{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 1 0 0 0 0 0 0 2 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 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q1" }{MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "L:=5.36*Pi*x^2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "F:=1-(1+L)*exp(-L):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "mu:=int(x*diff(F,x),x=0..infinity); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#muG$\"+'f1&RK!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "sqrt(int((x-mu)^2*diff(F,x),x=0..in finity));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+$fQf<\"!#5" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "with(plots): implicitplot(x ^2-6*x+y^2+10*y+30, x=-10..10,y=-10..10):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "L:=evalf(5.36*Pi*2^2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "add(L^i/i!,i=0..59)*exp(-L);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+YbN&p\"!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q2" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "35/60*10.8*.8*2*30;sqrt(35/60*10.8*.8*(2*30^2+2^2*30^2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"++++CI!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+]ss\\;!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "p:= .8:q:=.2: p*(p^4+5*p^4*q);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"'g` l!\"'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q3" }{MPLTEXT 1 0 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "restart: t:=11/60:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "G:=1+int(2*s*exp(-s^2),s): \+ p:=evalf(int(1-G,s=0..t)/t):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "Lx:=12.3*t*p: Ly:=12.3*t*(1-p):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "sum(Lx^i*Ly^i/i!^2,i=0..infinity)*exp(-Lx-Ly);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+N+036!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "mu:=evalf(int(s*diff(G,s),s=0..infinity)):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "V:=evalf(int((s-mu)^2*diff(G ,s),s=0..infinity)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "12. 3*mu; sqrt(12.3*mu+12.3^2*V);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+= \"f+4\"!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+NfT&e'!\"*" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q4" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 47 "lambda:=piecewise(t<4,1.2+t/10,t<6,1.6-t/10,1):" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "L:=int(lambda,t=0..s):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "F:=1-simplify(add(L^i/i!,i=0 ..6))*exp(-L):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "mu:=int(s*diff(F, s),s=0..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#muG$\"+gAaQa! \"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "sqrt(int((s-mu)^2*di ff(F,s),s=0..infinity));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,dg&R# !\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "L1:=int(lambda,t=0. .1): L2:=int(lambda,t=1..2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "L1*exp(-L1)*(1-exp(-L2))+1-add(L1^i/i!,i=0..1)*exp(-L2);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+mV)*>o!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q5" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "Px:=(1+2*z+3*z^2)/6.:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "P :=Px/(3-2*Px)^4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "mu:=eva l(diff(P,z),z=1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#muG$\"+++++7! \")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "sqrt(eval(diff(P,z,z ),z=1)+mu-mu^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+h]5/p!\"*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "aux:=mtaylor(P,z,21):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "1-eval(aux,z=1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+@(=Y9\"!#5" }}}}{MARK "36" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }