math102_hw08

Math102_hw08 - t c 4 h02 r\r,lmtccfw"0f cf |\avY\I,u t $ 8 MT d'h c L cfw r l z E'l u Lef rr)= = cfw 1 i:li-lVt un f u e = rq r t l o= l l iz =t(li

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!t c4+h \02 \r,l rmtc{" '0f |\avY\€I,u cf t $8; l\ ir"'r i\ \ i\ E\ \ri \- l I \\/ ,/ : I ) d[-('h 'l'\ rq\ cL{ - \rlz 'E)* r'tlo) = l; ) Lef urr)= {1,;]) i:li:) -lVt un fu\. l tiz ".' \ d,L =(li: l;)* €> ti:i:J)- \',?,7!:, ,,'.,i,j:) e-\ =)A11 ='/ttl t,|T A a= t/z y + rlz-L e- (''ir'3n\L^-= A ^ So "\t: hv^cL A) \ooL fOr 0.lcteltr;6t1wq\ O+ \i|"r'fi: I 'r'-) '1 ,\ o G) (,6*Ay - , lq : e 'L tD-'\ G ) %._\\ *A" _ )/Lt o c=).\ (,\-i)'o (:'''),-\'' L)rh--\ Vta5et*utr.lof $c'r'- Ar= D: tA- o: \ O)= i l- ",- ,i .', x1, x2= e :) o,\ = ty\_ y, ,,'!/ 'i)" l) ,t f z \-Xr r\ I oo, !') \\ o. r,n q\?e,mr( c rcr DC r .\, r;O Er\"r\v e cftl{ }o r _1.: : Ip- 1l\C\' {ir,,),r\ --) di, {i,.,-)=';f X,\-* {,n ,, },1 \,lz -ttz iC \Y, it', .' \ ,uu {') i\ a^ nr1c.?1vrcLilr [i:[,]r=1 0cvrnp\e{ e sol uzr.fi ow', r,,t [D t, €-0 t L) Cr€Lr | \) t=o a neu& .,1_',)r 1',\=\t -+ f, \i ?', ^.iJ !\ MT *h '*)
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I 4)$3r,r{ i js I . f '" ,il ifal l ti I l--l 1-l l""t-i ,\ t a ,\{D tr {s rcl t*3 \ 1c\* r' 4 n r bJ= i-7,7,2"\ J ll'\ lc> \ filrY \fi j'" \-- I / llt .,"/ { I i) *"'"r, L '' i *{,}f {r,Jixi i{t' iS i { {q\ ^} I f tl; t t- #e+ {A) ?:8-\ (h,,,-)* A I{,-\4 / {A- x) 3* A*"{ S \ f ijl t, I'u,,:* {"\r i) co tr' +c o Z t., l_ \ [0rr loA-1 o,', v 3\ *1 j o"0yr.,kl I*O I j L- *l-n I kJ* 4 d {. 1 ( e"\ r {) e'rl ott ol N wtfVr e'u"( cl,ot X @ WTS'. X ls a\\o av\ €'urcl.or o.[ R "+-If,: # 3x- Ax- llt x = [x-ax 00, l: av\ e'ue014f o{ 3 c,,Qtt,!oe'uc,r\r-,rt i-? "A :r:Lt r?te * \4dl: ': Y | : a \\ o an e'v'( c Lor o{ A-t , 0 0t) .\x 4;Al -) Ae :D -I*X r.) €V I"i;r #"fi Y1: di\ tr/I c llr\ V
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H_r ;+ \ q= q fuoo l($: {Dr*r Vtqf,Asphl{- cor r , 0 oL= a rcLrr ( A ; \ *f oltu"vl llli;r\ { Alt: =3 '\ rA / U tS Orv{ f'ret\ *{*t r't.iiL^' fi 4- tJ , nn uL | \"t I} \i L t'''L'i $ il ',U 0 \T m \n 4'u t4"1 o ,S LLt}t'1 fu\ q {-}ry{Al c v{\ 1,4" t}-1 pi t{ iivl I r} r C "r r Y l- ri h*r * *fn (A\-: L.l \s q"i L1 !1.{ {-$ t=/ 3tru+" #il t\\\ Ir\\ \l " " _3, *J \r\\ Ar+Az+A3* ; L 0{A /o \ c \"n :\ lto\o\il-/ \r: \O i *) \\ t \0 / q ?*tr{[ tC]:: Z c,\r\n4 Lh\i.n"\ f \: 0 \\ a v1 {nv c^,\ V\^lt\\ hp \tc i l-q Z CF - ts a\/\ e'; e\ fvtw\ hp\t r. \'r-4 2 \i rA \ l-'n',"-r ft i f**", VL "i t/ t"'l t, ,,. .J : ",J DI A rA-\\'L1 ^t8 l*1 li.){ ''t ,CorvtI b{Z $y\(J e\C}tx^var\t/U 5 nzt"r"ztS\ SAVn \"C ff (C).O [:.]-a |rf ,\ t.,q) C. (rr*) \\ t \l \/ , 4Aqd'1,1 \'ff .{ l2-\ \L \:L \zl \Ll it j U \r ]l il:L$r) =l lil + iS frV1 {r?.*r 0{ N\ 'o +Q- *,su 2 G A(q
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\4, con! 3v.+ \+ 7 r: aA e'u c,.\ 0+ O )ML'v\ \o e\fl)A v c,t\\A-t\ nzru\\ aotol. ''. .Lp tO O .Tl 2 Fr '\-. **d,-"- "4* i - -u f# 1 * ru *:L 51 'vt {'-E t 1 k *[wf "] {-,t- 'Jzv 'lzv 3la* 'lg ,.o tf s * 3 l,,r u, Slzv "l b*3 e' li.,r,, 6h,, 6lir' ' 513 L' 5uLr L'L. ,I t., L.* [s\v1 ct b, I &'uf f tc{[ f tJ{ { *lsu \ 5j;r,* \ "*.r \:.J I 'r,;l:":,b I :: *il ,l t: ')tr W L:, ftvt V_L\",t 4 ouo?v tAwl- v t*".--J I'rt 0,ft x, 3 LA tT f/t l'r11"{ ,j(Clrif" *uvtc$*ur m$ ? 0uT,f \f-K- :-utfV=-D * yt {n}- O Lr",*, t- 4\ \g t \"t,' j\ *-/ 0 t5 fl'q/ t\\ D$ ? v^"r\b bt t * { H {' d- A \ocl.St 5 L: r(^ V(CmrS lvt \4} ftr€' f-i \ /v= l3'0, \o) + \r t \ ()/ o/ **" r/ Aa
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This note was uploaded on 04/03/2011 for the course MATH 102 taught by Professor Szypowsk during the Spring '08 term at UCSD.

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Math102_hw08 - t c 4 h02 r\r,lmtccfw"0f cf |\avY\I,u t $ 8 MT d'h c L cfw r l z E'l u Lef rr)= = cfw 1 i:li-lVt un f u e = rq r t l o= l l iz =t(li

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