Math 1A - Fall 2001 - Sarason - Final

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

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
This is the end of the preview. Sign up to access the rest of the document.

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:-=| ...
View Full Document

This test prep was uploaded on 04/01/2008 for the course MATH 1A taught by Professor Wilkening during the Spring '08 term at University of California, Berkeley.

Page1 / 10

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

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online