{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1021 quiz 5 A Term 2006 answers

1021 quiz 5 A Term 2006 answers - Name MA 1021 2005 A Term...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name: MA 1021 - 2005 A Term Section 10 and Section 14 - October 6, 2006 Quiz —— Sections 4.4, 4.5, 4.6, 4.7 1. All students taking MA 1021 in A Term 2006 will take a common final exam at 7:15 pm on Wednesday evening, October 11, 2006, and should have already cleared their calendar for this time. Students in Section 10 and: Section 14 will write the exam in Olin Hall 107. No calculators or notes are permitted on the final exam. or FALSE (please circle the correct answer — 2 points) ’2. 3_ S, 3 . x2(x3__x) 7t (7: x): 7: 7C 2 11m 5 2 -—1 veg—Hair x’flczflc x2 1 2 7t"'-—I __ (DC-H) (ac—1)” 7LH 3. lim --2——=— )(Q-fix-Z. (m) ('76—!) 7H2. TRUE r FALSE (please circle the correct answer — 2 points) 4. It is possible for an inflection point to exist at x = at even if the function f (x) is not continuous at x = a TRUE or (please circle the correct answer — 2p01’nts) 5. Identify and sketch any horizontal, vertical, or slant asymptotes of the . x2 + 3x — 4 fiJnctlon f (x) = —. If any of theselhree types of x — 2 asymptotes do not exist, be sure to say so and explain why. Draw and label the asymptotes on the graph below. You do not have to sketch the function x ! (10 points) HoflZon'I-alt u“ E‘RTickL ‘. M. W . . T llm £OQ) :: +06 1mm Pfk) c; #00 J NO HORIZONTAL ASYMPTD 5 W?” X9 1». N“ Ff l” ’rW I“ 96:): a») X=2 ‘5 VE‘ILTMAL. ASYMPTUT‘E 34—77:? 2‘ x—v 2:" xaqu ,__._ $+5+_C3 2,5 ‘13,“.5 ts SLAHT Amman—n: X ’7', X”: I I. ’2 'I .I. I I I‘IIIIII IIIVAIIII III-III- 6. Determine two real numbers x and y with a difference of 24 such that the quantity z=xz+y2 is minimized. (10 points) ConCauIe DP £(Rr7pk’uq) 'K" ”‘2 is a. Skbgl Minninum Need 50m it's-l U} _ X+ 1"] -; \% +17 ask“! $5-11— !) min not Max U91) : ("1:11) P {4“st 7. Evaluate the following limits. Show your work. (3 points each) . 7m5 —x - a. 11m —5-——-—-3—-—-—~ Hm 2x +7000x —4,123 (UK, we might know the answer by inspection - but I want to see your work on this one!!!) pwme mmuen BY x5 in NUNéYI-Ar'i‘vsll- + osmium/wax l \iLn 1T " /x“' X900 ,1 + quota/K3 __ Li-l'LB/Kb, Appur LIMIT R‘WE'S \ him as $2” was *‘* ,. Tho , W M I a” .——-. M '2 ? hm "’33“- “M Lil—13 2* b1 0 2” Rafi“) \c-avoo K3 W5“ ‘1” W x~>oo “'25" _, i‘ )(—.(;(-1-'L>3 _ lmn _. w , \c—‘aoo (x— +~ dxna’ >909 S f ”2.: 7 Iiim --'L( X4500 __ ii;V\ x 7L. ihax x1113” x—wo 430° 8. Sketch the graph of the function: f (x) = x3 - 63C2 (graph paper on next page, please sketch the graph there). Label everything you can think of! (12 points) ' ROOTS: fifth—M? 0 (0,6) K46 5 L (9,0) )MTcncev-rc x709 Mun-,0 (0,“) («Hum W51 W64); 3x2~ 0.x -: 3X('x—L+) = 0 =7 En“) Kw 2m “k DWWMWE 11957; he 'x-‘t 516M (_ 90/ o) -- ~ + IKCrPasmr)’ C 0) Lt) J" " “ Mcreaflw; (”h 0°) +- 4' + ereafl'w-b 2nd DERNMWE ”PEST: P7X): 5%,“; 72:2.- »3 (2) ~46) SL633. (—- 0°) 2..) ngsxhue Comma? down ( 2' 00) Testh-C Concave via [NFLEC-non Wand-r occult: 8 (1,46) VWTWN- A-SYNPTUTE "' “one; ‘R’ncffian Cantu/nun” an — Ob 4' 3" 4 m ‘ — . E- HMLI‘MMTM. PrJYMPTOTe’ hoflfl/ Xjfimk. 90 PC?) f M _ O’Tlrttffl. ?°IN?5 _? x Em C ) —* "‘" E- ‘E‘: s“ —‘z.< ‘_2 *7 e o o 7 Lrfi MCWLSW} d6“ EASW‘j m Cneasmj r“~”x¢”\r~AmNA/\a ,”IIIIIIflIIIflIIII 2,IIIIIIflIIIIIIImI ,WIIIIIIflIIIIIIIMI .fiIIIIIIflIIflIIIIMI I4,IIIIIIIIIIVA-III!!! ,ZIIIIIIflIIIIIEIMI 3IIIIIIflIlIIIIIMI ~;:=:====aga==fis%= ji-I-I-l-flm-I-IIII 4 IIIIIII IIIIIUIE WLIIIIIIMIIHIIEWII EEEEEEF/fli EHEEEFQEE — ‘Lu \ flyIIIIIIMIIImIIMII 4$IIIIIIIIIINIMIII JZIIIIIIIIIIIEHIII mm IIIIIIIIIIIIEIII CochwL-r Dov-1N (oNcAVla; UP Graph for problem #8 goes here 9. What are the dimensions of the cheapest cylindrical container which has a circular base, no top, and has a volume of 327C cubic feet, if the material for the side of the container costs twice as much per square foot as does the material for the base? (10points) Vt'llrziq '5 22‘“ 7) (a: "— \Q 0951': 5/; 2(2firm+ WV?” (:03: Nimitz-(:DT m?— o<r<°° Ir * f c. ’3“— C (l L" 4— ’LIT /\ C ALWAYS posmvE °N DOM/MN} THU} (at) CONCRULG, w? ) AND" ' SD R7“! [5 MINIMUM ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern