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o Do- tb C zo'5 "€ ^fi,auf arffi.fn( T" sluc-lr- €A",^\'ra,in-f gtt*t,.rn? /.ur^g 4* ,t7au*,ot$'an "l ^,c.' vL /""t2- rVara;2 fit leoh,*;V,.o*'. tl solrird Y'fk,,l = Q \ corksE;er', gfoqrd9 vzS(.,4) = o t P'la' . ea.As tts.z -ft42- At -,9 "/ #t sin otr d nI hse f?,rz {-r.r*r'E tf l-t a f d sirt A{ f{ solvi,g il s.[v;n1 vz( (r,b) = c> l \ s7{"o-':'n'( Qet*'fna;l€g ' v1o 4 eryo1lu/aca t(*) = ?"(i= use fr^r- A"''-'9 "l fit rQ?rQ*6) 7- &t'> ?r(-t6> {- .L= O, t,2 ... I bF^" (/t) = x - t) ?r(x) = 'a (snt-3*)

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oDo- tb

C zo'5

"€ ^fi,aufarffi.fn(

T" sluc-lr-€A",^\'ra,in-f

gtt*t,.rn? /.ur^g

4* ,t7au*,ot$'an "l

^,c.' vL /""t2- rVara;2

fit leoh,*;V,.o*'.

tl solrird Y'fk,,l = Q

\ corksE;er',gfoqrd9

vzS(.,4) = ot P'la' .

ea.As

tts.z -ft42- At -,9 "/ #t

sin otr d nI

hse f?,rz {-r.r*r'E tf l-taf d sirt A{

f{ solvi,g

il s.[v;n1 vz( (r,b) = c>

l\ s7{"o-':'n'(Qet*'fna;l€g 'v1o 4 eryo1lu/aca

t(*) =

?"(i=

use fr^r- A"''-'9 "l fitrQ?rQ*6)

7- &t'> ?r(-t6>

{- .L= O, t,2 ...

I

bF^"

(/t) = x

- t) ?r(x) = 'a (snt-3*)

@Nol,'*'/u.*t u-e- s.husz h-**, rLA- a-{.

W i^ -h^A 6lven

ead-;nanle tilt{4u^ '

€". exat'.gh: Sin ax e nY

= { ^,

J ( I

t#

ffi{*,ct+'dw

n"'S iS t ,,l"qf ,rna,lrUg, Our Clnorcz. 'un f VA'-?

.

sin&q dnJ ,1-. arL fi^L o*?

-rtr*r-tr*, lLa'f €o/ve V'fk,j) = O

a^4 ara- Wb 'ntb f'""*'-*"tr'at "(u ^/J-

Sefx-",A& fi'-"Xzn

r* sin a( E u(r)n(f)

T<Qtpu

a)

t

?,o

-t

?tot B (*) , 7 kl s, P"A) on +t* ra-n6e. * t (r <

l-,' ',H qH dx = o

I_,' P"k) P. (x) dx * o

I ' qk) P"(x) dx = e

-,

r n

b) Show -fha*

[,'lrru)l'a* ? z

zl-+Lc) Show +14at{t != o, 1,2

gS^,nn '*iA resLth /r,-,

I

n &) Pr{*) a'

+r^* fT Vuiz

=zlu'2L+ |

1I

p.onrohe- )c1fu,a+l^ar Tero ot ovre '

"flnn's

We'll uft

1- Le 7-o/-u Po!"ow'/s.

6Jr*.

Exua?ts !- rSpl,erir^-1- SheU "{rZ-clt'uS u" u:rfC9

aha.r7e a@nary a(6)(a z ;'w,^* Uh

3",^"*' >).

,'

-/7^1 cLta.Se- dus;fu

46,0) =

Note fuo* {-, o aa

fi'n{ 4G,e) o,*ictt

is sac'h fr q't

V, *tO

'+&-ft.* s[a//

+1^- o. ltr7"^"A'U re(a,$.a.-r

tto;t rebcrtv in e,ranfQ s

6)h ,prrJ s7s/ot'," l- ux.SW' Pe*1^f

tDrik f f r,0)

ia fL*t mt4as a sttrt^ o{ a{')Q/altd 't'-'c'41'a" t

s qs/un^(/

?1(r.'6)

= O, l,Z---

-+O a-+ r)a

brf (Q+r) ?utr-.&)

fG,o) Br'( ut)

I

hrE? /- c (.t/hz)n 4e-'-' ia +'* sa'au'atrtvv" cLrQ-

- t4/pet/ h 'uod-L t""L 8'c s

Ar=Q

=) Q^rr,,u

4n*,^-4=zl

0n t1'- Euhcz ol t'^. shel f 6' d

ll/e cd*r ^t*a -ha' b*' aaV anebh'an %

re{hY

Ah 4=o , B==o, 1= o "'

to*',",o = q4 Bo' r-z ?'(*6)

Srre 7'era'(aet A -l'"t aff'o;ernEthl/hart a're- -fi4L

7a +.t- ScttPr*o-'/..'a"t 7

B, f' P, ( ,--,6) = Vra6 U)'ru/, f = O\

y*tO = V, a+Qa2

b, = Voa'

€; ̂ o! a*tJ6,a1e1r v:o' dq6c>

4 ft,6)* oulsidt