exam-2sol

exam-2sol - MAC 2233 2nd Exam Spring 2007 (6 points)...

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Unformatted text preview: MAC 2233 2nd Exam Spring 2007 (6 points) Differentiate the following functions M4): qxfimxzi—uw ‘~‘- H x3 4— 3x2 fix (b) f($) = ($+5)($+2) .¥'()() : Wwfl’ (MM (x+s>[(><+9-fl' ~.—. (KM) + (H9) 22x+¥ (c) f(.'1:) = 5(225 +1)5 $50 = mum)” C2x+z)' 1 29(2x+“1)”-2 .1 ‘50 (93¢qu MAC 2233 . 2nd Exam - _ Spring 2007 (4 points) Differentiate the following functions (a) = 3x/x2 + 1 x2 (b)f(m)_=m+5 32m (xe’Cersz’: ¥ ; ' (y+s)i . 4* : ixCX+5>~xQ~l : '1XZ+IOX~X2' Rwy (“931 L x144“ _ ,xCHLo) (x+9)1 (x+s)£ MAC 2233 " 2nd Exam Spring 2007 (8 points) Consider the function f :2 .’L‘(2.’I}2 + 9.7: + 12). (a) Calculate f’ Use a sign table to determine the monotonicity of f and a: coordinate of any possible min / max points. tum)? mien? * ‘32 elboatxg HEX +12 =(>[X9‘+zxti> ‘LC(X+1)CX1"D ----> 231023 ~1l..£ .Molx oi ¥=~2 MM 3} x=~' ¥Z C’ml‘Q) ix. ow (“1,fim) (b) Calculate f” Use a sign table to determine the convexity of f and the a: coordinate of any possible inflection points. Mo = [tummy]! : 60.x Jr?) -—9 ‘levoes 4/2 1hQQeaiim/1 foil/til 6.1 X:— ~3/Z ¥ Cow/ex up all? (“WI—“WW gleam/ex (Lawn (9J7 Gag-1+9") MAC 2233 2nd Exam Spring 2007 '(2 points) - Consider the function M) = x (a); Does it have a Vertical asymptote when (1 7E 0? Where? Why? Darn/10 ? :XL q .13 )(L-voLj-i Sihcc. (fix) : o éyvr‘xv a z o 4.3 x gm posstz vujnch -a9%lmg+0ka* X=Q_. COMQIYMZ 2 . v , H ‘ (COO-«(ML 0 dbi K=rot veHicaQ asgmflvk. qflm)=&‘k=° m—a (b) Does it have a vertical asymptote when a, = 0? Where? Why? $0? Q30 , 'Y(Q):0 Afi‘(€l):0€—— I'VICOM(L13;VL We, expect no- oslémfl‘f’k,1?rms hm £60; flit/In ’ :— 12“ X‘WL Xao X-O Xao aflam ¥(x)%£oo' 90021 X4 0"? t; MAC 2233 2nd Exam Spring 2007 (3 points) Bonus Problem: Consider a “power-law” demand function as = f (p) = p“ where a E R is a parameter that can be any number and p > 0 (Le. no negative prices!). (a) What is the elasticity for this demand function in general? (b) For What values of a is the demand elastic, unitary, inelastic? elasiic $7 Elf) 7L ‘ r ‘ $7 “Wine; Miel “4&le Etfl<i V " Qwfiléfl m>lwl~r (keme Sim; ‘HAL demanak gut/Idiom ({0} Jim“ ‘ 7 Ge chamelsz “mfg nines Q40 are «cilian m 53C. ...
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This note was uploaded on 03/29/2012 for the course ISM 2011 taught by Professor Goel during the Spring '12 term at UNF.

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exam-2sol - MAC 2233 2nd Exam Spring 2007 (6 points)...

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