{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 256 "" 1 14 178 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 22 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 14 179 0 60 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 156 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 111 114 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 32 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 190 0 212 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 1 14 169 1 132 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 141 1 3 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 222 255 8 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 64 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 128 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 185 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 185 0 3 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 11 1 116 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 92 0 124 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE " " -1 281 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 54 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 0 1 0 0 4 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 286 "" 0 1 0 0 136 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 111 103 119 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 0 1 243 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 289 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 291 "" 1 18 0 0 1 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 294 "" 0 1 0 128 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 295 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 32 97 114 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 143 1 3 0 0 1 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 257 1 {CSTYLE " " -1 -1 "" 0 1 44 108 110 0 0 1 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 257 "" 0 "" {TEXT 291 24 "Population Growth Model s" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 292 6 "Part 3" }{TEXT -1 29 " \n\nThis is the worksheet for " }{TEXT 293 6 "part 3" }{TEXT -1 113 " of the growth module only. The workshee ts for parts 4 and 5 of the growth module must be downloaded separatel y.\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 256 39 "Part 3.1 : Natural and C oalition Models" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 258 2 "1)" }{TEXT -1 26 " Write your answers here." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 257 2 "2)" }{TEXT -1 124 " Enter the \+ following commands to plot the world's population (in millions) versu s the number of years from the year 1000. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with(statplots):with(plots): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 99 "years:=[1000,1650,1750, 1800,1850,1900,1910,1920,1930,1940,1950,1955,1960,1965,1970,1975,1980, 1985]:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 98 "worldpop:=[200,545,728,90 6,1171,1608,1750,1834,2070,2295,2517,2780,3005,3345,3707,4086,4454,485 0]:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "worldplot:=scatterplot(years ,worldpop,color=blue,symbol=CIRCLE):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "display(worldplot);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Write your observations here ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 259 2 "3)" }{TEXT -1 104 " Enter the following commands to plot the natural logarithm of worldpop versus years measure from1000.." }} {PARA 0 "" 0 "" {TEXT -1 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with( statplots):with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 99 " years:=[1000,1650,1750,1800,1850,1900,1910,1920,1930,1940,1950,1955,19 60,1965,1970,1975,1980,1985]:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 " We now construct a list of the natural logarithm of the world populati on." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 180 "logworldpop:=evalf([ln(200),ln(545),ln(728),ln(906), ln(1171),ln(1608),ln(1750),ln(1834),ln(2070),ln(2295),ln(2517),ln(2780 ),ln(3005),ln(3345),ln(3707),ln(4086),ln(4454),ln(4850)]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Now construct and display the plot." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "logworldplt:=scatterplot(years,logworldpop,color=blue,symbol=CIR CLE,color=black):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "display(logwor ldplt);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Write your observations here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 260 30 " Part 3.2 : The Coalition Model" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with(plots):with(statplots):" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 262 2 "1)" }{TEXT -1 112 " The followin g commands will calculate the symmetric difference quotients and store them in a list called SDQ." }}{PARA 0 "" 0 "" {TEXT 265 66 "Make sure that \"worldpop\" and \"years\" have been previously defined" }{TEXT 294 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 97 "for i from 2 to 17 do slope[i]:= evalf((worldpop[i+1] -worldpop[i-1])/(years[i+1]-years[i-1])) od:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "SDQ := [seq( slope[i], i=2..17 )];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 261 2 "2 )" }{TEXT -1 89 " We now construct a list containing the natural loga rithm of the symmetric differences. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "logSDQ:=[seq( ln(SDQ[i]), i=1..16)];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 253 "When we calculate \+ symmetric differences we end up with two fewer slopes than data points . Before we can plot \"logworldplot\" versus logSDQ we have to remove \+ the first and last entry in \"logworldpop\" so that both lists contain the same number of points. " }}{PARA 0 "" 0 "" {TEXT 271 57 "Make su re that \"logworldpop\" has been previously defined." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "logworldp op2 := [seq(logworldpop[i], i=2..17 )];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 108 "Plot the natural logarithm of the symmetric differences \+ verus the natural logarithm of the world population." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "lnlnplot: =scatterplot(logworldpop2,logSDQ,color=magenta,symbol=CIRCLE):" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "display(lnlnplot);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "Write your conclusions here." }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 263 2 "3 )" }{TEXT -1 136 " Find the line of best fit for the natural logarith m of the symmetric differences versus the natural logarithm of the wor ld population." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "fit[leastsquare[[x,y]]]([logworldpop2,logSDQ]);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 264 2 "4)" }{TEXT -1 57 " Write your exp lanation and show your calculations here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 266 2 "5)" }{TEXT -1 81 " Enter your val ues for h and k and plot the slope field for the coalition model." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "with(DEtools):with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "h:=??; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "k:=??;" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "slpfield:=DEplot(diff(P(t),t)=k*P^(1+h),P(t),t=100 0..2050,P=0..5000):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "display(slpf ield);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 289 " We now create the graph of a particular solut ion to the coalition model passing through one of the given data point s. We then display this solution along with the slope field. Repeat th is with at least two more data points. Avoid using the first data poin t since it is the least reliable." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "solution1 := dsolve(\{diff(P (t),t)=k*P^(1+h),P(1900)=1608\},P(t),type=numeric): \n" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 74 "solplot1:=odeplot(solution1,[t,P(t)],1000..205 0,labels=[t,P],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "display(solplot1,slpfield);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 270 2 "6)" }{TEXT -1 78 " Display one of the plots created in 5) alon g with the world population data." }}{PARA 0 "" 0 "" {TEXT 272 1 " " } {TEXT 295 50 "Make sure \"worldplot\" has been previously defined." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "displ ay(solplot1,worldplot,slpfield);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 27 "Write your conclusion here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 267 38 "Part 3.3 : Solving the \+ Coalition Model" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 268 2 "1)" }{TEXT -1 32 " Write your justification here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 269 2 "2)" }{TEXT -1 22 " Show your work here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 273 2 "3)" } {TEXT -1 44 " Show your work and write your answer here." }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 274 2 "4 )" }{TEXT -1 30 " Write your explanation here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 275 2 "5)" } {TEXT -1 25 " Write your answer here." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 256 "" 0 "" {TEXT 290 23 "3.4 : When is Doomsday?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with(plots):with(statplots):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 277 2 "1)" }{TEXT -1 114 " The following commmands will disp lay a plot of the natural logarithm of P versus the natural logarithm of T-t." }}{PARA 0 "" 0 "" {TEXT 276 70 "Make sure that \"logworldpo p\" and \"years\" have been previously defined." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Enter your value \+ for T." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "T:=??;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 74 "The nex t comand constructs a list containg the natural logarithm of T-t. " } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "logTyears:=evalf([seq(ln(T-years[i]), i=1..18)]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 79 "Experimenting with different values of T, make this plot as linear as possible." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "\nscatterplot(logTyears ,logworldpop,color=red,symbol=CIRCLE);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Write your characterization of T here." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 279 2 "2)" } {TEXT -1 63 " Check your model function against the world population \+ data. " }{TEXT 278 50 "Make sure \"worldplot\" has been previously def ined." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "P:='P':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 " P:=t->1/(h*k*(T-t))^(1/h);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "modelplot:=plot(P(t),t=1000..2050,color=red):" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 29 "display(modelplot,worldplot);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Write your observations here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 280 2 "3 )" }{TEXT -1 92 " Experiment with different values for h and k to imp rove the fit of your model to the data," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "h:=??;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "k:=??;" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 7 "P:='P':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "P:=t->1/(h*k*(T-t))^(1/h);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "modelplot:=plot(P(t),t=1000..2050,color=red):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "display(modelplot,worldplot);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 281 2 "4)" }{TEXT -1 30 " Write your predictions here." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 282 2 "5)" }{TEXT -1 30 " Write your predictions here." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 283 3 "6) " }{TEXT -1 26 " Write your analysis here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 284 62 " Part 3.5 : Comparison of Models with Different Population Data" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 289 2 "1 )" }{TEXT -1 104 " Using the same strategy set forth earlier in the m odule, enter the new population data and recalculate" }}{PARA 0 "" 0 " " {TEXT -1 20 "the coalition model." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 288 2 "2)" }{TEXT -1 46 " Write your pro jections and comparisons here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 287 2 "3)" }{TEXT -1 30 " Writ e your comparisons here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 286 2 "4)" }{TEXT -1 25 " Write your ans wer here." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT 285 2 "5)" }{TEXT -1 29 " Write your comparison here." } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }