-+tr*L-'ts:
=f
() L " r ,-:,
!* l-'
) Xt = ;,t*
J [- =
AAV
C(
,lt
e,.9
f.,
=
9i
i^:
) ry=,F9.'.
c,t1 ,rJ ctr y ,t{ t; -}r J_fr(-
.1.
eY
{
c'(h ,{@
(

9. o
! r) d
(.-r
.;;--.t,
/, r); d "5,-yf>;
J
aw-
r
fi'
>d
.o)vs =,,g€(s-J)u=
1
ulC"-J)
t
QGs + ,rf =.j G,^:
-Dcrt H=J*t.s
tag
p2o-+ ct U" -DV)
(,s*
t) ) cs ;-)
o
g; e
s r' t'fr gV; :
,,svio
b
--
tdtP^r
gV:+
(.,
---
,t-a; = Jt N+,/
J L.on: - olip;, = ,/ <F
@
C9., @ lf!^-
rt V .pV: +
t
G .I+ = sB = g+ ')2
sW
,)V'
6,
/ t ct
( t1 .1,6
-----,Jt
J
J(
V--"il4 ,j"
)
(.s +
t--
D(n: - t-! 6lVrs
J
+
'r"D
= ((J"" 'l
+ s Yo 'S L" ts
":
La+ ts f,P J u7) n:
il+) = (s - J) W^e
-{"s
-1 lsN'L:
,{t'J,i
nt
.!=J nfut' -('r*l)l'o

10. (i;) dt *:A/"t)
6
*-5,-tpY(
.!-un
s4
=ct L
.s ti^
=;
?4;=J]-p ,or/
dVnt *3rCp2: ,/
G PV-r= r(+ JV^t
@u €){ G' .r -l>
cscr-pvs
<sVg
C*
:
g: p
J l*vt - (tt*"> G2
+ cr L,,' J bp
-, *<t V-oo;t = 1f ).,A J prs
d C, J
Co n2
@VP+* s{ppb) 2 = (o LoJ b * u{rJ 17) ny
(.r - p) V 2 = (o -+.] )I*^,
(rs,iJ-( --l;r.6
P)
w3
(r-r+J ) ue
(.s'-
t
=A9f
N),.td
,6ievJ ) c-P ,",{r;}- ,):,--l .-}t L-isor1
;-cfaJ
4:
1= (.s+J) ;
.,.*=J
q
#Aipa'(s -)
-lt

11. c
)) d{t^d/) ,p ts) <>'--/
r*rff-r--t-+ J- t ,:r:--...- r:G Uy V) a,,zp - I - ,=-t'
6i;"- oP re G V) D>- -V :tr ,?9
,yJ
(i
"*
**-ri;)
Ll
,/
Dl dt'rJu #
a,?r.J,Jr'; -v S J A--*-dul ll. llt.-coO
.i:-+ 'r;al 7) c) 2tj
c{;y;x J-L* f
-lfu,Fl - *rt
r<-t')
A'
-
---)Jl
"4+:
tl -gJf = tt*
cs Lp
= r-
eCp)-J^"r+J
Lc) Jo,^,
.DV-, r
">C2t:J
^"'
LY) PV:-v ,r f =- J Vns r
L(<,. (.)f uJ,'-(J Vrs oVr H : J Cors "'
u*,EVs + u LoJ p rp -
rs V-a:P
)
=
<*r'
U/ J
lfa'u'"
* tVpV ) = U: DJ Unv-rr ,r[p J U^ ^e )SG,yVZ
kUpr;+ cLp2V); i (rUJV+-oEJ;)ns '"
p)V: = (cs-,J) i+ As :p"D)P;
=
trur+
Y"n)Y: =1e+
[o- J ) l.^
4(
c ---:^ --<
*-;* -Y L.}- 19 ,-) - i:
J ) t; r F
r,r ""U--,i("a
tr =J --X c'
=&r-J) c-

12. (.jy;) dd;pg* t ),qj 5;
| 7- );) '**
r iV
-eQ; r
ur
G pos*lf : rgli =u*: r C
PK'
6; lb
OrQlr-
Otr
2V)
d: A
*- -P Cr: x
"F)
6b
ak
o1.egi)
^
trEo
(u!"
(.r+ E)b-S = /r-e
't
"
C
C+
r- ,ri*-Pw> 2
r
-- '/r1 -:
V?
[s :- E)te )
s'N:-
ts tl+
N
o[a
N
€
f -'l
='N:= 'rrl :'

13. t
L-e
)^* il4e W,
T 'PI'IS
€;'
0Lc"?
qP
eJ'r"' r rt'Ja
6'fr
6a;"^a
6-#l
oI W -fr -
.rl-c
Jai-alt 1
1
Yo uPr;l5trt""e3J'c -Y
f,WaP ct"J/] ..Prt Y''
gy,*.r*b6ai.aBF&
tz's
rr1 6-flt*lc -hi'alr t ast'&t
oroJl s Os ,y * b*.ri.q s
Gyjl
,r_iri
^,
niult
t aflr c{ ,-/ 4B ;s-f r*{ 1""6i{ 4"ir1
.-;-rt-tr6f.^e
'[-:e W-*,ra w
rrr4-..
71r
.,
a,r(Jr 'r'c ts.;$Jr a,I;(Jr
of-
c-;6 u'r'r
(..l}"lt (.t'
I fs t *.I5 r.*
o
^)-b
cr Jr''
6 iri! r.c
u.l5,r b.lJ{#1*Jrji ..ljildt'a9J^+1
:
-.
-',r,
w ' J-)
8d t 't' tlul.<ot"'-'h{J -f
cii ' 't'-i-l Jatl-l u;a oK
Y c1r*,- I:JLJI ile''Jr 1t'r'i' 'ri
'y
t afJr
iJ5
t.5a
",-S'.&,.q n., o' aljbJ"+'3t,i
. U-fi'a I ,r-
,ft
iJ
B*l!l o.b.r:s -o-;ir
:-{*f .",,,*vg1.tS-;,r*,,i,:u,
,,..11
's
r uSJr c'I-4e r:! ''
rf {::
]ffii{*$'- i1' +
r, o. .
.
a
--t
;
}t
ai
J-alr llJ' st'Jo;
-9
]
J1
t:1
r
-
Y
y'f b'es
vy u'W f*t
.
. Jr'ir
J, *
Cr"
!#.rJt
uJ3r oi c"tf,
g#i
6-#1 .,le Jai'dl a'J 0i
&f t1'' l'
G,*'o,+Jlxrn.}Vl'W,illJit'l
'ro"i.)
*'*
iJujr r']l Js :
rfr o6 d.# [d'i-i
,.rpXl
.a-#t,rLc
-h;u.alr;
L
of-c 6F tJ" W
tar5 g"-z nJ'P ud/ JJ{ 1*L'I,
t-€iqi
Jalr.i
J-tJl
')t i
l,-r&il2's
'
.r'a',,Jr
,,*..*ttill
'fr -o
aI6,
' u'eatt
IP:ISot'o"^:;Jul -1
6y'* 6F *P Ja]r y
's'21
*
& w 'f; -t
fS
.
li! J 6J<'J1 {}9 J4}.aJl )b'&il2,-o,l.r1 d
,t' 6.#r aJ.(Jr Li J-,.iJl
f"-....7 i1r:lr.gJallrr
'9
U:Jlr 0,5Y u,.t-i
lt' 0i
-,
cri4
.s;'alr it'(Jt
rL'},o 6'&
Y
tu-ld
ui
e- tJ'
J t,-],li d9i
VP
JrJ-r cr

14. 't-e JLiJI p--ir
Jro -r rsyJr
0--+l dK
,b Lfil
i9 hlt y
a*5.r;-e rl-*J,' 0.,g"-a 6-5'.
trJr 0J<- Abt&
6f
lr! 1c
J
of
' k-W ar'1r;.rri)r
bt&tJa
;'i,
'ta| ' r-6!-i
t ra 1r-La,: ,-;*r o-,(.Jl ,.f nr-, 11 -tr.r p .sy*'ft
,
g+ S/.G i t'S ', t
,-b'|.4 * ay"*,P Jl'lt ,"**r V),
gt::Jr
i-
&+t
n*Jf
C"e
J'1; -l cSyJr io!
.rr-e
)t)-fu Cbr.+ 6f
r u-H;r 1"-bt "r:. g;9:Jr
!
rt-J,.
u1
or.L^e 6-5Q
*p al$r l"$Lir tr aiult 3
.!
of
.
t4J-o'-i
W ' 6 -/r qtJ'l d./ di
( '.,^ ''
'l
' ''''
Jr*
f-
c;l ..f
tr. a;l5 (a) '1"-q *-p
;'it
P Af-l,Y,o
.
A)4s0i c^iu
1W11
-;J)l ?
,"r-,,totJ.t;,-yrL-J.o
ofJr
6-5
i ,F : f-1 . df f
.rlt (L);il'ir
SV
,? 6 /.!
f y-f 4
'tr:t"},F-6-jh.Lt
W. g g*+r
hl
F
crLo-*'z
'LJ"
-
t
cF
urp-ic Ls-l' ,f J-* ";i:* -,Lr i<- uf ''ui
ui
,,& rc"W}* cbVv.r6 d t"'€#JtalSv ' f ..rL"'a -o
,y 6ia,Jll
V n-+r
.c)A4
AY
u.,i,
:j6 t""* r45r- a"J4+l !ri'r" q"'i'
,t:i4 r5tp' I n'+r Jl
. a.ri*r ilo,s
*i
hl -"
k-"t+ ;J-Jl, ..,3'il
t}Er:t sf c V
* W Cp A;:by.f ."=;ll ..rb.:r"r,} .r 'A ., f Y
*
-
J
, or(Jr ,.rll !-iCr )lu-t&tJ-7,s.tq1,
"-'-")'t;
i-
d, $r y
tPt*.IS oL"-**
y*t
t
'
!*
1F-o
arL*.
f- fe [b)lrAr;i]5 c^c;i
tJ/
d-"oi
"rry
.-f
I
o-
Yo
,fr..rA
ary*t
l'i! I e*}-' 1'rh^et t;1 1
qli .I&t 6-' e..7 k- J-,"Jl iq.l a'hnJt ;" n'^,1 ' Ja

15. .r.a-,Jr &12
dLe
r,
f-W
rLJ,.5al-a 6-& o-*
J+s1
i"
,,nli
'-a,J" g+S
f cl5 fq €)
Urt* Jalr ;,r *,iill r;*r oK e-# f+.f ',1Vro a;.t'l( g'-* J4."U 71t ul"lt cf
J.lu
-V
-e
)bt& il-T, )lr.a, '+1i ;r-a'Ji *!t';ef r-7) or<Jr l/ Y o' r'q ,-*
r.!
. a-SJq 1r'r-h.aXr el:f (.rb ,l6j u'r.;'o iI(Jr oio
'
.5-n(Jt a}:(Jr c.;61 LoJ, dJ<-,
"o{,l"
t +, ,F
;A!#
4p
c/$i;
gj:*o h,
A)4s11.r-i,.
"r*;i A!,-lJ U/
;
t.F.r--i
.,
":--Asr.
y.
.
lPJtJl C
+ ;{li-
4:15 a--e
i,^$i:
3ur
,l
'l"a'Jr
6'|t-
rt ' '
a;15
r*q eP) -A
'r''c '-rUr(J 1rL-J'o
ttliw
f '6' ' f " LlLlS dLA--? il'"*rt:t 'P
. W JS ,: -r*:Jt j *J^+
Jq: J ,.rJ i
-q
g#i J-2j
ori-o a-s
o''
n*j*ab; *:iujltsour(]r )f
Ll'(Jl
,P
:;tf
ut+
,-Pit*-{ t<J c^.,r.f t..-r''c oF- ;" ! '.A
r'U
o.. alKjt oi c;r . pa f .. LI$ &t-J-pr 8? c{st'o't'-ljarUlf-/
.*s ss-t .w I a- ilq
I a;lr A e
Y
io
r.,u
.,le
J-ja-:Jl
,r*,-ktr-lri 6y,J"..,rJt.t-
io!
o*-Jr J.u e^+ ey:-lr
-r,p
.6-#1 ,r)'l -h*Jr
e
yoSS-L"+.t'.-ri C
t.LJ,o 6r^"*
.:.lJ.i5 1J"=J-r
,H- r*lri .Eir*..J, Jr'1, p--*r €)'J"+
.1uJr
.,lli 'r.a ,P
o* C J*s -' r-.aru il{tilr i-it:l''t r-e q i)a
c^l.;..r.;a.:Jr 6rl.-,rlo Ls)Jue.wt1
flr1o-plfq
J+s J ,-rJ"i
rt o " a;J.l rz Y)
"tr
f . . a;15 p*.e SrlJr os-p ,t' J'*'-r 'r'a'tJr a'!u- E I cLJ" 6yu 5F t,Il
i&r4
f Jtll J 0.
,l
t:1
our(]r I p--*r ilrS;g
Ls)-l.;-"rzr1
J^e
bt&.:i*
,tWf
n--rrr J.t; -, csy-Jr
i.o5
*p
;1*^)r 6;'rua
d
aFl .,,Il
J''j;
.9l't-6;,
Y ta+:!
d
Jt
b)t yJ or'
)aeJ&iJz's
o)*a;: p{-
Y
t'-1
ALt db-^7
k-W qr'r
'
dn'i
r 'r? 1'
de,
''o.,i'
tPuJ;S
Ltl -
Il
3Ur
dt'>*'z
of
6F d' h"Lt y J ' kt"S q-lr; .-,l9'i' .#
a-$]l .,L Jairl 1 b.Lt.l 'r":Jt )
'
b# i''s 'v1 ., 4}i-'i '-"t
t
-

16. r j&
uz,s,f , d:'
Lluls, o^'*e *
i
* ;r J'r'' r rr*-J" o-p'e
-'
-S'
o
I bi f
6-$J J^e hi^d
.r:
,rt*J,.6-x;..a 6-& .-J,
r-i!i
Ls'bad
)
l o ulul5 dto'^-? ile
f-W cY et"rl-J ,.P r- Y' ., t
otaJl ) t -fu c 6ib j&
c,,,i'r' t:1 J
6-#
(sle
-Y
ti-aj )AeJ&L26'
*!uJt ..ro w c JrJ
t allr c{ r/ 4ts ;s-f r^1 Lo#^-{ 4"ir
t ' t'
#,tJ-ox;'-.o6-&&,{ r- o'dJ-pJ".-t;*ti cd
U-p,O /C- y dft*{
kruJr
il-J
Jr4e 0i
cii ' .lr-il -h}t r;
ar(Jr 'r'''' tE-rr(j UJ3r c;r'f L'J;l d,<*.r
.=i toJ-te Wf*a w,
LPulS'Jta--''
'y
6i
'^lJ
-Y
i-r6
cri'r'' t5! I
t ot'Jr J! e;-alr iu<lt
'--ji'.^,--,r
,,,-1r .-lp
"/ I fS
:--L( ai..-a:WJ*3i
ta.l5 p"e
'0J<-d/a'J+
iU(i
r'
JlXr n-*
J
''*
4' f
-L
02I-(r")r'7
t
; . "6 ? {'-U ;/ oi f ))-f & eE
ihl ;.,rrol y-f &1&t ;*t
a}.(!r 'ri
cji
tal'S n"'-:o+'hvj.Jrqrr*-J"op"a6'&&L';
"tz1 d ' cl;(
J-.4.liil
5! J
6FJ
*s
'.rI9
'L;;Jr
i"+ oi c^ii ot'*r.
i:;.7rJKd.t-di-i'r.-irUuJr$rJ'u9r-*Jr"ot'?"''fid"-L=l-ry-"'-t.i4i
l'tet aJ+p ''t-ri ' 'r';a;Jr asu .,le u"'}Jp .l,'":Lt d'/
lai-a}r l jalr d r*:J W i
i--C
3-o
-o
)'bt+lia
'
* c-" 6-# *b -hilr
11'' Y' tluls..lr*'-' hl
. w.-Hf i d *+rJt.P r
.J-r'i ki.p d/
-i-::--c
uu'J
"'"fi
f'
ai-T;;uJr jJ:Jr
-e
Jr+' 3 rLJe
|5iril -t'CY
c-Lai r:!
. .!.aJr
e)d
s*Jr a-t<Jr Li
*)' l- f
-1

17. ,/
,rl))"a ,r-Lt<s;)t t Lr.F,rr (r - s) -4/G ! -v
r..-.--1rn"t
ttr
("/ ,trL (()
o&lf rr<
2
-leE
nnxY--=P+
€
= -D
l, r..{ f. = '? t
(t)n--
/-- -rnX i = tttX i
fry "/A = /€ <:
t^l
"!Fr
!
/r-
ot1
/r,
:.ff
Xs:
"j,€.
e = /aJf :'
-1rr.Xso 3 'aeo
(t)
(e1
n-
i.
A.X c.
=e ?
/?
Lc) (
=gc'
L) C':
1...Xoi-Dcto
1n'Xtc.
1 rr.X co
O
z cf...- = lC.,.. ){( =r.p -'"
;i
5
= P ('
J1-c'
=P('
=
6
"no + + N + = i
Xc'./ i lr
f--t. J - €
f . = .xc = .-< = ,J? qfl €'/r)Llr
- '-'
"'

18. or))=tfut or: t,t, ,JFrr (r - c) +,G
(r
Jrr-a
Cu
r llA FLt z oL)' B
r.<
AfnxL
r()
I
N.i
eL
(e) f tt
I
'
L1y-t
lrn/ i7l
c
v",lf',( 4D
,1/ ',, ' 'o
€
"51-t. =e('=.e
--1o,,3;(
a e <'>Pc+t+"L
o.trlc X< + '3
A€
e
J-lt-1'
Q;lX e
:t(
N'l
=
€ rA :o1
,s-D + C= L
"-!lr t- =P
lD: (x1+-{- = A#F
lq
,P ' JV;t ,*t
j.- -C
,-'i r)''),/
pr3 -tJt qrd;={ ;t,,r/*'Y'
-3Y
t
Yl
'^.--116)((
aet
1fn - 3 5!
r'-Q+'C= €
(L) t/Xt "/*
1( LY)
Ct( Ly) ui (L) r.
trr. X L
'rilf rt- r-o €
,F
rrj i- = F € nttt - U. '= A
''ff,$:,*,+it p7 );c,o,):o *J
-
*b.it
^'l'"i

19. ,rt;)vfi'r--^,ru.;
G
tt,
L'F1l
() - c ) ryt
(
J-*> VV
(r
1t(Ql f
t")
..if
-,
rs .r
-?
:Ja
'ru_-1lAXa: -o-t
1'r X L ' ?r"'t*-= -o L
(1 1f U- t €
.Jlf /q1 z-e € nr/txcs-F'
,-.* NrAtXr =i*(v)^-
J
l,ax ?
";;
t) "-
o1 = ,€
nl.r ltc
)r.xt'
trnxr
1nX1gat
LrC : b e
"'t
w
(tl
{rh ! X1 X( i i'a :'
/n"a
{ rFtXtC 2 '> i..)tt
At
trto
T.
;.L ). L, d ,S!../" >il' d "(crl
,r<)
(./
x r( =
t
J,y f'Y* f
.'
/.-,,r-q6'(q' 7 ec' EJ
(r)
2 'P q1'
Cc
1rr.I
(cl(O't
t1'
t
A'x
c'
lN'Xq'=.pAN'
'cl.,.-. q' =P €
al
t
t 1 ('- = CX11.
-.1
l,
.
rq ( .- =
=
"-r?r
tt'J-L'
u^j
f
<1^P
b</l

20. (t-
o/t;)=rri,*t61|r;1-!r
q,tlJ-v 5v
1,1X.-l,o -+'-llvoE
(r) r
11rr( ..1'"
c)
-af
Lt)/ () E.
'Jlf rra =P<:
rso.--(r/11-tn'
o
(P-.Pe
5trY
=
5ta-t'. = €
rr'(
(r)
((
,
--trr.
/
'
c a'. {f'Xe+
/--
r
z'D(' =6
,s
='C
x( or E .6 (,o.
rtr
(rt
tA. X (..
1rr- X (o.
"4.
/,< lo !
r
l!1-
(rl
N'X a. : [: ( X (o'
ff-
dtro.yY,. d,F
+
-ll , ( e'ttY ,Y : rr.- €
(t
q $'X K'- - .tv--- i
cl lt,
', ' x Y, t(.r-
c".,^-
r
tt
C-r)
(('t
ar X (" (('l^-
t
Ftc
*
r

21. ./
"/;Aaw6]t
$ r:
L)
l'
^.-l
1
(t - "1 ;',
/ ,)
-_+
t'X o"'
tsJ
.ra ll- X ( -- z ..ot"
(r
f
(.)
I
1t.
,f,
=-P q=-
'rtl.-tA
- .r
=
-e c-"
(')/ () E,
tYl (
( ..
6 "
tf:-D
.€'
L 1t'X ("
1n'I e--
G sl-* 6u
i i>orr
aN'X"
+rl'n*i f h *.- +C r-,- r.rp .. .F[ | J^D V *1t tv)l-'
/
-!1-- l r = r(qN-l-',A a ,-e* L' L
Jt4;r 5- .,Jt y; (/''c{ 'Y1)'
;? y (>r" i0t
!'--s
'$-l=t1
l'-e I
-'-
-(Lo=(Z,"*_'<)vv) rv
'
iL':
*/',tr4 *V(k"tr utt^: t
?b i*,-)l ir)>.c 5.
,rU;tr
'
1
?t'. t*
=N ;
+-N
-
s.$'
i.d,'*' q,fr'"
ts)/
t'I
J.ir
2p.' i!r
--^/
frj:U;,
)P t ozA,!
(.)
a
--
= Ds
: 9(
Y 'a 1rf"X e - ,.rr- -lrntlc
t) O. tt ) l,
nl1.x
";If<rLo =+ ?
c
:r-o (
rA:
f'U+trvyc= )i.erL,vyc t €ll4'n'--" = ^'P
Q1 rL,v- ?^ttlxr s /1'-o :.
;*
.P L

22. o7t));=do-; o;)1 t Jtfar
)rG lp
(. - c)
7v
tr
( (ta
| (hr.{/t
I
of,'
)t-*. f t.'.
Ir
tr'
'.JY of
/
&)) V;/"))
(. a tA'X
f(r1
(e] ( ()
!
'***
'*J'os'
I
< nr.',f
r
f(.t? qt'Xf
(( ) / Lt) ,F-
tFt c,^
Q,b
€
(|
,A
t
E(
t'
nJr .Jr
.'.
u*--i1 r .1,,
lt'"X t'= P
' 2 f9
L'
-ea'
#
qN.X' ,-2t"
, $-<t,.e) tY)
{
nJ
-o1'
Lel
L'
Cr
-(-r/ 1t--+
c
3
+
,/r1ty*,r:-
vly i, dl
4rt:(L'
^'
o.x T) qc 1't v'
f.t-ta'{r.
.f
n1' x
(e)
o,
'
'x
a' a o1'
(-, l
ttr =42 /o,r-=Atr
qrX
i
= Q1
-;LI e:N
€
e
tp,
=-P
(.=
|
€- -"C:(t
t=?
€-
g

23. ./
br)A?e---"1 .tJ t.atrdlr ( - c ) c4,6 J2w 6r;
ov'ta4r^f2< l1rX(
I
B
I
I
cYga* iu,'Fs '4)r 'J1
,Y9 );' i*1*) J$r' /'
' i
F=,1 -.
;tY=d('51 1r'La-o/''+
-,
€ f /t/L+'s6
l-F!c =L
P
((
r'r-P*{:L
?
r--
F^-q ''1l'/'-(*)tw'
p6
btgfrt
)-o €
)']' &o
,c)a.+e)
('re'lXl -i -r't
/-.
-
-:'
J);- t ,i.r) r;i '/ $r ' ;;Vat ,l'^'b))*-
;J 'i* -Ltr
.= br=rt;;":='J'tst"c -+
.r!1 Xe.-t[t,c)= ' <=' ,a-t>C'+te= L
t
i- rA =i
€

24. ))=rr{"-^r cr ;l
ort
<ht1rrJrl
.,
( - ") ')
J;f
1r,5a(c,,,o **r
' ; ') )r
L'v
B
6<)-uJr
Jt Wky6_uia Ute)_+,€
I
I
6.
I
I
ln,*.r'n
r
Qrr(
I
t, I
(c
"i l-tl-
GPrY P
*&lf61
-ar.'xA =41f.
1r..'f,tte a ,.-2-o(s
(c)
(c{tt){'
ln'Y1'
*,[
-a?
(V
f
<.9
r<' iril tf,
'-
nN'X
Q €
11 )
t
eY
l'tot;'l u)t tr tw4:
d ^"(lr
1 -o(fc'oicr
(,axq1X < -- tL €
( -' 6
(2e c -+ "L=L
Slfrl .= e#
d (iJ'"a2 aa
Lt' s-{tr r i--).rpJ1 '),f ''P/9 ?
r'_i
,' Y'+' '-/ -ilQ t dtf,,,: 'Ju)J
FAr/ t, tA 51a-
;?rYP @t
J-*z 4
*;'i"AJJ'V)"
, f L() €.
+=P€
"cf*-tA
"j
o(
qn'X ( c - 'tsi
Lt)
qfr'x(t
i-ott'
( '= e /t-'5
U7--ln 'a,.P
crAXq
-o(-r) = ' €
tr
.-Yt
= (o-1 . =
(-f-,,!n
t <r €
@_*,i * I),G,," -r.,-( r
u
e
<-o-D(+ *=L
,<so
<
.',

25. @
a)))YO|JLr:;),,
,/
-
r-frJr (r-c) < 4;tG J;c Lv
.-
(rl /,*^,
(r
.
j(ro+"))
(fr*J)s cJ
;.
F
t?
fl
= D e)
(c1 ( ()
r{.
-
S Yo i -((orr"Jc)
5 Yo
t to +oJ)
Yo
+J
=
}..J.
= eJ <E
.=
€
c
&ya--- t t'
.L(J(r A x(q,A (6 :i (
k
(o+Jc
<D
=,a€
e
,--o< 4. ta=L
nN'X(o lc + n =L'FL'
to + e) c
{o =Ya+ejq
1. = o)c €