BC_MAC2233_2010_0727 - MAC 2233 Exam'3'IULTIPLE CHOICE...

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Unformatted text preview: MAC 2233: Exam '3 'IULTIPLE CHOICE. Choose the nne alternative that beat enmpletes the statement or answers the questinn. t+2 1} DiffEJ'EJ‘JtiflfEIB H Infill I _ t 3.1; A} {.1- + 2}nd — 1} [r — I] II {I + 2;!{1' + 3) @I + 2 E] mme (If the above ind Fix} fer the fellnwing function. 2; m = 95K: + t A111”an + I 3(?I.12) C) J 3(1411'12} @ZFH? In 2] [3x — 4} In 1D {3x — 4}1r1 10 I3} + {3 Infixj] @ x5[1 + f] 111(3):]:1 .7 Find the antiderivative. e; fissi— a) as A} 5x2 _ as + C _ 3E3} HUI—.311}; r. A} 3831 + C Find f”{ ] fer the folio 'n funet'on. 1' 3 ‘ _i_.__ "H_,,__‘"“sg 1 5:061 ‘ Ii} its} —.7 infih— I} 2'43 24-3 ' ' —— Bi— (:1- . D] . ® {9X_I],2 {gx_n2 ELK—1 931—1 PM): - 27(sx-g)“2(‘i) : '2‘805’3-94 l3} six (9 ass-5K D] —25e5x if 5 g}: "F (0:963. if-'5 :: 2 5:3 SHORT ANSWER. Show all wnrk CLEARLY. Write your answer in the space prnvided. Unless ntherwise instructed, gi exact answers. . i if 12; Ha} =e5" : (15“, 5 : 5&5 A} sefik Differentiate. 13} y = In [in {in 5x3] [Fpflints] SHORT ANSWER. Shaw all wnrk CLEARLY. Write y-‘aur answer in the space provided. Unless ntherwise instructed, gi exact answers. out” n Differentiate. 13} y=|n [111(11‘13xj] [Fpflinis] “*1. [13 painis] Find the requested value {if the sec-and derivative {if the function. Give the exact value. 15) ftai=4e‘*2; (a) Find it} rear: {it} ma}. (b) Determine i-vhether the graph Hi: fix} is; inereaeing, LiE‘CJ'Erlfiillg a'n' turriirig at x = 4. hi} Determine whether the graph Hi: fix] is enneave Lip, L‘L'Jrieave Lh'nvn a'n' neither at a: 4. [13 paints] )8" 'a = r36 +[~‘3x) (:2 xe‘T‘ v _ 1 fl?- _ 306$ ‘* ~3e‘“+1éx1c,x he): ~stvue'“’ <0 {a} (i) PH] = At a = LL the graph til: i5 {b}{increafiilig,.-"Lieel'eaai1'ig} [{2} {Ct'}ltCr1‘i"it}-’] MAC 2233: Exam 3 Find Fix} and f” {x} fur the fnlluwing functinn. Simplify ymu‘ answer. In; my =x-5e‘h __ -g -6 [15 points] u u - a u ‘ ‘U‘ : 6'” I — f I- .- «Cm __. marl-mu ._ _SK_L€_1X_+ 5‘ ¥TFL$);ufv+qu+ VT W “r N—(——‘ 7C6): 3 D X46 Xi‘ *SX'L. Find the equatinn in slope—intercept farm of the line tangent tn the curve at the indicated paint. Give exact numbers. [9 points] 34:0 MAC 2233: Exam 3 Integration When performing inTegroTion/onTidifferenTioTion, follow This order: 1. RecogniTion (o1c whoT funeTion is The expression o derivoTive?) 2. Power Rule (reverse of The power rule for derivoTives) 3. SubsTiTuTion meThod 4. InTegroTion by PorTs. NoTe: Eoeh sTep ineorporoTes The previous sTeps. P236) '2 GOV“) Integration by Substitution - Used to perform ontiderivotives thot do work by recognition or Power Rule. - Usuolly opplies to composition of functions and some products. - Is loosed on the reverse of the Choin Rule. ‘01?- g—l—AMLG’): g( | _ w} 9 ‘46!“ : Dix 51.2.9 0.5 1 I'd; U: L? {Ii-I g. I i d d' 3;“ u: I x “=9 3du:3xa{x a- 0.5;? E '3 J 2 8” Fr L" 3 C .._ '5' I - 3 +1 ——————I—=h: ...
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