07mid2asol - MATH 13OG-MIDTERM # 2(a)-2007 < / 6 :3}...

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Unformatted text preview: MATH 13OG-MIDTERM # 2(a)-2007 < / 6 :3} NAME and I.D.# (Write Clearly} Instructions: This midterm exam consists 0f 4 multipie choice questions and 3 long answer questiflns. The multiple choice questiuns are werth 5 points each, and the long answer questions are as indicated. The total value of the exam is fill] points. Place your answers to the multiple choice questions in the bases below. All your wurk us the lung answer questions must he eieariy nmrked. Tau may use the backs of pages. For tong answer questions, YOU MUST SHOW YOUR WORK NO CALCULATORS. NO BOOKS. NO NOTES. If you need additinnal serap paper, it will be prnvided by the proeturs. Answers: Multiple Choice Sectien Questions (1-4] Question 1 Consider f = 2m3 + 3:}:2 - 12:1? + 1. For what interval is this function decreasing? A} [-001-2} E} {-10} DJ {1.3} E} {1.00} Sfiiul'fiifl In iglfeh=éx1+ h'xr 1'1: éfiti‘e'x—Z} : {ct—1if'1ai-2) fl 9:: '2' a“; 3: —oo ‘1 i. “3" Questien 2 Which of the fsiiswmg staternenis is correct for the function fix) = 2:3 + 3r”- — 12: + 1 Inn- A] There is a local max at :r = — . B} There is a, local min at. :r : — . 5 Ci {here is an inflection point. at :r : — . 1 D} There is an inflectien point at s“ = —§. E} There is an inflection point at .'r = 1. Nil-4h: Sotuhen gi‘i'IW: (3 {11+ x- l) ifs}: 6(1)“: l) J EH (1‘): D I: r F -a——-— —F"— Question 3 Let fir} be ufuncflon satisfying f’{:r} = 3r2+41‘—2 and flu] = 2. Find HE}. ng (3)-? DJ23 E}-4 501mb; CH“ Si1113§fn11911= S (311* fiat-igalot: x + ifi-‘ 23+ C. Question 4 Suppose that a. demand functian is given, by p = 2:91. What is the Elasticity (if demand when 1' = 5'? IS dflfllflfld emetic or inelastic? A} —E._ elastic B} —_%_. inelastic C} —%. eiastic ’ D} —1%-. ineiastiw “ E) —%. elastic Sunken AK- 1 : Eh": _ 50 = _. "1 x-f‘m ' (ix—1 .cx- ‘5‘3‘ 1 Long Answer Section Questions (5-?) Question 5 {14l points) A retail store can sett ‘tfl toasters per week at a price of see 3 each. The manager esttmates that for each It? S rednetton tn price, she can sett two more toasters per week. How many toasters shonta she sett to maximize revenue? a j White a function for the totat revenue, as a function of the number of toasters sets]. t1) How many toasters shonta’ she sett to maximise retrenne‘?r e} What pn'ee per toaster maximizes the revenue? ct} Be sure to esptatn why your answer is an absatute maximum. 501s.”an [0| REL}: 'X. fo‘}.1 —’ba 210- 0 two 41 _i'+‘1 fix? D '3 = ‘50 =_5_ =3 :1 _ U [300 1‘10 ite- ‘Xrt-Io £11-41”; 1‘30: Soar —5:~r_ D: goo-‘S'xfl' Rm: goon - 5 m1 a ranges +102: o, 1= 50' Nah—10 as RVs-m to 1l TLffERQrQ‘ a} '1':- 501 R [0'01 ’Wflx, M 50 ex “"13 s em elm as It Question 6 (12 paints] Evaluate the foflowing indefinite inteymis: m‘2 : —d‘ I umg—IEI .41 I “1+1 l '4' | 7. l I: "“fifLL=—SLLcJLL=-——-—r—-‘LL Em 3 5 5 . 3 _ 'i‘” H: 1-”? 0L“: LL. dart: 32:12:95: ' 1 “(dart-I 5"“ '5 “1 :E(1,l53 4? C. 3 1—163 I= IVE _ _L “1 ‘L 1: %Qx 1.1- 1139: -: 81 do: — SKI-ATE L+l "i" 1 z I ‘1 = x -‘ “K + C ‘I .."_ 3: A. 1?: 12- — 2 111 1- C Question T (14 points] Consider the funetien: s+2 ftrl=$_3 Find the domain of the funetisn. Find ett e- and y- intercepts. Find the intemets a increase and decrease. Find nit critical! points and determine their type. Find ntt inflection paints and usymptetes. Detennine the heheeier of the function near the vertieet nsynnptetes. On the fettewing page, graph the funetisn. inesrpsrntiny hit! of this infsmtetian. .nlfl : SELF—h} ~ffla1=eESI {GI—.123.) ~l Metre-1 new. red-2' (4—H?) n filflf}: flji42‘ = _ “ti—E MP (4512' Ne (UP, me Here 11' flu:- ‘K.S.H«. £Yfl=e ...
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07mid2asol - MATH 13OG-MIDTERM # 2(a)-2007 &amp;lt; / 6 :3}...

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