MAT284-2008Springv2 - Final Exam MAT284 Spring 2008 Vcr.chotâ May 5 2008 Ir(r 2n2 and s(r(a/os(a r 3 a a 1 ûDd(b)aol(o 2(a Write the equation

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Unformatted text preview: Final Exam MAT284 Spring 2008, Vcr.chotâ May 5, 2008 Ir/(r) : 2n2 and s(r): (a)/os(a;): r. 3¿ a a 1, ûDd (b)aol(o): 2. (a) Write the equation ofthc Ìine passing rhrough rhe poilìts (1, (b) What is the slope of this lirìc? (c) Wlrat is the slope ol any Ìiue pelpendicular to this line? -2) alìd (5,10) 3. Fi¡rd the li¡nits iÎ they exist. If the limit does not exist, say so (a) lirn r''ì t-l - 3e2 - 21: - I: ¡2-ø-2 _ ,,,',.' r-'¿ I-2 ,. Illrì ..-r - 3¡2-1 5.¿'z * 41 3 -- 4. Find the seÇond delivativc ///(c) of l(') = '"t -3* -ztt+r ,5. (a) Finil the dcrìvalives ol the following functions. Do Not Sinrplify. /(r) : (e"' t' t2)(2ú t¡)v: ,ffi (c) 9(r) = þP + L)z/z 4x + 7) 6. Fol tlre function y - "f(r) : (a) Detelrnine all crificaL vt 2r3 - 3rz - ues (:t yalues) for 12r /(r) (b) Deterrrine on whât jnterval tlìe f\nction is tlecrca,ring (c) Fol whaL clitical value does (d) For wh¡t critical value does / have / have a relatiye ntíniututtt? ^ rclotive naxinlutn'l (e) Deto nino the location of any irfecriotr poirtt lor f 7. (a) Cornbine into a single logalithnr 3logc-]los(lll+2): (b) llewrile so tlrat tho oDly logaritlÌûrs occürring are log toí¿\f"'+.: 8. Find the indefìnite integrals (a) .l |t:5 + 7e"c1r (b) / t;dr : (l¡) / #dr : - r and log(r + l), 9. l"-ind ;¡/ so that *: t* + 20 arìd y(3) : 30 10, (a) Cornpute 2o int ela sti<:ity of d entand when lhe dernand ec¡ualion is 1r (b) Is dernand ela,vic or inelastÌc wllen q - I0? : -?L ...
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This note was uploaded on 06/17/2011 for the course MATH 284 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.

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MAT284-2008Springv2 - Final Exam MAT284 Spring 2008 Vcr.chotâ May 5 2008 Ir(r 2n2 and s(r(a/os(a r 3 a a 1 ûDd(b)aol(o 2(a Write the equation

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