ry) · Prob lt'^ 3 Tl^& ?."fr**t r r^r*,u.{l^,d\ a"^/ ue&tc^-b d) d?"tl'^-l-tvt 4,4 r.c't,d=A t, J...
Transcript of ry) · Prob lt'^ 3 Tl^& ?."fr**t r r^r*,u.{l^,d\ a"^/ ue&tc^-b d) d?"tl'^-l-tvt 4,4 r.c't,d=A t, J...
?[:srts YB
?ro), {e,"^ | :
F r",-t Exo..,. So lufc'o ns
aaifi',--{.lp, FL : ?e Aho = @'*n1r) 2
3= lX[cr^^r, A= 2oocr"ta, Ia"= Scr'a ) X= 9'8 */t", wtv=3oog
yflc = 3A t"-YYlb - -l-?--*ot"^'*Sc"r - 30oA = +oa7
Cttl
YYlc : ntes.e ,) .\0^@: 7OO 2 (a)
(b ) g1 = 3Z A ln,: fl. ? :) usr'7 slA =ry)hr= fnc. Lo: ?,o nsr.m= 3'Scwt
ll)c*lYlb l0o0
C4 T l.{. J,n* d,,{ d.D *t^4 t r'r'o['s *t? td. rs Fu - * ' 2 '5 G)
At e*r.*, a. d;)pa cr.rr, t X = ht - L r : l' Scvnt
0Ad. +^ tu') h , & buola..S l,.q t5 fao 1nh,^')'& L-Lr
So , F; : +-Ax: '.-A'(l"-L') = h: 1+ :) fi^{Ino- lt,
\l sroe iSocrr*| -+oo
X S'. l.Sct't't
S/" tn 2ol3
b)
l,.ct yaLa cylaueta rydlA"^trrA tS , o1^<
t*W1 fl oult-h,-
= I(.73 rrt\ [t=
fi)= 16.+3r.d/5
ho- [n,
c.)
Lcrr,^ ,,ttL ou;'!tr^Lfu, fi' = 4Sr\ tJt I
r) D6^q6: tJa = (J(ho-1"')=
YYI u
fic-
$*.x = 2S. l.*ls
.:z;-*
O= h) o, cr;W-f " =) YM qX ftrau t'ta
LScvyr r l/'?3S
So,
(4) 5t^
s 1*rAJ
[e) TL4
AS-
0r ruo frc wl.> Y h
.A l{(.'jll.
+T'I
d^:-24n' ,,..,hl - b* , t\ otttt'.a.zs d1^+ o'-' h "f) '
K = L,/rJj*; = i ' 0'+ 0'X 'Co'zsltr )': o' o zzJ
--A
h. = W+L 4 ,^r/out laird = 3'S-cvn'r
!e-
l11c-
As_ v - o.oz23-=. ?.sn,0-tr-tr'/- T zqSV K
Pr, b \e,,,^z
So, ,"ol w,Lralr r) \(-E-V9b-.td vvtofu^.lsl. 3 =. vn aSS 8u.r1)
(}=
g =, - V #l
edarar'aJrc
Assr*e. u<- l^gue o *'k4 tl ttd'-'L ?*,
?V= n AT l^b'*1"' htr\oofie"''^c
Ilusr/-'.*,^2) 3: rn'N =V
S*o+ : 2 8ur'orrsrf
ar-J, d,tc-t*,'^c , [I = M* o l\ * rlloak eJa"
rn . N*'fl vTlc Maess { e*r* n- u,r *4 t&:) YY'I 4,'r+ = 2 rn *o*" t
Fr, b-^-ll.'* td*^'l'r',
fV"= c"'wt q
So,
wL t7*-* [a u"l^*Vo-he f n raa'l
?= cn'-tt @1 |!-) =-Yg.=FV+ jV l, Vts+r
dV
B- \(? 'f:Ce/Cr, :G'*R) lC,
Ct= I R :. lf"'o"'.r : f= il't:z2-
&=.ER zt ^6d'*r- **tlzlr/z3 -+- E.21,= U X*not,*d-F's- 3 2r zr
Fn
Fn
r^/tor^ o o-*t u'r'ac ! cs
d,t*c-&n^^. c tv I
a Ua,o+-- + = ;B ar.+ : 2t
zsB **r.d- )^ tz^l Sct4^t Fars s u {.(
O*u.n =
I
\lz
dll/ so v'v
t)^r.^o.k
Prob lt'^ 3
Tl^& ?."fr* *t r r^r*,u.{l^,d\ a"^/ ue&tc^-b d) d?"tl'^-l-tvt 4,4 r.c't,d=A t, J Ur=If
Tt,r-^aa.^^r*,fe-{ l.* t* I
Th J,l-r'>rA t^;" *t'{r-'7 ft^'s
Le,Wi A,rfn' n= [r
S tA ,l fia,-> tt14,q {^.Fe t}t
r) tr^es n-'J--t44t blu{rtc) I wfnd4 la ,.^/}-t X.
srJ'r,,/5 r In = 2 "0- ,*'h -!-=2O.!t'1 :' th7 'U,''lI\
, Ft =- f*^-*,'u t n u.
f= lness/r-"thXt,
rr1 - sr**,1-
h=0. lr, *'=h ryt,rr-ctt^ nl td"Y
l\-Gvn' * o.2 Yr't
A- 8"10-rt3rfl
*, ,dury , L)- =
So' U=J X : 8,.11 =l Fr: Y/," l-f
It14ss &"*'b ,
a tyt= l,(r
:)ttr
r=tI 0-Y tu1
A.-t: 8 ooo It .o.l *h"
tb ) C*u.p l^,^ ^ ?s':C dD
d= l2xlo''/'C e'
So -[r--, * cl"a^-tla l'1
G ) Ts ^x ga^^A'T LotL, M \'.,44
E'_ Ar.A.EI r l"
=r Fr' = o't96' *F^
fl=,t . jrog'^Lo.?m)=, 8n lo-'[t = ]28 N
s' h^
Se t*,-v,r.'r' r) F=: 12* tV rr'r u1 (h ofu ty
0 "C ete.g. fu,.;d( " t t ''t d"7 t"
A,[= lzi. 10-6* 20cvx 2 "C =
A,Q-= O.Ag rrtn^
A !--- "L -l' AT
O.O q I tmu\
I
}(
d, t.t 1 L 1 tx ke 3<'"*' t'Y t"
,-'}". e = &*,6c\^abdL"Jt^4
n 2 Zoor,{Y-O.l*,W'* x , ,.^,
20CInlD?fv/rtta
6!v
o.2m
-' =6lJSo r-x it" )"r"qrhn D
T-l
tA) ils,*7 [*].,(,), t"] , &c,.r..clr^da d",--+f\^.rhtr\ -l-",]c^nkry O l
Fr= t28{V*6N= 13YA/
S r\ cr le Fr.^) r) T* v1n&r.rr^-[ ]o Fr"' t^r,t ho ut h lrr"t+n ohy
d,' = \t Et l,= l-023 J, : ro23 Ha f*a^,",*[J /r1.^.*)
e ) O*.* l^^l*") rs J,'- l, = 23 Htr
Tr'^'" be e*r#$.& ur^*)q11uq
-T- | = 0.0Y3s| - l,t- ,,
P, ob le"^ Y
?- AO :tS-A T'tv v ,r . I
A+
?= go,,r* e;.ttn'{cL b2 n&"afi'r^
A:2rrrh+ 2rrr' )
h = 2, l't ,a'
€=l{+=
l.^ b-l-^d^V"d-7
F r-,
AQ=
€o.
I {o? , At=
SAT\ A+=
t l^ e*,.b*t^i.oz.:
s + \',."tV'-7,t'-t Co)
tb ) As 'l't^r ;r-'^Heofi ccf otb'-
So:
2.12,'o1J-"C
Ttr l^r.* ,r-od^"*t4 f+a r*cs' d' r) A -(rATY: tt06,2 f,.A+s
At= C.AT:) 2^C e)
3 v"4)Aj- =Af
C. AT - tl o6.zJA+5 n oc.2- 3
.S/
;:6 r=
dU t"*t no-dre.lcl.
l-* - -T st"^b
AT:
3G,C _
A#= 2.12xlosf ,2'C= s28sttoe -2 1'c
5
TW o a.^^ o. ( €/ts1r"n^-o4r y^ b car^-e ,3 o-r-r-^@
t's cvt-*'a*'e dUr.^7 \ ."f /h-' f @l hJ\.ilq h
dW A* ,r*dn1..{<-d ?t* rzt-u^A a-l*o &- oLt34-a-1
?-L1 V crr^f\
ib daur*r'4
"**.1*(t cr;---a* 4 "*xda< d J'f-= 0.2rnl h=l'Svn
C= S-tr+i'l0-E a) T:Q+t$e)[=301Kh2 K'.t
2Yr)Coos :)
S,6? n J0-8 n2'l\ ^ 301't^ 2\t)tao Z
l*t r.dta*c/' rt I d^7 ' & uqo*s efu t'/"tL\ l,"a'nb u r Sers '
1r= 8ooxlo3,Y-168 J= 3'33a106J
P^a^)
nod,, zbt,;t1^ r,nl ood'-1, fe"4e^'t'^'4 d4 c'4-cA/cJ-d t&= c-aT
C-- 't.168trr!loroooX:2"c
a8 =
?"
2 8.+flr=
[c) l) ,"* t^n-- dt^n' so{r^+ (n*:-dt*v
Ar= E c\=r." (3] * lM1J,. A|=ZY r3e o0-s
. l,o€.23, = 3z+.3KZY'r 36 oo t2.12a lof 3 /'C s
Tf^-* ca,.'& ha rqhfr., 44\cl LX v$^-l-A ptit Y'hvt cls/.,",)t' l-''"'lo-o-it"t
Ne-d tp ru,/e p,*-*< aL!4er@l"J e4uo.frvn,1 5rtt Lt'f lrt-Ld^u'lc4 lewcno
49 = -S kTYd+
) d&:cdT:)
L* :t
( tol (- 3z?K)
ert T fuou*soa
A+ :,-D
C*1.:-sATY'-r 4:-qd+ av C'
'Tr(-d+ :r\ +:-*T.rY
ua_t
jftt T''
J-'-3lo
U:,.^7 fu; 1-"*l^
U\t*l tt^ ; /a' *
J-=r3,t
304 4+ + )
-
-->Clo
, T, ,> l^bl [a'-rl*dur-
l,L\?r, l0-r\/ Y'
)=
w1,a^A f6 =' Soqlt l) l\^ h-t' lt{4^ttv-t
3 crA. -C
3, 5-6 ?r 19-6 I rjt ?-
2 .q2 r l0s
tudh [f=S28s, $r'ttta I
,*tt" At = 2\ r 3 cO$ 9 A4' v+2
.: 3o?. $ K *t .,fat't'rt'*il'-il{ lb)
; : l ot 1,1 K
0nrble,.^ IfVo. tou,,ut - To&"-{" 0"... hc *r.,arj, D cru,-.tar.n-d, , Tr,rr,h "lh ,E= I }.l fixt-U*t + a fVft1 H"t)+1tZsz
t-.'02. fi*re = 6.6\ x lo-?* ^l
[a= l.'l r ?' ]0-" 3 lkQ= 3.3rUJlrn'{K
ts; rr1 vf lq,*h&)'rr., rla 4{r.LLrs'u1r.
E =. ]. Nl LsT= fU,flr. ( tt'*t+ zuJ) -)
-
3.2
l- (t)^t+zu>'I :' G)(}l xe
1$o
Ct I ? V: &T,
F- A'tLrV
) v= h.L' j'
3-.?1 .Y , {3. 36 J
, *'fu -0'=Zwp: Fk
ATL
tr= l6O.oe N
C) =. F'f td -
L),, : \ztt,2vfs
,hl)a=
nne st gaobolAsPt-{t'rl. 9vrL'belu*
Tb h[iA",o.nl *, kJ)-, a,J 4th 14u,t'br f vvtl r]an-q' cLnd-f?*-o sa..^^a 9."@)
(e ) I,-'t,'{,r, fu'*ost (ttol>Jr<Q s6r'uot tW
T.^- *a v r!-t'b r t'(t '1tu'., s { *^y !'k!;{r, *
F[uJ- Ct]'e-mL ) vrogxrY.'u"t
2 q,- ry- tI':,z A6T
P"o b le-^ e
Cl^t J"
-AS= 'QrT,
toa v
t4^n n q)no
l,t wllv-0t r-e tt'.
{r}
Gt &,: Qoa, d= qol. 33:3oJ(J= &, +0''-Q, -'
C],r*yrr'rrr,rlrof1 + u"?4r\-L1tua Icy& 'IO-llrCLo*-t-rl\ a/'\
"ot) 4 Ln'a-& n,0't"'e-ttr'1
'v' I
(ua.6; rrfu ^clt* t) st'k)
3o. f + 80 3zoo V loo V
Ir.'e cLa4t h t,^h,f5 4 tkr,"r c5 & .
^fu d?*1
) l^"d Q.,Q3 :
*-Qt: o-tTi
Y0J: L'J,-
Cz
AQ=-Q, -Q..+Qr= --39- l.-Lil , - t, T; -r, joo K
Srr^a AS > O a,J wlr) t: c r'*'zv^L*A) 'f r5 c'nutcl'ut
)gwl (t iL-!""^^o&7v"-o,,v"*'r-s '
tb ) 7-) ,1 nel4"r-*A; rt Q ft't-"-o'--\)* d)t A S - 0
-Q' %. -r9' -*o , d f=Q'+8'-o'Tr -T- T3
Qz- cJ+Qr-Qr:1 -e' -g -gTr Tz T-
0, (+.-f ): a,(+, -+)"+
+Q,T-
€)
t Q,
-q:t-,
+ Q"- Qr =g0J-t{07-lo7='
+9: =Ti 3 oO zoo+ lo -loo
-P-9o.10
Gobte* ?
t") ?v= n
tr^1, ?tz
0T rh l.T=-T,
.2V =v1 LT ?) :3OOK3
T^2t ?. 2 V-- 2n RT= a LTa :2Tz: € ooK
tb) Cl,s^,* r\ -o^'t ar '1-1 ')
ft e tl-t-, t1'*t^ Y e' t\ tt-'
3
t^, F-, b lv,)4,r^ I a'^d 7 :
tt* l^r^. 68=- ?d'V3
t qL drv = nTo^zTTt
/ ,Ll * h L^u^P"fA .
A F,."+ :O :l
( 0^l? ln1-1a"t aw"n.,L)
- 4Y8 3 J
as- I r4v:,T
G ) S ,.cr ,-t o a '*to"n\-Lq {t wa-zt A S",., \r - O
dtlrr&gA
(a ) Hc*f r:,".tt *l^*tfr'*r[ sf.ile t 'o "'t"u-d]'
Fn yon, A 8,,.f : A - L) 9*" ll-' = -T3 :)
?t &, : f {1"'^r Q= t"'''a* o'l' s'nlt--d b1 t}'StJ = tilil gufun"'J b; ta's'
(J= c.i,r- : ?AV..== n !], (zV-V) = n 2-[
L-u** aVswL,.-d, Lr'7 W: =:*= I r1^ p tt,^g L't w / +' 3
fl to;-Qo,- *
Il-B
oI
z3rl
:l
E*
oI
L
3
3 ca*ta
fit,uo sfo$es ,
ttt , j-
\#,^' :3Lrhtt - " t 3
l.\h
F* = O,
€*= l)
€*=zt€* = 3 t
B' q
Eq = 3
€s = 2
es= I
eo-o
C0 tta,a
Y.n,'c"osf o k't
h+++ :
hh++Ll,l, +
h I,I h
lr Lf
3*€3r'{lx I
*"f.I :
#o&.-{ ry) r) 3= Ysfefus
=- t8 s*cfus
: 12 s*c*rs
: I sf"Ae
le
,1 dt* ulu*t co,^b'
I
Y
6
v
I
{otd :
Cu)T Le. #"&-[ * U1 v*t'tnrsfokt +* dl"+ u^ hu- -:y lo*
a-*>+\ r-r 3 x 16 : l9.S s*' *es
TotJ rar,tr"^',t"e'r ") vqa'f''t od^ob '')t€)
rd) Tte *rost yrtobo'bla u^a. t^o sfe de wr'dt^ t*r+: 3J r)
€.** lJ) Ee =' ZJ tS vvt iho rfo