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BC_MAC2233_2010_0722

# BC_MAC2233_2010_0722 - MAC 2233 Quiz 11(Take —Hnme SHORT...

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Unformatted text preview: MAC 2233: Quiz 11 (Take —Hnme) SHORT ANSWER. “TIRE the ward or phrase that best enmpletes each statement nr answers the question. Show all wm‘k CLEARLY in the space prnvided. Find the derivative. ‘v'oo :e'ﬁ: HI): WWW” = .1 EL”; + {reqx‘ﬂw 92:) w £00 “(:0 '1'" (I? QH'I‘ (+- Hui») AMT Purim.Hm E ﬁlm-m 5” “’9 Twhfﬁ H's. N“ w 19> at: (1—1. - <3e‘*"'+ 3e“ + reef Mixe- MULTIPLE CHOICE. Cheese the nne alternative that beat enmpletes the statement at answers the questinn. Find the derivative. in?" 1}}.-=En1x2+x .3 A1er2>< + 1 C} ﬁxe-‘V‘ + 1 D} Sxe + I (a: re“ 2} y = Eve—le ._ I X - \$3615“? I) ' ‘H- ‘25 L ‘ELH—I- ‘tﬁ - 98% h. -" _l—|-'—'_-"'|-..h_-_I_ (lax-“)1 (ﬂex-H)?- . 4ek EX {291+ I]: 2e-"¢+ 1}2 Find Fix} fer the fnllnwing funetinn. 4; 95 3 aﬂnﬁ’rwi A} Sea l3} :11 C} 525 D} e5 Find f” {x} fur the fnllnwing funetinn. [ “1+; '3} ﬁnalize—43‘; C} em = are-4k D) em =—1ae—4r« Properties of Logarithms CONDENSED = EXPANDED 2* log“ g =10gaM —loga N Difference of Leg; Leg of :- Queﬁenf N (Le ef Te - In of beﬁem} (these properties are based on rules of exponents since logs = exponents) 1 b “ LA ' ’[y‘]- NIH-L it)! Sec. 5.1: AnTideriyoTiyes DefiniTion: Fﬁx) is on onTiderivoTiye of gﬂx) on on inTeryol if F'ﬂx) = gtx) for all x volues in ThoT inTeryol. Performing onTideriyoTiyesi AnTiderivoTwes ore deTermined in The following order: 1. By reeogniTion [This is The deriyoTiye of whoT TuneTion?) 2. Power Rule for AnTideriyoTiyes (This is :1 reverse of The Power Rule Tor DeriyoTiyes) 3. SubsTiTuTion MeThod 4. InTegroTion by PorTs 5. Speeiol Approoehes (beyond The scope. of This course}. NoTe: If Two funeTions: fix) and QEX): differ by n eonsTonT only (ThoT is, if you subTroeT one from The oTher The resulT is o eonsTonT), Then They will hove The some deriyoTwe. Thus, if we Toke on onTideriyoTwe of The deriyoTive of eiTher ﬁx) or gtx), we could geT eiTher funeTion. If we hove no oTher informoTion To indieoTe which TunoTion H is, we use on orbETrory eonsTonT C To represenT The eonsTonT of Tbs}. This C i colled The CONSTANT 0F INTEﬁRATION. I J £3 inc/(Expex N 5%: Q13 J “like josh-7:23.31 +C AF'_I33|EJ.IILIS_2|IIII'EI_'I204g“: - 3."? - MEII'I HID“! IS 200'? 19:34:19 [B] The fellewing Rules are genemlizaﬁens ef the HIJtH‘e rules. 1. Constant Multiple Rule: Ft ruff;th = ﬁ'ﬂﬂc’é‘h‘ Example: jqeee==4jewe==4ex—C‘ 2. SumiDifferem-e Rule: JD‘U‘} — girﬂrit = J-ﬂrrhit + jgbrjdx Example: “it: + are = [Exam — %tfx = I3 + lnlxl —C 3. DEliTﬂﬁ‘l’P of :I ['nnetent I {the = fer — C'. where I: is a cone-taut Speelalease: j-CI [it = C' (line'ng ekere It}; J's-nemmtmn. Example: jmw=1m—C 4. Simple Pﬂﬁ'ﬂ‘ Rule: J .1"'.:'ﬁt = 1 I341 + C (Add 1 t0 the exponent then divide by the new exponent) J'+1 E :1: a mple : Jtsrj — 3x2 — 11d? = _[x3ti~r+ Jixjcﬁ‘ — lair = 31] 1‘3 1— 3 t 3111'2+1—.e+ C 1 = \$1?“ + 3 - \$13 —.‘t - C' = 731:4 +35" —.‘t'+ C Ex. 5.1 Find The an’rider‘im’rive/indeﬂni’re inTegml. ...
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BC_MAC2233_2010_0722 - MAC 2233 Quiz 11(Take —Hnme SHORT...

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