ps03soln - e e l e h h f 8my 7 j )t D l a) a) j p F ne...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: e e l e h h f 8my 7 j )t D l a) a) j p F ne aQ$$f k j 8m v j e l g e l l e F h g l e ~dl F j h j v ta) v u W) ri t) C Di ) ge o "qiVg $l 7rmrq V f l q V j f g p n e l g e l l z g e~P z ge h GIG C RQT"o d UYv QefIWXr7Qh 7WTc1rWUWrHe7t G WTQerV rrxaQaX G `U ` If ` ` b s gV XpG bV { G XV { VU Sf XpG `U f sG p y I f o vp GU UXp G `U I C S G S I f { G s S f G f G f ` G b G { UX G `U rtht$aReaWQQeu s 3HTQQr&&rta p rtRTGQar f QWI C G f p { s ` y f G `U y w V bU UXp G `U s S I f g G `U r y 7h G {RQIWQy)rPQWY S QQaaQWx&o wro Uwv QWI ) e h ge f h e h g f o j ig ~ Rttopit$ i ) }XG { | VU { fp zGU G `U x fGp w uU sUX RTRTGQwetI1Qy eqTetIPQWyrtaQFvXtT G trWp q F h e n tpo'$emlY h j i8g f d i k u i v I U I g `UV V vX s If p g Uf `U bV `X VU SGG I G E C qVeQQiyuerxwWutrhqiVh7QedcQaYW1TRQPHFDB @ 9 6 ( 5! 0 ( # % #! A487$4321)' &$" s w SGU IGXGp {Gp Gpf X pGX G ` tTetRaRWRWarPRGWTWdQeU I % rPetRGRwixRearQhQ S QW"rV gV XU I XG V G `U Gpf ` ` b X G G `U g XG f I UfUG { G G ` 1 RQ y 7uqVW7RPQFgC 3 vo2pj Qr i 7 etQI 7 QqVe7f&WQrQF SIfs GUf S X I U Gp w wf G ` h f A e d 3 1 % tR ( % 7 tR ( 7 Bh tt (A h YS x8rl c b j a% ` c h ic f gc }aWTwYxatWXr7hTQRQrAQ S DrAaRQ)QxrQqVeQQiyirVe f aWqT s p U G v v s X s w ` I f G I G ` S I f X G g V X p G w v y Ic S S V g V X I U I g I U G p p V Gp pV XpG bV { S S V G `U gV XU I XG V G `U Uf `U GU Wrf % qWTc&PQW3rhW)TGTYY&TieF7W erV C % IhRGWTWRb rf X pGX pG V { f X 3 1 S If { V C I z Ifpz p f X G g G `U C S If S Q e C j C GpG ` 4% 2WQ7&4rfqQrWqr f r f taRaGipiQWX UQrsTR A 7 P#~l I22WTQhb G A 9 { 7 5 3 1 HFEWi 7 % HDC Bh ie@&G 86 j 4% 2 } qVeTQiyQIW7eTQRqPQW371rVeUQQPQe WX 0 f I U I g z UfpG IGz G `U gV I I G S G `U G )(T G qaVQFXe'rV C v w p { `U g X I UXG y G `U gV G I V spG G pG bX I b % f p g S I f # pG Sp f VU gV Vp QqVWaTQ)'Qe7QqyaRrTFTrQrf hUQs & qiVyr$ITQWqV de47&aQ{ f z V v G ! CpG Sp f VU SGUG I IV g p f I U I g z UfpG IGz G ` QIqQS rf TQIx"RTQWqV eTeRQQrRds iy"qiVg qVWTQiyiQIe7WRQTqQWU X2 I 7Wr aQeWryQhwqVWaTQ)XQerar{ qVeqQW s rRarf Uf `U G Vp { VU xXf ` ` b I UXG y `U gV Upf f I U { V G `U IV pG bX I CGpG v w Vp { gV S x `U VU `f Vp { {f U IGpG S f U IGXGp { VU G C hb rWTQ` R G qWQ'ruI)XQeW7tWQrhtRaRQtRaRWe7x hb l { x '&G n j VU G w v V X yXGp `UV w S If n fU w eQIQqThe U WRaWr1rr uIrrV S If f ` pG { { y G ` p y VU IV G `U GX VU SGG I G b GXf G `U QrF g RQQwQeU IiQqW)rRwQedWq V 1eTRQYuo artwQeHI CG b x GUfpzGU G b Uf `U U g G `U p g XU I yVf I X X y v fpU G G ` raXht& V W7eqTetIPF7WFTrpf QWqiVhetQqTRr1qzWFQ)IweW&iF e e l e 7 j x n Ŧ x7e P h ~ l m y W8) j l o en l j UG z G b S I f e l G y XG qPQry7q x wQQSaRap f X f ` e j U f V { G ` C f ` pG b G `U p y VU I V G `U GX VU SGG rQ8l 7 G F g Tc V QW1IQretqRQWaq V yeRRI G b s GX f UXp G `U C o S I f XGX f V bU G ` ` y z U b 'rW7taaweHI Qr1o RW7tdQeU WXQqQIerXQS cV sey2YedwyxYxoYewuy y z s u w vludPuisikrqahaonRdwmYxihilhjihFYYvfxPufeYdBYB&YxaxwvtsPrq yt ss p us y u u g y ks g y ss y y r y u 6 7! 3 1 A A %( % Bh ( Bh h j 4o% 2 l 1 3 2 s( pG SpV VU IG ` 4# TQWrwWTQF C p g X I f { G X pGX G b V { G ` ` b z GGp z f S ' ( l g V U I XG V i qiVIrVWr&RGWRapTcYQWU WUhQITRaqr'Y8Q5ciri)TGTYY&T f XG z p w v y I `U s w VX f U IG Gpf sG `U X I X V { Gp yVX G ` RrqTGQ)XetzQIQSxQS as tWtRQSyW7mTePQqVWUaquTWQrWQWU p V SGU fp GU Gp GXG `U I ` b 3 # U X v fp z S S ' ( S ' Gp f Gp G `U X RGqc1RW7eqzTetIParfaRQWRGhQ4xy27fFwreq7fQD@1q Y8YaraRQWFrf GpG b U I IV { G ` vV g ' ( ( l G I U I g U V ' G `U g WR`hs fWtRGQq&wGQeU qWipSW10q) iw hb qVeTQiy tIq{ erV U I G V G ` CX pVU w v V X Gpp V G `U X X U IG IV { G G `U xG ` If )TGTYXY&TQFRTWre7fIQqTeURaWqTQe3QyTGqrz fetRQr&QeTQrR G b X & C UGpp V I U I g U V { V bU G `U UG b y V s S IG G `U U f A%q s TTWaqRdqVeTQiytIqPFQWTrz hwrqQRFeA7Po j wrf Uy{ SI # g V G U f p G S ` U b I V U f y G U X G ` U G p G S y V s g s { v f G p C X I V U I y %7qe77aRQehqW7) ar f QeqaRQurqxr G wrrV q TQqeTQig I U Gpp V f z S qVe7 f WaqR ~QIQQ y QI s tWp rf QIqS rf rx $IQIQQr&G s " fG v sz V v G # z SIf{ e % A A Bh ( Bh &j i % ( % l {G A A A A A A tR % % % ( % Bh Bh Bh ( Bh S Q 1 A A %( % Bh ( Bh h j ! 3 o 2 l 3 1 a% ` }X v fp z S # G `U I V pG X I V UXp sXG I V SGUG I I V G `U g Rwreq7fQ xy QeY s qhTQSaQqRy s aWQDTRQrRWTTQQqTe'rV IqVW7fWtRQq&QeaaarAwrerrfQyReRQqRaXQhQWeRW' TYrWqrfQS U U IG I V { G G `U UX y Gpf X vfpz S SGUG I I V S G `U Uf `U GGX V CX vfp z w w y v y yf SGUG I I V S G `U pG X I V VU SGG I u I V S G b V sw SG G QQw QQR7ruTeTTQQqTWXQQWTQSaQqReRTQU 4qiWX tyTQSxQS IGG w Gf ` XG f I UfUG { G G ` CX vfpz f XGUfpG IG 3 1 X s IV VX S I TRqtRQ y 7YqVe7eTT&QFyTYrWqrfQS ReeRRqz 4% 2 h afV &4rWrf G Y d# ctR j A A S Q ml e tt 7 7 7 7 7 7 7 ( 7 Bh 7 A 85 # A ( 7 7 7 7 85 j h f ( 7 G Y x#y j h 7 7 7 7f S TQ ( Auh ( Rt 7 7 7 7 7 7 785 # e l 7 7 85 j h 7 ( f 7 7 }X vfpz S f v I Rwreq7fQ1rhI YQxTfs G q f g e~ l ( j 1% 0 e g 8efu) ( j '% l & e # A a &$ "!7 Bh e h l PE 7 % l rl 7 l rl 7 Bh e @&G j86 j a% ` A 9 { 57 5 3 1 }p VUf zf { Vp { z b g G `U UG z G TqetrqaQQIhcV iVPehTqb sGf { v yU IG vV v CX yp I If v I s g G `U UG S SfGp If G b ` vV rTrWX etRwqwI RR G WiQrYQxTiGQe s RWpQ7tWirtXQeU qap q A Rt % % % ( % C V SfGp IG `U S I f yX y G ` 3 rtaTQeuQrf QWQPQWU I WqRW)IyW7eyhcQeUWhrQa 7t)RR G WyQrYQxTiGhQey' Di' fp zGU `Uf { G `U I bV S G p b UX y If G b sX yp I I f v I s g G `U S I V C C V UG sG IV S wV } sfX S If GpG ` { VU sU IG vGUfUX UX G `U G Vp { VU I U y S f qr"T)rQrQYra cWyQ7aRQYqerX ttTYTe7eaar f QehqcWiWdrVeQQQI V S VU SGG I yV XXG y `z yV ` QWRTQ S qb WTQqz qQqeU % IHQrmIiTQWrV eU S 7XiXQF S If # pG Sp f V f ` e d 3 % tt ( % E 9 A h Rt (A h hS x8rl cb j a 1% j 4% 2 I 3 1 cA A A c A A A G tt % % % ( % Bh Bh Bh ( Bh c S Q 1 % ( % Bh ( Bh S &j 3 o 2 A A l { G a% ` 3 1 } a 1% 3 s vfpz GUG I IV f g U IG IV { G G `U 3 1 Uf `U pf sXpG Sp TXY7eqrfQS SRWTTQQqT "7V fetTQqQWX 4% 2 eFrR G XUTWRWqV f VU fpG I C # p g f `U v fp z S s I f v X f G bU Gp f GpG `U S I f s ezIR WRQTGP xy qiVmIrWiXwrerrfQHtrYrRhWraRQW~r& G f ` U IG I { G G ` z S I { v g p VU g fpU G G `U G X s UGpp V U y w aX fetRQrV& eUQIQrf&G qVaipqerpfeW&PQeTQIaQq s TTWaqRF&qV xp V X v f z S U { p y g ( # s GU G I V S G `U g V XU I XG V G `U U f `U GU Wrb wrWpqrftIqVQqiVa4xy4STeRQIQrRWXQAQW&r'etTGRwY&Te7WerV A A %%%( % A h A h A h ( A h S Q %(% A h ( A h j l { G A A A A A S uh uh uh ( uh T Q tR Rt C G `X XX f v I V G w UX y v Up f j ( QWW7y1qPhrQ G WarQ{ f IpGU G Uf ` z X y Uf `U UGz G E C ` {fp z p g p VUf zf { Vp { G `U aRexd7eU QIWQw7QeTr1H&Q7eq~I 7 riVqetrqaQQemI v yaQeiqrqWriVrtu7qaWrYv rRriXmQhb riVg cV f vX G `U U y V w f UG zp g I f G b sG XX f spG ` ` f p b C ( ( ( XP QrWqz qaipg ` {fp vV G I G `U U y QqVYQeQw ( l ( ( eU QqVWaqqWiX1QrQrWqFrV QetRwqwv x V f I Up V { Vp { | S If ` {fp z g v yU IG v V I G G ` CUf `U XGz If ` X Uf vG x G `U U y f pUG v v s f xV sG ` fapRWU)IF R7eRrQr4TW7yTQI)Qew RWWTwYxrX qx V TF ) C Up f G `U G 7 G err{ QWX QI G wvWQr G ea7{ 7 QeX QI G QrQS & { X f S If Upf G `U G wyV p2 p4 p2 ' Pv3 q &2 $0) (q & 1 xh"%"ir)p$fvu4Y`id`YWndxh h uftidsufY#"fdxixwaY slf ph o rp Pv u Y sp dwu y y p u s s uq r u u p g y! r q xw)uYxPufi"u Tftu2Y sxwhgvxxwaphedwxh dqesxi dwgirp eYdyesiYs2k y y y y s g y us y u y u u u u s u s } z b g G `U Gpf X vfpz S I If v I s g | G ` QIhcV iV Qe W7FY7eqrfQ1QrYQxTiGF p CX G G `U gV Gz If `pGU G `U vV g z vV pVU RQ S iQW3rPqrWTetIPQWqaipQIwqTreT7pfg spUG v v sX G `U UX y C g V p VU g G `U G S U V I y V ` y V e reTww&rYeaQa XU & hrPqWTrpfdQWdQ y QIrQH S rQWX qC l s w IG z GUp V G `U ` b I U fpGU U V { | f X fU I V sp VG `U `U S I tuRrqerqqQeyWUhyrVereTetItIqFQIrtqTyrqRQWXQeuQ& 1. 2. p1 p2 p1 k=p1+p2 k=p1-p3 p3 p4 p3 3. k=p1-p4 p1 p3 p4 CUG z y V s I X Uf ` b I V z S IG {G S pG bX I f sp f w f GX y fG w Gx fU RTq1qrrzW7QhrYQIQQTTQTrQrarIQdhXFUiaQrtTP7rrXwv I X f G Sf v u IG f G { V S I qzarydU 4Tqt` qQ` & C 7x PX pfruqW X QRaX G V g S If G y {Gp U IGUV { G `U Uf `U GGX G E C vGp VG `U u s ` yf z X y S If G I { { v V fetRWrQW7WRaHFTWqTQevX)rQIWQQriQr f G wqT G `U VU z V z s fp zGU G `U SG vp gpG { G f ` G {GUX UX G `U GpG QeyWwIqqtw eqTetIeTYaqiVaTrcQb Tera7 f QWIWR` E $ ! % #rn Q "q" j n e rQ h ! j n u3 'h$ j " CUf `U g vp gX Ifp R7e'rV aqiVareWU p p y G `U GxfU VU SGG I UX y G b sGf {X I X V { RGWQrV q QW rrewWRTQaQa rR7WuqVeUWqI fetRWrehTqw' U IGUV { G `U UGz V " j e A d } I U I 4qVWTQiyg U V Q G ` vV g SfGp G If Gf { v yU IG vV v tIq{ 8QeU qaiprRWyw rRiXR7WX QWtRwqYHI fetRWriQqV x! U IGUV { p y V C fetTerPQeU qVearqaQFXwQIWRWW7RWPQWU U IGUV { G ` f I UpV { Vp { z pGUUfX G ` Uf s I f V { {f Ip G ` v V X If `G v yU If y vV g bV I x G E 7`WU DqVeU7Yv&tWpQraqV " QeU qaipigRrRwv Qetr) rWip~cQ)H3 C V bU pG `U V G `U VU Gp f { v V FRerPQWdW WrwqT f v spG ` fp s G zp gV G `U Uf `U GGX G b V ! CXX f v G v f yaXyrRrX{reqzxHqar f 7AUwv QWYI7WRa&"TWrYwrWX G `U G Qe qtf` ( h ( ( TQIaXh X TQrRh)TQqYrRA QeuQr1qVereW)rRPQeuI G G If U IG IV { vV o G `U S If I UfpU IV G `U aeYuGQWU qapig qzaQ)IwvuGQWTquHE C l ( j l ( ( j WR` pUG v ` v V I X X y `U UG z G ( ( G p G e ` {fp l QrWqz l j e l l u)" u)l ( l ( ( l QrQrerz e | S If ` {fp ...
View Full Document

Ask a homework question - tutors are online