ࡱ> rrrrrr,s.s0s2ssssssssstttt0t\tttttttttttttttt2l 0npڧn溱棚{ j5mH 5mH mH 0JmH j0JU0J:jZ5EHUj2QB 5CJUVmHj?5EHUj1QB 5CJUVmHj5EHUj1QB 5CJUVmH j5U5 jU jwEHUjJC 5CJUV0tttttn ڧnr:rTīP $ & Fx $ & Fx $xx $ & Fxx$ $@ Px $@ Pxx$ & FDate of test Thursday, November 6 in class Material covered Chapter 6, section 7 Ch 7 sections 1, 2, 3, 4 Ch 8 section 1 Allowable materials Calculator (no TI-89 or 92) 3(5 index card of notes Trigonometry formulas handout Sample problems Which of the following are probability density functions?   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Determine which of the given functions is a solution to the differential equation  EMBED Equation.DSMT4  and show that it is a solution.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find a family of solutions to each of the following separable differential equations  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find the exact solution to each of the initial value problems below..  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find the orthogonal trajectories to the family of curves  EMBED Equation.DSMT4  Sketch the orthogonal trajectories to the family of curves drawn, on the same graph.  State equlibrium solutions, if any, to the differential equation whose direction field is drawn below.  The family of curves below represent solutions to a differential equation. Identify the equilibrium solutions from the graph.  The differential equation  EMBED Equation.DSMT4  is represented by the direction field below.  Sketch the solution curve that passes through the point  EMBED Equation.DSMT4 . Use Euler's method with step size 1 and initial condition  EMBED Equation.DSMT4  to estimate the value of y when x = 2. The density function for a normal distribution with mean 60 and standard deviation 4 is drawn below. If this represents the probability distribution for a random variable X, then:  Write an integral that represents the probability that the outcome of X is between 58 and 60. Evaluate it with a calculator. On the above graph, draw a rough sketch of the normal distribution with mean 60 and standard deviation 2. Sketch a direction field for the differential equation  EMBED Equation.DSMT4  for  EMBED Equation.DSMT4   The waiting time for a checkout line at a large department store is described by an exponentially decreasing probability distribution. The median waiting time is 3 minutes. Give the density function that describes this distribution. What is the probability of waiting less than 4 minutes? A 500 L aquarium is filled with a salt water solution of .02 kg of salt per liter. Fresh water is poured in at a rate of 5L/min. The solution is kept thoroughly mixed and the tank is drained at a rate of 5 L/min. Find an expression for the amount of salt in the tank after t minutes. How much salt is in the tank after 30 minutes? Krypton-85 is a radioactive isotope of Krypton, with a half-life of 10 years. If 10 grams of Krypton-85 leak into a laboratory, give an equation for the amount of Krypton that will be present after t years. How much will be present after 25 years? A bacteria population doubles every 20 minutes. By what percentage will it have grown after 15 minutes? How long will it take the bacteria to grow by a factor of 10? For each of the following sequences, determine whether it converges. If so, find the limit.  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find an expression for  EMBED Equation.DSMT4 and determine whether the sequence converges.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Answers: Not a distribution because  EMBED Equation.DSMT4  for some values of x Yes, it is a distribution Not a distribution because area under curve is  EMBED Equation.DSMT4  The solution is b.  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4    EMBED Equation.DSMT4   EMBED Equation.DSMT4   2.1684  EMBED Equation.DSMT4  probability  EMBED Equation.DSMT4     EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  7.4 kg  EMBED Equation.DSMT4  1.77 grams increase of 68% 66.4 minutes converges to  EMBED Equation.DSMT4  diverges (oscillation) diverges (infinite)  EMBED Equation.DSMT4 , converges to 0  EMBED Equation.DSMT4 , diverges MATH 2414, Calculus II Review for test 3, Fall 2003 page  PAGE 3 of  NUMPAGES 1  *;y+,-.EFGHIKLcdefgh)}rj! 5EHUmH j3B 5CJUVmHjEHUmHj3B 5CJUVmH jUmHjEHUmHj3B 5CJUVmH jUmHj5EHUmH j:3B 5CJUVmHj5UmH jCJUmH j5mH 5mH mH '+y+-Ig-IV $ & Fxh $ & Fx $ & Fx $xx $ & Fxx$ $@ Px $@ Pxx+y+-Ig-IV>* b c  ~wpiaVO      E                                 V  r            )*+,-.EFGH4567:;RSTUVWnڵڜڃxj_j5EHUmH js5B 5CJUVmHj:5EHUmH jr5B 5CJUVmHj=5EHUmH jq5B 5CJUVmHj"5EHUmH j:5B 5CJUVj85EHUmH j3B 5CJUVmH5mH j5UmH jC5EHUmH jQ3B 5CJUVmH$nopqtu<=( ) D E \ ] ^ _ ڳڤڔڍځvmaj5B 5CJUVj35UmH je05EHUmH j5B 5CJUV jUmH jUmHj&*5UmH5mHjK'5EHUmH jv5B 5CJUVmHjz$5EHUmH jx6B 5CJUVmH5mH j5UmH j 5EHUmH jx6B 5CJUVmH">* b c   y ' c s8J $ & Fxh $xh $ & Fx $ & Fxx $ & Fxh $ & FxX  7 8 9 : c     : ; R S T U Z [ r s t u w x y  & ' b c rs赪蜑|jQB 5CJUVmH jG_UmHju\5EHUmH j}~5B 5CJUVmHjvY5EHUmH jO~5B 5CJUVmH jOUmHmH5mHjL5EHUmH j5B 5CJUV5mH j5UmH jI5EHUmH .  y ' c s8J9ļ}vncXQI><          k                 0         (        R          HJ9*D$ & F$ & Fx$x$ & F$ $ & Fx $ & Fxx $ & Fxh5678PQhijk訝菄vkc_c_5mH5:CJmHjr5EHUmH j QB 5CJUVmHjn5EHUmH jK QB 5CJUVmHj=l5EHUmH j2 QB 5CJUVmHj6i5EHUmH j.QB 5CJUVmHje5EHUmH j/QB 5CJUVmH5mH j5UmH jb5EHUmH $*D03Oklovw;F콶콯숁vohaZ                                                    !)*CDstxjjx6B 5CJUVmHj5EHUj}6B 5CJUVmHjo~5EHUj}6B 5CJUVmHjN{5EHUj5B 5CJUV j5Ujx5EHUmHj/5B 5CJUVj{u5EHUmHj5B 5CJUVj5UmH5mH5',-./1234KLMNOPghijmnwxĻ~unkmH j5Uj5EHUjJC 5CJUVjy5EHUj5B 5CJUV j5Uj5EHUj5B 5CJUVj5EHUj5B 5CJUV j,5Uj75EHUj7z6B 5CJUVmH5 j5Ujy5EHU(03Oklovw;FGWde$ & Fx$ & F$ & F$ & Fx 789:rsqhj@5EHUj1QB 5CJUVmHj>5EHUj1QB 5CJUVmH j:EHUjJC 5CJUV jUj75EHUj5B 5CJUVj_45EHUj5B 5CJUVjL05EHUj{6B 5CJUVmH j5U5 j+UmH(FGWde NO`adefghij𶴴                    n\\m&]IA\ݾc |Date of test Thursday, November 6 in class Material covered Chapter 6, section 7 Ch 7 sections 1, 2, 3, 4 Ch 8 section 1 Allowable materials Calculator (no TI-89 or 92) 3 (5 index card of notes Trigonometry formulas handout Sample problems Which of the following are probability density functions?   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Title$a$ 5CJ\j j<%<55XXXXXXXXX[)n j Jj  Fj-EGKceg)+-EG46:RTVnptD\^79:RTZrt     5 7 P h j s,.3KMOgiw79rj:::::::::::::::::::::::::::::::::::::::::::ACHSU[!4t:;"$XfI+M=A6\t1 J<"$lOͣĸ!{E"$FxfNX|L"$-!ǽn/Ͷ"$rͲ]7nZz"$ }]RY`!"$H7<׽azS˺2"$8 U+͜ss%rb "$`S/^Y1@0:(   7 c RA.`jjS`TS`Tj  8 c RA.`jjS`TS`Tj 9 c RA.`jjS`TS`TjB S  ?+IJj7( t9 t8Fqt +;<PQUVijnoxy+I>(*D`;b:VZ 9 P k dek*+xy*I>'*ax 7 8   I J 9 AEdek Christy Downs/C:\Spring 2003\MATH 2414\M2414 exam3p Spr03.doc Christy Downs/C:\Spring 2003\MATH 2414\M2414 exam3p Spr03.doc Christy DnC:\Documents and Settings\Christy\Application Data\Microsoft\Word\AutoRecovery save of M2414 exam3p Fall03.asd Christy DnC:\Documents and Settings\Christy\Application Data\Microsoft\Word\AutoRecovery save of M2414 exam3p Fall03.asd Christy D9J:\ACC\Fall 2003\MATH 2414 Fall03\M2414 exam3p Fall03.doc Christy D9J:\ACC\Fall 2003\MATH 2414 Fall03\M2414 exam3p Fall03.doc Christy DnC:\Documents and Settings\Christy\Application Data\Microsoft\Word\AutoRecovery save of M2414 exam3p Fall03.asd Christy D9J:\ACC\Fall 2003\MATH 2414 Fall03\M2414 exam3p Fall03.doc Christy D9J:\ACC\Fall 2003\MATH 2414 Fall03\M2414 exam3p Fall03.doc Christy Downs=C:\Courses\Fall 2003\MATH 2414 Fall03\M2414 exam3p Fall03.doc.NTv>)n|, 6f_•Go{hh^h`o(.^`o(.88^8`o()^`o(()^`o(()pp^p`o(()  ^ `o(.@ @ ^@ `o(.  ^ `o(.@P@^@`PCJo(.x^`xo(.pLp^p`Lo(.@ @ ^@ `o(.^`o(.L^`Lo(.^`o(.^`o(.PLP^P`Lo(.hh^h`o(.^`o(.88^8`o()^`o(()^`o(()pp^p`o(()  ^ `o(.@ @ ^@ `o(.  ^ `o(.@P@^@`PCJo(.^`.pLp^p`L.@ @ ^@ `.^`.L^`L.^`.^`.PLP^P`L.@P@^@`PCJo(.`^``o(.pLp^p`Lo(.@ @ ^@ `o(.^`o(.L^`Lo(.^`o(.^`o(.PLP^P`Lo(.Tv>)f_Go 6.N@kkkkj`@GTimes New Roman5Symbol3& Arial"h s&zct0w!20B VC:\WINDOWS\Profiles\default\Application Data\Microsoft\Templates\ACC exam practice.dotFirst exam practice sheet Christy Downs Christy DownsԽWWSWWSWWSWWS:Z^]MZ^]M}~`yu5kyu5u.WWSʖWWSzZ^]MB[^]M}byu5kmyu5u.CWWSWWSZ^]M[^]M}~eyu5nyu5u ]zkHY^@շvt . ,] u ,] kly`yIkH] ]Xh7ކ7Z-!B,!݁my wby `koHkoHw[^{CX^{CR/ސz?ސ>K+t7ޒ7-!,!݁oy wey iRސzcސv%,!,!`y fy iRn5kc7 ,]"x:u,Y ^g 2x:*Y.P9@U T.P%@U T.PuR #@AcdefghijnR SSSnT $ & Fxx$ $@ Px $@ Pxx$$ & Fx$ & F "AFGMNOPTU_`abij2RlRR S0SnSpSSSnTpTrTtTTTTTTTTTTTTTȸȯȡȸȁxjJEHUmHj3B 5CJUVmH jUmHjF5EHUmH j:3B 5CJUVmHj5UmH jCJUmH j5mH 5mH mH 0JmH j0JU0J:5 j5UjC5EHUj2QB 5CJUVmH-n\\m&]IA\ݾc |Date of test Thursday, November 6 in class Material covered Chapter 6, section 7 Ch 7 sections 1, 2, 3, 4 Ch 8 section 1 Allowable materials Calculator (no TI-89 or 92) 3 (5 index card of notes Trigonometry formulas handout Sample problems Which of the following are probability density functions?   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Determine which of the given functions is a solution to the differential equation  EMBED Equation.DSMT4  and show that it is a solution.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find a family of solutions to each of the following separable differential equations  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find the exact solution to each of the initial value problems below..  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find the orthogonal trajectories to the family of curves  EMBED Equation.DSMT4  Sketch the orthogonal trajectories to the family of curves drawn, on the same graph.  State equlibrium solutions, if any, to the differential equation whose direction field is drawn below.  The family of curves below represent solutions to a differential equation. Identify the equilibrium solutions from the graph.  The differential equation  EMBED Equation.DSMT4  is represented by the direction field below.  Sketch the solution curve that passes through the point  EMBED Equation.DSMT4 . Use Euler's method with step size 1 and initial condition  EMBED Equation.DSMT4  to estimate the value of y when x = 2. The density function for a normal distribution with mean 60 and standard deviation 4 is drawn below. If this represents the probability distribution for a random variable X, then:  Write an integral that represents the probability that the outcome of X is between 58 and 60. Evaluate it with a calculator. On the above graph, draw a rough sketch of the normal distribution with mean 60 and standard deviation 2. Sketch a direction field for the differential equation  EMBED Equation.DSMT4  for  EMBED Equation.DSMT4   The waiting time for a checkout line at a large department store is described by an exponentially decreasing probability distribution. The median waiting time is 3 minutes. Give the density function that describes this distribution. What is the probability of waiting less than 4 minutes? A 500 L aquarium is filled with a salt water solution of .02 kg of salt per liter. Fresh water is poured in at a rate of 5L/min. The solution is kept thoroughly mixed and the tank is drained at a rate of 5 L/min. Find an expression for the amount of salt in the tank after t minutes. How much salt is in the tank after 30 minutes? Krypton-85 is a radioactive isotope of Krypton, with a half-life of 10 years. If 10 grams of Krypton-85 leak into a laboratory, give an equation for the amount of Krypton that will be present after t years. How much will be present after 25 years? A bacteria population doubles every 20 minutes. By what percentage will it have grown after 15 minutes? How long will it take the bacteria to grow by a factor of 10? For each of the following sequences, determine whether it converges. If so, find the limit.  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Find an expression for  EMBED Equation.DSMT4 and determine whether the sequence converges.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Answers: Not a distribution because  EMBED Equation.DSMT4  for some values of x Yes, it is a distribution Not a distribution because area under curve is  EMBED Equation.DSMT4  The solution is b.  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4    EMBED Equation.DSMT4   EMBED Equation.DSMT4   2.1684  EMBED Equation.DSMT4  probability  EMBED Equation.DSMT4     EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  7.4 kg  EMBED Equation.DSMT4  1.77 grams increase of 68% 66.4 minutes converges to  EMBED Equation.DSMT4  diverges (oscillation) diverges (infinite)  EMBED Equation.DSMT4 , converges to 0  EMBED Equation.DSMT4 , diverges MATH 2414, Calculus II Review for test 3, Fall 2003 page  PAGE 6 of  NUMPAGES 6 nTrTTTU:VrVVTWWWPXX8YYZh[l\8]]^^ $xh $ & FxX $ & Fxh $ & Fx $ & Fxx $ & Fx $xxTTUUUUUUUUUU:Vn@njnlnnnno.o0o2o4o^o`oooooo޹|ui`uj5EHUj5B 5CJUV j5UjF5EHUmHj/5B 5CJUVjB5EHUmHj5B 5CJUVj5UmH55mH5:CJmHj۸5EHUmH j QB 5CJUVmH5mH j5UmH j5EHUmH jK QB 5CJUVmH%mmmmmlnn6o\o^oooop@pxp~pppppqqqq$ & Fx$ & F$ & F$ & Fx$x$ & F$ooooooooppppp p8p:pp@pBppprptpvpzp|p~pppppppppppppqhj5EHUj7MKC 5CJUVmHj5EHUj5B 5CJUV j5Uj5EHUj7z6B 5CJUVmHj@5EHUjx6B 5CJUVmHjZ5EHUj}6B 5CJUVmHj65EHUj}6B 5CJUVmH5 j5U&ppqq6q8q:qr@rBrDrVrXrr}to jUj>~5EHUj5B 5CJUVj{5EHUj5B 5CJUVjv5EHUj{6B 5CJUVmH jmrUmHmH jc95Uj65EHUjJC 5CJUVj)25EHUj5B 5CJUV j5U5 jV5U'qqqq rrFrTrVrrrrrrr4sbssss0t^ttttttt$$ & F$ & Fxrrrrrr,s.s0s2ssssssssstttt0t\tttttttttttttttt溱棚0JmH j0JU0J:jZ5EHUj2QB 5CJUVmHj?5EHUj1QB 5CJUVmHj5EHUj1QB 5CJUVmH j5U5 jU jwEHUjJC 5CJUV&n,7R ]Zt ]Zt ]-Gh%@+Z.JtV ]5Fh-@kZ.Zt֣ ] G] mD]MmDh3@ڂ.ft ]mmEh;@ځ.vtv ]]Dh7@R{c.z.v-] -] fy^kH.vޜ { ,] Z^@7{{.evjykH Z^@W. {+,] hy^ kH.ݰvޤ {=,] "[^@7{WSX^NU[^N{by:ިԽ*WS{ߖWSX^Njy:u/^Խ3WSZ^Nkcy:7oy:uo{WSX^N[^Ncy:ްԽBWS˫ש{,^[zuay:u{ӖO:DSMzWSFY^Nmy:u/Tu+˫ש-^ղzX^Ney:޺Խ`WS˫ש{,^ޛzu7dy:uoK:uoZi^6˫ש^ԽoW:/Խo{,^zWWSY^DSųzY^o=더[)w/y{,7R[Hѽ)wz7Rto`pDZ^oWgy{-7RoUHQz#E6Z>Fx#E67Ot/Fz)wz#Q/F n^K&-7RtoFʓ^ݛ<ѽ)uZ^oO더g)3y{E-7R;Hѽ)/z7RtoipDZ^oky{W-7R^ouHQoz#EZ^o%HѽKky^FHyK{o'Wz#Egkyx#E7Ot/Fzٖ)wz#/Fn^c-7RtoF^ݛ<ѽ̖)[^o$}`^⍔^^i-7RtoF?):y{-7Rt/FݶHK{'z#EX^op더)7X^ov더߼)=y{-7Rt/FHK{烛'z#EfX^o}더^ݱ<)z#EoX^o%HA`y{G,7RƁFx/F8n ݋b*+G{}=^=G{{*zOEQX^L=>޻S4{*zOzOexOEiQ^ȱS{ {*{*z$F,TzTHpEX^,$y{*лwz6DzѻmmSnwۦݶD9zѻmm[n[w۶vD=z{w}ѻѻѻۃѻ=Cѻ=ѻ=#ѻ=ۣл=cл= cѻ=ѻ=ۮIvEdnOBGdnOCG nOC,n@nBnAnC!n@nB1nA nC)n@nB9nAnC%n_@en_BUn_Fun_EM7[!o/ /bys| yv/2cwյJ{X? :Z8a˶y^u>L 0j=/c/u6:PVY9䬅~,?Oen "9"KƛԄl.8 *C?W|>EIF)j6,(aݥhw IDdB  S A? 2<G@GZ|VwJ8f G`!G@GZ|VwJ8f4` dxTMhA~3iݴn?U cZ`JiR<XhVLoIP"Ճ'zԣGAAJY/*̦ajqyf1./3GFcG3|eqVƸՁ)ӆРMP5aw-ҫPXU^>,qdw4ݿDBn9R40Q ZCKuL 7vp g \$_Ym.MC,oApA0%. ‚6yUY"WwyoYOX- YH܆WCE[La#y3x3(c婪{w 0'uX$wY ~Y>0ͨp :ܦ:ju/mLjS1W[6ֽ"k,DGӢƵ;^q0.,$6P*uܘAJFQJfoOy4 )Xvkmӛt=ݛ3vzX~' Z]ab3XD!_G2P韷 #gdHMa&a —9 *s4,mO,dpḾE EO vwq]{u{fa{fa0YngrO, f0=S1Y垊Y垉Y型Y^Ynwr/,rck0˽ގY͘ލYޏYݘ>Y>YØ>Y>YӘ,yr_,'foaf}0} ܾ,f}1~,Sr,?fc5f1A,w0f0Y`rGa; ܱ,w"fc1˝YDrgb;ܹ,w!fs1M,w!f&cYn:ffc[Yn>f(۱7Txeg,qo%r7`͘n,w;f1ݍYvr/w^wCx{no!1rmo)Zm9֖B[;mo%*[l5ʶ{lo-=:o#u /kx_^7u5/xG9^js /x/9^:7ru /x- /(x-Q A/h7 zǢ;? ?>U2wEW$tOD'k|2O?Y?CW^]w;nX{7o.Vc|>h1>4E׫ x3zuGr3~KxKtZO+6-jmہEW-v-}Bx'wEnE.;?z#H|~ |Aϯ+xa+uGaG[^oiGx>w?(|>?]ǣc].q'.eWN?+'y"x7 z纣)A=Tp]0_9t0_9]?]Ӡ;?z#Hg ~a~t.a~t_~A^w_~1Fvq/tq/|R/| t}/~Www z#HW_~5bw ubw=ׁ]b;{ny]o ][0߼V[0߼ ][o ];b;oz#Hw ~`~{7`~{~w Fv!t|aG|1t1tݟ%z[dX)'QE8!0uIp;.\\YM>\%:"?0𒇥qvu 1078|NZjw{'Տ?i(Dd B " S A"? 2x{#]L)`n=I`!fx{#]L)`@e 4xUOHTa=uew5$jwɴh]/*n*a%rSJBV&Dl'-TvN:;Ip ? 4S?ς?s? 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(2}Lb 3ǷY| `!QLb 3Ƿ̈ xUkA~3i~4 #(SH mh=&n%IKU$PBZfzΐæ,%`Y!QN)a85> ڏ3/ B֯5yYrb%G/u>-?5\4WU% LkMP-x-|-x-|$ LkMP-x-|-x-| # LkMP-x-|-x-|!! LkMP-x-|-x-|# LkMP-x-|-x-|% LkMP-x-|-x-|& LkMP-x-|-x-|( LkMP-x-|-x-|) LkMP-x-|-x-|+ LkMP-x-|-x-|- LkMP-x-| FMathType 5.0 Equation MathType EFEquation.DSMT49q LkMP-x-|-x-|3 LkMP-x-|-x-|4 LkMP-x-|-x-|6 LkMP-x-|-x-|8 LkMP-x-|-x-|9 LkMP-x-|-x-|; LkMP-x-|-x-|< LkMP-x-|-x-|> LkMP-x-|-x? LkMP-x-|-x-|A LkMP-x-|-x-|C LkMP-x-|-x-|D LkMP-x-|-x-|F LkMP-x-|-x-|G LkMP-x-|-x-|I LkMP-x-|-x-|K LkMP-x-|-x-|L LkMP-x-|-x-|N LkMP-x-|-x-|O LkMP-x-|-x-|Q7Ӥz6hzDSMT5WinANSITimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  fftt()==00tt<<00 llnn2233ee "- llnn2233()tt tte"00{-x-|a LkMP-x-|-x-|b LkЋ!1<98]\Ax~4bḘ(Z}vMYҳuJGBǝdNgΝR)3G΂+*-;Lx \sgblT+OWWa=J<+""Wvek8iɘĮ!ebn(bG掠;$XMN(nˠzY:ka?ֽNw>d[ sTEݽDCvSmU>@?99&`oPY3*MMOV6bl b{O,eD'g*Eޅ0XypniaF[ Dl>/LC;Tzc.~?vG8 F8iT/RÃ1 #F 4݅BptB"44Dbbq!Mv("".JA[V ;3I{p9!>drD3Db:*KX@bctm)82e92a|LeQnֆ G0_iCx"~^y$:4$Kmg]lqF_Er-|Ӆ LkMP-x-|-x-|Ӈ LkMP-x-|-x-|ӈ LkMP-x-|-x-|ӊ LkMP-x-|-x-|Ӌ LkMP-x-|-x-|Ӎ LkMP-x-|-x-|ӎ LkMP-x-|-x-|Ӑ LkMP-x-|-x-|Ӓ LkMP-x-|-x-|ӓ LkMP-x-|-x-|ӕ LkMP FMathType 5.0 Equation MathType EFEquation.DSMT49qx-|ә LkMP-x-|-x-|ӛ LkMP-x-|-x-|ӝ LkMP-x-|-x-|Ӟ LkMP-x-|-x-|Ӡ LkMP-x-|-x-|ӡ LkMP-x-|-x-|ӣ LkMP-x-|-x-|ӥ LkMP-x-|-x-|Ӧ LkMP-x-x-|Ө LkMP-x-|-x-|ө LkMP-x-|-x-|ӫ LkMP-x-|-x-|Ӭ LkMP-x-|-x-|Ӯ LkMP-x-|-x-|Ӱ LkMP-x-|-x-|ӱ LkMP-x-|-x-|ӳ LkMP-x-|-x-|Ӵ LkMP-x-|-x-|Ӷ LkMP-x-|-x-|ӷ LkMP-x-|DDSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  1"-2 "- 43 E"@.6031x-|-x-|~ LkMP-x-|-x-|} LkMP-x-|-x-|{ LkMP-x-|-x-|z LkMP-x-|-x-"͂pvz[ i7vd0មH]C0y̙z?ifBY%P9=KodYRsAQI} c&*ZUR?*tVeh<U’lWh;;qTkA]lN!׈1ym:]9\KO;[^ǥ5C7VeB\۽7¡ƶZr*Rk^ۮ|Pܸ" (GMi('E4bv1 st@`I8Zn]dAyZ7'wC }̰6_wau#{}F]w'XC~l9DdhB  S A? -x-|-x-|e LkMP-x-|-x-|d LkMP-x-|-x-|b LkMP-x-|-x-|` LkMP-x-|-x-|_ LkMP-x-|-x-|] LkMP-x-|-x-|\ LkMP-x-|-x-|Z LkMP-x-|-x-|Y LkMP-x-|-x-|W LkMP-x-|-x-|U Lk FMathType 5.0 Equation MathType EFEquation.DSMT49q-x-|-x-|Q LkMP-x-|-x-|O LkMP-x-|-x-|M LkMP-x-|-x-|L LkMP-x-|-x-|J LkMP-x-|-x-|I LkMP-x-|-x-|G LkMP-x-|-x-|F LkMP-x-|-x-|D LkM-x-|-x-|B LkMP-x-|-x-|A LkMP-x-|-x-|? LkMP-x-|-x-|> LkMP-x-|-x-|< LkMP-x-|-x-|; LkMP-x-|-x-| 9 LkMP-x-|-x-| 7 LkMP-x-|-x-| 6 LkMP-x-|-x-|4 LkMP-x-|-x-|3 LkMP\DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  y==10e "- t100( LkMP-x-|-x-|& LkMP-x-|-x-|$ LkMP-x-|-x-| # LkMP-x-|-x-|!! LkMP-*29eb%i `!w9eb%i@@0= |ExڭTkAlM6li"T6 J$bh ?JsR(HB/"B "Ef&`[Jy}y`@brDSd2Q <9Ovm.L3J2f?8\xAZn@Ax! Ot bL%uj*-$\`HM=Q`W-w;z>ܒ/ C%V3t9 B#B:B i̐><<4Py(2B?3cǙй0{ƌɛ)'B2l=41:ZgcvgLtʙ(XV_LȺ0Z&J77m2 &*-P^4k^Q-ן=Y|gpr@,>w#RVgGoלWXu%oVc͎e7*z˵uo,9, '_'!AAπʧ%32*w3Ȕe]7OSi9̛͝?ZfwYxZl#`9PTe-9W*wk?z" 69HDd+@P ) S A'? +"28P ު~ `!x8P ު~ M FxڝTOkQydȟփP4 衐tckCnhk1D]l idAA"K=Kz)xx.7uP-x-|-x-|G LkMP-x-|-x-|I LkMP-x-|-x-|J LkMP-x-|-x-|L LkMP-x-|-x-|N LkMP-x-|-x-|O LkMP-x-|-x-|Q LkMP-x-|-x-|R LkMP-x-|-x-|T LkMP-x-|-x-|U LkMP-x-|-x-| FMathType 5.0 Equation MathType EFEquation.DSMT49qP-x-|-x-|\ LkMP-x-|-x-|] LkMP-x-|-x-|_ LkMP-x-|-x-|` LkMP-x-|-x-|b LkMP-x-|-x-|d LkMP-x-|-x-|e LkMP-x-|-x-|g LkMP-x-|-x-|h MP-x-|-x-|j LkMP-x-|-x-|l LkMP-x-|-x-|m LkMP-x-|-x-|o LkMP-x-|-x-|p LkMP-x-|-x-|r LkMP-x-|-x-|s LkMP-x-|-x-|u LkMP-x-|-x-|w LkMP-x-|-x-|x LkMP-x-|-x-|z Lk"$DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  Kr==10e "-.0693147tMP-x-|-x-|ӆ LkMP-x-|-x-|ӈ LkMP-x-|-x-|ӊ LkMP-x-|-x-|Ӌ LkMPe ͛潷e]~TjѕP8#^tuAم) 8l EfH>=اpA*Zg{l2J ~#Ӂw(JiwnnYۆCj.Y9k;9o}iy!@{#=^>;yiGL($+<% ~(܀I&xF&# چen |윴GH^~R',g7m73 #n2]1za(\!P &(ž>f,(!&|~[o/DltޭK1\P>U(51ʿ€C:-,1F H܎VsheFQHe{.|E_3'hLXLhu |Ѵd ; iٴCo2,ݑ}iYŀlcmiq:*'j0 ~ݩ8ՀCI!)GFFC@V:Op ԵE b4n6 3.bfu8IClhR)Dd8P + S A)? -"2c2A!g^3Q϶*Za `!Yc2A!g^3Q϶*ZL v d'xSAkQMc փ%A cCaL"iͭ '{/^dA$_W*Ԩ삧Pp iͰ]Sj-/s6i'Ux0B'^:7yDd8B-|C1 LkMP-x-|-x-|D. LkMP-x-|-x-|F* LkMP-x-|-x-|G' LkMP-x-|-x-|I$ LkMP-x-|-x-|K! LkMP-x-|-x-|L LkMP-x-|-x-|N LkMP-x-|-x-|O LkMP-x-|-x-|Q LkMP-x-|-x-|R LkMP- FMathType 5.0 Equation MathType EFEquation.DSMT49q-|W LkMP-x-|-x-|Y LkMP-x-|-x-|Z LkMP-x-|-x-|\ LkMP-x-|-x-|] LkMP-x-|-x-|_ LkMP-x-|-x-|a LkMP-x-|-x-|b LkMP-x-|-x-|d LkMP-x-|-x-|e LkMP-x-|-x-|g LkMP-x-|-x-|i LkMP-x-|-x-|j LkMP-x-|-x-|l LkMP-x-|-x-|m LkMP-x-|-x-|o LkMP-x-|-x-|p LkMP-x-|-x-|r LkMP-x-|-x-|r LkMP-x-|-x-|t LkMP-x-|-xz6hzDSMT5WinANSITimes New RomanSymbolCourier NewMT Extra!/'_!!/!"!APAE%B_AC_A %!AHA_D_E_E_A  aa nn == nn 22 ++1133nn-x-|-x-|Ӏ LkMP-x-|-x-|ӂ LkMP-x-|-x-|Ӄ LkMP-x-|-x-|Ӆ LkMP-x-|-x-| - S A+? .2ZA.(En~Yc `![ZA.(En~YX v d)xSOkAnjcp7EC hQK61) MI#^aG`EBnET_Zg b+G1غ Dr4fdG2_rOۣc|RTRgDQQH֫餽 2[ɉ4;)nw{p{^fFuZT [0AvLͶH͇X+|8gU?!OկOԉ\wD:XO#H)7g}ݰ*I5Qo ߙ4*⬲BƍV}7[!o/ /bys| yv/2cwյJ{X? :Z8a˶y^u>L 0j=/c/u6:PVY9䬅~,?Oen "9"KƛԄl.8 *C?W|>EIF)j6,(aݥhw I-|-x-|Ӡs LkMP-x-|-x-|ӡp LkMP-x-|-x-|ӣm LkMP-x-|-x-|ӥj LkMP-x-|-x-|Ӧg LkMP-x-|-x-|Өd LkMP-x-|-x-|ө` Lk Oh+'0 4@ \ h t First exam practice sheet0irsChristy DownscthrihriACC exam practicee Christy Downsic50iMicrosoft Word 8.0 @K^@@d5|@1w ՜.+,D՜.+,D hp|  EBj First exam practice sheet Title(PX _PID_GUID MTWinEqnsAN{33116A5D-0AB4-11D8-845F-00C04F2B0279} 4b0^$$ & Fx$ & F0\0JmH j0JU0J:5 j5Uj 5EHU# 0&P/ =!"#$%# 0/ =!"#$% P@=) XfI+M=A6\t///++xyUeaaaefXmtPOdii/B0 bdFBe{o4RX/g6Q<Źzտ?3=ZqsOZYޗo9xGm[]XmvnvVhO e[9a8|{ylcbU :NZ[Ēg^gݲ#y|-ϳb>#0>k{޻Y}ى6"B{;GDWKk*H] Th{B{Uh+rQNm[{nB[/mk5K_=ggǾX56ߗڳ%sm|n-wvex{t?us\6nᄊm+0DK/߾aexU$>D|P!vFCŇ#ć!^->RFZ|xx(uLj׋# >V|\79o/NO/>Q|xD&FIMø$fqzEY|xT)¸TGgϴbnKg[q|ϥ9xs]aYks.~8=!~x_ N?>9_ ~8=0>dxszqzSğǜOb͓K/O 'O .sz0>jqN?M\za|9=0>s/8sV_rN|9=06;fsza|9==^ۜcsz<v8_Nx9=0v;_Kø9=0:_>0t~x9=~Q_uN/Ǘ5/l.=~8=~fr2Η/W/_!RS|JWLK|.\_'~_iG_e^<^zՖ,}㯱@oB=:K-=hy==FKu?7Yz~ǯO=K7[-?ot~Fot~HkT~J^~L;=.K-]7X} ̥o*\z5ͥo)Y.=ג;zszīU!ŇfŚ4&N&>B|,]kīG׈׊k\zN#^/>V|xXq 8 D ś'7O$,>YEY|xT)ħO&*>]|F~U|8=&>S|xlYsg#>O|x8}_umc<7ǎ8;-~iLum@=lOͣĸt{//++xWlEER@%(<$B^"Pxvb>})vzo$H!4XB<#Y{ϙovPV7z-[sBH\&x-'#cKB<$"$k!éM%ҿq$$]-$ӉlC$n5xI'i Di|@]UX4^ӷM厣-N[zhw4Еa{߳gϸrE/>|'s $4u ~/$/Ͽ{S*nchl &3Osoi')т$y֬k-iG'<M!_ԏߦgfT?|^JWqTPQ'7#_̌Bį_M@<̨$zG6kx'5Lh5|ۋ{-F2wv]~FOʽL;} ޹i*iJN"ef|/#kmm{lyW]&;A/z9Xvm\sz7᭜Mxz /҄ȵ{M),w$^%ī%p^ zubk@E赠 B΄p^g \ߊAY&H^'Axy7hm&Л z19GLx\_pɽoW-Ilг9o5zmYL3mv>z y "jdr7yĻ.$xiGAFX;t|]c>ي(sA}b zbzb>( A_/}bŊЗ(KA_/}b W(+A_}bՊ(kA_}׃^1  oP7Q1&|3-oQ̷U16|;PwS1.|7=QW1>|?P~P1!KX;t|ڿC頧A?, 3#&zĄOsLb9?*LMgΏ?x6ـO~B>}I qBb?f,w%~J~J4~3<zF? 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