The solution of tutorial 1

1. I.-r,
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k$ ryl ra/
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Xut
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k rn-r s?
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Pn luautT$-ea
Y L-/ r
I
L-l li'vng+r,, L,
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't' =[ t/s-{ nA'
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: LT-I = kq
J
rn'J -t Ju,oordarra'p
t"*n+t+?,
PVo =
r [vrr -') Ltr -, p1
)t
1
t.')i : ML'I
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to
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L
1:
= Ll-'
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t M13 '0svri 3
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0
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ff]" Lo T - ( dlrnen$onless )#
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[V 'd,tl= VSP
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=- o,o163 ryr3
0r
d<Creo.dt o,o|(Zn1 -*.
fA

2. _,1
03
rO
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whBn dtI = fif Wdl", A = f|oo tpu
- rlih d%;n O
1/
th*, dt=Tlfdl+ urhu< 'r t u{q '0,-015fllm
eq n
ti
=4uyt -u'A
iir b P=
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7
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t
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,
= ATAD f'O/t.l''- : TT A
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3. "ifri
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aitl
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t tri r,ii;;-. J-v
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fi = iiD xL tShaf* {e,rr-.-gth rn b<alln 3 J
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r: i"ir { , o iL tO-+ t'"ls 6gF,,iLori
= il tr x*.0* ry tf
{
i
v
3fr|'i LI i)i lv
IJ
a *jf f'
= 2?:;.177tr#

5. I l,.i
1. - ,l_l
rffu$ of Creaw;, ''ii : t
fi^r*
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n/1
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mls' rn
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6. f on*n'n"U
vti P* *(sq""t('dor) GnS + dr,o hn) =ps
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a3 N{n=4(D
= ig Lpa
Lbl D -r
H
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c,iipriy i -, 6,,]
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it
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lin -A Fe ; ,,0 .Hrt tc,,1o,t rJ
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t'''.l':{;ll'ill.yi-ii:i'l,...i:-'i.tr;::::
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8. 'i,i 't;_l ,-;ii I ,'l ''
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1-
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]z I i4Flia-t cdnffipr'tr ;
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r+ A {erreil*rd t0 Wq + p
Pip? colrrmn mdrpg wp
nt , +k^ lw?J a+ icp+ A d'lt{crqca,14
d.nC +h,-t. fi6p* Cd[u,qfl ry']dys3 aai,un A {Xhn<, a,
I [rndftsn '
trar iin,{
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fJ mnnur@
L?n
*pn') + Xq(o s;n3or) + )rypoitin3Ou -ft ) = a,+, (:o)
(Fnr D + In [a sin 30" ) - ]*O [aX$in3D'i- i) + Xnra a, = Q
,'l
,Q* -?'ij + aNlnvin3ou-TrE(grrr 3oo+ l)+Xrb n t -u
(tr: - tPn +il

9. .-i-,,^.r.!r
ifi
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u >{-- - f ; 'Y.-r}
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rh- ,t# *(r, +-*I'{ u"JI
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lF / l-l- r'L {b ht] ,'
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ii-'' Eo rnm
f
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tin ii " $t
{Lr i'r*to.l qonffiB4;
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i+ Pipo A {gr,.ea*&d tok-Pq
, +k^ lw"J a+ ioP} -} Pqi coluyin m4iAes 1.,,,,p A 4lt{u6<n,q,
cn,d *iu iiqh* Cdiuqfl (rdves iioi,un a {uhn<, a,
Icr iinq I [rnd*isn '
Toi* Xq (o-t-d $n %)l-b,ij iasinSodu* o{I*} =Ps+ bH: o(s o&-*q) -@
$ *'nur@
L?n ) + 7n(o s;n30o) + I ,!b^3in30u -a ) = a6o fot)
-pn
fuPn.P D + tn [a Sin3Lr" ) - Y+g ia)(trn3o"1
i) + y hza 6 = Q
'Qo
-?rij + a Nln Mn30u -T*E (sr so'+ r)+ Xr,o ) =o
r- -
Lpq+;)
A
v - *Yng(et]m
[X, srna'"

10. - t0 dPa
srn 30" * XuS Isfn Jo-+ t) + Xr+"o]
la'*
- ioxltl3 Nf,n,
(o'ct):i(,?tg)tq.*r
rn[o,s) - r::3]Irg)(q nll(o.s+
r' [L ."ln;--vu'-"
1p3 fl r) + tW(q*tnn t
st yyr, , Tr/
o r;Vl rri
=
fUsd il r<a6ng alrng -li3l IncJinud lin*
{(f.*nti {*g o{ fnanu;'g na,nnuAar,'1
Alu=a*o.ogr#"
= '# 4 o o>ra ta,oygyn
= 0 Q47_rn'tr!.