Math 210, Spring 2010 Computer Lab #5 Solutions LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw== Q #1 Standard dsolve using the numeric option QyQ+SSNkZUc2Ii8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJTYjSSJ0R0YlRi4tSSRleHBHRiU2Iy1JJHNpbkdGJTYjRisiIiI=

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1RzYiNiNJInRHRilGKy1JJGV4cEc2JEYlSShfc3lzbGliR0YpNiMtSSRzaW5HRi42I0Yn

QyQ+SSNpY0c2Ii8tSSJ1R0YlNiMiIiEiIiJGKw==

Ly1JInVHNiI2IyIiISIiIg==

Save the result for use in #3 PkknbnVtc29sRzYiLUknZHNvbHZlR0YkNiU8JEkjZGVHRiRJI2ljR0YkLUkidUdGJDYjSSJ0R0YkSShudW1lcmljRyUqcHJvdGVjdGVkRw==

f*6#I(x_rkf45G6"6+I%_resGF%I%_datGF%I&_varsGF%I*_solnprocGF%I&_xoutGF%I'_ndsolGF%I&_parsGF%I#_nGF%I#_iGF%6#IinCopyright~(c)~2000~by~Waterloo~Maple~Inc.~All~rights~reserved.GF%F%C-@$2"""9#YQBinvalid~input:~too~many~argumentsF%>I8_EnvDSNumericSaveDigitsGF%I'DigitsGF%>F;"#:@%/I-_EnvInFsolveGF%I%trueG%*protectedG>8(-&I&evalfGFB6#F:6#9$>FD-FGFI>8%X*I)anythingGFBF%F%[gl!!%!!!"%"%f*6#I%_xinGF%65F+I&_dtblGF%F(I&_vmapGF%I$_x0GF%I$_y0GF%I%_valGF%I%_digGF%F.I$_neGF%I$_ndGF%I$_nvGF%F-I%_iniGF%I%_parGF%F/I#_jGF%I#_kGF%I%_srcGF%6#IinCopyright~(c)~2002~by~Waterloo~Maple~Inc.~All~rights~reserved.GF%E\s"Q(complexF%I&falseGFBC9>8$FJ>807">FN=F%6#;F5""%E\[l"F5=F%6#;F5"#=E\[l3F56%/I)datatypeGF%&I&floatGFB6#"")/I&orderGFBI(C_orderGF%/I(storageGF%I,rectangularGF%""#Fcp""$7&""!FcqFcqX,FPF%F%[gl'!%"!!#!"!"#F\pX*FPF%F%[gl&!%!!!"C"C""!!!!"!!!!!!!!!!"[^`r!!"%!"0"""$$!"!""&X*FPF%F%[gl'!%"!!"5"500000000000000003EB0C6F7A0B5ED8D00000000000000003CF6849E7A354D2D00000000000000003F988275E27D3D3400000000000000003EB0C6F7A0B5ED8D00000000000000000000000000000000000000000000000000000000000000003FF000000000000000000000000000003FE000000000000000000000000000003FF00000000000003FF000000000000000000000000000000000000000000000""'X*FPF%F%[gl'!%"!!""""3FF0000000000000""(7)X,FPF%F%[gl'!%"!!#="%"(00000000000000003FCA0000000000003FD38000000000003FE80000000000003FEA0000000000003FDA0000000000003FEA0000000000003FB054000000000000000000000000003FD1E000000000003FD16EA800000000BFB8CC60000000003F940A00000000003FE13898000000003FA05400000000000000000000000000BFD6000000000000BFD57480000000003FCD6400000000003FDAB800000000004026F620000000003FB8DBE30000000000000000000000003FD9D300000000003F94C8DC00000000BF78CC6000000000BFA86C30000000003FE8EA2C80000000X,FPF%F%[gl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gl'!%"!!"'"'00000000000000003FD8B4395810624E3FCAE147AE147AE13FE428F5C28F5C293FF00000000000003FF0000000000000X*FPF%F%[gl'!%"!!"'"'3FD0000000000000BFBAB367A0F9096C3FBA7EF9DB22D0E5BFA288CE703AFB7F00000000000000000000000000000000X,FPF%F%[gl'!%"!!#?"'"&000000000000000000000000000000000000000000000000000000000000000000000000000000003FF8B4395810624E00000000000000000000000000000000000000000000000000000000000000003FEE4B30C4BDF12A3FD05D687090C3ED000000000000000000000000000000000000000000000000400A84C31153547640072B43116E15673FEFF4DFE3212149000000000000000000000000000000003FF38A22B603354040181397FD4D6D62402912FC960D51E5BFE60329938E658900000000000000003FF38A22B603354040181397FD4D6D62402912FC960D51E5BFE60329938E65893FF0000000000000X,FPF%F%[gl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gl'!%"!!#0"$"&00000000000000000000000000000000000000000000000000000000000000000000000000000000402440A1E286064EC01DF3B530FBA163C0416684804E49D1C01FF89925819B673FF066F6D037359CBFE5A416AA846D56401859D1DEA15BCC40306E4BBD9408F54038C468DD7616B2C01A60A78B0034D9Fip7%X*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""40028EE726E162F2""*7/X*FPF%F%[gl'!%"!!""""3FB999999999999AX*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""0000000000000000X,FPF%F%[gl'!%"!!#"""""0000000000000000X,FPF%F%[gl'!%"!!#"""""0000000000000000X,FPF%F%[gl'!%"!!#'"""'000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000X*FPF%F%[gl&!%!!!""""!X*FPF%F%[gl'!%"!!""""3FF0000000000000X*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""0000000000000000X*FPF%F%[gl'!%"!!""""0000000000000000"#57(f*6&I"NGF%I"XGF%I"YGF%I#YPGF%F%6#I.[Y[1]~=~u(t)]GF%F%C$>&9'6#F5-I$expG6$FBI(_syslibGF%6#-I$sinGFgt6#&9&FdtFcqF%F%F%!""FcqFcqFcqFcq"#6X,FPF%F%[gl'!%"!!#-"'!"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"#7F%"#8F%"#97$FcqFcqF=Q&rkf45F%"#<Fgs"#;7'FcqFcqFcqFcqFgoFapFgo>8)X*FPF%F%[gl!!%!!!"#!"$FcqFcq$F5Fcq>8'=F%6#;F5F5E\[l"F5F5>FD&&&FNFdt6#FfqFiv>8,&&Fhv6#F\pFdt>8-&F]w6#Faq>8.&F]wF^w>8/&F]w6#Fhu@$4-I%typeGFB6$Fdo.I(numericGFB@O-I'memberGFB6$Fdo7%Q&startF%Q%leftF%Q&rightF%C$@$5/I:_Env_smart_dsolve_numericGF%FA/&F]w6#FfsF5@&/FdoFgx@$-F]x6$&FN6#F`q.I&tableGFBO&&FfyFivFdt/FdoFhx@$-F]x6$&FNFbwFhyO&&FazFivFdtOFfv/FdoQ'methodF%O&Fhv6#F=/FdoQ(storageF%O-I&evalbGFB6#F^y/FdoQ)leftdataF%@%4-F]x6$Ffy.I&arrayGFBOI%NULLGFBO-I%evalGFB6#Ffy/FdoQ*rightdataF%@%4-F]x6$FazFg[lFi[lO-F]\l6#Faz/FdoQ+enginedataF%O-F]\l6#Fhv/FdoQ,engineresetF%C%>Ffy-I&evalnGFBF^\l>Faz-Fb]lFg\lFi[l/FdoQ(initialF%O-9!6#&F[v6#Fcq/FdoQ'laxtolF%O&&&FN6#-I#ifGFB6%-Fcx6$&FNF^w<$F`qFaqFi^lF5Fiv6#Fap/FdoQ'numfunF%O-Fe^l6%Fg^l&&&FN6#Fi^lF^wF[_lFcq/FdoQ+parametersF%O7#-I$seqGFB6$&F[v6#,&F[wF583F5/F_`l;F5-I%nopsGFB6#Ffo/FdoQ7initial_and_parametersF%O6$Fh]lFh_l/FdoQ%lastF%@%530Fi^lF`q0Fi^lFaq/,&FDF5&&Fc_lFivFdtF_uF]vYQSno~information~is~available~on~last~computed~pointF%>FdoFbal/FdoQ)functionF%@%/,&&F]w6#"#LF5$!"#FcqF5FcqO-F]\l6$&FhvF`yF5O-F]\l6$&FdblFdtF5/FdoQ$mapF%O-I%copyGFgt6#F`v33-F]x6$FJI"=GFB-F]x6$-I$rhsGFBFI.I%listGFB-Fcx6$-I$lhsGFBFI<%Ff]lFf_lFf`lC*>6$81826$FgoFgo@+/F\dlFf]l>FbdlFfcl/F\dlFf_l>FcdlFfcl0-I'selectGFB6%F]xFfclFcclFgo>6$FcdlFbdl-I-selectremoveGFBF]el2-Fc`l6#Ffcl,&Fb`lF5F5F5YQhninsufficient~data~for~specification~of~initial~and~parametersF%C$>Fcdl&Ffcl6#;,$Fb`lF_uF_u>Fbdl&Ffcl6#;F5,&Fb`lF_uF_uF5>Fdo-F]dl6#Fdo@$0FcdlFgo-IBdsolve/numeric/process_parametersGF%6&F[wFfoFcdlF[v@$0FbdlFgo-I?dsolve/numeric/process_initialGF%6',&F[wF5F`wF_uFbdlF[vFfoF`v-I?dsolve/numeric/SC/reinitializeGF%6'FNF[vF[wFi]lFfo@$33F\y-F]x6$F[^lF_x0F_yF5C$>-Fi]l6#FhxF[^l>-Fi]l6#FgxF[^l@'Fe]lO7$F[^l-Fj_l6$&F[v6#&F`v6#F_`l/F_`l;F5F`glFe_lFg_lO6$FchlFh_l/FJQ*eventstopF%C&@$/FgwFcqYQ<this~solution~has~no~eventsF%>F_`lFi^l@$30F_`lF`q0F_`lFaqOFcq@'333/&&&FNFihlF^wF`yF5-I)assignedGFB6#&FN6#,&FfqF5F_`lF_u2&Fajl6#FgrFfs1Ffs&&FfjlF^wF[[mC&>F_`lFhjl>Fi^lF_`l>84-I&roundGF%6#&Fajl6#FguO-Fe[m6#&&&FbjlFbwFdt6$Fc[mF51FfsFjjlC$Fb[mFi[mFjil/FJQ,eventstatusF%C%Fail>F_`l7#-Fael6$f*6#I"aGF%F%6$I)operatorGF%I&arrowGF%F%/&&&&T#FdtFbwFdt6$FJFjqF5F%F%6$FUFN<#-Fj_l6$Fc[m/Fc[m;F5-Fe[m6#&&&FhvFbwFdt6$,&FgwF5F5F5F5O6$/._F%I(enabledGF%&F_`lFdt/._F%I)disabledGF%&F_`lFgy/FJQ+eventclearF%C(FailFeil@$FgilYQ3no~events~to~clearF%@$3F]jl2FfsF][mC$>Fi^lFhjlF`[m@%FijlFc_mC)>Fc[m,&FjjlF5!#5F5@$/-I%iremGFB6$-Fe[m6#&F]\m6$Fc[mF\pF`qF5YQGretriggerable~events~cannot~be~clearedF%>Fc[mFj[m?(85F5F5FgwFA@$/&F]\m6$F\amF5Fc[mC$@$/&F]\m6$F\amF`qFaqYQ?range~events~cannot~be~clearedF%>&F]\m6$F\amFip&F]\m6$Fb^mFip>Fg[mFcq>FjjlFcq@$F^y@%/F_`lF`qZ%-Fi]l6#F_hlF%F%Z%-Fi]l6#F\hlF%F%OF%3Facl-Fcx6$F\dl<$Q-eventdisableF%Q,eventenableF%C*Fail@'-F]x6$Ffcl<$-Fhcl6#.I'posintGFB-.I$setGFBFecm>F_`l<#-I#opGFBFdel-F]x6$FfclFfcm>F_`l<#FfclY6$QVevent~identifiers~must~be~integers~in~the~range~1..%1F%F\^m@$0-F\el6$f*Fj\mF%F\]mF%2Fd]mFJF%F%6$FgnFgwF_`l<"Fcdm>F\amF]em?(Fc[mF5F5FgwFA@$-Fcx6$-Fe[m6#&F_^mF_\mF_`l>F\am-I&unionGFB6$F\am<#Fc[m>F_`lF\am@%/F\dlF]cmC'>Fi^lFcq>Fc[m7$-F_[l6#3-FdjlF^\l-Fcx6$&&FfyF^wFh[mF_`l-F_[l6#3-FdjlFg\l-Fcx6$&&FazF^wFh[mF_`l?&F\amF_`lFAC%>&F_^m6$F\amFjqFcq@$Fefm>&&&FfyFbwFdtFfgmFcq@$F]gm>&&&FazFbwFdtFfgmFcq@$&Fc[mFdtC&?(F\amF5F5Fb^mFA@'31F\amFgw4-F]x6$&&F[hmF^wF`am.I*undefinedGFBC$-I)userinfoGFB6(Faq<$.I'eventsGF%.I+eventresetGF%I7reinit~#2,~event~code~GF%F\amI2~to~defined~init~GF%F[im>&FjgmFjamF[im3/&FjgmFeamFcq/-Fb`m6$-I%iquoGFB6$-Fe[m6#&Fjgm6$F\amF\pF`qF`qFcqC$-Faim6(FaqFcimFhimF\amI2~to~initial~init~GF%FD>F[jmFDC$-Faim6(FaqFcimFhimF\amI6~to~fireinitial~init~GF%,&FDF5F_uF5>F[jmFb[n>FhfmFcq>&FifmF[[mFcq@$F^yFcbm@$&Fc[mFgyC&?(F\amF5F5Fb^mFA@'3Fghm4-F]x6$&&F`hmF^wFeamF]imC$-Faim6(FaqFcimI7reinit~#3,~event~code~GF%F\amFiimFa\n>&F_hmFjamFa\n3/&F_hmFeamFcq/-Fb`m6$-Fcjm6$-Fe[m6#&F_hmFhjmF`qF`qFcqC$-Faim6(FaqFcimFf\nF\amF\[nFD>Fh\nFDC$-Faim6(FaqFcimFf\nF\amFa[n,&FDF5F5F5>Fh\nF[^n>F`gmFcq>&FagmF[[mFcq@$F^yFfbmC'?&F\amF_`lFA>FegmF5F`]lFc]lF_fm@$F^yC$@$1FDF\hlFebm@$1F_hlFDFbbmFhbm3Facl/F\dlQ+eventfiredF%C*@$4FdclYQI'eventfired'~must~be~specified~as~a~listF%Fail@$F]alYQhn'direction'~must~be~set~prior~to~calling/setting~'eventfired'F%Feil>8*Fj[l@$4-Fdjl6#I9_EnvEventRetriggerWarnedGF%>F[`nFao?&F\amFfclFAC*@'-F]x6$F\am.I(integerGFB>86F\am3-F]x6$F\am/Fb`n.FP-F]x6$-FG6#-Fgcl6#F\amF_xC$>F\am/-F]dlF`an-&FG6#-I$maxGFB6$F;FapF^an>Fe`nFdanY6$QD'eventfired'~entry~is~not~valid:~%1F%F\am@$52Fe`nF52F\^mFe`nFcdm>Fe`n<#-Fj_l6$-Fe^l6%/,&FeemF5Fe`nF_uF]vFc[mFj[l/Fc[m;F5Fgw@$0-Fc`l6#Fe`nF5YQ`p'eventfired'~can~only~be~set/queried~for~root-finding~events~and~time/interval~eventsF%>Fe`n&Fe`nFdt@&30&F_^m6$Fe`nF`qF]v0,&FhcnF5F_blF5F]vFacn/-Fb`m6$-Fe[m6#&F_^m6$Fe`nF\pF`qF5C$@$/F[`nFao-I(WARNINGGF%6#IT'eventfired'~has~no~effect~on~events~that~retriggerGF%>F[`nFA@%55-F]x6$&&F^\mF^w6$Fe`n,&F_`lF5F_uF5F]im3Fabm2&Fjgm6$Fe`nFip&F\im6$Fe`nF53/F_`lFaq2&Fb\nFicn&F_hmFgen>Ff_n6$Ff_n&F]\mFgen>Ff_n6$Ff_nF`en@$-F]x6$F\amFcclC%-Faim6(FaqFcimI7manual~set~event~code~GF%Fe`nI+~to~value~GF%F_an>FafnF_an>F`enF_anO7#Ff_n3Facl/F\dlQ*directionF%C)@$4-Fcx6$Ffcl<&F_uF5._F%I%leftGF%._F%I&rightGF%YQip'direction'~must~be~specified~as~either~'1'~or~'right'~(positive)~or~'-1'~or~'left'~(negative)F%>Fe`n-Fe^l6%/Fi^lF`qF_u-Fe^l6%/Fi^lFaqF5F^im>F_`l-Fe^l6%-Fcx6$Ffcl<$F5F\hnFaqF`qFa[m>Fbjl-I;dsolve/numeric/SC/IVPdcopyGF%6$Fhv-Fe^l6%-Fdjl6#FbjlFbjlFj[l@$2FcqFgw?(Fc[mF5F5Fb^mFA@'31Fc[mFgw4-F]x6$&Faen6$Fc[mFcenF]imC$-Faim6(FaqFcimI7reinit~#4,~event~code~GF%Fc[mFiimF_jn>&F]\m6$Fc[mFipF_jn3/&F]\m6$Fc[mF`qFcq/-Fb`m6$-FcjmFc`mF`qFcqC$-Faim6(FaqFcimFdjnFc[mF\[nFD>FfjnFDC$-Faim6(FaqFcimFdjnFc[mFa[n,(FDF5F_`lF`bl$"#]F_uF5>FfjnFg[oOFe`nOQ)procnameF%@$/FdoFDO7$FD-Fj_l6$-FG6#&&Fhv6#FhqFghlFjhl>F_`l-Fe^l6%1FDFdoFaqF`q@$33/FJFj`l2FcqFjjlFijlC%>8&-F]\l6$FbjlF`q>Fc[m&&Fd]oF^w6#"#?O7%&&Fd]o6#F`u6$Fc[mFcq-Fj_l6$&F_^o6$Fc[mFhhl/F_`l;F5,(F[wF5F`wF_uFdwF_u-Fj_l6$&&&Fd]oFhpFdtFghl/F_`l;,*F[wF5F`wF_uFdwF_uF5F5F`gl@$4-F]x6$FbjlFg[lC$F^in@$Fgin?(Fc[mF5F5Fb^mFA@'FjinC$-Faim6(FaqFcimI7reinit~#5,~event~code~GF%Fc[mFiimF_jnFejnFhjnC$-Faim6(FaqFcimF\`oFc[mF\[nFDFc[oC$-Faim6(FaqFcimF\`oFc[mFa[nFg[oFj[o@$0FJFj`lC$@$2FcqFcq@$-I<dsolve/numeric/checkglobalsGF%6&-F^dm6#&Fhv6#FduFfoF[wF[v-Fbgl6(FNF[vF[wFi]lFfoF_`l@$/&F]w6#FjqFcqYQinparameters~must~be~initialized~before~solution~can~be~computedF%Fc]oFa[mZ%>Fe`n-I9dsolve/numeric/SC/IVPrunGF%6$Fd]oFdoF%C$-Faim6%F`qI-dsolve/debugGF%-I&printGFB6$I7Exception~in~solnproc:GF%&7#I.lastexceptionGF%6#;F`qF_uYF%@%3/Fe`nFcq2Ffs&Fi]oF[[m>Ff_n&&&Fd]oFbwFdtF\bm>Ff_n&F_^o6$Fh]oFcq@%50Fe`nFcq1F_coFcq>&FgvFdtFdo>F\doFf_n@&3F[fn2Ff_nFdoC$>I)RoundingGF%,$I)infinityGFBF_u@//F_coF5Y6$Qcocannot~evaluate~the~solution~further~right~of~%1,~probably~a~singularityF%-&FGFhp6#Ff_n/F_coF`qY6$Qcqcannot~evaluate~the~solution~further~right~of~%1,~maxfun~limit~exceeded~(see~?dsolve,maxfun~for~details)F%F[eo/F_coFaq@%/&Fi]o6#"#DFaqYQfqcannot~evaluate~the~solution~past~the~initial~point,~problem~may~be~initially~singular~or~improperly~set~upF%YQ_rcannot~evaluate~the~solution~past~the~initial~point,~problem~may~be~complex,~initially~singular~or~improperly~set~upF%/F_coF\pY6$Qfqcannot~evaluate~the~solution~further~right~of~%1,~accuracy~goal~cannot~be~achieved~with~specified~'minstep'F%F[eo/F_coFfqY6$Q\rcannot~evaluate~the~solution~further~right~of~%1,~too~many~step~failures,~tolerances~may~be~too~loose~for~problemF%F[eoF^coC%@$0I7_Env_dsolve_nowarnstopGF%FA-I7dsolve/numeric/warningGF%6#-_I,StringToolsGFgtI.FormatMessageGF%6%Qgocannot~evaluate~the~solution~further~right~of~%1,~event~#%2~triggered~a~haltF%F[eo-Fe[m6#&Fbco6$,&F_coF5F^`mF5F5>Fcdo.I(nearestGF%>FdoFf_nY6$QQcannot~evaluate~the~solution~further~right~of~%1F%F[eo3Fabm2FdoFf_nC$>FcdoFedo@/FgdoY6$Qbocannot~evaluate~the~solution~further~left~of~%1,~probably~a~singularityF%F[eoF^eoY6$Qbqcannot~evaluate~the~solution~further~left~of~%1,~maxfun~limit~exceeded~(see~?dsolve,maxfun~for~details)F%F[eoFbeoFceoF\foY6$Qeqcannot~evaluate~the~solution~further~left~of~%1,~accuracy~goal~cannot~be~achieved~with~specified~'minstep'F%F[eoF`foY6$Q[rcannot~evaluate~the~solution~further~left~of~%1,~too~many~step~failures,~tolerances~may~be~too~loose~for~problemF%F[eoF^coC%@$Fffo-Fifo6#-F\go6%Qfocannot~evaluate~the~solution~further~left~of~%1,~event~#%2~triggered~a~haltF%F[eoFagoFfgoFigoY6$QPcannot~evaluate~the~solution~further~left~of~%1F%F[eo@%F?C*>8+&Fi]o6#"#E>F\joF:>I6_Env_dsolve_SC_nativeGF%FA@%/FeeoF5C$>F_`lF5>FeeoF`q>F_`lFeeo>Ff_n-I9dsolve/numeric/SC/IVPvalGF%6%Fd]oFdoFe`n>FeeoF_`l>F\joF[jo7$Fdo-Fj_l6$&Ff_nFghlFjhlC%>F;F\jo>Ff_n-Fjjo6%-F]\l6$Fd]oF`qFdoFe`nF^[pF%F%F%X*FPF%F%[gl!!%!!!""!!"+)[$zIV7$I"tGF%-I"uGF%6#F\\pFgo>Fd]oFaz>Ff_n-I$mapGFB6$FgclFi^l>F[jo,&-Fc`l6#Fd]oF5F_uF5>F`vFhv@$4-F]x6$FDF_xC$@.-Fcx6$FJ78Ffx.I&startGF%Fgz.I'methodGF%Fgx.F[hnFhx.F^hnFb[lF`\lFi\lF_il.I*eventstopGF%F`_m.I+eventclearGF%Fc\m.I,eventstatusGF%F^^l.I'laxtolGF%F]_l.I'numfunGF%Fj[lC$>Fdo-F`v6#-I(convertGFB6$FJ.I'stringGFB@(2F5-Fc`l6#7#FdoOFdo-F]x6$FdoFg[lO-F]\l6$FdoF50FdoF]\oFa_p-Fcx6$FJ7+Fj`l.I%lastGF%Ff]l.I(initialGF%Ff_l.I+parametersGF%Ff`l.I7initial_and_parametersGF%Fj[lC%>FDFg^p>Fdo-F`v6#FD@'/FDFf_lO7#-Fj_l6$/&Ff_n6#F[w&FdoF`ap/F[w;F5-Fc`lF]eo/FDFf`lO7$-Fj_l6$/&Fd]o6#,&F[wF5F5F5&&F`_pFdtF\bp/F[w;FcqF[jo-Fj_l6$/F_ap&&F`_pFgyF`apFbapO7#-Fj_l6$/F[bp&FdoF\bpF`bp3-F]x6$FDFccl-Fcx6$-F]dlFg`p7)Ff]lF]`pFf_lF_`pFf`lFa`pFj[lC%>FD/-Fh^p6$F\dlFj^pFfcl@%-F]x6$-FgclFg`pFhclFe`pYQfninitial~and/or~parameter~values~must~be~specified~in~a~listF%@'/FbcpFf]lFgbp/FbcpFf_lFj`pFfap3F^cp-Fcx6$Fbcp7+F]cm.I-eventdisableGF%F^cm.I,eventenableGF%F\_n.I+eventfiredGF%Fbgn.I*directionGF%Fj[lO-F`v6#Ffcp/FDQ.solnprocedureF%O-F]\lF^cl/FDQ(sysvarsF%OFd]o@%0Fi]lI(unknownGF%O-.Fi]lFIC%F[v>F[v-I(pointtoGFB6#&FfyF\^lO-.F[vFIZ%C$Fe`pFhbpF%FjboF%F%F%

QyQtSSdudW1zb2xHNiI2IyIiIyIiIg==

NyQvSSJ0RzYiJCIiIyIiIS8tSSJ1R0YlNiNGJF00MDBFNTczRUYzNEYxMUQ4

Q #2 Recall that this derivative is f times df/du so all we need to do is evaluate this product at u(0) = 1 QyQ+SSJmRzYiZio2I0kidUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMtSSRzaW5HRi42IzkkRiVGJUYlIiIi

Zio2I0kidUc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMtSSRzaW5HRis2IzkkRiVGJUYl

QyQ+SSNkZkc2Ii1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2I0kiZkdGJSIiIg==

Zio2I0kidUc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiYtSSRjb3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzkkIiIiLUkkZXhwR0YsNiMtSSRzaW5HRixGL0YxRiVGJUYl

QyQ+SSdkMnVkdDJHNiIqJi1JImZHRiU2I0kidUdGJSIiIi1JI2RmR0YlRilGK0Yr

KiYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2Iy1JJHNpbkdGJTYjSSJ1R0YoIiIjLUkkY29zR0YlRiwiIiI=

QyQ+SSN1Mkc2Ii1JJWV2YWxHJSpwcm90ZWN0ZWRHNiRJJ2QydWR0MkdGJS9JInVHRiUiIiJGLQ==

KiYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2Iy1JJHNpbkdGJTYjIiIiIiIjLUkkY29zR0YlRixGLQ==

Q#3 We have the second derivative above and the first derivative is just f(u) QyQ+SSN1MUc2Ii1JImZHRiU2IyIiIkYp

LUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMtSSRzaW5HRiQ2IyIiIg==

So construct the T1 polynomial with u(0) = 1 and the first and second derivatives u1 and u2 calculated above QyQ+SSNUMUc2ImYqNiNJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwoIiIiRi0qJkkjdTFHRiVGLTkkRi1GLSomSSN1MkdGJUYtRjAiIiMjRi1GM0YlRiVGJUYt

Zio2I0kidEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgiIiJGKiomSSN1MUdGJUYqOSRGKkYqKiZJI3UyR0YlRipGLSIiIyNGKkYwRiVGJUYl

QyQ+SSVwbHQxRzYiLUklcGxvdEdGJTYlLUkjVDFHRiU2I0kidEdGJS9GLDsiIiEiIiQvSSdjb2xvdXJHRiVJJHJlZEdGJSIiIg==

-%%PLOTG6&-I'CURVESG6"6#7dw7$$""!F,$"""F,7$$"0pPv]"Gx:!#;$"0U!=&3^p."!#97$$"0%yc8dm\HF2$"0\a&G0pp5F57$$"0;KkGbI\%F2$"0">)Rojr5"F57$$"0=OsWvm/'F2$"0H%4MZeX6F57$$"018E_6Hf(F2$"0V<#*)*>X="F57$$"0T#['Hqk-*F2$"0Mm$o*Q7A"F57$$"0$f=PP3^5!#:$"0]Nq,*))f7F57$$"0JiC>(f/7FR$"0*4:I[`+8F57$$"0qS"G$=wN"FR$"0%fZ1AtT8F57$$"0Pu[P>]^"FR$"0a;45>[Q"F57$$"0c7DIeOl"FR$"0<#zJnOB9F57$$"0Y#\)*Gt4=FR$"0A![M4Vn9F57$$"0ze<N[k'>FR$"0#>$))p)Q7:F57$$"0C['HFZ<@FR$"0uY!)\*Qc:F57$$"0$e;LthaAFR$"0_&f&)4#pf"F57$$"0He;`&p<CFR$"0ZkJhGek"F57$$"0#RycT%eb#FR$"0]\nwkyo"F57$$"0u[(\Qa;FFR$"0=zG)4YP<F57$$"0pPvI!zeGFR$"0hdj^))>y"F57$$"0"He;s&[,$FR$"0orF6>:$=F57$$"0,.1#)pM;$FR$"0RNX@U$z=F57$$"017C[J&=LFR$"0"eZk^#*H>F57$$"0#['H\E4Y$FR$"0]q;(=*p(>F57$$"0sV([(=Xh$FR$"0UWFe?%G?F57$$"0!4=Oz0uPFR$"0aC<#oc#3#F57$$"0?RyEPH"RFR$"0kh'*y..8#F57$$"0x`2vIH1%FR$"0_MD$4\#=#F57$$"0Rxap))y@%FR$"0E,rL#4PAF57$$"0LlI"[[pVFR$"0*oYmZ="H#F57$$"0ze<&=;;XFR$"0%*R-+eTM#F57$$"0Rxap@!zYFR$"0]yCh3PS#F57$$"0rU&3&e`#[FR$"0[FnFvyX#F57$$"0Hd9H/;)\FR$"0s#fgqR;DF57$$"0MnM>'=B^FR$"0W_6^R+d#F57$$"0BX!4E(zF&FR$"0%*eKy^$HEF57$$"0e;Lc9OU&FR$"0#>(36'z&o#F57$$"0w^.P_ed&FR$"0apg'fXXFF57$$"0LmKl#pCdFR$"0"\.ceV/GF57$$"0Rycj90)eFR$"0\S)*[so'GF57$$"07BYs*eIgFR$"01(H%ytw#HF57$$"0Z%*)yJ1%='FR$"0lhx:H0*HF57$$"0RxazliL'FR$"0],YUSN0$F57$$"0#['H>ChZ'FR$"0/*oj].7JF57$$"0\(\*p<kj'FR$"0sX0(fxzJF57$$"028E7'yznFR$"0!p$o:(*4C$F57$$"0h@VwYE$pFR$"06J&3+$pI$F57$$"02:I!R&*yqFR$"0p.j[s1P$F57$$"0X*)y<49C(FR$"0`"=M&z@W$F57$$"0BX!4N3#Q(FR$"0-gJJ>Z]$F57$$"0$e;L,vTvFR$"0fBWn*RwNF57$$"0>Qw#*oso(FR$"0C<(pTPUOF57$$"0*zf>OWYyFR$"0Lhg(\C:PF57$$"0['HfWy$)zFR$"0#\t">7(yPF57$$"06@Uk*>S")FR$"0!GEC>m^QF57$$"0xa4**)G"H)FR$"01=6?.G#RF57$$"0PtYjzAW)FR$"0j%>"4hX*RF57$$"0Gb5"[r#f)FR$"0%\)\@9n1%F57$$"0]+,#fBP()FR$"0S<")[]m8%F57$$"0mJj1nM*))FR$"0*y1Ql$H@%F57$$"0U%)onmB/*FR$"0QyT=.jG%F57$$"0kFb]w!*>*FR$"0'prpV@kVF57$$"0$f=Pm$4M*FR$"0(f'f]e`V%F57$$"0)f>R'=x\*FR$"0W%R!ymY^%F57$$"0U%)oZ))yk*FR$"0JLnS+8f%F57$$"0#\)pz#p(z*FR$"06'z'z+%oYF57$$"0v\**)R;a**FR$"0f*>`"H'\ZF57$$"0V&3nz#)45F5$"0mVE?t]#[F57$$"0g?TQ(eC5F5$"0"[.]T'H!\F57$$"0OrU`$)3/"F5$"0%f,]2q*)\F57$$"04<MOQc0"F5$"0h7'*o**)o]F57$$"0v\*Rzsq5F5$"0LDa8]0:&F57$$"0-.1ltg3"F5$"0blg_lUB&F57$$"0Pu[Mz,5"F5$"0*R!)3-#=J&F57$$"0&4>eb@:6F5$"0">/8!G^R&F57$$"0Pu[JP,8"F5$"0Gk/b^%yaF57$$"0T"Gc*)4Y6F5$"0%[ww%)HobF57$$"0$oO8W=g6F5$"0sepx*>[cF57$$"0<Mo5Ok<"F5$"04y([g5TdF57$$"0=Os+-6>"F5$"07[4*fgDeF57$$"0[&4\Jh07F5$"0@)y'yH)4fF57$$"0rT$)G<7A"F5$"0JP+f!3,gF57$$"0uZ&\X)oB"F5$"0s#R$y7M4'F57$$"0>PuVR6D"F5$"00S&*\T!yhF57$$"0)e<&\xiE"F5$"0L$=+.coiF57$$"0+++w]5G"F5$"0qv7@SvN'F57$$"0iC\8lqH"F5$"0S,K:7ZX'F57$$"0a3<-A4J"F5$"0;aHl%RRlF57$$"0v\*fr$oK"F5$"0)Q/AWMPmF57$$"0"HeE#)zT8F5$"0%)[d"R4InF57$$"09Gcy9mN"F5$"0_o='*)eAoF57$$"0yc88V9P"F5$"0)Q-\mz:pF57$$"0)oP0rc'Q"F5$"0Rg.:@:,(F57$$"0OsWE)f-9F5$"0,(o8Or8rF57$$"0pPvE(H<9F5$"06tFxq!3sF57$$"0.0522=V"F5$"0a!)z`H=I(F57$$"0b5@"yJZ9F5$"0?&=bIt-uF57$$"0W)o(y%zi9F5$"0p(RUT6/vF57$$"0"=O#H'ow9F5$"0*zY"z-df(F57$$"0/29yTJ\"F5$"0H'yK@#\q(F57$$"0zd:(4"p]"F5$"0rsA$o"pz(F57$$"0:Ige:I_"F5$"0e>(*Q9_!zF57$$"0,-/)eQQ:F5$"0%[[DsF4!)F57$$"0JiCs4@b"F5$"0YgLTtF5)F57$$"0&4>=Oan:F5$"0UHB)Qd3#)F57$$"0**)z>)zIe"F5$"0OqP;vdJ)F57$$"0w_0=U&)f"F5$"0t)y\P;B%)F57$$"0Y"Hox(Gh"F5$"0z8$HxMB&)F57$$"0BX!R9sF;F5$"0<O)4@rF')F57$$"0'Gd%ysIk"F5$"0ff*y(>jt)F57$$"0qS")*[Pe;F5$"0Len0h_%))F57$$"029G+:Tn"F5$"0n[1)3.e*)F57$$"0*yd&*)yzo"F5$"0&Grt_&z0*F57$$"0)e<bje.<F5$"0iyN<:6<*F57$$"0^-0!zD><F5$"0Az'[BX&G*F57$$"0Y"HQ.OM<F5$"0!G%e18jR*F57$$"0AV')zu![<F5$"0m$=k(fv\*F57$$"0Y#\=EQk<F5$"0K&))\Om='*F57$$"0-05[(>y<F5$"0^2T]f=s*F57$$"0^,.XnUz"F5$"0x;:**)fU)*F57$$"0S!3'4#\3=F5$"0/T[P+,&**F57$$"0#\)py)4C=F5$"0VNlKso+"!#87$$"0$pQZ+'*Q=F5$"0Y+q&QB=5Fiam7$$"0%yc8iYa=F5$"0?g"yo:I5Fiam7$$"07BYr0(o=F5$"0ON/^n6/"Fiam7$$"0,,-%\1%)=F5$"0>;d05J0"Fiam7$$"0sW*e)=+!>F5$"0zm+j(el5Fiam7$$"0b5@z1R">F5$"0H#*fk4l2"Fiam7$$"0,-/91*G>F5$"0i!Q8(o$)3"Fiam7$$"0Pu[$>SW>F5$"0q\$))*)o+6Fiam7$$"0<Lmah&f>F5$"0QPX`4G6"Fiam7$$"0^-0DHU(>F5$"0$*)*))Q+Y7"Fiam7$$"0Pu[B:0*>F5$"01k"4awP6Fiam7$$"0!4=;*[^+#F5$"0VjWag'\6Fiam7$$"0OsW\t2-#F5$"0&\<r)HC;"Fiam7$$"0PtYoJ\.#F5$"0v.23iS<"Fiam7$$"0;JiK5/0#F5$"0dp'[e%o="Fiam7$$"0He;_u\1#F5$"0]]#))z$*)>"Fiam7$$"0"=O-$)>!3#F5$"0/>_oV;@"Fiam7$$"0F`1L#3&4#F5$"0'Q1u48C7Fiam7$$"0Z%*)GXm5@F5$"00@P-tsB"Fiam7$$"0%*)yP?nD@F5$"0vV!>r**\7Fiam7$$"03;KQ>59#F5$"0u362xIE"Fiam7$$"0Pu[kRi:#F5$"0(pK^j6w7Fiam7$$"07BY[D-<#F5$"08O&yu:)G"Fiam7$$"0Qw_$[D'=#F5$"0#H49z--8Fiam7$$"0%zex;f+AF5$"0!4<)3(\98Fiam7$$"0ze<uxe@#F5$"08o#ew&yK"Fiam7$$"09GcX30B#F5$"0S27142M"Fiam7$$"0e:J)RvYAF5$"0w"R9=0b8Fiam7$$"0;JiT@3E#F5$"0'QuxN`n8Fiam7$$"0AV'y!)ywAF5$"05lg?q<Q"Fiam7$$"0X!4e*R8H#F5$"0^8+"*4[R"Fiam7$$"0V'GFuD2BF5$"0gTX!Q949Fiam7$$"0Gc7^"*4K#F5$"0<\Ztq:U"Fiam7$$"0u[(HIjOBF5$"0(Q"fN!zN9Fiam7$$"06AW'>u^BF5$"0ME;N$f\9Fiam7$$"0(RzG5%oO#F5$"0G&)*QOXj9Fiam7$$"0;Kka%)=Q#F5$"0<_'e)GtZ"Fiam7$$"0oOtlOjR#F5$"0n3>d?2\"Fiam7$$"0!)f>xf>T#F5$"0"*[snl_]"Fiam7$$"03:It\oU#F5$"0!))>oU>>:Fiam7$$"0Szer?DW#F5$"0<?)yI#R`"Fiam7$$"0BX!HnqcCF5$"062Wx<ta"Fiam7$$"0BY#H\QsCF5$"0d+"*[*=i:Fiam7$$"03:I">S([#F5$"0%yA75]w:Fiam7$$"08D]M#Q-DF5$"0z=*HI%3f"Fiam7$$"0h@VYH!=DF5$"0()**H*H*eg"Fiam7$$"017C.TC`#F5$"0(4?Nv")>;Fiam7$$"0CZ%\/?ZDF5$"0s3KwSTj"Fiam7$$"0*zf*f'\jDF5$"0TMF))G+l"Fiam7$$"0sV(G9DyDF5$"0ug)y3[k;Fiam7$$"0Qw_+TLf#F5$"0JP9AE$z;Fiam7$$"0lHfr'o3EF5$"0/!\^9\%p"Fiam7$$"0,,-T#zAEF5$"0.$zV;\3<Fiam7$$"0f<NiGyj#F5$"0a7y4zMs"Fiam7$$"0,,-Q]Fl#F5$"0Q=TX<%Q<Fiam7$$"0/3;-7(oEF5$"0*p4;&oWv"Fiam7$$"0Z$pyuz#o#F5$"0D_4T%po<Fiam7$$"0!3;s"\!*p#F5$"0Goi")z^y"Fiam7$$"0"Gcs]r8FF5$"0^dIaA,!=Fiam7$$"06AW@E#GFF5$"0yX@9p\"=Fiam7$$"0MoONIQu#F5$"0RPAK-5$=Fiam7$$"0Pu[h(\fFF5$"0=Fgerr%=Fiam7$$"0#Qw-DvtFF5$"0O%4J_%>'=Fiam7$$"0^-0c!*))y#F5$"0hTA())px=Fiam7$$"0jE`#Qm.GF5$"0Smr7PJ*=Fiam7$$"0E^-?y'>GF5$"0jLj.W*4>Fiam7$$"0=Nq3NN$GF5$"0J94'oaC>Fiam7$$"0Qw_A]%\GF5$"0F"y>wQT>Fiam7$$"0b4>H6W'GF5$"0E,Y(fGd>Fiam7$$"0xa4&yAzGF5$"0@*y4\4t>Fiam7$$"0U$o'>cS*GF5$"0wcrK!)*))>Fiam7$$"0_.2<!=4HF5$"0:yLI[_+#Fiam7$$"0**)zH8@DHF5$"0P'>&pkD-#Fiam7$$"0KkGL5*RHF5$"0yQ&)z2&Q?Fiam7$$"0mJj8?W&HF5$"0.X?I2V0#Fiam7$$"0>Pu(3$*pHF5$"0^$H0WEr?Fiam7$$"02:I&yS&)HF5$"0!\A<VD)3#Fiam7$$""$F,$"0!R0$pOV5#Fiam-I'COLOURGF'6&I$RGBGF'$"*++++"!")F+F+-I+AXESLABELSGF'6$I"tGF'Q!F'-I%VIEWG6$%*protectedGI(_syslibGF'6$;F+F\jnI(DEFAULTGF'

QyQtSSV3aXRoRzYiNiNJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlISIi QyQ+SSVwbHQyRzYiLUkob2RlcGxvdEdGJTYlSSdudW1zb2xHRiUvSSJ0R0YlOyIiISIiJC9JJ2NvbG91ckdGJUklYmx1ZUdGJSIiIg==

-%%PLOTG6%-I'CURVESG6$%*protectedGI(_syslibG6"6#X,I)anythingGF(F*F*[gl'!%"!!#]dl"dw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tGF*I"uGF*

LUkoZGlzcGxheUc2IjYkSSVwbHQxR0YkSSVwbHQyR0Yk

-%%PLOTG6)-%'CURVESG6$7dw7$$""!!""$"#5!""7$$"0pPv]"Gx:!#;$"0U!=&3^p."!#97$$"0%yc8dm\H!#;$"0\a&G0pp5!#97$$"0;KkGbI\%!#;$"0">)Rojr5"!#97$$"0=OsWvm/'!#;$"0H%4MZeX6!#97$$"018E_6Hf(!#;$"0V<#*)*>X="!#97$$"0T#['Hqk-*!#;$"0Mm$o*Q7A"!#97$$"0$f=PP3^5!#:$"/b.<!*))f7!#87$$"0JiC>(f/7!#:$"0*4:I[`+8!#97$$"/29G$=wN"!#9$"0%fZ1AtT8!#97$$"0Pu[P>]^"!#:$"0a;45>[Q"!#97$$"0c7DIeOl"!#:$"0<#zJnOB9!#97$$"0Y#\)*Gt4=!#:$"0A![M4Vn9!#97$$"0ze<N[k'>!#:$"0#>$))p)Q7:!#97$$"0C['HFZ<@!#:$"0uY!)\*Qc:!#97$$"0$e;LthaA!#:$"0_&f&)4#pf"!#97$$"0He;`&p<C!#:$"0ZkJhGek"!#97$$"0#RycT%eb#!#:$"/&\nwkyo"!#87$$"0u[(\Qa;F!#:$"0=zG)4YP<!#97$$"0pPvI!zeG!#:$"0hdj^))>y"!#97$$"0"He;s&[,$!#:$"0orF6>:$=!#97$$"0,.1#)pM;$!#:$"0RNX@U$z=!#97$$"017C[J&=L!#:$"0"eZk^#*H>!#97$$"0#['H\E4Y$!#:$"/0nr=*p(>!#87$$"0sV([(=Xh$!#:$"0UWFe?%G?!#97$$"/4=Oz0uP!#9$"0aC<#oc#3#!#97$$"/#RyEPH"R!#9$"0kh'*y..8#!#97$$"0x`2vIH1%!#:$"0_MD$4\#=#!#97$$"0Rxap))y@%!#:$"0E,rL#4PA!#97$$"0LlI"[[pV!#:$"0*oYmZ="H#!#97$$"0ze<&=;;X!#:$"0%*R-+eTM#!#97$$"0Rxap@!zY!#:$"/&yCh3PS#!#87$$"0rU&3&e`#[!#:$"0[FnFvyX#!#97$$"0Hd9H/;)\!#:$"0s#fgqR;D!#97$$"0MnM>'=B^!#:$"0W_6^R+d#!#97$$"0BX!4E(zF&!#:$"0%*eKy^$HE!#97$$"0e;Lc9OU&!#:$"0#>(36'z&o#!#97$$"0w^.P_ed&!#:$"0apg'fXXF!#97$$"0LmKl#pCd!#:$"0"\.ceV/G!#97$$"0Rycj90)e!#:$"0\S)*[so'G!#97$$"07BYs*eIg!#:$"01(H%ytw#H!#97$$"0Z%*)yJ1%='!#:$"0lhx:H0*H!#97$$"0RxazliL'!#:$"/:gC/a`I!#87$$"0#['H>ChZ'!#:$"0/*oj].7J!#97$$"0\(\*p<kj'!#:$"0sX0(fxzJ!#97$$"028E7'yzn!#:$"/p$o:(*4C$!#87$$"0h@VwYE$p!#:$"06J&3+$pI$!#97$$"02:I!R&*yq!#:$"0p.j[s1P$!#97$$"0X*)y<49C(!#:$"0`"=M&z@W$!#97$$"0BX!4N3#Q(!#:$"0-gJJ>Z]$!#97$$"0$e;L,vTv!#:$"0fBWn*RwN!#97$$"0>Qw#*oso(!#:$"0C<(pTPUO!#97$$"0*zf>OWYy!#:$"0Lhg(\C:P!#97$$"0['HfWy$)z!#:$"0#\t">7(yP!#97$$"06@Uk*>S")!#:$"/GEC>m^Q!#87$$"0xa4**)G"H)!#:$"01=6?.G#R!#97$$"0PtYjzAW)!#:$"0j%>"4hX*R!#97$$"0Gb5"[r#f)!#:$"0%\)\@9n1%!#97$$"/05?fBP()!#9$"/u6)[]m8%!#87$$"0mJj1nM*))!#:$"0*y1Ql$H@%!#97$$"0U%)onmB/*!#:$"0QyT=.jG%!#97$$"0kFb]w!*>*!#:$"0'prpV@kV!#97$$"0$f=Pm$4M*!#:$"0(f'f]e`V%!#97$$"0)f>R'=x\*!#:$"0W%R!ymY^%!#97$$"0U%)oZ))yk*!#:$"0JLnS+8f%!#97$$"0#\)pz#p(z*!#:$"06'z'z+%oY!#97$$"0v\**)R;a**!#:$"0f*>`"H'\Z!#97$$"0V&3nz#)45!#9$"0mVE?t]#[!#97$$"/17%Q(eC5!#8$"0"[.]T'H!\!#97$$"0OrU`$)3/"!#9$"0%f,]2q*)\!#97$$"04<MOQc0"!#9$"0h7'*o**)o]!#97$$"0v\*Rzsq5!#9$"0LDa8]0:&!#97$$"0-.1ltg3"!#9$"0blg_lUB&!#97$$"0Pu[Mz,5"!#9$"0*R!)3-#=J&!#97$$"0&4>eb@:6!#9$"0">/8!G^R&!#97$$"0Pu[JP,8"!#9$"0Gk/b^%ya!#97$$"0T"Gc*)4Y6!#9$"0%[ww%)Hob!#97$$"0$oO8W=g6!#9$"0sepx*>[c!#97$$"0<Mo5Ok<"!#9$"04y([g5Td!#97$$"0=Os+-6>"!#9$"07[4*fgDe!#97$$"0[&4\Jh07!#9$"0@)y'yH)4f!#97$$"0rT$)G<7A"!#9$"0JP+f!3,g!#97$$"0uZ&\X)oB"!#9$"0s#R$y7M4'!#97$$"0>PuVR6D"!#9$"00S&*\T!yh!#97$$"0)e<&\xiE"!#9$"0L$=+.coi!#97$$"*w]5G"!")$"/dF6-adj!#87$$"0iC\8lqH"!#9$"/9?`@rak!#87$$"0a3<-A4J"!#9$"0;aHl%RRl!#97$$"0v\*fr$oK"!#9$"0)Q/AWMPm!#97$$"0"HeE#)zT8!#9$"0%)[d"R4In!#97$$"09Gcy9mN"!#9$"0_o='*)eAo!#97$$"0yc88V9P"!#9$"0)Q-\mz:p!#97$$"0)oP0rc'Q"!#9$"0Rg.:@:,(!#97$$"0OsWE)f-9!#9$"0,(o8Or8r!#97$$"0pPvE(H<9!#9$"06tFxq!3s!#97$$"0.0522=V"!#9$"0a!)z`H=I(!#97$$"0b5@"yJZ9!#9$"/_=bIt-u!#87$$"0W)o(y%zi9!#9$"0p(RUT6/v!#97$$"0"=O#H'ow9!#9$"0*zY"z-df(!#97$$"0/29yTJ\"!#9$"0H'yK@#\q(!#97$$"0zd:(4"p]"!#9$"0rsA$o"pz(!#97$$"0:Ige:I_"!#9$"0e>(*Q9_!z!#97$$"0,-/)eQQ:!#9$"0%[[DsF4!)!#97$$"0JiCs4@b"!#9$"0YgLTtF5)!#97$$"0&4>=Oan:!#9$"0UHB)Qd3#)!#97$$"0**)z>)zIe"!#9$"0OqP;vdJ)!#97$$"0w_0=U&)f"!#9$"0t)y\P;B%)!#97$$"0Y"Hox(Gh"!#9$"0z8$HxMB&)!#97$$"0BX!R9sF;!#9$"0<O)4@rF')!#97$$"0'Gd%ysIk"!#9$"0ff*y(>jt)!#97$$"/29)*[Pe;!#8$"0Len0h_%))!#97$$"029G+:Tn"!#9$"0n[1)3.e*)!#97$$"0*yd&*)yzo"!#9$"0&Grt_&z0*!#97$$"0)e<bje.<!#9$"0iyN<:6<*!#97$$"0^-0!zD><!#9$"0Az'[BX&G*!#97$$"0Y"HQ.OM<!#9$"/G%e18jR*!#87$$"0AV')zu![<!#9$"0m$=k(fv\*!#97$$"0Y#\=EQk<!#9$"0K&))\Om='*!#97$$"0-05[(>y<!#9$"0^2T]f=s*!#97$$"0^,.XnUz"!#9$"0x;:**)fU)*!#97$$"//3'4#\3=!#8$"0/T[P+,&**!#97$$"0#\)py)4C=!#9$"0VNlKso+"!#87$$"0$pQZ+'*Q=!#9$"0Y+q&QB=5!#87$$"0%yc8iYa=!#9$"/-;yo:I5!#77$$"07BYr0(o=!#9$"0ON/^n6/"!#87$$"0,,-%\1%)=!#9$"0>;d05J0"!#87$$"0sW*e)=+!>!#9$"0zm+j(el5!#87$$"0b5@z1R">!#9$"0H#*fk4l2"!#87$$"0,-/91*G>!#9$"0i!Q8(o$)3"!#87$$"0Pu[$>SW>!#9$"/(\$))*)o+6!#77$$"0<Lmah&f>!#9$"0QPX`4G6"!#87$$"0^-0DHU(>!#9$"0$*)*))Q+Y7"!#87$$"0Pu[B:0*>!#9$"01k"4awP6!#87$$"/4=;*[^+#!#8$"0VjWag'\6!#87$$"0OsW\t2-#!#9$"0&\<r)HC;"!#87$$"0PtYoJ\.#!#9$"0v.23iS<"!#87$$"0;JiK5/0#!#9$"0dp'[e%o="!#87$$"0He;_u\1#!#9$"/0D))z$*)>"!#77$$"0"=O-$)>!3#!#9$"0/>_oV;@"!#87$$"0F`1L#3&4#!#9$"0'Q1u48C7!#87$$"0Z%*)GXm5@!#9$"00@P-tsB"!#87$$"0%*)yP?nD@!#9$"0vV!>r**\7!#87$$"03;KQ>59#!#9$"0u362xIE"!#87$$"0Pu[kRi:#!#9$"0(pK^j6w7!#87$$"07BY[D-<#!#9$"08O&yu:)G"!#87$$"0Qw_$[D'=#!#9$"0#H49z--8!#87$$"0%zex;f+A!#9$"/4<)3(\98!#77$$"0ze<uxe@#!#9$"08o#ew&yK"!#87$$"09GcX30B#!#9$"/u?h!42M"!#77$$"0e:J)RvYA!#9$"0w"R9=0b8!#87$$"0;JiT@3E#!#9$"0'QuxN`n8!#87$$"0AV'y!)ywA!#9$"/^11-x"Q"!#77$$"0X!4e*R8H#!#9$"0^8+"*4[R"!#87$$"0V'GFuD2B!#9$"/;a/Q949!#77$$"0Gc7^"*4K#!#9$"0<\Ztq:U"!#87$$"0u[(HIjOB!#9$"0(Q"fN!zN9!#87$$"06AW'>u^B!#9$"0ME;N$f\9!#87$$"0(RzG5%oO#!#9$"0G&)*QOXj9!#87$$"0;Kka%)=Q#!#9$"0<_'e)GtZ"!#87$$"0oOtlOjR#!#9$"0n3>d?2\"!#87$$"/)f>xf>T#!#8$"0"*[snl_]"!#87$$"03:It\oU#!#9$"/))>oU>>:!#77$$"/%zer?DW#!#8$"0<?)yI#R`"!#87$$"0BX!HnqcC!#9$"062Wx<ta"!#87$$"0BY#H\QsC!#9$"0d+"*[*=i:!#87$$"03:I">S([#!#9$"0%yA75]w:!#87$$"08D]M#Q-D!#9$"0z=*HI%3f"!#87$$"0h@VYH!=D!#9$"0()**H*H*eg"!#87$$"017C.TC`#!#9$"0(4?Nv")>;!#87$$"0CZ%\/?ZD!#9$"0s3KwSTj"!#87$$"0*zf*f'\jD!#9$"0TMF))G+l"!#87$$"0sV(G9DyD!#9$"0ug)y3[k;!#87$$"0Qw_+TLf#!#9$"0JP9AE$z;!#87$$"0lHfr'o3E!#9$"0/!\^9\%p"!#87$$"0,,-T#zAE!#9$"0.$zV;\3<!#87$$"0f<NiGyj#!#9$"0a7y4zMs"!#87$$"0,,-Q]Fl#!#9$"0Q=TX<%Q<!#87$$"0/3;-7(oE!#9$"0*p4;&oWv"!#87$$"0Z$pyuz#o#!#9$"0D_4T%po<!#87$$"/3;s"\!*p#!#8$"0Goi")z^y"!#87$$"0"Gcs]r8F!#9$"0^dIaA,!=!#87$$"06AW@E#GF!#9$"0yX@9p\"=!#87$$"0MoONIQu#!#9$"0RPAK-5$=!#87$$"0Pu[h(\fF!#9$"0=Fgerr%=!#87$$"0#Qw-DvtF!#9$"0O%4J_%>'=!#87$$"0^-0c!*))y#!#9$"0hTA())px=!#87$$"0jE`#Qm.G!#9$"/k;Fr8$*=!#77$$"0E^-?y'>G!#9$"0jLj.W*4>!#87$$"0=Nq3NN$G!#9$"0J94'oaC>!#87$$"0Qw_A]%\G!#9$"0F"y>wQT>!#87$$"0b4>H6W'G!#9$"0E,Y(fGd>!#87$$"0xa4&yAzG!#9$"0@*y4\4t>!#87$$"0U$o'>cS*G!#9$"0wcrK!)*))>!#87$$"0_.2<!=4H!#9$"0:yLI[_+#!#87$$"0**)zH8@DH!#9$"0P'>&pkD-#!#87$$"0KkGL5*RH!#9$"0yQ&)z2&Q?!#87$$"0mJj8?W&H!#9$"0.X?I2V0#!#87$$"0>Pu(3$*pH!#9$"0^$H0WEr?!#87$$"02:I&yS&)H!#9$"/\A<VD)3#!#77$$"#I!""$"/R0$pOV5#!#7-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7ew7$$""!!""$"#5!""7$$"#:!"$$"2_ow=x@^."!#;7$$""$!"#$"2')fubU%)32"!#;7$$"#X!"$$"2"\E%\fqs5"!#;7$$""'!"#$"1*4xiJeU9"!#:7$$"#v!"$$"2')=`:h?=="!#;7$$""*!"#$"2**G+AWD*>7!#;7$$"$0"!"$$"2Q!>54d`e7!#;7$$"#7!"#$"2a<V))R4wH"!#;7$$"$N"!"$$"2O%=ep#*4P8!#;7$$"#:!"#$"24No%zI&pP"!#;7$$"$l"!"$$"2vnya"\6<9!#;7$$"#=!"#$"2K")o$R__d9!#;7$$"$&>!"$$"2L2`x6@")\"!#;7$$"#@!"#$"2ysy$3s$)Q:!#;7$$"$D#!"$$"1Kf48egz:!#:7$$"#C!"#$"1Cn!)z%f.i"!#:7$$"$b#!"$$"1)*H%4GJ5m"!#:7$$"#F!"#$"2(o0Q!)[b,<!#;7$$"$&G!"$$"21d^nxl=u"!#;7$$""$!""$"22Uzf%=!>y"!#;7$$"$:$!"$$"221P%>[g@=!#;7$$"#L!"#$"2Q(4G\1#4'=!#;7$$"$X$!"$$"2uKo;_*z**=!#;7$$"#O!"#$"2P[:hH'>Q>!#;7$$"$v$!"$$"2V&[ew42w>!#;7$$"#R!"#$"2'*zOgj)Q8?!#;7$$"$0%!"$$"2t6h#=%>,0#!#;7$$"#U!"#$"1\q(y`Qi3#!#:7$$"$N%!"$$"2Z_sD"fs@@!#;7$$"#X!"#$"1@cj[hcc@!#:7$$"$l%!"$$"1`#\qe[2>#!#:7$$"#[!"#$"1kEp"*eECA!#:7$$"$&\!"$$"2d_vQ,9rD#!#;7$$"#^!"#$"2C$zL#>#H*G#!#;7$$"$D&!"$$"1iVR^H!3K#!#:7$$"#a!"#$"2e$Q&y9^;N#!#;7$$"$b&!"$$"2'Ro7@R%=Q#!#;7$$"#d!"#$"1N%R"Q.R6C!#:7$$"$&e!"$$"2$z3;E1ISC!#;7$$""'!""$"2Zh.G<'eoC!#;7$$"$:'!"$$"2jFBg_fi\#!#;7$$"#j!"#$"2XUR@NML_#!#;7$$"$X'!"$$"0-#=;Z#)\D!#97$$"#m!"#$"1<XeC`uvD!#:7$$"$v'!"$$"2Of^5666g#!#;7$$"#p!"#$"2Zt'GWq$fi#!#;7$$"$0(!"$$"1JA*z7Q-l#!#:7$$"#s!"#$"1w"p3SHSn#!#:7$$"$N(!"$$"20m(yIfK(p#!#;7$$"#v!"#$"2mMrs`U,s#!#;7$$"$l(!"$$"2G;0K#Q\UF!#;7$$"#y!"#$"1[i+TTRkF!#:7$$"$&z!"$$"21$*zx\dey#!#;7$$"#")!"#$"2Wt>`b(*o!G!#;7$$"$D)!"$$"2bP2,jFv#G!#;7$$"#%)!"#$"1iFJ$pgx%G!#:7$$"$b)!"$$"1**Rzq$4w'G!#:7$$"#()!"#$"2drv(ff3()G!#;7$$"$&))!"$$"1_?HsB?1H!#:7$$""*!""$"2Vieq&*p\#H!#;7$$"$:*!"$$"1:"3hq*RVH!#:7$$"#$*!"#$"2Y_haF-:'H!#;7$$"$X*!"$$"1t"G^)zGzH!#:7$$"#'*!"#$"2xq0">ow'*H!#;7$$"$v*!"$$"274!QD%[R,$!#;7$$"#**!"#$"2.hDf6U3.$!#;7$$"%05!"$$"1u[qmoXZI!#:7$$"$-"!"#$"0")owJ,Q1$!#97$$"%N5!"$$"1pmvsP))zI!#:7$$"$0"!"#$"1>,!4?7d4$!#:7$$"%l5!"$$"2UL0wN%H6J!#;7$$"$3"!"#$"1k;W=wjEJ!#:7$$"%&4"!"$$"2DMUp-\<9$!#;7$$"$6"!"#$"1zWc4ajcJ!#:7$$"%D6!"$$"2;/*ovLIrJ!#;7$$"$9"!"#$"2X(3i<$fd=$!#;7$$"%b6!"$$"1(o)e5%4+?$!#:7$$"$<"!"#$"2w0XFhfS@$!#;7$$"%&="!"$$"1Mk;lc"zA$!#:7$$"#7!""$"2%HJ&=4$eTK!#;7$$"%:7!"$$"1K$H(*>n]D$!#:7$$"$B"!"#$"224V'yIPoK!#;7$$"%X7!"$$"1B`jNc]"G$!#:7$$"$E"!"#$"1F'**zqpWH$!#:7$$"%v7!"$$"1:eM3)psI$!#:7$$"$H"!"#$"130*eH5*>L!#:7$$"%08!"$$"1V[30aRKL!#:7$$"$K"!"#$"2EY9cCHZM$!#;7$$"%N8!"$$"0_*R-e"pN$!#97$$"$N"!"#$"2Bo%fN*e*oL!#;7$$"%l8!"$$"2U7*e!Qi3Q$!#;7$$"$Q"!"#$"2d`1![(HER$!#;7$$"%&R"!"$$"2E60P_kUS$!#;7$$"$T"!"#$"1jvxo+x:M!#:7$$"%D9!"$$"2k5^&>'\rU$!#;7$$"$W"!"#$"2<Z(e(G1%QM!#;7$$"%b9!"$$"1P09rIa\M!#:7$$"$Z"!"#$"2P>NJ(HcgM!#;7$$"%&["!"$$"1-)z-!)o9Z$!#:7$$"#:!""$"12&GyCjA[$!#:7$$"%::!"$$"1UB,V*[H\$!#:7$$"$`"!"#$"10#R]WGN]$!#:7$$"%X:!"$$"2%yQ4XU+9N!#;7$$"$c"!"#$"2Y-QjwyV_$!#;7$$"%v:!"$$"2E=5ROaY`$!#;7$$"$f"!"#$"2&pd#\KL[a$!#;7$$"%0;!"$$"1"3x%oy"\b$!#:7$$"$i"!"#$"2KHLc95\c$!#;7$$"%N;!"$$"2lXS%RA"[d$!#;7$$"$l"!"#$"2G]@\;EYe$!#;7$$"%l;!"$$"1Ti2pQN%f$!#:7$$"$o"!"#$"2/O")3B(*Rg$!#;7$$"%&p"!"$$"0h(ep!eNh$!#97$$"$r"!"#$"1A$=GBQIi$!#:7$$"%D<!"$$"23#G=U%RCj$!#;7$$"$u"!"#$"2EE%f]LwTO!#;7$$"%b<!"$$"1)R**[d65l$!#:7$$"$x"!"#$"1t&yep&=gO!#:7$$"%&y"!"$$"0tX#esGpO!#97$$"#=!""$"2XS[1x<$yO!#;7$$"%:=!"$$"2Ftncqyso$!#;7$$"$$=!"#$"1U%=)*\rhp$!#:7$$"%X=!"$$"1a)[Nb(*\q$!#:7$$"$'=!"#$"23*3CJ#ePr$!#;7$$"%v=!"$$"2a157'[XAP!#;7$$"$*=!"#$"20\0dt)3JP!#;7$$"%0>!"$$"1r)446h'RP!#:7$$"$#>!"#$"2/^Rp?t"[P!#;7$$"%N>!"$$"1,V%y?Emv$!#:7$$"$&>!"#$"0u2;E@]w$!#97$$"%l>!"$$"2d"p9![fLx$!#;7$$"$)>!"#$"2nsk%z>k"y$!#;7$$"%&*>!"$$"2N'e#p')p)*y$!#;7$$"$,#!"#$"1EX\jT/)z$!#:7$$"%D?!"$$"0YO0(e;1Q!#97$$"$/#!"#$"1BNsqfB9Q!#:7$$"%b?!"$$"2CqL!GaDAQ!#;7$$"$2#!"#$"2N5^x=D-$Q!#;7$$"%&3#!"$$"2d&fYwh9QQ!#;7$$"#@!""$"1:Y2-$>g%Q!#:7$$"%:@!"$$"1^&zPXXQ&Q!#:7$$"$8#!"#$"1i$*3-bihQ!#:7$$"%X@!"$$"2Fx=))Hg$pQ!#;7$$"$;#!"#$"2&>')3x10xQ!#;7$$"%v@!"$$"0(eK^up%)Q!#97$$"$>#!"#$"17OE<9I#*Q!#:7$$"%0A!"$$"2<0T>Nj)**Q!#;7$$"$A#!"#$"1DNq8SQ2R!#:7$$"%NA!"$$"2Y[-A9k["R!#;7$$"$D#!"#$"13bReWIAR!#:7$$"%lA!"$$"2cHYXm0(HR!#;7$$"$G#!"#$"2xmCUWoq$R!#;7$$"%&H#!"$$"1d[gmMRWR!#:7$$"$J#!"#$"21t**QV"o^R!#;7$$"%DB!"$$"1L6\%*H$*eR!#:7$$"$M#!"#$"1GP_p([h'R!#:7$$"%bB!"$$"1Kynq$HL(R!#:7$$"$P#!"#$"16%p,Sv/)R!#:7$$"%&Q#!"$$"1'3]2X(e()R!#:7$$"#C!""$"2F72d5mY*R!#;7$$"%:C!"$$"2:Wj)Q>r,S!#;7$$"$V#!"#$"1>wd9bs3S!#:7$$"%XC!"$$"1vQu(Q2d,%!#:7$$"$Y#!"#$"1&3#z."eE-%!#:7$$"%vC!"$$"1wxo)>y&HS!#:7$$"$\#!"#$"1D@$*)>ok.%!#:7$$"%0D!"$$"1k>c@'GL/%!#:7$$"$_#!"#$"1r(\T(*f,0%!#:7$$"%ND!"$$"2&zO![vip0%!#;7$$"$b#!"#$"0Zn@XPP1%!#97$$"%lD!"$$"1z0UXX[qS!#:7$$"$e#!"#$"1'4yU]/s2%!#:7$$"%&f#!"$$"0v!**)y(*Q3%!#97$$"$h#!"#$"1O\M][c!4%!#:7$$"%DE!"$$"2lpi'Hh?(4%!#;7$$"$k#!"#$"2lr,)e?#Q5%!#;7$$"%bE!"$$"1V`:gIT5T!#:7$$"$n#!"#$"1)3@nazp6%!#:7$$"%&o#!"$$"1Hq.`>_BT!#:7$$"#F!""$"2&=nL*pS+8%!#;7$$"%:F!"$$"1F6kuh`OT!#:7$$"$t#!"#$"1W7Oj(3I9%!#:7$$"%XF!"$$"1v!)HX)e%\T!#:7$$"$w#!"#$"1aEk&z')e:%!#:7$$"%vF!"$$"1Bg(\)HHiT!#:7$$"$z#!"#$"0Dp#zxnoT!#97$$"%0G!"$$"1<M))R:/vT!#:7$$"$#G!"#$"1G'pNi%Q"=%!#:7$$"%NG!"$$"16!pCQ2x=%!#:7$$"$&G!"#$"1,F6k,,%>%!#:7$$"%lG!"$$"0'=U6LH+U!#97$$"$)G!"#$"1swqirb1U!#:7$$"%&*G!"$$"1M8n^?!G@%!#:7$$"$"H!"#$"01/uIG!>U!#97$$"%DH!"$$"1"4(QaiBDU!#:7$$"$%H!"#$"0o"\7iUJU!#97$$"%bH!"$$"10"zp\)fPU!#:7$$"$(H!"#$"1d1]=MvVU!#:7$$"%&)H!"$$"1\w4$G"*)\U!#:7$$"#I!""$"1;9?#R7gD%!#:-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#I!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#"""-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#"""-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ(DEFAULT6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5-%%ROOTG6'-%)BOUNDS_XG6#$"$?%!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%+N!""-%.BOUNDS_HEIGHTG6#$"%?N!""-%)CHILDRENG6"