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Muskr&h.r.rslr EJ
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@Snt. kctn(org Toutroerrerl"e. au f , (-t-r,r,l-rfR, {(*)= t**,r1i^rpt*) =E^.*uik" mrt e:#§1«tu'%*, vert.
ln uqqgreln@{. f tn= (x+4)e'*- i..*i?re Tunbt§-ron Q st berels tn dsr tu(Tr u äffili;§ä&n folnerTd.eflur $, kmnrrsn L;rr. ( ryt d* den \,ornp&xen ?our*r[«{f ucn Prl
d,.= * $ g,c*tX = * $
*e't-**d* : ; j *n* " - u'ä*
u
Utr unilerscRdgn ?rxr tdlte,I fr"L( : Q-/ A ,
@
A [x(r-rortr ,, ätx(,i-k)\i7*r€x ) Gr)e dxJx=-lf -ä! A (r ixrr-ur7ir r 4 ,li"-,r" -iT
:ffi«ru.l 1, Lg'x'J tä,,gt^({-FC'J )1AiaX=-ri*-_-. ' .---- .X=--ä
= = - - (- iiT[r-p) - -iar,r-r.l \ =O, do (xrt-k) Oä-pnodtsch r§]d rr t({ -t.) \itg +lie. )
4 f =' : (8s:6tf t-k\\ ='Ü: - r) ( cost rr4^ur) r'ffii
" ffi]);,*,.,.ffi1))fii (l-t
= L., frcos(nrl-k)) :- -L cos(fl-r4-k)' " +(-1 i Ifl,tr-u) ' a*Y#(r;_,-for-a):Ä.ri
&Ta(l: k--r ,R',,-
d,n= #§ xei*c'b*:#jxd, :#tä*,1'= L/r__,1
rrrsE»om,t $rr
t asc Tq cr) =,4 tffn,*J.; er ( * iia al)=o
't kezkta
I€(x)= T.f., rx) +ffi(x) = ei* * I_k€zkl4
tkvo
ff""l - $ r"l +t'orx) 0rrch
T lx(,t-u)dr=*§
AutmbeA, &»uCht st effa-fud-€'tP:iR dWf =-rx^tl I
tP'c*rE+1F =. **'*' vxe'R-cx
@nrt-
@
g-,*,* p,
0
e9
*{cr(z1t«,:a;*
: Qiut(a t6tla
Ir$eß r
I ie,:
G»ucht,
-'
t
(,rpdsrhd$y§
II P: glcor = TLPJ(cJ) rklcu) - frr$rr^,)T[P'J(t^.r) = iurflco) -
>LC'"J(o) = ä,L,r Lx€rr{(o) = ,ä.0,u,c.c)=+ F[xe,",J (.,) :
_rtr f, (fuJ = ai"_(-.L
[1nurendulg d-or TorruSror$ornncs\ch *F ort
F L d'''* p'] (uJ) = FLXE tx\1 [b){€
,F.-," - it» $'cu-rt :
ln rer€ Toururfrcnprmcron 0r{erf
(o(acs- rrffirefle Xs) =,c[y$ (s) der dxusxdj.,t y"u§ct=tVrsy;,=cost, t)o
y'ca) = ^vl ,y, (o)=o_ &)
Es rsl §
( {- r)}r=la, =- t"x yct).LDrpcbrhrdurs:
{,t P x 8} cs) = Kt93 csl' ,({g3 rs)d t y"3 (s) : s"X=r - q@ -*C - suyrs) + s
o t{ cos{J rst = A" , t{t'J(s) = 0F v)
Anuendilru dsr lcpke.Tu*{*mcdron m4 ft) -)tt y" ] cr) + t I, t** yc+rl (s) : / { cos*J rst
c=» fXr)+s+& Xs):rio
b) oe»utcht tnverm lc(ffi{rrnsicrmrp/b zu frs)= ;!g*,%,- ' s3+ VSt tQs
?:1.ff_:Tn ery-e tor{rc,rb,'_rct4)$&furs vm r dturch
@ Ntttl§etlen dls Nlorrrus, stnqs.-q: = s( sl Qs +Q)
T li slQs +Q = ts*r)} o[sc ss*Qs1§= s(s*r)zo?ßa u; §::ffi;;ä, b r.r'trrsre.ü:'-*
sa+ Q. A .-, st- t'Yq s!3.
Uoe#i?renhn*,6r.A = ?A= Q. k>.A= äArB=4 t3 g= &4'A +&B +c = o ^& ?+Arc =o=-äFrs):Ä+Ä 3
Tc=_sunu^f
*{{,tl,.i'-:}ilr,.+a) ."ffh ( s*E )
""@ "tttus)+ *L{"c'nJsl -aLt"re-ü 3
:,/{ ä*}e-nts_31n+}Cs)
-s'/'[ +s L
Inwme-1
{ Fts)l c+) : ot * *C{t+* sr* o*
@
z'C
,_.4
D,
t*'(ola) affi dos nrdcngs^nßpnmrn y' :e-t( A+ yo ), yä =ö
[:,HW[:$ uYrt T1a"
,T::n0,uuore)ccr rnrü ffimrinnnV.0ro. ndg\Ct$rn
Y,+ (A+y*)
gcf) hU) *
Pry src g,hr.-(r(xi t]Y g,h, q{,qant rP Qd-rnrefi und hryt toVyef{.Er ne yosu'1i i.t .nä&är*ilduc,Cds5 ö : Sg(s)dsäds t
Yo t(=a ö ds i s\-/
) A.. : §e'ds(ä arcfqn (y) - gF,-hng : e*- dte orclony = "*-i"6 Y(tl = {on (ef-,a)
Ztrrn rdsungs,nder vof( a Der Toq4«i:tri dr{rnref$ pür-x€ R\ t r.Y"g I kszJ. porn\ü L=o rrn LosuqQsrndernttl^Wü
,(da e14 =rl,l'i,nbn cr,i eü ;;ä'ür,rrtret*A 6 (-n,Ti) c) ,e$e {p, B)
<o
T: et>o vfe R tsy dres
ffnarn^ctcnq cou Tau, ffiffi
=+) /fu\Trnhrvoll , te [-*,, !^(rr+a))b) &-bucrnt-' Allpnrefiu orfr ür, yn n - vy'* 3, :ett----^./^
€s oi'li- y(r) = Zb§) + ya(ilLr A,,ffi horrq5enursg ' ürnu,*to\- lsg-
§ght§; qorno&ne {tg.utr brdrr\m dp }.rutssthnndl} churohh -fW^ p(A)=
^{- eA+3
Es grll-, p(^)=o c= [^o-(f ^
+q) -! +B =eLa ( Ä-cla =/16
^-- &t/1 =3 OdOr
^= &--/ =,1
=ä lt'grrert (sgctor horno6na,n @{chunO § sornrh),h (O = q e5** q.et , ä,c.€tp betre$
{§g\§ ?orürkutdre r1g.4ltq#"hksif : Vanqhch det t«a^rs-tontengr(Wrcnkt,. Spaettler frnsafu, ye(f) =,A{ef mt AeR
%t{) ts#r-e& donn,sg dg} lnhtrno6n0n ?roffi*s,(arrn ye,, ,r) _ A 4,+) * 34 (t) = eF E:Fs,qiji-:- ü 1' c0 = Aer* /teL ,4 et (l+11
/r" r l)lllso is) h I?'e'
C€F
ALso
e) -JA= A=o e- As -*
,4e+ (a++) - ? AE ffl*1)
* 3A1EF : efAtaut) - +^(r+r)+ 34+ =A
L( 1__!/ + 34) + fi(o - v) =- t
ntöu tsn yp(fl) : - {nn anepordr"«rtire dp3§qU§ : fl lE rnerrv xr*r, l*,
Y &) = Y,ft) * x(r) = cräun + cnet -*lf*f ) cr,e6R kkug
tsü
@
ftulqoh-s @
-
Qqachh, fuuUu fundmrcunhh,Akm du * = (X [ )f-_-z^. - .\-lMll-''u-.--Üvl\l|l x.z\zr-
r§üniü BmLylnury &r e6znb€{"Eiro}n A =7*0 = prz\) :3 drf ( A-arl : dp{-(yr\) : (&-afug
C:) ( Ä-"?)a= -$ €: ,\ = & t &ri)cmiü,srnd Äa=&"&r, &=d.-ar 4eLrctb kcn@re {*(ofu)^,att§)etbn
t rnc{ dornrt r,gnnu#..ää.&Schlt{ trr,«nwb.bau .A,^=**ai,o[so eln f = (UJ) r-nr{,-^ (ä fi*-nirc),2
= öi(:o
( i' :' ) (YJ) : (3) c€ :':y,*QK = o (€ v= *,( = -ir,,vn, _ V4 _ Qt,q=6
Irl I te F 6r nuekoaen (p*6nxl snc y,nßm. rön l:; = i:^r;
= Erneson@,e$ d$ sUSbß\, j gq;l =t;")
3fuA eoz[teDTS
da+aix (-Xi) {? cos(a+)* ßrncor)( i' )
zuhrcch'rgh sne( cry 6«7ripfu* &a^uywnrn\ratea) *S ( A +
"+ ) at,' b) S rozrsrnt)d?, Lrbo ldo.qatr?-'rt =t \ t-l r+/ / "'' r D)
d,';;ä;. i?(=& rsü (posrhvor.)
6fur rfl c{sr unhrcn HotEbire h$
:et, ('&srn(ac')- ö"Zcosfart\ _ oef 1asinforl\ A+l_,lacs(ap\ .os(or)+rsn(a+) /-\-]_grrrnlf *,: \SD(Q*),
br tdan ern r€r[tes f,s.
eu e)
%stnq«:Wrßet
De Tutn&$lon * ,d hobnprü
ry( C\{al, rnslwscndsre e*{-doq vCn lt+,rl=l umfonAdehßeb§{-,
Ccutchu-*'\ S äA, _Clnqrohou l?+.l=,1
Oefunkfrcn *i ,s, hr{oTrprolra$.1, oomD\e l"(trvue l?+41=l uTtciqp d.lnflrY$S
C h6rnmPh.Vrq -- -A
nct t L €loTfio\ trrnlsl.orurn .
§**i}+.4l = 4
2-
CEdt: f z-(-,r)l?+,t l=1
i, t *)df :
, -^: äTIt g
§(l?+41 ='t
009 1-
Oiit.o\-
q,i,o
tt+ 4!1
lnsglcmt {cp}
?re Tunkrrorr t\ srnt sl auf Qon? Choeornorp, nflrf SarnmtU+
t \l
F(z) = Jr' - cos?. Scmtt ,gill- ncrt ds.mlücuurplsahr (t1r ß.onpexe örwn rnsote.
Ser P()) = äffi) .
A) EeNrnrc\e dte SQßr(.onlq,+en uon Y und- dre 0q&dum.E-S tst Z(?L+?-e) =O Gl Q=o Cdsf ?'tt-Q. -O
*>d b t=o o@r (? "ä)" - i -A =o
nu/qcbq .7
e-- A
e> (7+ i)*: a) ?=-§+f=/odgr?=-*-ä=-Q, @oJ(j
ocrnrt $nd de isüsfbn rybn{-c$envcn F \,=crä=l,§=d
Dcber snd k=,t ur,rct h=-0?{mtffi / Qrdnunound Z,q=q_rst€rru I''rSbo* Srpr(clnh{,da u
-" d-4 : f 2r-a:]-,%--:* bl "z _ ,f=; k! '=' L ä, , a(so hc«:mor$
RB,urdu€fi;---%-- res#(+rHu + =o rffiryrffi.r'o)
res,Jtt)= resnfc,H*u 4y^c"-r)f(?)= /un *.
t->,t ZfaU)
3*tf,*)= Esofl?) @ Zro [?+c1fl(1)- &rn fu: g L
t-» I n a:) -ol ?(3-l)
e5ffi",r: e -r€
b) @sS s f,rrdzlb-a1 =q
ote [arrw t]-rl.Q -,ry?!^#t dre SrphnLi{,rr?, t srn,mot /rnlrslranmn.
^ , . --' LJCl Y't I l.
lQ)tduen .souä ,),Yl.ld+
- &rrt'(ftqf(?)+§f,ur) :&iii e-.1n\,
= aznte-r1i