Problem Set 10(Solution) - MfiTt3?Y zozo—zott Winkr‘...

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Unformatted text preview: MfiTt3?Y zozo—zott Winkr‘ Sea-scam Wham 5d “so Soiwfi‘wfi , 2x , Lsuamfl‘m: 3: e u\ en‘s-n 3: 232x (622‘?!) ,. 262%;wa “WW—w 4-»: 2x 4X ax 3 26 + 2c; - 26: + 26 W (emit-()2 Z‘X 11 L1: {1325-13)a -—-._.._._.._________ $HE :a‘cht: 40¢) = ln [ccsficnfl i I __ » 2x“ 2X - 4 CK) '5 “vi-TX? C 51“ (If {)6 (:3) coaCc 2‘)! \ 2x ~ ac smia) M coséez") If U W (0 F D.- F q E sin 66‘”) ax _ _, - _, SHE $9 ‘10 S T * ZSInCqua/u Led- u== 6—2): :- é cos 1%) + C Au. = *Zcflndx .-. J. ”“2" _lau:_twix -» 2005(6 )+C. 2 62): 'ln(%) TV . ‘ ‘f' SHE ?~‘f J"$2.: 8 CK sechkle 2 g ’ geclmwu o t 117‘, L617 u: 6% :— [1h lgmém)++ahfu)u )5 f ciufi (3/ cl): l ) ( :3 Stet-W4 ++a “tr/6‘) Wham 9pc, UL: \ I“ n \ mam , u= 2“; "“ l" W“ W“ = In [WHI — [alst‘cCO-i-{WCUL I 2. 5H5 1‘s 1th : 1am): 315mb“ J 5‘ 6x3) Wm :; ‘“ lnC?) cast-x2) ~ 2.x ‘(XZ zinc?) x cosC'x") 316"“ J. $HE (LS 1134,: SL6” 50‘) elk" 2 lnts)\ (4..sz i x 2-: {. 2 , L€+ (1.21033: (1) ’- lfl’f) [ix—E) bk. ‘1— C lhis) 2 d“: “L“ “LAX = thS) (l (x 2 x ———-. ° 3 + C. MS) a 3.5 ) lnlSde = tax I SHE $8 fl‘lé " Ld 3:- (if Then in (a) = X1“ (§J=‘)<‘VI(X) . Dfmcmmlimfivxfi 1004“ Saks wt‘lz'h W60? +0 'x aft/“es J. A :2 -_ C ._ x ~1- :. “-lan)+£ 3 fl UHW ’0 (.x) ) ~29 d, =.— _ J. " g3. : m3 Qaflxfi-l) CK) (1.10044), am 5—” $HE?5%5‘I' gt 8? dx = 9- s:iDULo:.:.lI.A... ‘3 X1”! 1 (f7 2 Le't‘ u: x+l :3 ..—L-—~. Pu] d”. .-.~ l ax MC?) 1 VX‘H 0—1 r: ‘ 24 W56“ X=DJ \1—=l MC?) “P Ff) Ii’ Minus. 4hm+ (”-‘Jx ~x V = C6 N “Fuméowe consmM C. 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X . ’aflE 1? 32- 3:: ————-—- '- ar‘csm (g) Cwfik c>o) 53-58 -l/ at- Val-x?“ I” x ['5 Caz-x2) "c-zxzj ‘ fl "' “‘"—-1 <1 ((3 x2 ““62 . 2 . - z .1 a: x - cafix (a) (02" Xe) (.21 5 c2~ x“2 +~ x _' ___}_______.___ c) (Cf‘Xa3342 (i) /CQ‘_XLI .. c2 1 @ZWZDM if 02-13“ -.~. c2 " 6&2 -* X2) ’xa (CZ "‘szB/g Ccszaf/z ’ lnés) sue 5h? “is-u 3 Mia) Lib-E w:- fix Au. 3 -6flxcl>( _—. .- .43»— 82 SM maxim) 57% at“ ' 2. H ‘fciu. ___........._fl____7 Au du 67.1 LIN/zefi—Lé ""T—t Lu~t u.\[m,a--(i 2. 57? éncszz 62) —~ m566(%y .a'“ PI. '— a MSW] { a) Us arcs”; (j) , «raw; Ci) 21'" “F'- G Wu; 5:) _ S: LC": £00: arch” (X) fahcfun-(éjl Md ‘VIDb‘Q +6145!" 0:2) 'E’CX) = l 4— —L--~——- ("er L+~ (if .. l ' C fl My} 51‘.) xi. _. a l P WXZ h Kai-K ma comma ‘l‘karf H20 N395, ’90) = carol-aha) 'l' mfvnéu) = {{f‘ g :2 2. —. —. C (dams/emf) fixaflxfo. E Woes Mdméx) + amfis'a) =-— E {bran mo, 4, SHE 8.2 #14 ”I Bx (HS) qu IA: X doL '-‘— 4% y:-__ -W Av :7 Gus) Ax l 3 . -: l3 {.x-rs') “[5 .... __ _,l_ . '__ ____-_1_ “l3 .. £3 x (.Xt‘S') g kg Cx-rS“) elk, pig .. :3— *"J. ’3 ‘3 ”6““) + 11“; gutsy) dx :5 ""L X CXTSj-{g-t- "L --._l C "'2" 1% (5 ,2 X+S) 1- C "’15 ’1“ ~42 .= fl‘f’ax (.ms‘) ~ gé (2913*) .1. C ‘ SHE ‘1le figs 3 x5 at}. mar-x 3 . but: x c-iyl : sun Cx}d>( do”: Bxadx V: ~ nae,5.Lx) .. H 5 ‘ z - x assoc) + 3 Xx casemdx ..~ 2. 1&2“ X fiva : mum: 3&3, '3 ZXCH‘ 'Vz :- 99(1):.) II ~‘X§CO§UG) + § [x2 5w; (,x.) '- a EX$MLK)dK] :. ,,xido$gx) + new} fix) - 4 S x323 and): M3,: X this: $thde 4% '3 ’1“ V; =— ~60; ax) H W'Xs’cosod “t szsw} (X) *- 6 [fixcosffl ”t SC‘D‘S’O‘JdK] ; -)<”ao.s(x) + $62 5:800 1” éXCogcx) " ésm‘ (x) + C. 5HE 2.2 “:33 3 cos Un (x1) Ax but: mUanfl Avficlx am *9“; Lcncxz) i2 dk w .. stUMxl) + 85m Unéxfldx 11.2“: a}: CWXJ) 4’anch dug, a» CogC'LnCXJ)$Lc GI)" V2 = .X .7“ 'XCO$(£H'CM)+X$V;I((V‘CXJ) ,— SCO$(£GC)UJCJ}C Therefime 2- gtiosanixlfiix .-~: Kassaném) + X 510} ([000) 'f‘ C E) SCo‘bUwCXDHK : ":3 C05 0an + i 514:: (9900) + C' we 9‘2 +540 4— pa = .— .— 2 —.. ,— 2.6 2- S. X2 (MUG) cix ml: (1n on): civic xzclx du= 21nCX)J§<=L)‘ Vlz'lgxg 226 2 26 4g)? (Mud) \~— g g xztntxldx L L (4-2.: lnCX) dyz’: X23)? dulz {Eel}: V3 : 13x3 1. .5 2 2e 1 a. ‘26 _ 2‘ X [(x) __ 5 —— \ __ _t_ g z 3 (.W D l, 5[5X LIACXDI 3 {XCIX _ 3'6 26 m .L 3 .l -.2. Z 3 (x1 — ~ inc - .2. :5 3 X (n ) I ‘i x >0 2? x \ *5 (965 (may); — a? (War) _ é<g550m12€fl .— mg’ ,lnm ) ~ 5'? (965w) 5‘ 5 . S 33: Qwézeflzh $95 (Mm) .—. £3 +23? sue m We. "0'" ._._...__.__/ Q ‘l'. 86” cospCbex 7 “ axe! L4,: 605(be (ivy-d )5; . -_z_ ax du, = ~b$m 6bech If} 2 qt: ax . r: : <3 cast/bx) =1~ g Semsmwdx '41:» 5M st) avg: a” Cl} , 4: 63%.: £90356ch aLx: y; = :8 X r: L dwcos flux) 4* “4&3 (flax (5 5w: (bx) '- 62: S c macgfibxjdx) aux ax . ”b2 .3 qt: costéfl + Z? a smtbx) “ a; SequO£(bx)d)r Wm M 2 ,1 b ax t ((+12?!) SgQKCostx)Jk 1:. at. co;(b;z)+;2€ SMCbx) +C Ch so ‘ 4.): ~ :- aa Cosfbx) “F 563’ sltanx) + C W 6&2be -=-~ a” (acoflbx) Hosp»; 6%)) +C_. 1}. $HE <23. 4“”? S flé‘zcx) coszKJcix ”*3 & transit») 5.95"" (flax Smaflxflx - 3 aoaéCxHx .2 S {i LLfCoSCZXJULaLX - g Z: (“@552“)?ch ‘3 1 , _ 1; 86+ 2cos (2.x) + coca”) , 2% S (H sacsax) +56082CQX) 1- 609(2):» H S (153 + +8 CosCZX) -— f? CosEsz) - @CQSfiCij) clx : “ES C H chsz)- coaaczx) ~ ((#515262va (many): 1“ '§ 8 ( l ~— CO$2CZX) + Stszz-x) 6105(3an QLX E! g CL” (3% + :co5l‘fkj) +5IL2(2X) 60$(am <43? ,1. ‘3 z. 7% g (é .. éCc-sé‘fx) + Sehzézx)603®)) 4"" g £86: __ éw$HXJDdX 4» % S 5’5252x160b(2X)d/‘< (Le-f (A: 5:13 (2):) CM: '26:.“ngch .,. l J. .. .L ' * " 1‘2,sz g§m(4x)) 4“ é géMQdu. l :— te’x -* j‘f swlé‘bx) “r 2;? éfngdzx) +C . we 9.3 13% ”‘2' 0 W}. .. I 8 cos C290 5m Lax) ax, ! NOTE: 9M”): 5'”; 0-" *SX) 7- SW; Came—0.36%) 4‘ wsézx)sm§c’5x} 5W" (“0“ W (3%») :- ,5"; tax) 605(2):)“ magma; (2x) -. M ; 5“" 55'") *"SMLM '3 2 aongx) 5:1; (390 Hana-E /.>_ W2 \ 7? So cascaxmméaxHx -*-' "é. 30 (mi 55x} far} afldx W =— 35; [“‘gdosést - cos 00:“ a D 2 Sivan‘kcx) $1.02“le ’ gfihzcxmmaémflhx 7. 3mm) maCdex -' SJVu-fib‘ficcac’dd’“ "' SWZCKH X LIME-{V5 ‘H’fl amafihh‘m' "= S'kiflq’CX.) §€L2CX)<J.X "“ SWZCK) SeCzCK.) CIX u:- +vw1 (x) "1' Swazéxklx - Sd )6 :. 2 ' c. A S ‘ ‘ 7 dun sec CXHX) 5 Jam (x) - :Jranscx) + WOO rx+ C; . sue. '33 “'30: Sainaéx)dx Sm (>0 1 L~CQ§ Cxl c1 @)Ax '- Bah'éxmoscxmk a on = ~swléx)d x = - 3% + gamma—kc ..-_- -"LnlULL* {f Cogtzx) + C .~. —~ 'ln‘laoam\ + #6059” + C” ~ SHE Ki flack .3: S: as am) cos (EX) Ax ”NOTE": cos (gill-x) ._, COSCWX at, Ix) = cogLTFX)¢og (EX) -SQCEX)SI‘H(E)9 ¢°$ (EXP 6%(WX' Ex): Cogofx)ausc-gx)’c$\8(flx)ain(fix) Ms. cangg'x) +CO$ (Lg-x) :2 idosflfi’x)c;§$ (EX) $0 'Hhcd' %;lc,og(.1fx)aus(~n)()clx = "‘ “if (505‘qu )+Qo$<EchlX g5; SM £36) +)fi:$ln(’1£x).]\:z ;;(:§'né'” (1310 )7<5“~Cflr) ”)1 MOE) )+H(£) génxdfkgfi 5n 'DHE as $52 Conséiec "Hm 'YWEA.“‘.£¢ imka‘nl S3564 Lde: S ( L+fah200) 3.6200ch .2 331800 at .+ g 422.500 9260:) dx 1.6+- b- =‘- "-17an CK) dot.)- 666,21 MCI—k =~ woo + Swim =—. +cmoc) +— §u5+g 1?! = mm +— 4; 1m30¢>1-c Thus Vzflgbqsaqm) dx 3: H; (fin (KM J; +¢IW$C>U> I? ”‘7 (Gr-w C£)-o')+é (WEE) 0)) = Et- ...
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