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(r..) Febcurr y e r 4h,rv* Le..t u r e .5 o-f - PDF document

e3E Llo 4h + 4,, Y e t ltt +a, l' P/6u.. thar*c tettt ftc poly uortt'a-( cawtplcx rools wcth o E !e o.r'ti Ja fJ Two '- avr f c( solatrcu! {uv Jo- Fr c*' p /os . (r..) Febcurr y e r 4h,rv* Le..t u r e .5 o-f


  1. e3E Llo 4h + 4,, Y e t ltt +a, l' P/6u.. thar*c tettt ftc poly uortt'a-( cawtplcx rools wcth o E !e o.r'ti Ja fJ Two '- avr f c( solatrcu! {uv Jo- Fr c*' p /os . (r..) Febcurr y e r 4h,rv* Le..t u r e .5 o-f A",t"wy tl*t( Ro"-' flgt F;n'61q.y Flo'/rY. 7\,r o.wo/ \erf Jar Fn 'l*y 5 . 3 F9qe,aorlL Pfecs c ar-nr- 3cc h'e,u 'ed f a o,/owr Yor ]

  2. rW : 4't!\a fesuft (3r co-t plet rcols the aoE *' , a" d lR ?-hnr,' 6.'veb (t) tt e te r * lt tf chnro< P"/, t ovt"( P(rl - +ac ll t4rf hr I e.w^?f"x ;ool5 n. *+r'n/ , lF.. r-,r'lz f 1., t, F c lR) fter. arch taf wrth (r+,1)r lr(t) , e |( /r) -- (r). of ai. r. f,'1 a't o. fu*dc-r" a s?t

  3. { { ll,X I ,ir o- {"."!"we.fut sg! l(, oF at. (t) cff , '1, o-r. 1l', '1, ,.t{ *r,y. t o I X , y. ) * Rrc,r(r r tt r'! o. { u,arrfo rra f,*/ 'o 4. (l) , sel "f (uwefftur P ,hPh tt^ c, 1,ft) + ct l. al , f(t\. tr t Ct a.tltlltey cousttt lt, w,'fln tt co.tlcaf thc toft.ttch ? e be_ry'l ot eg . /r).

  4. oP 1 iro-u p /e Fi|.J the ote\P.ol tnlu low (r) J - 2 Y' + r l Y" a"{ .' = c' f tts (o. so /.. f.'c'r s lo"[t"t e?. th} ch,!. f,arfr wc obf.r'- r +a = O rr-j v;7 t y'-r D-l _2 F= at 2 r 7l-7 z 2 2 l,i=,.rvE'l Fqn o{evr ar. fo / i So/q t.o\t a-tV7)t - L(r\. e /. s. Tho he,-r/ .'t i e (.+.VT)t (l)t (e) y (t) s e otr-t cl tcz 2"E,e

  5. .< ! h * Re\.dc t" (2) so/ulrovr The tuzlqle 0) ,rr. y' plcr- t4(4eol uo- cou^ rec{- /u ty' :c1q f,'cvt. Re!/- v./e"./ ".re {rflic,att (1I 'olq f,'ov.l cP*r-, t\ Lc .ou'tPlar. uvlbe.l fto*' fc (7). r to/u *r.ov c\r S,.ce e|.4) 6) rf*( l"r coefltcrerft) ts qro{u( o.pp /ta4 t'.ors t" tt v*tQa.l r,"ost i cbcfal ob vr the fo.r rP*l- So/efrov.

  6. {. Ff*o/ the rt!,/ - r,,,r.lue{ 9e}t.0,( Ar"-o/a , f,'o '^ rf se/c .,, J Y"-al'+tl'o. sg. ( f ,r ru/o- r,..er' f,u r"/c f.'rr ct'? l Cow.Pa*- , "('-''nd)' , Il',, e.t+.'Vi') t I atl - Y, cot.6zv|.'f.or r's ,*ilt /.,,r c ecr A"y (I ol t r So/q ). "- /e f ", pcrf, c,r e, , ittt ) L /,ttt \ (t\ L - Li, tt) ln tt) ). /tt -- -L. zt Recatartt I h,r/ rt6't ,') at+ v? a ? U -, v7t 1 e' Uo-V?,)

  7. <' ./i'f J -,vFr t I e e Le I{r\: -r'y's-, e' ( u"t71 Y,/t\. 2 ' vll _.'/E t \ frr) s {.(e -e ) LI l, ot"s f uu c 4 /,r.r'ur r ?hata fuc tl-p ?arl- ve,,l . a( Eu (p (c.wq l* Zhe r Rec*l1 ; rrlE t c"s((i + i Stv, (g!7) t) ilr covplox- co- ju;cfe '''vFt : (,/Vt) - ,'sre (vq-t) e co\

  8. { Thevr i .'VE t -itl? d c+ a cos(\/€at) r'/8" -N?1 e ( Y7 71 zi S,:n ThtreSof'. t cot ( v7 t) (t\ Y, 3e s.1- urlrrr/ f,',rv3 So/tr 5i r.r ( Vs- (rI e' r) Yr f14ey r..- e -ol lo a..tr oft"e 7- lor tit, p ropor i'oro1 oro r {,av/o.t-ar'l*/ , /tJ sef for ef y . so ths ?e hc. a( Sol. coJ(/B-t) + cr S,h /VE-r)je Yrt) -- [c, c, e lR. yft) fo" rt rerl-v*lqeol ct, c, e e. lucy' c.) c"wplat For a: -V*

  9. -(. i Rer^at|\ i (clsc (o!lcw! t") proo Thf rf Thrw. f so'r, d 4'J r!' r'o{e ftr? exc-ctly *.'ve\ .:.bcvt tha . exc-'F/e rtpldccvrl the roofi o( +(1 r' t* r/Ea, -r> 1- y'it, ,( - frl' -{: ol sol .tte Thp leql- vo.lqe f,u.d^*c"f*/ ct (F t) cos Iff\ -- .(t s... fJ ). 1r) /p -

  10. ( i""a"*a" r"r Frrro/ mcl - y,r @r3, fu../ sclrr f.'or r "f / , lo') Y"+ e Yt +t = E!' rz +tr +6 P(r\. =O eTt -r r V- -zr 2v-F ! V.t - 21 -z F: z z = *rVr -, v7 t I ln (*<o) A. (: -l I - fu- "f+*' e'r f,* / Real- rz.r {trPc/ Sc/e l','or.l rr r,ft) = c"s('E t) -t o

  11. .( Row,o+ h. ,nl Y, r,\:'.- riu (5) /.'he ./os zr,'lcp phystct( t, procert re d. ttcl dow;,O/ d.t llc ttorl fo f pel dc/tr. {.,'c f,'otr.) wttr^

  12. r.(. age3 "f 1 e hat-4/ F. r,rol i 't' (1) ) / =o +5 r So( P(r) = rr+5 --o vri I r.-l ., - -Ve' , ( 1.,- | G. VF. o(so (v7 t) e"s yzt(\ = y/r) ((7 (Vg- f ) t) c, coS i ca ' C,, CL e lR .-=-Jtnl (gru*r lq I (f) r /r E+ t lce o{cscr h.e t{) c o( Thysc wtth cut o). ? dt s! t7 * troa St e: (*t Pfoa

  13. e .lrcu.'t. Thp RLc r Aoc f,'co"fiovr r ,r./,'f etrcq. t €(eztrt. h o'\. Coutrefer c*g* 4' l!7 R , c.v4 l?e!t!f,!-<e C , b, !\,Jtrc l'o-"' a e L . ?' v'r^ l"+"\ \Lto,/ c(t. t T.t) e c*erov | , Thr e lo. fed. € lowiw1 t'w Sv,e a 9'rf ea, f h l.'e: r at'rctt.t l+ frt It A trtt) + R tr/t\ + l_l =O cJt '.().li e?,.h.vF Den'y*f, e both I J./Al _-o +r-I lgr'+Rfl

  14. .( ole f ,'r.,'Cro- phys,cs. r ) /ur'r.l f rl + L c r' (5J .l+ =O +-ttL

  15. Vr.l,ae o/ {q-d,r,-.4"'f*/ l-ec' Ep , tS ). .\ €,'tc! t, . so(t. fo :e!' be'o!t' ' ra+ +urtr = o a0( .l 4r - 4 El - eot ! F- t rFl,F a_ I d: lrtt 2L - L. R--o I? thew Z+ie I i C te ura It. $ I Th?rd FoFe asc tl&Lta t s''vl = fz/fl <f-.D

  16. { rf , t heu c.-l e l. ,' R.e lta < 4L R1 (=1 a lLL G> *nz tttL, Thofa la F a. -|(t t) ot. R I, lt) : q.r,l cc 5 (' - cr ZL -{i t) c Ir /rl ,,,.1 - Ct' ( u=L L' I I Tha Fe srJ tav rt tha t'a?r+- de,,?t asct lb h, e,a . s

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