Sarason05 - L8cfw'rtcfw'tvEb blHb4'lt4Ib 1b:44 UUH I!4AIN...

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L8{'rt{'tvEb 1b:44 blHb4'lt4Ib Mathematics l6E Saraeon UUH I!4AIN LISHAHY Decernber 14, 2OOE do rot wish the FINAI, EXAfuIINATION Name (Printed): \$iguatr.ue: \$ID Number: tr Matr Ga€lia.rdt GSI (check one): n Joa llarel tr James Kelley. Sec[ion Number or Time: Put your n*rne 0n wery pege. I Clostd book encept.for two crib sheets. No Calculators. sHow YouR woRK. crass out a,rything yolr have writben ihat you grader to coneider The pointe for each question are in pareatheses, perfect score * lE0. Pt\tib" a'L/a9

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'rB/'12/'wHb 1b:44 bIHb4224tb UUS I"IAIN L1HHAHY HAUL V',tlW 2 1. (10) whab varues of a and b mrnimize the functiqn E{o,b) *,(b * a * 3}x + b? + (b + a - z)zz )l= A = zct-a+g) C-r) t-{l+a-9 = Iq_l" = o 4 = z(!-a+3) * zL *:(!|a-.) = :!-:-A-f (*alr .-Ltz.a,-a : 6L *: Es Qa=}=_"- L-_/ I/ .t.= O*-7.=_13, 2' (1S) Let ihe continuous tandnm varia.ble Jf have deosity fimction J(c) : f r,6, O S fi 5 1, compute the expected veJue,E(x) and the rrarience var(x). fr Eu) = J" x*;^ .,1* = J:' *x'/, J, V*(r = I"' (x- .r)' 4{,.), Henn 3 I' x. 4s )r e),
16t12/2848 15:44 514642?416 UCB IIAIN LIBRARV PAGE 83/A9 3' {20) The number of pairs of shoes the Fhiim zee.shoe Cor,npany c&n manufacf,ure per week with the utiliuation of t unite gf,lalor.and E rroitr of capitai is given by the ptoduction function tfu;il - ilAistd'Ud.
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• Spring '06
• Sarason
• Math, Trigraph, UCB I4AIN LIERARV, rhe rrianste nith, UCB I4AIH LIBRARV, Cor,npany c&n manufacf,ure, ptoduction function tfu

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