• Center for Domestic Preparedness DHS (Fema) Field Force Extrication Tactics (24Hrs.) Sept 2013
• Department of Homeland Security IED Search Procedures Workshop (8Hrs.) – June 2013
• Metropolitan Police Department, Instructor Certification Course (50Hrs.) - February 2013
• District of Columbia Department of Mental Health Crisis Intervention Training Course (CIO) (40Hrs.) – June 2012
• U.S. Army Walter Reed Medical Institute Combat Life Savers Course (40 Hrs.) - October 2011
• Department of Homeland Security ITC, Instructor Training Certification Course (40 Hrs.) - June 2011
• Alexandria Police Department Basic SWAT School (80 Hrs.) - October 2010
• U.S. Park Police Basic SWAT School (180 Hrs.) - August 2009
• Baltimore County Counter Sniper School (180 Hrs.) - March 2007
• Metropolitan Police Department Active Shooter Combatant Instructor School (40 Hrs.) - February 2007
• Def Tec Diversionary Device Instructor School (40 Hrs.) – July 2005
• Department of Homeland Security Counter Terrorism Radiation School (40 Hrs.) - March 2004
• Department of Homeland Security (WMD) LSU 12 Step F.B.I. Bio-Collection Course (24 Hrs.) - March 2004
• Department of Homeland Security (WMD) Hazmat Technician School (COBRA) (40 Hrs.) - February 2004
• W. Virginia Laborers Academy Hazmat Technician School (SCBA) (50 Hrs.) - July 2002
• H&K International Training Division MP5 Instructor School (40 Hrs.) - March 2001
• Law Man 40mm. Holographic Sight Direct Impact Weapon Instructor School (10 Hrs.) - February 2001
• H&K International Training Division Multiple Weapons Operators School (40 Hrs.) – May 1999
• N.T.O.A. Chemical Munitions, Diversionary Device and Less Lethal Force Instructor School (40 Hrs.) - June 1998
• H&K International Training Division MP5 Operators School (40Hrs.) - October 1997
• Sig Saur Lethal Force Encounters Course (24 Hrs.) - February 1997
• Sig Saur Advanced Armorers School (24 Hrs.) - February 1997
• N. Virginia Criminal Justice Academy Mental Preparedness for Armed Confrontation Course (16 Hrs.) – Feb 1997
• Glock Advanced Armorers School (40 Hrs.) - February 1997
• U.S. Capital Police MP5 Operators School (40 Hrs.) - October 1996
• F.B.I. Chemical Munitions Instructor School (40 Hrs.) - October 1992
• F.B.I. Firearms Instructor School (40 Hrs.) - May 1993
• Executec International Basic Counter Sniper School (27 Hrs.) - August 1991
• U.S.S.S. Firearms Instructor School (80 Hrs.) - July 1991
• Glock Armorers School (40 Hrs.) - March 1991
• N.R.A. Firearms Instructor School (40 Hrs.) - August 1990
• Metropolitan Police Department CDU School (40 Hrs.) - October 1989
• Metropolitan Polce Department Police Academy (7 months) - October 1988
• U.S. Army Military Police School (10 weeks) March - May 1987
• U.S. Army Basic Combat Training (10 weeks) Jan - March 1987
Biomedical Circuits & Networks - Network synthesis and filter designMathankumar S
Biomedical Circuits & Networks - Network synthesis and filter design (It includes cauer form, poles and zeros, Impedance function, Hurwitz polynominal, Positive real function, Types of filters, Initial value theorem, Butterworth filter, Chebyshev filter, Chebyshev approximation, Low pass filter, T and pie network, m -derived low pass filter, transfer function, selectivity parameter & discrimination parameter)
Biomedical Circuits & Networks - Transient Analysis and Two Port NetworksMathankumar S
Biomedical Circuits & Networks - Transient Analysis and Two Port Networks (It includes AC and DC Response, R-L-C Circuits, time constant, Symmetrical networks, Z-Parameter, Y-Parameter ABCD Parameter and h-Parameter)
• Center for Domestic Preparedness DHS (Fema) Field Force Extrication Tactics (24Hrs.) Sept 2013
• Department of Homeland Security IED Search Procedures Workshop (8Hrs.) – June 2013
• Metropolitan Police Department, Instructor Certification Course (50Hrs.) - February 2013
• District of Columbia Department of Mental Health Crisis Intervention Training Course (CIO) (40Hrs.) – June 2012
• U.S. Army Walter Reed Medical Institute Combat Life Savers Course (40 Hrs.) - October 2011
• Department of Homeland Security ITC, Instructor Training Certification Course (40 Hrs.) - June 2011
• Alexandria Police Department Basic SWAT School (80 Hrs.) - October 2010
• U.S. Park Police Basic SWAT School (180 Hrs.) - August 2009
• Baltimore County Counter Sniper School (180 Hrs.) - March 2007
• Metropolitan Police Department Active Shooter Combatant Instructor School (40 Hrs.) - February 2007
• Def Tec Diversionary Device Instructor School (40 Hrs.) – July 2005
• Department of Homeland Security Counter Terrorism Radiation School (40 Hrs.) - March 2004
• Department of Homeland Security (WMD) LSU 12 Step F.B.I. Bio-Collection Course (24 Hrs.) - March 2004
• Department of Homeland Security (WMD) Hazmat Technician School (COBRA) (40 Hrs.) - February 2004
• W. Virginia Laborers Academy Hazmat Technician School (SCBA) (50 Hrs.) - July 2002
• H&K International Training Division MP5 Instructor School (40 Hrs.) - March 2001
• Law Man 40mm. Holographic Sight Direct Impact Weapon Instructor School (10 Hrs.) - February 2001
• H&K International Training Division Multiple Weapons Operators School (40 Hrs.) – May 1999
• N.T.O.A. Chemical Munitions, Diversionary Device and Less Lethal Force Instructor School (40 Hrs.) - June 1998
• H&K International Training Division MP5 Operators School (40Hrs.) - October 1997
• Sig Saur Lethal Force Encounters Course (24 Hrs.) - February 1997
• Sig Saur Advanced Armorers School (24 Hrs.) - February 1997
• N. Virginia Criminal Justice Academy Mental Preparedness for Armed Confrontation Course (16 Hrs.) – Feb 1997
• Glock Advanced Armorers School (40 Hrs.) - February 1997
• U.S. Capital Police MP5 Operators School (40 Hrs.) - October 1996
• F.B.I. Chemical Munitions Instructor School (40 Hrs.) - October 1992
• F.B.I. Firearms Instructor School (40 Hrs.) - May 1993
• Executec International Basic Counter Sniper School (27 Hrs.) - August 1991
• U.S.S.S. Firearms Instructor School (80 Hrs.) - July 1991
• Glock Armorers School (40 Hrs.) - March 1991
• N.R.A. Firearms Instructor School (40 Hrs.) - August 1990
• Metropolitan Police Department CDU School (40 Hrs.) - October 1989
• Metropolitan Polce Department Police Academy (7 months) - October 1988
• U.S. Army Military Police School (10 weeks) March - May 1987
• U.S. Army Basic Combat Training (10 weeks) Jan - March 1987
Biomedical Circuits & Networks - Network synthesis and filter designMathankumar S
Biomedical Circuits & Networks - Network synthesis and filter design (It includes cauer form, poles and zeros, Impedance function, Hurwitz polynominal, Positive real function, Types of filters, Initial value theorem, Butterworth filter, Chebyshev filter, Chebyshev approximation, Low pass filter, T and pie network, m -derived low pass filter, transfer function, selectivity parameter & discrimination parameter)
Biomedical Circuits & Networks - Transient Analysis and Two Port NetworksMathankumar S
Biomedical Circuits & Networks - Transient Analysis and Two Port Networks (It includes AC and DC Response, R-L-C Circuits, time constant, Symmetrical networks, Z-Parameter, Y-Parameter ABCD Parameter and h-Parameter)
1. -- ---_
/-i
lof ov l**.
Íbcl.p §,M".
e bo,.
ouf as b%
ozfou 3s"/o
ot f oY bs"h
of/or Erc.wern .
1
Aoy. Di |.r"e
Pqk cneuoomnW.
(rp 1e<-tu.
tt
?"o* eon"e Cnuz srnL U
¡* n üo
Lr* Jilráa
-I-
Jrilrcdr¿cuoi.
l)
É nS h'ü*l
,,,f o, )ro,t
2"5rl3 {¡r 1'.q
'$p""
tmra, ore b{ oo,ó A+ft Íofuv, ne o L ¿o s-¿,
f¡t^rDer* y-u$icrrGorn l-o u^n) *¡ern*o o,, lposes . d<-.r(7r,e llr¡et¡e.
f:rt* ?,
Lo¿tca- %+o ea, €o¡o ra t" tn¡,-,o lt^^*ono. )tornor dLLi,uy1q A«^+od.{os. & ¡,arrq ,C€ to a* {r* rrnnu oo., .& umo *ób b*y" rhto gu< &,.e*e srre r>e<
f*o^t^do.par ef trenJ¡t
6 G.^re q upr¿ r,e¿ ta [r- ¡*a sco ? ( u*,
"UW>
Uü/obb G*8u.o&r-ia odogta Uoun turn Eoqo b@. yr,e
Yawile ae>uü5rn ¿ e,ó-§dé U< ,¡rn ¡i¡&er¡no ¿ pmarrne ¡,.o-
%+O2 WLO bhn s;€ wt ce At
^$
- - -;& , :" §aredern ¿legnesemdor wed^ runfu- u/h t ,,tTo/h-
to .t JL * [ne¿ to), '! r
2. ll fos )zats
: a da V,W¡"
! .t
A wt yar,a Ak
brn"u, N. Un¿,r"h¡¿no
t'
'iÉilqeffl t'uil)
hl"Óp
E,= loep- Vtto
2n
tO
Rn )1, rrnyr">L,ro
¡ 5,1t, a)o.¡l Le>o T&E¡rr cot¿c,atq
p.üG L* r*rr,,
'{-ulr A?l' (l'
LorYt
VoUa fl¿**tu
3. 'qf-LtWu9qP
ü¡<¡, U ,t-'..c , € eooo cN q z §f/Ld,^,ru .!, o ., f,q tf$¿r-o>"
trXF . 5or,, h !,*e d" ci-uo^ k q¿p*t d€ wnt¿$ W
/)e uo lóq)"q ,
qA4,,*yry- o P&tfug*l-: e2 Q-r pnev e ernne t4 emh.ccq
neÉt4 ¡ d,
['u
to,
l'
A, 1t ,2t q, S,l
C
B,J 2,4,b,3,
nI
AUbdt,r,1tt,5
I
]
r1
A n s,
I,,
,,xJ
Á'
["]
onJúuAJ,,,,J
5. {,o¿ 52
¡>e- et¡¿,r,to §ouevr
:
F¿ et,ret&§- Q.m. t.,¡rc¡P
,
* trr-6r) =, CI,L?J 6u "os)
Ll,l'
fu[r -2o) = * (" -?o= ot*l
,),[
z i$
c) i#
'i r{
5) if
6 ¡f
?) .¡
B) ir
t) i[
6: tl*¿-tl6n
e>o 0,1&I
é= o oué
e¿o ona
6 co cmd
€¿o Omd
e=o ornd
e7 a @^¿
g7o o/yrd
€ zo o^¿d
Ae2o *.hrr,
'ti¿>o 1W
aaTo fwN
M:O IW
A€ LA TW
b€ < o ,¡YgÑ
b6 lo ,fhlln
Aé z o {vtüP
66 = o tk?N
6)tn¿t
a^f,^"
UA*'o'
u,l¡^*
enf, u
LbtenM
Cblf"^¡o,
w¿e,ab
n4¡-?,l/"vf
tecrnS¿o¿ ¿*n
¡7frsf wtr
b
6. 5r fst,r,o.
ioJ l
ñ
U u5, 5,b,2,0,
(
1l
:
I
o,'ltol
xn aJ
-I
e5
¿a
t's ¿-yTeOe&a,tD e, mUru¿t€n Ueno ü1o finac Ugu.,írq
¡ buch,h -
6rol,.P¡io , Cr'an¿o a€ h,aUr¡r €J,.r¿ uokr % o.n .l" go t^8 Ü orrrabLe
{ip,i¡ o, u:"4 , u tr^ , X ern c¡ry^*o dU P<ra,o tp $urnt .:,.n .
ó¿ ge"be rnez1(/ro De c,,.no¡r, Uñ o L"^¿ /'1 y --r- uoUnq.
E#¿ ,ocno Ao" ernhr.<, O,V l" I I , , i
LüdPrM::-
,o
5ulJ= I'I
"L
.i
.::,
,i
:
i li e11'¿
)
I x6uj
,5 I
i.r1 ,;'l
/, 'f
A = 5'q,á c
( ,i
ilil
itr, li I l
5¡ et 'Grn5.l*
o' *, 6§5cax-b fi= W +ff +
W'r.,, rl
Á= Z u»(l¡) i
lr'
7. Lfiloz)zots
Potls um Crrn5,,ucn b atllt C{fn bic*r,. Á =rl*
€,yclngt0
b*h, 'T) u caelo -
u'1ff rff r oi-H J
ui /z- x3 Ytl
Á=
t+rY
r':+ eJ+S , + r
+
(
AUP--)T,+'!
I ^' L
I
Y) ,+rY-TJ
9r*+ .?I ,W ,WlL ,t q sJ
n2* ?e+ q{{
Seo n =/* *
n=H.
tL3t{_gÁ}
8. lElua Jas¡r
+ %7,
sJ
efr
q
all
.l
úJ
-t- o,b
§
(ano) lw,'¿t
Á= l*+w':no-fi+
, O,l , O,»t
-J;
VLt
%ú
*t
{-@^Ou
¿:
IV,
Á=i?,T +tr S +
AnÁ=l+r{u?.T*
04 r g{*
Z3
l
UO
últot,g...=z:§
----_ :
ANA
qzl
sJ
,J1
s.l
=f-l +oÉ +L+orr+aÉi.
Lt z 3 L 5-
=!S+-o-rb*_'{rS+-r+l
AnÁ
b
¿n»uo=i lu,* ub+ ü rTl
9. I
xv lreluff
q6i
olh
cr)'
a,1
Uu[.*r"
,f,c boo. {-lr+l" I q -'
lJ
Lo
f,,
De 1*5o),1-+.
)"
L'
lX E(et¿ol =i f ,t,
[/
io *rü-aLl-.r
l
" 4; L+r") -s(-t{o/!i
I-
/-r ü-s' os tí s
(-)-r^, << ¿StO. IJ J -
et ucl^n
Prr, !lÁ^o_
fe -q{L {: -¿
J
il+nr> -z< b{ o
l-*íu-zo-<L(:¿
t b r(t
-¿l ( ¿.;í-L
-z< t <o
L )¡a
-QSLtO
o ( ¿12
z1L
t-:
u t1(¿L'0-*
{DE a Q,L
-rc 1¿l-5
-<¡ ¡-4 a,= v
-
-
nZLt-v
-¡olLC Q
o4trS
S4 b9to
e ¡)t. f.l6
l¿
A 0 'c,od»
€; % t,4C'.)oLut@t
10. Lf)
(-)
¡-i
L,I
r-)
. i1
(i t
[,1-)
Arud
/4NI
Ao¡¿
Aut
ArA
A'A
A^Ld
ftü
tsruJ
;l rf
3) ir
1) i[
s) ,+
6l ,f
p) il
s) i{
$i¡
a7,c
e-o
6.a
6 <o
e (o
E= o
e,7 0
E7o
C =o.
As2c
Aé >o
Ae 70.
AG =O
¡e 'Lo
te Zo
IE'¿o
AF 'o
Ag=<>
TLku
Tllۖ
tbt-1r
,Tt?¡..1
.TPí:¿'J
wAW¡¿
dtyw
frtcñ
CaWlol
enlua
cr(uu
e r"l^ a
emtruot.
oot¿nq
dAn[u
CAthtu,
fP+w¡veq
zYbetwts
't ,
2s /.s /zo ts'
{ott¡ o'o[** 7
(r,b lo = O)
(o y o'o).
[o r o,0tl: o)
loft '¡ a,% , 97,
hJ I otl,b .: blb i
§
?--
f 5 < rrne Wo r¿n
nrrn
phl,o W)4,/t 4§" O en p[U el
.
lrn, - C-aa*,atotn,)
be OLf-cnq. e ooL¡.¡'" d<. seu:d.ó
grnbiely«<" c¿rcnt¿o¡Jo @nd"ooaa,
oftT
, t r_=____;1
fLss tfzggtu s1cn s,ynnen) l';-lp7*..-tzw-
l= rG7 "
Cem§norcle :
Z ilr,
,J oz':CI
1=Je,
dr*,r+ú *+ o,t+glt+or1o2':
{tq : Qtb
11. _
t
e
n *^ /J rn ¡/yr.,ú J* 0* fa
fli,trn"
o,n d" frrvetunbwá o
j {)¡i, : C
tfr
veLouo§
Lomagu^o
{e)
Iy:ng1
5o ¡oo
&lb *^*w- (»,,r¡bfo ,;pJ= lq,z
rlala t¡awobk lwlri"h*
-ulo ''tn o
c) : 4o,o
(nru¿)
iY-Y"j
r ffr1
i,
t,
I
L/ - lo,
-So
U§0,1U do 0, b Lnutd*.a
S€..Á.1 J^f pa L,sa
( + -eo Sx< -3
e1o.: 1¿o, -s / o
{o o:X§Llo
r
tr¿l O *2o(r¿6-S
{¿trn:;. -31y ¿ A
í+(l-s) orx: rf{
.O lorlv¿L¿Q
^ C _ya{ t { O
iV,JJ-,X-r.', 4tx{t{. r{
lli
L ¡ tt(Y(qo
(a
J -:x
t,,fo
["
) r-tx+26¡
' a-o
l- (x-so)
lso
c
Io
J¡
)so.
i.= ,l
'Lto(x:
-2a¿-11
oSXT
'2o
o
roO
-o( X I -ro
-51 x ¿ o
Olx<tO
{o ¿X ¿ LCo
-tlarx{o
A Lx ¿ So
Lalt{rca
3/rah"rr
üalD uo';l,cl rrwnu nd iéoO Wv .
b,LIJ)
r-I
0Jo
bio
,'*u§
on¡q ym@afu- obferin¿o ),
f,6 N)
»s {J)
D¿ t?)
12. Iloqlr,t
güot,t^th l'4,2
ü(z) = gp -(tq.¿- ir -,/
t5
oto 5s ,
6«) 11,'2 o,§5-.,
r5
euo,t-o qq O.
Le (*) = - (x-sr) : - (?o,t -so)
-- o,tfb
,5o so
r5
x = W:,e 5o
Le @l: o,8l
Itlfñ fu¿,s'o,. O,¡ C :O P
Wú To,sdtg 9-osa10: C 'ñJ
fku» Frvern¿. O,9S; O ; C l
f{+G¡J TrBwt¡¡ ro,95 j 0,1$
= O,t?c l*il
TWW T¡Bnrrt o, §S 1 o,*t r 0,6t i.l
a[t+Éñ tol,o" ¡.. o,o53 1 o,üt = otosb (
'11+VN qr¿r¿tra g;o,bl: c A
lWtJ ust{rto^ o) 0tt8: O ?
n¡ru [b t§#t,r,a o/ol3) O,l0 : O/o53 I
l) if
a) i|
3) ig
Q) ,$
$ig
6) i{-
+) if
8) ¡g
e) it
E>o
64
É,.o
ELo
G¿o
v=o
&7o
ú>a
é =a
Ass As )o
A¡t{ A ¿ >o
AN¡I Ae )o
An¡¡ [U = o
Aru¿ fe <o
AN AE¿O
A¡u Ae ZO
Añ A€ =o
4¡rü Ae =O
'úLA
L10 ,Z=úB=Rq:o/Ds3
13. -------
rfo uf a,r
L/ t-" ;r ,
Wl
,,,{urf
qf
l-l
iolxl=3
-L¡lX I O
olx < L
6l x, I rf
[o -w9/1oI
l; o4x¿6
[,t b4 * 4ts
-¿o<,¡4-t5
-lf < x 4,6,
o(x ( ao
I
::,
-gol, X ( -rs
- 151 X ,L A
o( r( 6
tSl *{ ¡o
-b< X 1o
ol x' ¿ t5
tsa Y43o
- tiO <. X'<-,q.'i
-Y < x ..$'
lOl x ( ls
,f,a.er"l#
fo
C+
Q,r J,t
Lo
&
lo l
(¿t 8ti5l
Lvot
Lü:,')
t5
a
A rrn
ol"'
r 16-,iJ$óf,
sr)
14. - (tq r¡J
=.
L- o,oi
rs tS
+ = o"!5
y/u/,,i
e.oe[¡r,&r Q
r)
l
eo -l¡,:.ID=
I 16 r
E€r
lroo,l',.,*, (
')
X=
IS
X+'l
-E-
ir
t
e@)
b({)
é¿o ,',gy,.,.
b20 'or
ü7C- 0r ,
6¿a bv
g:o .oY ,
6>o' (}{,
6<O ,0r,
E :0 ,üf
é7@i 0t",
f§-"1
[t¿e: {o,ff - gü
,l
-3+q
' '*#
i ,L{
_,^ {. I
u ':
I
l
I
O¡,Lf
I
l
Ll
(U.,*,) (." ; o) o
n^o*
p
(üornr,) r(o,rd) o) ; apÁ., .,bóro .AJ
( nuq¡qab)i (0,93; o) = o, Q3 ol ro (
[üvrn,r). to j q?s) = o,r{ w*ó o,r
( Ourrnerto) (o,oo, o,rs) -- o,?( p tto ?
[ourrr.e^^ks) (o,q¡i q]r) : o,S], oyo r
,[ürou, t"i oi2'1,=o,'zr ?rP u
i*.t,ll,*rr,") toror,i ol.1l.) =o,{ yrcu*,a
¡ (o,q3,z qr5-) = org1 wl"o. f'
t.;
'L)(l
o,vl
0 ,P,
9iiP ,
,) if
5) ifl
¿) rf.
Yl r¡$
0¡ff
r) .lp
'B) ip, l
Aa >a Tk",
fi a') o :Tllru .
'L6 20 t16¡'¡
AG'¿ O -|}tf¡.1
LC
.< O flVÚN
Le ao flmp
ÁÉ 5 o, ll1§Érl)
¿e : o tu,r¡¡
La =o " lf¿¡1,
Pr-p =rfo+'ffi, o,}rq
q,b " = tt,})ufi
V, , ) {l*iX='
L'P'u'i
:O)1Zg Ir* | ,¡,))GS
x too
,|
a,zS I o¡qz0+ p+bÓ
98s x0
15. I
,"fu h**n
lá,rcLo¡;r..i d€ )* ff+ gn€rooc^q.le "i
flf,r{Ptr
tl OVWaáU d,e COcyu-pa^tt-o,¿n O*,t¡C,r,rv"al dL l^,Ot4t'ft^L4s/s
t Ok"l Ao.mbo¿ fon rr^o"la x-n ¡ñt @rn,,o o'r¿1 oty fu ¿ t-,,^*b-
$/,r1 t/r CD()"P-^*6 (**, ,[,a¡', c.»
1o-n
- t tJ<. .k, scrnü-t¡¿o,s á
l* cnqou¡, e
{-u+w* ( ¿rur, c." t¡¡ ; ¿wntl.cr b), 1-r* ebü-¡r-ui
d€ ^e
[oS.. .§0n ?..,.rr
rrr,tpq oÁ: I ttn^s rrwl*nLo- ) Q.Loc:ot otd ,
Q.cn VqtR- n*rV, e^ rol cr¡.,o t(rv'o" t'rs.
d e ry vñ.< [.o d¿q,ür ev^4
gLc uol"od.¡_,
¡
r ucn dnmvmlo
Q" á'¿ [< ry¡,r
dt v ga ba:
l) oBcer Fone
flet o )-?- rn
p*e;,&rn e1U
(wrP
ot€ (,pmu N Laqvn
$-we e.&vn, Yrvr G
from*
L(n, ar.n furt*,
dd 'h'§mL",€,uV o '
frervrtlCyw"r ó€ t0fn FCr*e
c€ t/ Uq 5 % *t¡a- sle,
oLZ e" h'rr¡r,rlo / p-, (1,
I
Of -r rrrfon ru¡ dd ¡n ! erntt-
» árJ¿rmp frf,tt/¡9ap; §ue üe c¡. b< t4
§LrÍr..c,tfoto. ) tA, orn uro ¿¡ *oro,Se §-
e»to.{n,o dcfe"t'^a l*r*P, ,Ob, d,r!"§,) $*" neube o ¡rn tu*o.ua
) ip ¡oa {en y*t - s?, p*^* Cnno d-o.o, [-]onn,r.^o tu,üt , efu,
srn Fsc¡¡no
,tvn
U^¡ q}r 6o,Ora
ip eata
e Pc,Vw"
ó
16. ) n
6f o* f*',r
Loa
))ufic¡ocra d¿ l,at {r1Qtt^rlfta. tun 3- i
t* rne^^^CIrnp: /t¿wJem I^ s
^ |*rn^-0,^í:¡ W elteV, o elco
yrru
fl^0"" d¿ i no y*t( ao fl*
,,e dpnte da o t,,-,sé tV'oru2r,§, ,
«2 C,va
<l g lwu .
)- o..),rrq brn .I;n¡a
-&,) N, a,rr^ d¿ urdr$e
Y*gs
dp l,a
.e-rdc
")
t }^*^ro,"ru te LDCI, }.rca,
pa
fio,^^. d€-
l**ut"to de &my,ltt
o fn¿n q de @ocrr
ü á h** d( D.tL ,r^pl^^,
!^ ,n u'on;c e/ a C* v-
t<dru-. l- di'1|uT',,,
"",'
'P,t yo'ct,d d¿ )^ {Y P/TtuW .
é) )*, ,|un or-^.irr,ol% |no^rrrrln,, U9 6np¿rlao o. 1., rn{¡¡.rN}rn¡9
ü^rl" »i¡,u,r ernte , ,
,'r***
17. Bf''t f zzr
' Ü ft,r,m: o0 t" Wl,ueu.N d< áouvüo d.< t, üe.ua¿cp,esl-pfi-* ü n" +",^(#; ; y,@ru b,A ttup te ué
ff ,,* p,t*lso e,¿cf,w
f-"(tu¡1r ., 'M¿rno. t@
mu<rwr¡,.a
Utertw t0n lmo ¿r,ut lno¡^
$quwls
,t)@ * l_,** I'C^_*o.ta.u.o_dA *rlrdn^W $rr( y *p¿"^ l,o outL&! ol ¿ml-av, €le. l*ñ'ULA,t»[^^a § -* '¿ 'J(/'! ¡.
:
l
- & 6a¡2n?ls: net;lye' rmflnlaa rr,rú ewtw ffii,¿1^o ptnc.e.d..e¿te
d(- a)-b Lrurh.ú? ahp .;/qr^ u,Lty l"*- ruU;:ü
[T:: j k trn, (.ebo frn e,t "byout,
L airy";s 8eo" evrme,n/,¡,
ü¿ ornir¡n p*hn ü o&rh ó lb dudata, v^ jn *yo,u.o Ap;.;:¿d^$,,de €n>[e. ü le"firr,.rr-ado c^ornwalarbne. d¿ rta**,l- i o,qr^ndre
dÉ *: ¿ @"o, a{-o er¿ínrar ¿-§) puowkrn h e*oanau aa(-,'MJ..' c eistod y, qj, u cau o ü ¡r;U", v4 ,r*,I Undo e)
icngr lso elwt*,a'
|re un0r,.c
----:-
)"
t^r(
'lr:rz.t^.qvw tc" hr k
ütn¡r-e, t)m *¿-b-
(rrol Cpdlr)p o
o¡ r^." llu,-o
At tvrmnto- . g, om elpoyur*do
N¿ü de ocbuot^n i
¡p"¡brü d atpdo o
)' E = X,'Lu, + y¿, hJ. |. . .+ x* tu*
X... X, = tnlr.o/o., r
t¡ha de
h*"u (n*a unru.¡ec,top
x
¡Wube po"¿rob,
{^i( t¿
f'cr.
nute von.5.t¡ Lbñ
| (x) s,u,$c
X7a
rr"{
18. tsfo1[nnw
Y, ,,,X*, Ae,la¿^./da [rwdn fu1 ur^ 4/e¿Vwt X ]
tonn , ¡3ocnd,e olq I* Srñ)r" d¿ ln é.cr^.o6s is Cf. h mu^,t¡q1,¡u,c
g,slo¡)rc , Cn¡io &,id J€ or^¿. 1, 6U.o Y uarr P* oáOt"optc
Yr,",
ülm, OoÓñ y* U>nn"e,VemoU 0 lp p*Ulr dQ úü,a t''sw'*'Á
6,rh.o(h'Lo
)
/- >r^r*Ñr^o §,,rre (pnno, ypd" ü Cu-tty o ot¿ y nu).vcúw
pned+c-e- )@ á"t^'€to f*: ,!e,*, a- fuOa-'-"*,a E WQ nTool-e+,á'/o
"8, prw r*to-Ol,o yW M{l,p l*rnu* d,e 91.bo oaín O dE Á"l.rob +'U
.-1
E, +)* c ht,t o os^^n dL
---
--,l
:),i::
b,¡ed
SeXo y,
*.ck'V{
p"Jod x)
só.d ,u
hf" df
'tr¡evd f¡
UO. urcl¡J
vz , OeU"ap¿ d¿ u,d¿
lf,, ,gno'(w.[.
Lnyoi{
Cüqo
;ir
OLrt trQ
19. ttfol l^,¡ü¿o 7c
k)
5 i2§
,h* po l
Et-oE
(x rl;i''
¡
t - - (XJz)t)
,1
:
.t
Y= l(.x-ts
-fo r<
1., '.,
Y= -l-ix-tr)ll
Y - -l v
t* -'A
rO
ii
v- I / |
t - :- (.ñ-{roj
I
:l
,l
o,9
ot0bb
o.,
-Ls
:,i
:
{ Y 'r'1: ¡¡¡ (x - x')'
Y:-xI
-
lA
:Z:
-2s < Í{ -ro I
-ro< t¿ o
o < l:Sito
-2s< T ( -ro
i
-lo<. I I Q
o<l <S
5¿ I ( rO
-1<l r z.n'vl-v
,o<T¿sl
5éT<tQ
fi
mr-:l#
L_.
G
^trO
lw,/-tx-s)
IT
Lo
il*f J+L
-N)
i -¿
Io
f"
r,*;l(fl
Lt¿-,s)
IrS
Lo
f"./X i
)s
U
-g(rTl -li
,21if 1,6
:
o( T 4 2§
-s(T(-2
-z¿T 1 o
o1T< t5
tS<T'< 2t
,*5{T € A
, g < TZ ¡5
IS< T{ 2S
A,e «l
20. zlrv lr¿s
Égl*
6uoiu¡r
Ag*i =
Á=
§,
(- r)
I
-u
- l"-
á uo u,ta (, I
E(¿) = -(xJü
ll
-(l-§)
=
tf
.L
rS
: ,, CbL
.b,9 33
L- o,b
5
6=o
-Lu)
=rf,
tO
A-
Ac@t - (tlo :LO
-Ztto
tO
üi+Ar
d i[ Ae
3) i[- A;
9i+ be
{i[
^c6J ig Ae
Tl ,$ ae
0) ,$ aá
l)ig Ae
E=o
E=O
v--o
6¿o
0.o
e¿o
E)o
ú)o
e)o,
s
A¡J »
A¡,§
Attt>
AN§
A{rb
A,lu
Auu
fu,0
AN
Ttie n, Qok rnuo, fo,, , E
qil = o,; ?
ikra (1sa^[awü [qs ; .,sij = o,o ]
Iltep tmfno Loiqvil:o tr
ff6u ( nl *'s', Lq, ; oJ =
o b,
fttro {.r¡Lrn, f qg; ol 1 O ¡.)
t.Eu e»Pr". I o; ol _= O N)
Tftrrr,r CU'@n[a Lo,zio,o-6-] = o,o6 P
Tltsp Cott*1- [g,g ; o,oo] : o, ob ?
tlrerr.r ldünFq Lo; 906]: O P .
€,Lo
21. ,6tr, I0
-t
á--
z,r, f oYlra,r
= zl "/o
zo/o9 ltb,r
o zt')xlw I o,ó lQ I O x -J* . :
o,8 + CItLlT +a.
Zl,7
/, o)+
&k
,) 8n,
€*
€.g
"q<x!-z
-z¿x=A
-z< x <0.
s1 Y < Z
*27
x{ z
x !o
A1712
X 2.2
b€ r
x.< o
o4x<f
5-< v< rQ
^ to { x< *á
"*5 I xÉ' Q
x20"
{r,t/
rtt*x
lz
lo
&Bt71- x-L
lo_
(_o
(o
l+
Lr
'r»
2-lol'o' *'rU(*
-57 x'7rs
á -s € x<O
ry " s1x -<s
22. z-a/rr lwr
o 4ss
'0r¿
Qz
,)t¿
ú r.+
Ir{.g) -tf
,t) rF
$ 'Jr
e) r?
9t(
- ¿*!,b o
-l@ -to
=o
E,
¿o
t/ --O
E>o
e¿0
e=O
6>o
6{o
t:O
C70
Ant u
AND
A.pl>
fl¡tu
AfUb
AN§
Érüb
Aluo
,4ru u
ac ¿o
As zs
A* ¿O
AG :a
Ae =o
A¿ =o
Ae >o
Le >o
LÚ >o
&s [op;o)=o
rtumr la,r;o)= o +
Aurr¡ (o;O)= O +
¿á bP) o,u,'t). = g,t,t *
fA{.1 lorz ) o,uu ) = otZ :
Aücw (o ', Oftv)u a f
Úé Lo,z;otfb)z otz ,
hun @;rfÓzQ t
23. A ue
6u s
EA AUB((_ J
6nn
B=i ,r,€,*,T,T,+J
0t
e
Á=)9t-try,Y,1 ,4 %l
Ltr ? 3 q f '6^J
P- - i 4 o'§ o], %,g.,$, c,t t"/ (;'; t
ti' ?,tj
f,
Áuo=,+ 'nt'¡,f ,?,rfl
cue =f+ T ,+,r+,ry,o.q ?
f - , r j 0 -i
tnJ avv'i=
iS,
y, T, T,?la' '¿ Lt S 6J
BnA =l,Q o,s. otLr,7,9,U'(
ttta' s'n 5 bj.
24. b"genoL & )noeunoup 4.i,hVaa zilotl*,r
' r'-' l-- I
*8*ir^J
uo g brin I
iii
lii
J.*i -r
ot" l" d
irii.l:il
l;i
, P"*
ign1-sifua I
iii
iii
ffir.-i i -'
iii
li-
't-_&
jflt"
ii:l
i-t-'
,ffiñ
i '- '
ii-r.-i
:!
il
I ri'
c¿ , a,*d* qlew,ocnl2 iflr¿si(
p¡rt',coi ; , i , i: ,
"
r : : . : l
i
(ftwrs, i5-¡¡
i s"" r*.v-
pu,o hi fr ';l lwiS ¡ fl$tl1
'*':ol"i*'@ i i i ,
;*,0,,01 ft¡u:,), h(ü I
',w,4-,@' i0¿ O[i, ,Q; [* (r-,
i
o, (+r),
ti * »"
tr* iu'
gtefrr*Fntü ro rrl€gnn,rr,^-a
b , fii.ei oya"pa; d.r- 'iua
S+r:q- s .r.
'-.[.*.t
rrper
,,gVu;'o, ¿ É*tl¿t-F .'ü
d,k el.¡-e;te1;. I , i
,.;.;,.:l
. , ',-ti i '
f iYi-üÍ,}i'¿;;,
+iii -i''-i
I t* i j ,Ur i i i
.-,- I
-:
- l -aÍi*, i. i
)--=--.' ,^, ; : ;
'oúig,,*o'
:lffii] , i ;
lo; , , I I i I
i:.:,i::
1i
"qd-iEol.*j
RL) e-t
il
4 rt+
"rio*iti
'mrse,é
ru1]l: L
l,l
xl/ .
i1
,4:e-,,ed,¡t
ir
- i lo.lc¿r
1l
ál.RLi -e-
i"t
-1'*
&
"4*"t*
,t'orD§ár"
-t=.-.
JA-l l,- -
ili
x/l;- i-
('o;, t
".i (wY'
i'-i-
tl
-r-
l
iemf*.o
ii
1l
X,iy#/
í(*,1,,=l;
I ; 't',üUliili.- -l- -r - -.-t -t --.'-j
iiili
4;a.0 4
li-'...1--
]ii
iii
:'l-triii:
i- | -l '-
rilt
il:
iiiriil!i
i--.i-^-^-;-.,
I'ii
f- l-- --'-l-.-'- -
:ii
, i iúrn
iii
tij
llliir--- _l-_ _
lit
iiii I -f
X[t)r (
l-'t I
{)
i¡a,
25. ,{,1"1[-'n
d pt^ur^ * ,r*,g, [u;ft,n w y*e'(to(u.e .h' saL,-ob
,rwhnnt n;'(L) =7i ftl;OJ d¿ l-o r',n,.l*,*, í ern
J<tmuio. de
Du ,,d dL oU,,^aA. , '
"- i i
I i r I i i ' ) r''
. I f , i I I I i i l
ii,i :tl
0 1u* -ry %,6)= I,[[:
iittijiiii:i
riiiliil
1(r
(Dix, u.) , h,eü a¿¿ (Yw,w,,nn
Fnry^ol * ^otsBinoi
o.* 1"- OV Qnmvm d,e '[o :meruwnb ,1, »tr¡,*
t^^ Ql1 remt¡ot/ 'de
xcnk¿nn^
^rt^* I
*Me d¿ |otnüe I e". V,ffnuá I
t^,. Ql, rprntloU de ¡cnte¿nn^ , tt^^.o i ¿eluei d¿ §iotnüe i eA" {vrffixUb l
ru[o,%t*b"i . i.i ', 1 I i i I I i'i i i i I ,
llllliiii,ilirii,i,il
^ I ,^l- ¡ I ,
een4q ¡ *-, iL" uo^i'tr¡1 'd¿ .^h^d, 6,
sot.§o p,rid<n ae.,,
L¿iru&c,'o, [»i ¡iote, ) o c¡on b o^uo [unoto¡ *) ' d¿ pernü n*-do. ,cl,.t
ryvr»deuo
I
¡ 'opVoeri'ri, 'eS, 11 L? [ p**nq l^9rrr' frnrr{ti Creo)
e#g. *tL*UlO<6,nopoqo<,Á)«r,rt obko^,0,il
§ trrothn d!- )a, erntuo¿A ,¡ txn Vnoa 6J uot-v' ottl l>oTemud
,f-t avogfi,t:
Illiii,.iiiliii:li)ñ
., nP )4rrv,rurVr I
cYr1,,e.,- lob,tr+¡l 1 o. O. h,'rciUCIeoi q S. U,"."i u* h
P^f- . tr*d, ^.oóe
d¿ b : e¿r¡|¿d& c^r" 11". i gÁ", s, irn p bcu», I ,
,i;,-::l'lliil]
¿ Fe 60 sicnny h rn u, i § s¿- de [, o^e- E rn vr Ne 6oao C-ormo I^
,n*o^ltdo,C 5¡¿ 5q^<-noec^o^ e¡¡ i^a l- ,eg w¡o ypin^ogh,rp s
b p tr*t ai¡.oghtp i " Dsd,5 .rro^ er^fpan .y*iüw (pnoc"dn rc< 6.
,I).At O(CyrSO. o SiOnpV'Ovren|z-- & &aa6rüa-ot'e )rnre. cne,,.rr,oro)rC.,
. - . - -- |
Y?4o yotihUo *nad¿.to q €É{+,Yro- 6 Lo (y¡e+tUp
F-t &i ¿uoghir.p
b " ¡ze»oez metoe,o ü icvkloe.
'- i i i i - i i
26. zJlot [wr
Ct* ne¡n , d¿. ptr,opo.¡o,am )wf rt-l Pz ¡7ecid cnBrrñe % l* cr"A"U
otL A N S (.ár+.H^, (wurc,.¡y ot¿h,, o,l ) ' áso,¿^ orn ,o-t t-oi urx^o
6& l* do [¡us. p^bn ,*lr* q' G ürt
^uo €tlcr^'di,.
ff^*i.r, de uh¿aurin o pi*ur- d.e l,rn,:frrw,*io': yN Wuo^,e
f,t e¿&o^a-o dL o6S,,loclú ú,^r-t a4 A¿( j(t) O^¡aab.n bLal @r<^^a
[o
b».cnoyü rc Ar(t) ¿ de ,rrLL (cDf ro atn*,o ,úDvouíyt o]4¿anfuo.
á
^
Qynbo¿ba . Qrn ttwd,ro, ¡^sd"e-t*, de A ru S Sa cq.n ¿ I-Dtn€,La
lpz ü Utwto qÚ¡wú de- tc_ fnB""t:nprv.o pzo ob'gerwdr- de-, e,¡p,¿q
qn'Ut-¡" ?'co s §i(U = l,f [Are[
€omr¡ó.n
5'§
f"oi. d€
or-h rfo ünr
d"e €o.U-*o . P/tú- p,,.nr.- á yrcVrnL¿-CI/^,o fa, *ot^ tl.p
[e ryne¡;y.frua ¡; H til flr^n,,rta' dE- ü,r.{ q¡,@^'o ot€
wfulot oi(f)
f, bt:'l*
Y{Y
I,I
r/arfrct
2x, /u,>o
$ o[noL/a/¡4'
o
o
o
Á
OO
«)I
rCI
ll,
27. dno ey*$,
Nt= Á 0r= L
i'ri
iii
.:iil
/ - I
u-i
v- u
:
i1
l
I
ii
i
O .«>
.Oll
: I i.0
It
o
I
l
I"
i
D-ryP*t-
1l
Lpw*-r@g
/" !n*r* ot¿ ochuouÚl o [,"^tq,
^ú^L*r[**uo0r,0p{Uoy,^g al e,le¿a óa- aflUo',tu¡ @Iiln! Q/(t) Whhn d,e( .olaruuvttirr'n^t*?!u ll,út) ) ,ú). pruo pruo qdod,. de- e.l,..rcJrí, o.r4ü./vw
' cn(t) . h (*lt-r Í hr«,')' 6)rn tmbuTo ¡yar,Ian a.e ANb & ({mede,,r,
p¿ u r^k* *Á**^ q@ h pwu ruw d dz gorA*' de .¿tt t*hadD
@r,ü.¿¿tn u«). /-, Lkf*l)
I
ll
f^ttwLr
g cn da Sotv,dp : É,h I.r* ci 0r¡ Yp e8 u'»Mn l"
gO[oh
^,obú.
»Í0 e^ ]*n^ur*' fu pr ul"noü A, acnro¡r!, oi(ti,
frhu) Pr,;,
wLe'lr' t" Wy ";* dL »qhC€ % 6irrrrgte"/o l" , a*"n,*r¿
T@=X'
28. de ffvpdn W al
{>o (,,OlYtt¿§Bn¡i . (,Orrnn
Tunn ot o$ e, d4-
--:-_:-=
üforl-'r
ü^da d,e o'huai,ñ dL JD ütgu.a.t¿-o
La gnopr* g i L)-- f (oUtl)= o.¡(¿l
@ch oc,ü v¡
-=._.*
L@-rs@- ry -Ll+ ¿*
ái n.i.t¡¿Oid¡-'l
----
+-
¿-
nn - '»on¡x1
29. thú*lñ
üWanm,At
oóWb * b ryry*
a.¡urnvp^ wrnsn Je €ml
6f osfuE
Lutut = (tw,s, xse,) = f t.'i5' x¡
[ic, .-
h tm¿»
) bm$u, b óL ul*ofu X5 tb V)éáo> trr,s
»
'?w^ó8
e- (rro (ogo u.an hrQ) ; (- (r'r, xrer) = Z Uis'{r .
b) |^r* u rí* d¿ or-huCI. r¡ nn )
;ttl: p, ( I"$) tflu e o( f* temüs :» rn,r, l io¡we,s
olo
p ¡olrü* d¿ )"c *Or,a.rn¿¡ro b e¿t %¿odo d<'sr.hijog'Á-
ffi$: p, L: u,r, - oJ
titu)
l) ,.r,-rl
árrnnvos
@---:--
Dei¿ufSsi @! crnggglo
1
/* üg,u, [.-]** ,i¿ )p 0ed s, üy)tb kiangte be ,.t" d< uaw
(,iñ"r.lunlr n^o* rry elL l,o-
W h% uo,r co¡uor0o de eU[a d.
g,ylhCIdo V"tO corno á€o fiieu4a"e ry il{ e dt l,e ut r<a da
trnho-do tenne LDcyr@p<rbrnq c0cn etd.,o, Lg, «t¡[e d.e >6,11l,o ü e^M born
Lstno-<t¡gyg. 1,,É, P*e cIekt wrr^"^ l& &4 pa^fl ,'u. de- ü»atw¡r*,ti,í"
&f 6úerrn.^o,
/s
30. iro,fáo
,(q".. %[e >ia]á4. U 5o'.,,$e óe Uo. ned ne obhome ok h s,tr«rnnb
-*, frr¡rova4,c, be Wutln {,o act'uoruop, de t€ t¿(¡tt cy,.z*.ia.vtü,
lrc rr..*,ü yocr^.dr Y yü. t ..r
f¿,/r. ó2 hd*, §rv eil,hnrra,
r)': 2 t,xi
l" áoúdo Clr$*ü*o ¿¿ g^.ed.&d Of u Lúui1,o Jé^ /- flo*.,*,.^ otp
,So.l,¿oto of d^luel d¿ v-hrsou(n ,rt¿ l,r c,{L¡,tp €.,m. um pdarxptngn
^
!+,*.^o* & éut.(a €o ull]r P.cLouh (&,( óe§end¿ ' d.,t
,Unnbn0/
ói Ó>E
# otno uot¡
i» *. ¡¿,¿,¡,r€t,ue É4}.,a
T d rro ' 'd¿§slYLN. rfu '
íF:,=
ee&w q,ín
ü =f
OLW^ po*mallo.
l
l
ítt s )'O
d^^¡ rlot^,'
i
i. i¡; *;+e I ,l¿,r,¡"
f ls,d, It
1.
lt)
I
f^r
" b* uCIcr o{-
nnod-oLo ¡
o frr"€
g¡lrrx.o V¡p,aao
Sot^do F-s bm.o^/q ü d€, 30&)" ,,, ü t¡(sd e,,u e.{
d Trckl'a dE ol,q d"sárn"¿wñ,, d. fue" )e§
V*.d" ¿,-e1 Q.-c,rtr
% *np*tubk . WOtq J.rrn
31. l
t/
blor lwD
etoq f,-*,1.". dL (,,0k¿on o
blX, IU¡¿Xz' 9:o
d€t ,§i¡r-,"emfu trtPweAls-
á =Q r)xz=
^
Íu7O =) Xr:
ffn= 'Wr
W¿
-Q¡/w,
"o/,i,
t n A,t/ y xoó"v,x- orr3ro A
(^ qr^h'd¿ u
pn, hn**. CI- )é,
LoleSwv A,
.
h to rw.¡c
pn,ocf,r"r-.c ¿'oU*¿ -l G eulla*
fuitrnre.a ei, to ¿a he-n,rr,u S
pf osfzotr
')e Cl,e cnccnr'q,..o /(*"r) o to¿tp
"* d, G ño,rn
rr*e f,w dr
e orfn¿ po.,14 ern§, dyl o q/ c,o* ssc ri ei,te *t,o'cr"¿l,n
ouo L¡oLor¿é,
e fn},r I t * 't ) , ¿ p,wcena dR t)tr ^¿,.n
oi, ,,sñ sq y-r-ote .J*,, -
ü¡ L vr d,e- Lo
' a,
¿r, ,{ r^k L{,q,1 p .4 .
-
l,cwerytWt' bn Uo.s+x. e-l-*o hr^." Vq.a Jo; 6e aor ¿ q ¿rrrnbnÁ .
, ,
'l
'
s¿L¿e¿^»ry,..o. Ja7y o e{-lw de au,}-&a &§ 74 dr} ConSaorlo &-
eJ(-rf"f t-,r0 Ok" prnln< rua-fryra (rnh
32. 'd a + d F, l.o cw,c dp
,X ul, alaalu,,e*Aa A U. t
bf cr t¿n^ o d4- f. u" t¡ '?pr.xn
))/vo oap"&qon§
d(yt' X; si
uuta¿e^ 2
:mLo$tre*rt'.c
0, SL I..o
pfoa]utr-
tsfoy lu{
rrnnd^'h*
Um(,á.o
t ).*',* h*d olu;ro el -l:o +l=l
gmbcrru¿0,
fa'
Ir
tors(t)
'5¡ 7 29 cos(a')
btelS)
V GdUa con(r:
btn¿ úowr
-t
+,1
-t
+{
?{
-l
"t
f¡
A
h
A
b
ü=p[*'" '"]
/ ,*; x5 re)
6cUd,o
$: ors b¿o ¡
(b¡oz
-t -r)-
[-¡ u)-,r
-{ b,trir
+ A rhl.
^J,: {
l.J¿¡ I
Ir o¿f
(p>o I
¡gn»ot
hso 3
Con, Q
[r -t)-i
[-r +l) -l
[+ r - r)- r
[r, +4 tr
-l =-t
at:-l
-lz-l
+12+l
Wr=2
r)¿t O
@ = -orf
W, l l,,
wL; ll
I =*l¡s
ro»r [-t (-z-",r)
ftz-o,s)
*, - or§)
É2.s
t',t)^
Pt,S)
-rt ='l
-1 =1
+t, +-l
qf=oz [,t
,n*, (n*
5,a)
l,t)
t,S)
qr)
[[-,-t- as) /.t-
l-t r+r -I,t) k-
ti,;:;:l't[
B,t, I
G,'em
I
f?rem
o'* J
X,
OA
ol
to
ll
*tl -l
r r)- r
33. -l
I
/z/"s/-r
t).ll,l Xz= -o,s
4 Ut f@ yr:
a
/t'=
0§
O,f -J_-
2
a
*t1
dt Ptr*trurn ?oJr
'^^l: ,y
d'lqur* eur,,¿ (/ ()ot,. ^^*
W b c.aeo
i|,,; ffi^_^?,u'*, F$ "^"rtr, (*(^, yrw*u,n
u<. ah w y*tuud,p,'T;^*try
h"!*il, t rj yus
,b,y@,*ux i;TV"y,: ,r**:yr (r-s,r¿,r".:: 7r,á ai
' a¿ oL *Á xuuw ;[ítr* ,!'r*
dutioa"í,¡*,Yr1I
trhtr=§
v iÚt'vw
c= ¿
x,
"
(-r).(-r»
¿
34. l
l* n¿ók ¡rrrlern lú^^r. Crl^¿rvvt ü;rP,
d¿. paloiena d* oyntrnda wJf , G
rcd" f.ro fr"o Br,',
t bru"cl o lP
€¡ u fo+n;oo,
*|.,u{ tw Pl.cto
Ar ws = - ¿
?É,,. S =
*
^
(dr-d)r,
(ü
i tüurs
U-
r/tg,ga-aDrs¡1t q o4n¿rnd.r¡¡.e @ g,. k-
.
t) irn^uoL'zo,^ t- úsú' e,,^ P-^r* ot¿-oM ro-
z) tmür.oa^r,, a P,l ¡Vottnn ok Wfuada.
U
z) Cafu/{¡, G S6-[da dK- G
^fn
Cwmpora LNn Lo d^ee^Ld,o á obl-e^q
t".a",¡t^Qmuo' de [¿l.Ltt) : '
r.:'l:'
4 go* ItA, b tr"ua ¡'v1atltyt't w d^d^g. *; fo-neaio Y^ b u t'n'dq
^ -' -
¿,r¡te
I [,
w d"
^"
U trn )tu-o to a. d,¿- o¡r^e^^^ * ,* Acn^^e^ YIIA)'
w-
' (r[<-,, d,O{¡lt d.a- eAA¡& ,d¿( Cóm5turn{n
rot¿o & fueoÁuu J-fi^ 6¿zY¿,v ck
k:uvo.dp dd €n&$. vr,pdtov
ó+) eexo
U
??
D=wsXs =S =Xs
'' Ot"¡ -'
:
35. ix
§5
u
0,$qn ; o'ti${..| 1
9¿. p,Zrl'O --0 o¡3.,9?ll .o
= o a3,O,zt].'1.
9$¿¿o qrSqq orgqB
-1
5) ct^oO,
fln^o^
{- 'f,n,{ pat»noro
tmQ
6) x rnp f,¿ hD cucmgtido
¡>L h* ot¡-taod,o t..cd,r,
eT"rrrro
Y, X"
OO
ot
no ¿
4o
lo
lt
l1
t Llo(.¡. CI44h
W Lo @n2..o"¡d úlewffi
"e.
t,
C¡^ltru O de Co rnu&tSernuo
yo hrwnv4 | rn 6rut h ft^,a
(W¡neaz o- Z b
plwma.
wa: CI,Y83. A =r,z
Ur
xb»
lr
o2-
J 3'
oq
A.r
06
,t r.
g¡,
= O, Slut
:
XJO
Wf 98eo
X5ws O
' wz= gaYt{
o4
O o, Yss
d =.t
t = oftbT
o
9s'{o
o
ii¡r,
ir¡.t+b QBqo
.i(¿")xr oPr,';¡a.=o
brapur q8to
lo
q35t{ q6q6
q3fq c
.IJL
u
o,39¿'l
o,l.t,uab'lfl¡&l
(9/0ÍS
E= d-t=ffi,
dr¿
n : o.39q
0.
E' d-T =. I tbo$
[}¡t
1e
o,0qO
:O.
orDqS.
r
hrr ,
Y¡trJr
X5O1
Us 0r${o g0rr
f¡UJ¡ O q8rr
4 d- j
QEqCI
o,S9$ rl : ,,?rl
c: ,{, Z}}
w,
ll¡,!r, gBro
A(¿-¡),rs. :o
w-L
o, A )a-
gwl
ü25Ú
q arb
*,L82s
l,t-ltWrws, 0t8L1o
36. l**
[i, ,; r,
*s*
XS ÜS -o,8v"o
/sl
U4^, gloYo
u,
Q$ro
arq0.
ItYffi
Ut
,l,lO&
0,51ry
2t
^az
Wz
l,zs6'
o
l,zra
U)z-
/ z s..P
a
l,uq
lil.z_
,l,z(9
CItYoB
/, 9{o }-
tüL
/,qb¡
at93s
2¡&Z
i
w3
J,z3l,
l,z3l.
Ws
l,t-3 ¡
o,s?t1
tllg
t/óz{
o
4,b?f
Wg
,1,62.<
oroSf
l,%,
A O' 'l= i
t,t56 4,23t
O O b=CI,vo
6,'fu- ' 3,lh
,)6 L o Á, cr's
U)r I
il'b{ l,ztq I ,»t : '
X¡ tpr ttt6b o t,'r.t ,
,_bfo=r,lilJá,
b
9,b4 ¡
2tb6?
Aütc+,
-r)xy
bc-4B,Ja
Ad+e
(¿,-l)Is
"t/¿
4eaz
o,@
9, Alo
t//{ :
how
9oas
3, nr
I
lqb)
l lol
/3
h¡
f'; ur
4
3,qo'0
1, o9o
/4W
,l t¿- r){r
W*,
^
J=)
/,825
trbzr q
=',
b,AbL
gi* f;= 'a, l,tfi
r'J
37. _- --
4oal *,r
-t
+l
rl
' ,;,
xv -l
ilry o¡t-+l
Ku,s
-o,t?,1
& f"{
trl¡ o,816
&ntr 0,356
0.
I
(s
)r1
ulg xs
i
+{ D =-l
-9?t
-4,üf- Y: qLf5:
-I D:-l
-q'i'rY
QqVq :Y: o,)b
, É{d-r)m
á= (r-1)=i@
t=[ü-rl=]ffi
W¿'
i
- Ot'lqL+
':
. V,
tO,44V
o,s39
,go$ l
il
i'
Wy
o,4
oJb:92
, U)¿
or vzz
_o,ubT
' ' -aP'{f
-r{
+l
-t
+l
*{
-(,
-!(a
+fu.
-t
o¡eP
'o,o?
U¡r : otbLl
l
, NL='0,U9
j
l
D={t
' Y= -11,23
A = 0,3
I
-4
q0r
-ojbY
Ar'¡J«e
n0-r)5-,
.Dbgoclr-
r uJr
o,Q4o
-oléb9
o,+l
r tüt
q3?o
-g/ b63
- o,¿yf
A.d{¿€?.
,¡ (¿-y) xs
Ttptl0>
Ap+s
i (a -r) rg
't ¿epüf
Wr
t)t'
o,tb§
o,ubb,.
:
..
t¡Jr :
otbbb
-or1539
-o,lqS
x5 r'l
,rtyr -o,tg6
Xfl»5 - q.l{6
xs 't
,»5 orl3r
X¡UtS -o,tt
r>.= t'{
' UJI
-Q,l'ffi.
'gbL
0ll"i{
lilr
q r3.{
-0, t{ Af
-otw
+l
qo?
o,d y"-bt6,q.
r;=t¿-i) :{.t,t-C{l
.-
'l D:tl
o,la
-o,q¿t ): - Dtsgb
edu-'rWI,3%-l
rL/
AÑ+8,
)to-r) Xs
§3" flrpe,
A$W,
¡ [or)§
Dñ{{rV,
x
38. x5 -l
{»¡ rc,sss
X¡u,l aft53
t{
0,0t3
Qo5¿
l¡ tt
uJ
r :CI,3q2
XSUrS -'q 3q?-
+l
-goqí
,25
D. ^r! üJr
-o&8.
O' 36b
qoSa
uJr
0,oss
'qq s
-or 3q¿
LUr
^))»
-O,Üul§
-o3bb
- ot.zl
UJ¿
-q.r3l
0t eqf
otat
TU
- qoYf Y= o,7-o6.
e =to-yt =T)_,?0:Á
Ark,.
)td r) 4¡
>t"goe,
ryrd
){u-¡o
b¡rs)ü""
X¡
wl
6wr-
gr31
Wr{
^i b = -4
-otv3l
CI¡&t. Y : 0trlj,{
e=(»-v)Ji@
I A D =-/
O,olt'1
o,qq )=;93)6
c: ls-y =l
l,b7%l
t'__i
Tobtú
0ñh,, O, a§z o¡ otf
l[u-t)xg _ o,Qrs - o,.q13
Dqoüb. lgozt Qqrl
orqzz
aptü ,ssb
l(1,ú
I fir6