Math 1A - Fall 2001 - Sarason - Final

# Math 1A - Fall 2001 - Sarason - Final - J'Iethematiee 15L...

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Unformatted text preview: J'Iethematiee 15L, Seetien '2 Deeember 13-, EUUl Saraenn Fina] Examinatiun 5 Dhuruﬂlg I'Ceme [printed]: ___ ___ Signature: _____ __ .- 5”}: GEI: Sect-[ml Time: Put. yeut name eu every page. Created beneﬁt except fer etih sheet. Ne t'eleuletets. EI-EUW YUUE WUHH. Cree-e e-ut anything 3mm have 1written that yen :11: net went the grader Le eeneh‘ler- The points fer each pmhlme me in yen-entht-Hee. I’I-rﬁ-L-L were = ‘21}I}. H. UH} Suger flit] — | 1—312. H' y u _." -:- f end .I'i = f :=-_I;rl what are and EU}? WJ. inure-k giant": 3‘;- ﬂu {La-In- .ﬁJﬂﬂg .l EIEIHI: Fault-:uﬁEF‘it't 2 F'HIFIHH : iﬁ1|11=® mm. 3M: HFm‘i: 'F|H=E. Eh} get: eh» me] aﬂml 1. {15} Find _|"" Mr [he given functiuns f. '— [aleIIIJ=1.r“'1 r 63+? cramme'v’m :z-H{r3=[r 'J g-[H' d: , 1 ~—— ﬁlm-:1 : x: 1 .1 :- li ' -. 1+ *3. :ﬁl+11\hh*H‘IH-¥x= 621m Warn-4.13:. m r'- . inn 1. E- d . F'ru: a” i ii 3min : ELLH : ---F-—« 2 iv! a145,“ I'm m m;ij Milan IL: Mm ‘rz-H-u. “C: 34: El 1 I: 'F'. I: . , =1. B:- m mUM-N‘ 9-6 5...}; ﬂing} “F'la-c'i-t i‘ﬁ /- Nam-5 _ _ — ._— -.r 2. {'15) Evaluate tlm. limits. :"'-5 —1 — . -'— whim“ i— — {uuhgxww 1—1] Emmy” --£ 2—4: I E max-1 _ iv“ ‘EMF 5:: !! —-:~-;.m51 [LﬁA'Hm—D’d ﬂit“ x:- u rec—5.1: Jill - “an 1 gal-5M1] H, MIL-r”— +E 'H. 'if-‘n NEE 1111» H- : Eight ——*=I. m:- uﬂ-au um inn-1h» 1 .jI-urq-t. rah-Lik- _ I'II'BIL H-Jlﬁ ‘ I] HH‘I'E- '-I'-c '- :12": : U Elﬁﬂ'l*mﬂﬁj_ . J»- 1..“ iii-Eh a: “i " at h— I“: all will. r = .rlu-m 1 = E 1 ail-“1.: +|"-II U TN aft-Ia 4*- Kﬁl‘ -___—-“-'—""'—- x If?er = i Lia... I; Elijah-.1 Name 3. {15] WhuL are the maximum and minimum whan nf the function HI] = {29: + I]r?“"a HE] the interval {Ii}: 1]?I at} - _ a. 1 We in“ F‘IHI = 1E *ﬁﬂlﬁl‘m H 2' -a.{1u‘+x-L‘|€”1 1 g -:i111~|"jllu+1ﬁg't T31 eﬁﬁ =3”; ‘_ ._. - E 5"“- ; “"11: I- T4“! vEF-JMJHM F Juli: m {-"Jl'i ﬁrm-i mm ”' .— 3. +3 Wm Lilﬂah] LT: whme 5.... [lulu-1| / Narnia __ «In-r ‘1' [1-5] Perfm-m 1.1m integrations. .ﬁ -I- r "'1 I - +' l [a] [15' marinara: {13] f '1: It—cfr. :I:—1 Id-ll Maﬁa ﬂ»; M'ﬂm-m H:E_I] -:l-'-I= Eula] Ii: SJ gist-mfg" 4 '1: J1. '*’~*Jm“-~*=»-~H+c=m;e*1+c {5} mm an M“ L-h=.J{-'I T4: 5-: 5345+! m I. warm. wLquﬁarl, I 5 hqq 4“ ‘ 5 éu :g “5*E'HJ’; 41.4. H H In.- Ir- I— LL: . -. -. l I“ - T wry“ -'e ﬁlial-.11 + C. W - {it-1]”. -u I'll-T IrilE-l'ﬁ'i‘ + C, 'l-l" ~ .. 3 Hz. Pﬁaﬂu m m Ht”; : uhl H: :1-m1 I E13,; rgughulﬁ .II | In rap], |l _ El . “#3 1-H. a. I 11 g [1‘1 El «=I'-.=-I : g -'-1. LHEUHKH-H} «.J.-'-l U I. I. 'l :L . : EX AALLHHLE : GR mu.“ :u'+uE]Au I: I: I: 1 q 'I _ '~l 2'4 I I: 5" '1 1 _ E L E -.r J" a: E} I: _ Eli :B-rﬁn +35} £12 I; - ......_...-——- -_ —-—- :. __ ill-7 'I my Namr‘ ___ 5-. [15} Find the mm (if the J't‘g'inn 111)U{Eﬂ1 by the pant-ah 1.: : 3:11 the y—axigl and thn 1.- tangent 11111: Ll'Il £514: ]}E1I:'£':|.:I-:I|:-1 ML Lhe {mint {Elia}. Th Eng»: Fm: J‘ mam Jun my 4’ “In iEv-quﬂ f: 4+qﬁ‘u-;~l =qk-4_ I] / .illll'l 1 Illn' “WI-ﬂ. = [ [kl—CI.» +434}... —' —R-'II;-"'--—-- u | III" —. +3, ‘- In- L _ an: 1 ____ ilk :1 ,9 II (a +4: L 3 + I = a r '5 E. [15} 'What 1'5 ﬂu? mluzIII: Ur the solid 1m:- nbtaim; 133' I'U'.'i.'l'-L-'iI_|,E." abcaut 1.1m y—Hxia l-L'JH region bmmdtﬁﬂ by 1.1m Tight Tinath c-f the 113'er'h-31-r1, :2 — 1:9 = 1 and ill-f“. iirn: - = 2'? we M‘ run} a ham mind 13 In mw. : x"_'. {bu-41 Huh i“'-"""""“'L'-'"1 W 'Ju-J ﬂ“ ﬂux-m -_ _ m _ ﬁx; mat Iii ﬁlm II D :I Hui-"'1. 1,.IJ TI 1:..- F [I U :l _ru-F-I. Iii-1' 3' ..___.-r"' 1n” 1 _h. :1 “I I, (£1 E“) I: Name i 'F. {20] What 55 L1H: whlmu UP the Bulid DRE thaan by Involving about. the Taxis the Fagin“ hulcm' the line y = d and atrm-‘e Elm mum: y — 23" 4- a"? hu- 5 km“) 1 Lniil‘vﬁ] IIEll III ‘- 1 '- in: "J"- I'} 'EF{ 1111. -[E+e_‘§1gh :lﬁgrli_ﬂikhlil-lnﬁlaﬂ 'J'V'Jhl‘“ t:- wink-[24431 In...” " Z “r [ 5"“E-hﬁ't_1ﬁ“|IJ-h = Jﬁ'(l4'-‘I:-. - 3.: + if“) “I! a. 1 1 a “' { 4".“ a = : 1wk14ﬁm{;¥ﬁ] 1+ 1 ELLE) 1 H». =,1?T Linﬁﬁ - iTr-ﬁ Name I «‘3. [31]} Fur the function ﬂat) = ,_ — .1: * {r1} Hal-ermine the internals n5 inc-mun. Lhc. inaurwta uf decrease, and the Inca] 111:1:{imﬂ and minima. [h] Tl'etermine the intervals ﬂf upward and damn-reward cnuuax'ity: and 1111-} pit-inns of itlﬂatul-jﬂn. [-3) Slim-“fl: IJLL: Lraph. H” w M Fri! 1 + .1: 1+3: I - u. : "—‘T'; -—-—---- = ‘—'-—-"—' [Iv-11 [‘1—3'1} I'I-x‘li Ema-mu m —n'::.: 1.4-] FJ‘J1 IE. Fiﬁ n'l-Lur.| : ﬁlial E Fd-h I‘H‘rm L Flﬁuil£ F.9d: ism Wm ‘ mm Jaw W-: H:-'J 'FE'LH: -1|‘-_ “:1 F"lx1._ ' JP ECIa-pﬂ. 41.3.3 — 3 _|...--u—r—--u- __ ————-'-—"' [ha-<1 may“ {mm-14 Ch- ' ' W _maii_n ,. rliduj F ,5; pm m5"- ‘l‘r-I1 Fulﬁl-11' I: in... W iii-F Hind-tad : F": v.1 F a: W “1: _/,—.— __ / Name _ __ _ _ 51-:- 9. [3m Ship A is hrmted east at. 1:11} miles per hmIr. Ship B is! handed north air. Hill mllw pm- imur. AI; mm: 5111']: B is l-Iﬂ miles dun manhh u." ship :51. {a} What is the rah-.Live pusjtjnn ut' the ships: whim the dis.th ham-ear: thnm i5 smalhm '3 h it What rah-'13 E11? diSI..'=.rLL'e batman L113 5:11:15 1'11E1'L‘rﬂﬁin“ at. 3 .m? . Ll 511T #11 Jami; Hi1. Eh. m {WI-ti“: Fur—1h fa":- Fly-lily! Jn'nu-m'}, I'laa'“ = Frau-kn All [11151=Frirm at E 3:31“: an? ' Fir-5+ Inl'sz'l: inf-31: “J.” IPEI-15'! :‘L‘ Han-51 Ilg: wleﬂfi-rdu L, M¢Fwi} {at La: sum in m mm AM ﬁwﬂ. Tm 53: Elf-PL} : [Fﬁ'l‘ild'r [Eﬁt'lﬁl : =JU*E‘I*"-t"fl- a”... : quaf :1;+u-:-.f] : |=3:|I::-I;:.-t—I"., “j: 3%,,” ELL—:2 :. 1 '5 E 1 "3‘4 idf-"mamap Evil-wt 'E: a? 3””‘1 E: _ quatlt-ﬂ. _ Earn-LL .H 5 4m: I'M .15 13.1513 - 'Fﬁ - -—»-—- L H 1-2.5 ‘13:”: 4h! MP 1+3. (2')} FL henﬁspherical bowl had radius 6 inrhes at its tap. Wan-.- is: dripping inm Lha bawl a1: ﬁrs-m of '3 cubic inches per minulmr. m whaﬁ ram: EH I.|n; wthrgt [eve] [lasing when the wamr is: =1 inf:th dang}? wan-l. L : Tr (In-w 3—1“; a": Wm.“ 5m». W ﬂ: 1m3fml Du if: - 1 *4" Truth-U1} HM 143i 1 1 " = {It ITL‘li‘vluﬂ 'In:-=| ...
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• Spring '08
• WILKENING
• Math, Calculus, Jl'i ﬁrm-i mm, fer etih sheet, EI-EUW YUUE WUHH, WJ. inure-k giant, aft-Ia 4*- Kﬁl‘, Id-ll Maﬁa ﬂ»

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