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MID_209_SUM_10_SOL - [MATH qu ADAM.S.BOUWAS CALCULOSBL...

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Unformatted text preview: [MATH qu ADAM.S.BOUWAS CALCULOSBL SUM/MFR 2010 lVHDTElZ/M E XA/Vl NAME; 2 W?” 2010 NOTE: PLEASE SHOW ALL YOUR WORK FoK FULL CREDIT NOTE: THE USE OF CELL PHONE! IS PROHIBITED DURING THE Exfim 1. Final +Lt VQQW’WQ 04y +l1: rafq%QF/ch “Jiacwlt €4.325 F6?) FR/ and F5 PC2/0/"02 QC‘P/Uo); FICZ’UUJ 3(21’2/1) :l 2 ‘3 “11‘: (’3‘ :3 W191! M’YH-TJ Q. le “a £1 «afl‘w ‘7‘? +2” g’W— ft‘ro‘vk {ZN/‘9) “41¢ a. feryenan‘cugar +0 boflv. «ml J +7? SOLUTJON Lew‘ W Le +119 JIPEC‘LWé NW“ A The A740 1 J ‘ A _ _’ a“ p I 0 Thu (/L:(L+ >X(Jfi‘)= <l/i/O>x<O/1/l>=oy I l 3' Fm“; 1"” 9‘1"“1‘0“ ‘4 #12 Wm #11“ Passe; +11”th +1“: £1411 4‘4 IMfWSCCflW ‘£ +14! yflme) X'zzl AMA 3+23=3 «n4 [‘5 yer-Fm itcagar +° ‘I'ltt Mum x-ry-Xz-H SOLUTION LN us find {Bug/f Pamwefflé fiqMflWJ :Rff' H46 «awe 019 mfersvcflcm 679 Pym/H95 :'><—%=l ami(_)TZ) j+2223 9(2’1“? X:)+t _ 27: 3’2? :7: 3-2t} LIME (L) 2’:& 2:1: NON W 61V? ’QOOKH’IJ fh€ €714“le (’fi 04 ygawa (amid/fwsz 31149 (L) Ferymclr‘cugur to Fjawe (7T3)sx+\j12?:} The Mum/MAL V€Cfor +142 ffime WI qmesflm 1'; —-—) m: XX? 2 or MU Wdfilpge a4) .+‘ wkere I: < 1,-2/ o> IS Me (brew? va‘Ur oi @Wlfi (L) 01144 7: < 1/ 1/“29 +746 Maw/mi WOW/r 0’? Wm“ {7(3): xv —22:l 7 r a 01: / —2 I = ST+3J -+ 316 TAM We normafi mam/r a4 : We ween} dflj‘o a poem. {inf {:0 #13314: awe; M3 FCUB/O) ~ Mme +51% aquatic/m «139 H422 MW 15 1-(>< ~J) +1st ~3)+1-(z—o)v: o XT +2 1 4f. 4' FmJ +11e Add“ch 390M TIN POW” (479‘?) +° ‘Hte «@142 :jft/ 373‘21‘.) 3:4'3t- [W W H) P Q(1) (#1- t:0) __, PQ = <—3/ 2 6> Q . Q R _= W I: <l)‘2/"3> . )5 HM AWE-MU v€mrr flue 1041M (mt ifs—5‘1“ __ 14-3,Q,€>v<1/—z/-—}>J_ NH W "3“*"9| RS - 10m ' 6e : “n? “An: IFHZ» =f: ~— . Tlum - m Hm rUM mom} FQK MFR “GR 1 a m m E. #__.1 g mu: Mum:— new: Mq+4+3g-(%):¢+q_%z i 5. FHA equa‘tl‘w) ‘1‘; ‘HR P464118) +11af are Pamw +0 flit yeaue XTZJ'QE-“J (HA 5‘ wm'U away {mm H. l §OLUTION l Le+ X+2J~2%= K Le +146 equmlm vyfl 4U ygvme Fay/07W to +146 8mm Mum . WW 4 fen/M4 f m We Hm Mme 0 {>03 02"). TI” EON” @(UO/ 0) £495 on +1“wa Mme x+z<j-22=I TM Xr<1/2/~Z>_ PQ=<1_K/ o/o> :5 <é=I>.‘<|_l</' O)O>o<I/'2/—-2>l llwll z 5 3 lu«n<| =15 =9 l<= 44 l<=16 LLWHE Hie eg'uaflm/IJWP Hm 7‘Wo féme) om: Kfzcj 43:44 01944 x r3 {32:16 6. [£44,492 Hie eqwa’tl'w to m .4 +1” S‘mwlflrg jevmu) Lgissig +111 Sur¥x(e_/wl S/(eflh it... 4 ’2. >( 'OL+?1-2X+7g+42’+2 :0 I SOLUTION X‘ZX’ 1 +z+4z :—z 1 J $81 1 : Mi X‘ZXfl‘fU’Wag +Z+42T4 ) 37*?XW‘IM((31~Cj+l-JJT%Z+4Z+4 = 3 (>901, {UEZJHS—H f (Z—TZ) .L: 3 @("V— (8)")2+(Z+Z)L= “L xuf- 9—03 (221:1 2 Z— .2 ' 9’ owip HWHZOSF ONE SHEET. 7" A“? MILth fawn—U Joe) Hm 73(1)::(5'11‘5 Cost/t) i01+er$ccr +71: sflme Kevg 27-:5 ? 3/: SWIt (5171-6) f ((051‘) ‘r T : 5 :9 3=CO§t gzi 3. FI'MJ “‘4 F0!“ «9 iM‘t'er-Jem'm 0% +246 ’l’d’ndmf (we) 10¢)“ curve, 72(1): (Sn/n’W‘L/ 2511‘”th (0371.) GT ‘flfc Pom“?! ——¢ ~—,\/ 1 “WM? {:0 md i=5. E=IWE<TMEO>=Maw> 1/: z <.O/ O/_T>_-_1T40)o/l The. alreHW vfcfof) S L , .J we m MW am 1Y0: <7TC05’H, muonch —‘rrsm7rt> we _ v ) ?(ool>=p A’W‘ini‘z TANQEN’T mm: (L,): For -t=O'—=9 1’0"” / 2 1 1 > 7\ TA’NQEM LINE (L2): For t=L :47 FO’NT ( ‘11/0) / LINE 1—1) .9 a ' . a —o +_. .4 ‘ -" - . a" PM“ {-(f) ii r/C{)=£L+€JP-t€n ,tf {'(o)=crj+t— JJcclt: ig+o< [€th €t+ 6 00%)) (KM mum/aw jtetJt: tet—etqg r (1‘): g+o¢>7+ (53%”. + (Just—5’3 \c ‘F®>= a71%#€fl‘+6r0gj “:4 F03) : 1’ + m 2:1 Lfit'l “d ’| 31 n/L 34 ‘ jt j M: w um %“ a ;= u 0 U 3 o |=<L _ . ’ __ t_ _L f :.-.|_. +Lsm‘nt © Jis:wflt5£=~%‘{i[<os“q “Lt-"n New)” njwjfl (h H twill” 11‘ 1 .L I . 1 . l . ___l_ ._ _ __2__ .1. :— Hewe fiswfitliz— L -2~(051‘n+fi’25m2" 1‘? “’5” “lg'”"” n + n W :(J-zfaclt>T +fl:fl39f + [ jismfllty}: = + 1.557: ~ H. F1014 flue QQMKTM on} +14 '9 '7‘ - -’ cum Fa): caste i— SIYHJ Fewest K F: 05152174 . I ._,/ .fi ,_¢ _, 2. Fa): —sth +C05tJ —-tcmti< HFW)“: Jew“): (“Jatjt (_TOM{) (ff-4a)”: g/l’rtomit =\/:;c’1= sect L‘ f §€ct gt :. 'Q’Vl (Sect+fan’c) o c Q,” [gag {.mnvg]- a“ Eewtmuo o can “Nye”: z WM) 12. Re quwe—Irn‘ze +1413 cum W14 P€5P€6+ +0 GYCLMQrL 4446a:qu 43m“ +141: fonfl WW t=° )44 Hie Jmeam Q41 (Wremnt—t, Fa): 6 Cosxtc +2J + e Sn:th t [S'OLL’TIMJI —-—I- 2+. 1 WM): <16 ~ (osflt-Zegmlt ’ o, e 5.1121; +2€ C651t> / y ,_ 4-“: . t ' +t _ . l “FINN” {4 64*(0511Jc *4afism 2t-4e ~5/flt+ +e+5mzat +46 (0572’: + +6 5‘" 4*} 4t 2 4t 1 V2. 4.1; 1/2 ‘ 2t “F’cflll :{526 (052% {'86 SM it} = {Se 3: 259 If i Z“, t at QEQZLLCIu: Zfifezulu:25lze )0; J2.e_fi 5: zezt—{l =5 SHE: 322,) Ag,” <§L£E>=lt=b CL ‘1: Emkswfiwhg we Cget '5 VFL 7) "T. Z— . E a, sz): 5}? ,cos{2m 1. -+ ZJ + 2%: 6m {QM(S+Z K '3. At Wk“ [WWW (‘00 ’H'TE cur-m sfiux Mme ’maxiwuw (“n/“+“re? ’ DcmuT'OU x K“) I__ L ’I: F .t_ K“): away/z 5) x 1 w x - H L ,L. “FLA 4; xx ' 3 “’f 3 ' i 1. 3: 5’"? 3 But$ld1(€ ><>o (Hg/214 {m3 m [Vow g x 2< I V gim+:(y) :£:2 6+ X") 3/; «(U-Ly ’L—E— : '2‘“ '——X—-———‘ : [I141 -1— i VELCH'YZT X'm x3 Vail)! x-w x2 Q’fils :O.‘.:b M X‘ '4. 7L” fofil‘TIW figqmc‘n‘m 0'11: q Par'rcoet I'J 51m lag Fa‘): 5t) +3460. 6-1-11? sPcei q rmmrfWum? SOLUTION greei = “Fay” : {my} 51 + ét-lér— : $11;sz H1644 +25( “EC/0),: Hal—Carnal T146 6‘96‘9J 136033449} WVWIVWWWI WM 109(0Wflg Wmfwdm- 1“ OHM/f WW$§ wl’H’M ‘f'l’lf qwommry §7fzwfii My) Mame) WWIMMW. fa): 89~54t+€8l I {H}: 16-f'53r =0 {=4 CRWICM NWBFIL l fa): ‘6 f‘k4):{(>o Thu Lfl T146 feamfi Jerzvmwe TeX/f DH {:4 film/MW}? g11~€4++637| bfcme; WIMI’WMV '5. FM; equal-Hg“ 0‘: +)4e OSCMI‘HIMJ Cir-d9 of HM eégi’lje qx1++jL=3C Cl‘f' {he [30'an C7/O) “11¢ (0/3)- ,_ L SOLUTION ‘ 12.): fl = I I ‘ H I - m _ ,2(o;t)(+3(o§() 9' 2' I 7' - ‘1 L /2. I 0 t 2 2-:FwLa {(XMMJ [wwrsj 0} ’§> +0?) :l K(fl_ Tésmtrhosqt C K 1 " a/L: S 7- Co '- 7/L g, 2 Cost :9 XCf)’=2(oSt [4” t “L amt] {4 '"J‘ + a 5 {} LL:5M(=#> (0:35m1 \ 3 n 3 3m) = G 3/ XI“): ~29mf x HR) : —2(05t [45m 1+ q (05 {j 1H): 3(05t; NH”): --35mi U J K“) = Q 3 3M) 11” {4+ Sam A Mme HA4: (uer M (2)0) rs C - G : E, K” t 3/5 7 2% 4+5cofo} Cl L TIWM #149 éstgmbmtj Orr/46 0M (2/0) L143 mJ/W) (2i221: Heme We C€n4+€f I‘S gown '“3 Le L'AW‘U F” “W 1042421‘ #Theymfit 1 (2/0) ~TLM+ 1'; We CWM’W {s a+ (“g/0) 0/1/14 H442 Qquajww e C(flb ‘> é~%>?3ir%g @x) The Polm (O) 3) (ormng/ulfi #0 ‘t z 7% C W”’MW’@;;?=i2=?‘i L 4144 file oSCM’EflT/Mg arc/fie W) Wellu) )2:JE:% “(WM H5 C€Wl+er 15 («Jana +0 L?» M3411) MW HM; Poyvrf (0/3) 7le 1: HM (Mater {5 flome arr (co/1%.);(o/ “Maine flH @Iuaflw “Pa “(ug‘fimfl mm M (O) 3) 1.75 1 Z cw>mya=%—m) TC. from +14“, K: M (IT—"(all3 r U“): l/F’HMI-cho 73/“): .45).?(1‘) AIL—vi 45”},Trri; dsfl F a) M {m TH) (03:1 1; m dt ?2f) y-F’I/(f :- Ell/iffi g; A; ) at T(f)>< (t) 4ft T :11 At ?/f) x?”(+)= Egg—{(1‘) X(T(5)~%L +<S_JJS:CTG)>.X WWW ?E+)><?”(+)= Afifflwdfi w ;; F’cmF’mll-r “GE 7% Ag” f lemxigl} 1 Wm HE!) 5mg '1’“) l5 Hm Wm muffim ween-Jr / [fled/me H7HNI=I ...
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