{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Input" 2 19 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "mmm" -1 256 "" 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 19 259 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 260 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 261 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 18 262 "" 1 14 255 0 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 1 14 255 0 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 265 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE " " 18 266 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 267 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 268 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 269 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 19 270 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 271 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 18 272 "" 1 14 255 0 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 273 "" 1 14 255 0 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 18 275 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE " " -1 276 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 19 282 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" 19 283 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 284 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 285 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 1 }{CSTYLE "" 18 286 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" 18 288 "" 0 1 0 0 0 0 0 1 0 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 0 } {CSTYLE "" -1 290 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 291 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 294 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 295 "" 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 296 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 256 "" 0 "" {TEXT 265 38 "Estimating Distance Traveled a nd Areas" }}{PARA 0 "" 0 "" {TEXT -1 7 "Name: " }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 38 "Estimating Distance from Velocity Data" }}{PARA 0 " " 0 "" {TEXT -1 297 "A car is traveling with increasing velocity and t he velocity is measured every second for 5 seconds as it accelerates f rom rest to 88 feet/second (60 miles per hour). In the table below, t is the number of seconds since the beginning of the measurement and v is the velocity in feet per second." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 79 "t | 0 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 | 4.0 | 4.5 | 5.0" }}{PARA 0 "" 0 "" {TEXT -1 67 "--------------------------------------------------------------- ----" }}{PARA 0 "" 0 "" {TEXT -1 83 "v | 0 | 30 | 42 | 54 | \+ 60 | 70 | 78 | 80 | 83 | 85 | 88 \n" }}{PARA 0 "" 0 " " {TEXT -1 32 "First, the data will be plotted." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "t:=[0,0.5,1, 1.5,2,2.5,3,3.5,4,4.5,5];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "v:=[0,30,42,54,60,70,78,80,83,85,88];" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 35 "points:=[seq([t[i],v[i]],i=1..11)];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "plot(points,thickness=2,xtickmarks= 10);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "a:=plot(points,thickness=2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "b:=polygonplot([[t[5],0],[t[6],0],[t[6],v[5]],[t [5],v[5]]],color=cyan):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " display(\{a,b\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "c:=polygonplot([[t[5],0],[t[ 6],0],[t[6],v[6]],[t[5],v[6]]],color=maroon):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "d:=plot(points,thickness=2,color=green):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "display(\{c,d\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 7 "i:='i':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "lbplot:=seq(polygonplot([[t[i],0],[t[i+1],0],[t[i+1],v[i]],[t[i], v[i]]],color=COLOR(RGB,i/5,i/10,i/15)),i=1..10):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "d:=plot(points,thickness=2,color=green):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "display(\{d,lbplot\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 7 "i:='i':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "lower_bound:=sum(v[i]*(t[i+1]-t[i]),i=1..10);" }{TEXT -1 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "The following shows the sum using \+ sigms notation." }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 282 1 "l_bound : = sum(v[i]*(t[i+1]-t[i]),i = 1 .. 10);" "6#>%(l_boundG-%$sumG6$*&&%\"v G6#%\"iG\"\"\",&&%\"tG6#,&F,F-F-F-F-&F06#F,!\"\"F-/F,;F-\"#5" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 7 "i:='i':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118 "ubplot:=seq(polygonplot([[t[i],0],[t[i+1],0],[t[i+1],v[i+1]],[t[i ],v[i+1]]],color=COLOR(RGB,i/20,i/10,i/30)),i=1..10):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "d:=plot(points,thickness=3,color=re d):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "display(\{ubplot,d\} );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "i:='i':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "upper_bound:=sum(v[i+1]*(t[i+1]-t[i]),i=1..10);" }{TEXT -1 0 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "The following shows the sum u sing sigms notation." }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 283 1 "u_bo und := sum(v[i+1]*(t[i+1]-t[i]),i = 1 .. 10);" "6#>%(u_boundG-%$sumG6$ *&&%\"vG6#,&%\"iG\"\"\"F.F.F.,&&%\"tG6#,&F-F.F.F.F.&F16#F-!\"\"F./F-;F .\"#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 155 "The total distance trav eled is therefore between 291 feet and 335 feet. Better estimates cou ld be found by measuring the velocity every 0.25 seconds, etc." }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 44 "Estimating Distance Given a Veloc ity formula" }}{PARA 0 "" 0 "" {TEXT 290 9 "Example 1" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "t:='t':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f := t -> 50*(1-exp(-0.196*t));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "plot(f(t),t=0..30,thickness=2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "lSum:=Sum(f(3*n)*3,n=0..9);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "lsum:=sum(f(3*n)*3,n=0..9);" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rSum:=Sum(f(3*n)*3,n=1..10);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rsum:=sum(f(3*n)*3,n=1..10);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "wi th(student):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "leftsum(f(t),t=0..30,10);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "rightsum(f(t),t=0..30,10);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "left box(f(t),t=0..30,10,shading=cyan);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "rightbox(f(t),t=0..30,10,shading=aquamarine);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "middlebox(f(t),t=0..30,10,co lor=blue,shading=yellow);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 291 9 "Exa mple 2" }}{PARA 0 "" 0 "" {TEXT -1 8 " " }{TEXT 292 8 "Use the \+ " }{TEXT 293 3 "sum" }{TEXT 294 140 " function to create and evaluate \+ the left-hand and right-hand sums for n=10 subintervals for the follow ing function over the given interval." }}{PARA 0 "" 0 "" {TEXT -1 12 " " }{XPPEDIT 295 1 "f(x) = x^2+1;" "6#/-%\"fG6#%\"xG,&*$F' \"\"#\"\"\"F+F+" }{TEXT -1 2 ", " }{TEXT 296 9 "2 < x < 5" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "f:=x- >x^2+1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "plot(f(x),x=0..5 ,y=0..26,thickness=2,color=blue);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "dx:=(5-2)/10;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "lSum:=Sum(f(2+n*dx)*dx,n=0..9);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "lsum:=evalf(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "check1:=evalf(leftsum(f(x),x=2..5,10));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "rSum:=Sum(f(2+n*dx)*dx,n=1..10);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "rsum:=evalf(%);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "check2:=evalf(rightsum(f(x), x=2..5,10));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 0 "" 0 "" {TEXT 260 13 "Exercise 1: " }{TEXT 257 12 "Use Maple's " }{TEXT 259 3 "sum " }{TEXT 258 71 " function to create and evaluate the left-hand and ri ght-hand sums for " }}{PARA 0 "" 0 "" {TEXT 284 30 "n = 10 subinterval s. Use the " }{TEXT 263 7 "leftsum" }{TEXT 264 4 " and" }{TEXT 266 1 " " }{TEXT 262 8 "rightsum" }{TEXT 261 33 " commands to confirm your a nswers" }{TEXT 267 2 ". " }{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 8 " " }{XPPEDIT 286 0 "f(x) = 4 -x^2;" "6#/-%\"fG6#%\"xG,&\"\"%\"\"\"*$F'\"\"#!\"\"" }{TEXT 287 12 " , 0 < x < 2" }}{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 " " {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 " " {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 "" }}}} {PARA 0 "" 0 "" {TEXT 20 0 "" }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 13 "E xercise 2: " }{TEXT 268 12 "Use Maple's " }{TEXT 270 3 "sum" }{TEXT 269 71 " function to create and evaluate the left-hand and right-hand \+ sums for " }}{PARA 3 "" 0 "" {TEXT 285 30 "n = 20 subintervals. Use t he " }{TEXT 273 7 "leftsum" }{TEXT 274 4 " and" }{TEXT 275 1 " " } {TEXT 272 8 "rightsum" }{TEXT 271 33 " commands to confirm your answer s" }{TEXT 276 2 ". " }}{PARA 0 "" 0 "" {XPPEDIT 288 0 "f(x) = exp(x); " "6#/-%\"fG6#%\"xG-%$expG6#F'" }{TEXT 289 12 " , 1 < x < 4" }}{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 "" {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 "" {MPLTEXT 1 0 0 "" }}}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 75 "E xercise 3: Find the actual definite integrals using maple (Use help me nu) " }}{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 " " {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 " " {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 "" }}}} }{MARK "8 0 0" 74 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }