exam-2sol

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

This preview shows pages 1–5. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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. ...
View Full Document

## This note was uploaded on 03/29/2012 for the course ISM 2011 taught by Professor Goel during the Spring '12 term at UNF.

### Page1 / 5

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

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online