JSFH

Example HOMEWORK for PHY 711

8/22/2022 Natalie Holzwarth

Problem Set 0

The purpose of this problem set is to become familiar with the use of Maple, Mathematica, or Wolfram Alpha as a tool for analyzing mathematically complex problems. Choose one of the tools to visualize and solve the following problems. (In this case we are using Maple)

1. Numerically find the values of x which satisfy the following equation.

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

LywmKiQpSSJ4RzYiIiIkIiIiRikqJClGJiIiI0YpISIiIiIo

Use graphics to help visualize the problem.

2. Find the following integral as a function of x.

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

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJnR0YoZio2I0kieEdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoLUkkaW50R0YlNiQtSSRleHBHRiU2IywkKiQpSSJzR0YoIiIjIiIiISIiL0Y9OyIiIUYwRihGKEYoNyNGLg==

Use graphics to help you visualize the integrand and the intregral.

-----------------------------------------------------------------------------------------------------------------------------------------------------

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

6+-%'CURVESG6$7dw7$$!#5!""$"#q!""7$$!1v\**)z&p*y*!#;$"#q!""7$$!1b4>Q7r1'*!#;$"#q!""7$$!1Y!4='f#4S*!#;$"#q!""7$$!1w^.2mx$>*!#;$"#q!""7$$!1D\)pz6w)*)!#;$"#q!""7$$!1zc8F1Z'z)!#;$"#q!""7$$!1Fa3<]b)f)!#;$"#q!""7$$!1^-05/(QR)!#;$"#q!""7$$!1Gd9HA%)*=)!#;$"#q!""7$$!1rT$o;u*zz!#;$"#q!""7$$!1$e;LEA^z(!#;$"#q!""7$$!005?!G-(e(!#:$"#q!""7$$!12;Kk)o!yt!#;$"#q!""7$$!1yc8FIqwr!#;$"#q!""7$$!1&*)ydbVQ*p!#;$"#q!""7$$!1X*)ydfSwn!#;$"#q!""7$$!1uZ&4z2Af'!#;$"#q!""7$$!1T$oO`TzP'!#;$"#q!""7$$!1\(\**ez#)='!#;$"#q!""7$$!1Z%*)yP!>!)f!#;$"#q!""7$$!0)f>R-/#y&!#:$"#q!""7$$!1>Ryc8Hvb!#;$"#q!""7$$!1nNrU8V&Q&!#;$"#q!""7$$!13<Mo;k!=&!#;$"#q!""7$$!1%ze<vAz'\!#;$"#q!""7$$!2'Qxa4.v#y%!#<$"#q!""7$$!2Y(\**)**eFe%!#<$"#q!""7$$!29:IgS[hP%!#<$"#q!""7$$!1JiC\--uT!#;$"#q!""7$$!2xg@V'3XyR!#<$"#q!""7$$!2/:IgS/8w$!#<$"#q!""7$$!1#Qw_l)=mN!#;$"#q!""7$$!2uhBZ%4'yN$!#<$"#q!""7$$!1&)oPv]3pJ!#;$"#q!""7$$!1)pRz=.F'H!#;$"#q!""7$$!2/*yd:R^oF!#<$"#q!""7$$!1@V'G<Ibc#!#;$"#q!""7$$!1e:Jik2nB!#;$"#q!""7$$!2vZ&4>QJf@!#<$"#q!""7$$!2B^-0q8#f>!#<$"#q!""7$$!1.29GCea<!#;$"#q!""7$$!2)\,.1ck^:!#<$"#q!""7$$!2yc8Fun^O"!#<$"#q!""7$$!2FoOt1V9:"!#<$"#q!""7$$!1lC\)p^Gg*!#<$"#q!""7$$!1A_/4)4Zc(!#<$"#q!""7$$!1$**)zfz%Rh&!#<$"#q!""7$$!1%pS"Gw(yW$!#<$"#q!""7$$!2b)pRz)>Ad"!#=$"#q!""7$$"1-06AWomb!#=$"#q!""7$$"1#)e<N!>p\#!#<$"#q!""7$$"0`18E[#>Y!#;$"#q!""7$$"1<kGd%f/X'!#<$"#q!""7$$"1:9Gc_*f`)!#<$"#q!""7$$"2"*pRz)>0b5!#<$"#q!""7$$"2u:Ji%GPc7!#<$"#q!""7$$"2`.293`pX"!#<$"#q!""7$$"2kLnM*yk\;!#<$"#q!""7$$"17AW)3cz&=!#;$"#q!""7$$"2Kc7D!*)[c?!#<$"#q!""7$$"2)=NqS`VlA!#<$"#q!""7$$"1tX"H=#eaC!#;$"#q!""7$$"118E_[ijE!#;$"#q!""7$$"2Mc7DI^Q'G!#<$"#q!""7$$"20!*zfR!fjI!#<$"#q!""7$$"1KjE`'=AF$!#;$"#q!""7$$"1jBZ%*GPkM!#;$"#q!""7$$"1T!3;7l6m$!#;$"#q!""7$$"1#4=O7Z%yQ!#;$"#q!""7$$"1sW*)y"y^2%!#;$"#q!""7$$"2tJjE`sjF%!#<$"#q!""7$$"1--/3?)4[%!#;$"#q!""7$$"2OHe;$z0pY!#<$"#q!""7$$"2uRzexS&p[!#<$"#q!""7$$"1"He;`(\o]!#;$"#q!""7$$"1Ga3<%>8G&!#;$"#q!""7$$"1*yd:^D"pa!#;$"#q!""7$$"1X*)ydZ"eo&!#;$"#q!""7$$"16C['4g8)e!#;$"#q!""7$$"1*pRz)>%[2'!#;$"#q!""7$$"1Y%*)y<(*GG'!#;$"#q!""7$$"0&)pR*Rz"\'!#:$"#q!""7$$"1X"He;f=o'!#;$"#q!""7$$"1$Ryc$**p$)o!#;$"#q!""7$$"1,+++on!3(!#;$"#q!""7$$"1v\**)z,UH(!#;$"#q!""7$$"1OsW*Gg*yu!#;$"#q!""7$$"1;LmK@;"p(!#;$"#q!""7$$"1Gb5@Ik!*y!#;$"#q!""7$$"1U&3<9(>)3)!#;$"#q!""7$$"1`/4=%3fG)!#;$"#q!""7$$"1E^-09c([)!#;$"#q!""7$$"1C['H>58q)!#;$"#q!""7$$"17D]+pH(*))!#;$"#q!""7$$"1nOtY4w!4*!#;$"#q!""7$$"1-29G3d(H*!#;$"#q!""7$$"1jD^-0$R]*!#;$"#q!""7$$"1BT#[c]"*o*!#;$"#q!""7$$"1PrU&3d&3**!#;$"#q!""7$$"2&=PuGY@45!#;$"#q!""7$$"23?S![uoI5!#;$"#q!""7$$"2mMpQ<"=^5!#;$"#q!""7$$"2([(\*H'z%p5!#;$"#q!""7$$"0%zed"e+4"!#9$"#q!""7$$"2mKlI4t26"!#;$"#q!""7$$"2<NqSd*QJ6!#;$"#q!""7$$"2iFb5p.0:"!#;$"#q!""7$$"2=Ig?D&Hq6!#;$"#q!""7$$"1>Qw7Pw!>"!#:$"#q!""7$$"27Fa3`m6@"!#;$"#q!""7$$"1Fa3PL:K7!#:$"#q!""7$$"2e=Pu_Q1D"!#;$"#q!""7$$"1Ryct%[9F"!#:$"#q!""7$$"2OoOt'QM#H"!#;$"#q!""7$$"2mFb5X![78!#;$"#q!""7$$"2X&4>)Rm2L"!#;$"#q!""7$$"2(\**)z:5DN"!#;$"#q!""7$$"2nOtY(*H4P"!#;$"#q!""7$$"2.,-/gcBR"!#;$"#q!""7$$"2'pQx%zA8T"!#;$"#q!""7$$"2%**)zfrJ@V"!#;$"#q!""7$$"2jC\)Hn%>X"!#;$"#q!""7$$"2BX!4=;is9!#;$"#q!""7$$"2x[(\>wg"\"!#;$"#q!""7$$"2LnMpe'37:!#;$"#q!""7$$"1lHfy%eL`"!#:$"#q!""7$$"2229Gsv=b"!#;$"#q!""7$$"2mMpQ&[(=d"!#;$"#q!""7$$"1He;8f`#f"!#:$"#q!""7$$"28AW)G([Fh"!#;$"#q!""7$$"2MoOtm0Bj"!#;$"#q!""7$$"2$He;8.-a;!#;$"#q!""7$$"117C))=`t;!#:$"#q!""7$$"2D['HfYO%p"!#;$"#q!""7$$"2c:JiCUKr"!#;$"#q!""7$$"1u[(\V!)Qt"!#:$"#q!""7$$"2b06AO*H`<!#;$"#q!""7$$"17C[Oxft<!#:$"#q!""7$$"2%)oPv5VMz"!#;$"#q!""7$$"2nHf=P>U"=!#;$"#q!""7$$"1$f=PQHU$=!#:$"#q!""7$$"2Oxa4^#pa=!#;$"#q!""7$$"2%He;$>')\(=!#;$"#q!""7$$"1([(\zRj$*=!#:$"#q!""7$$"2b<NqW1]">!#;$"#q!""7$$"0#RyOA7M>!#9$"#q!""7$$"1#Rycl.X&>!#:$"#q!""7$$"2W&3<u7,u>!#;$"#q!""7$$"1Pu[x>n&*>!#:$"#q!""7$$"1u[(\bGW,#!#:$"#q!""7$$"2Y&4>QurN?!#;$"#q!""7$$"1.17W*>^0#!#:$"#q!""7$$"14>QOKMw?!#:$"#q!""7$$"2(3<M[`l%4#!#;$"#q!""7$$"1e;L12^:@!#:$"#q!""7$$"2V"Gc_flN@!#;$"#q!""7$$"0'>RQ!)yb@!#9$"#q!""7$$"2xa4>1Ye<#!#;$"#q!""7$$"1yb6Vb6&>#!#:$"#q!""7$$"2b18EOYf@#!#;$"#q!""7$$"205?Sk*zNA!#;$"#q!""7$$"1'>RyG%pcA!#:$"#q!""7$$"2<Ig?(*3cF#!#;$"#q!""7$$"1v\**QK^'H#!#:$"#q!""7$$"225?S)e`;B!#;$"#q!""7$$"2W$oO$z4lL#!#;$"#q!""7$$"2uZ&4>EPdB!#;$"#q!""7$$"2/3;K/)ewB!#;$"#q!""7$$"2%['HfEniR#!#;$"#q!""7$$"1`18ma*zT#!#:$"#q!""7$$"2=He;dowV#!#;$"#q!""7$$"1w^.2!)ydC!#:$"#q!""7$$"2X'Gda*[#yC!#;$"#q!""7$$"2PnMpacq\#!#;$"#q!""7$$"1%yc8$[5<D!#:$"#q!""7$$"2PnMp]+q`#!#;$"#q!""7$$"1(Qxap#GeD!#:$"#q!""7$$"1BY#\Ijqd#!#:$"#q!""7$$"1RxaHAt)f#!#:$"#q!""7$$"2a3<Mw'G=E!#;$"#q!""7$$"19Gc_\jPE!#:$"#q!""7$$"2%*yd:ZS%eE!#;$"#q!""7$$"1He;`,LzE!#:$"#q!""7$$"1f<NqmL)p#!#:$"#q!""7$$"2NoOtu?&=F!#;$"#q!""7$$"1W)oPV=#QF!#:$"#q!""7$$"1U$oO$4dfF!#:$"#q!""7$$"2vc8FyY!yF!#;$"#q!""7$$"2d<Nq'pE*z#!#;$"#q!""7$$"2uRze0:#>G!#;$"#q!""7$$"2))pRzYq*QG!#;$"#q!""7$$"2%*)yd&fT(eG!#;$"#q!""7$$"2nNrU*o!*yG!#;$"#q!""7$$"2lKlIx"G+H!#;$"#q!""7$$"2d4>QW!))>H!#;$"#q!""7$$"28@U%[oARH!#;$"#q!""7$$"1:HeOy!*fH!#:$"#q!""7$$"/,-/Qa!)H!#8$"#q!""7$$"#I!""$"#q!""-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%'CURVESG6$7dw7$$!#5!""$!#?!""7$$!1v\**)z&p*y*!#;$!1#yrCr2m*=!#:7$$!1b4>Q7r1'*!#;$!1Q)\(G=[4=!#:7$$!1Y!4='f#4S*!#;$!1=,`nNg9<!#:7$$!1w^.2mx$>*!#;$!07$y2TOA;!#97$$!1D\)pz6w)*)!#;$!2:nBlYlP`"!#;7$$!1zc8F1Z'z)!#;$!2soV)R8Va9!#;7$$!1Fa3<]b)f)!#;$!2%=h([#p3v8!#;7$$!1^-05/(QR)!#;$!2t](eR!yfH"!#;7$$!1Gd9HA%)*=)!#;$!1wP.pm0?7!#:7$$!1rT$o;u*zz!#;$!2QQ]Q`k\9"!#;7$$!1$e;LEA^z(!#;$!1._7$e,83"!#:7$$!005?!G-(e(!#:$!2"pQi)HgB,"!#;7$$!12;Kk)o!yt!#;$!0hxy@3*f%*!#:7$$!1yc8FIqwr!#;$!1:#*4*Gso%))!#;7$$!1&*)ydbVQ*p!#;$!17<J_FM7$)!#;7$$!1X*)ydfSwn!#;$!1>%eiarOq(!#;7$$!1uZ&4z2Af'!#;$!1%=oY^40@(!#;7$$!1T$oO`TzP'!#;$!1@&4DpTAm'!#;7$$!1\(\**ez#)='!#;$!10!>e)*p#*>'!#;7$$!1Z%*)yP!>!)f!#;$!1$om<'Q%\r&!#;7$$!0)f>R-/#y&!#:$!1-%e%3+Dw_!#;7$$!1>Ryc8Hvb!#;$!2$3"zd*QST[!#<7$$!1nNrU8V&Q&!#;$!10#3iw;AY%!#;7$$!13<Mo;k!=&!#;$!1k4h=(RV2%!#;7$$!1%ze<vAz'\!#;$!1tF)Hs@Tp$!#;7$$!2'Qxa4.v#y%!#<$!2(3FWi)4:Q$!#<7$$!2Y(\**)**eFe%!#<$!2Cn"R'QCE1$!#<7$$!29:IgS[hP%!#<$!2Pd(HS%HJv#!#<7$$!1JiC\--uT!#;$!2)*zT!))3YpC!#<7$$!2xg@V'3XyR!#<$!1F'>m;>D@#!#;7$$!2/:IgS/8w$!#<$!2A_^0Foo%>!#<7$$!1#Qw_l)=mN!#;$!1U%*\"Q2`s"!#;7$$!2uhBZ%4'yN$!#<$!1"*[<h&Hh]"!#;7$$!1&)oPv]3pJ!#;$!2mh::T%eA8!#<7$$!1)pRz=.F'H!#;$!2-\0Yb:y8"!#<7$$!2/*yd:R^oF!#<$!1*)3\iOk'y*!#<7$$!1@V'G<Ibc#!#;$!1)oaY$Hcq#)!#<7$$!1e:Jik2nB!#;$!1*fYs)fLHp!#<7$$!2vZ&4>QJf@!#<$!2%4IsScWpc!#=7$$!2B^-0q8#f>!#<$!12UG$4m0f%!#<7$$!1.29GCea<!#;$!2'**o!p8=(=O!#=7$$!2)\,.1ck^:!#<$!2aYLp"*y6y#!#=7$$!2yc8Fun^O"!#<$!21t$\_p5=@!#=7$$!2FoOt1V9:"!#<$!2&**p-$*=[y9!#=7$$!1lC\)p^Gg*!#<$!2bK:Y2+2,"!#=7$$!1A_/4)4Zc(!#<$!14BL;FPbh!#=7$$!1$**)zfz%Rh&!#<$!1<.nkEdGL!#=7$$!1%pS"Gw(yW$!#<$!2&o<)3!RxH7!#>7$$!2b)pRz)>Ad"!#=$!2Fl/[mQ2^#!#?7$$"1-06AWomb!#=$!2%fF^<va"3$!#@7$$"1#)e<N!>p\#!#<$!1;[\P;$*yg!#>7$$"0`18E[#>Y!#;$!1K/O]C=N?!#=7$$"1<kGd%f/X'!#<$!2BS4#[#\C*Q!#>7$$"1:9Gc_*f`)!#<$!1>#)zV9Okm!#=7$$"2"*pRz)>0b5!#<$!1G5P(*>$p&**!#=7$$"2u:Ji%GPc7!#<$!2"pbD,x:!Q"!#=7$$"2`.293`pX"!#<$!21q&[hIW8=!#=7$$"2kLnM*yk\;!#<$!1Hl1%>8CF#!#<7$$"17AW)3cz&=!#;$!1%Ru7BM1"G!#<7$$"2Kc7D!*)[c?!#<$!117*)*HF%fL!#<7$$"2)=NqS`VlA!#<$!1F@*G<J&pR!#<7$$"1tX"H=#eaC!#;$!1DJ#[Q%4YX!#<7$$"118E_[ijE!#;$!2b6f?'G30_!#=7$$"2Mc7DI^Q'G!#<$!1&GpmJ:G&e!#<7$$"20!*zfR!fjI!#<$!1jnGmpA5l!#<7$$"1KjE`'=AF$!#;$!1_AaLYr.s!#<7$$"1jBZ%*GPkM!#;$!0Q.<$4)R%y!#;7$$"1T!3;7l6m$!#;$!1sI21nl'\)!#<7$$"1#4=O7Z%yQ!#;$!1'GQ3Pb#3#*!#<7$$"1sW*)y"y^2%!#;$!1fT&=L(RR)*!#<7$$"2tJjE`sjF%!#<$!2=)\mw/qY5!#<7$$"1--/3?)4[%!#;$!2-;'>ZY<36!#<7$$"2OHe;$z0pY!#<$!21Z;o!3:i6!#<7$$"2uRzexS&p[!#<$!1)*>;<kb;7!#;7$$"1"He;`(\o]!#;$!14'yMd')oE"!#;7$$"1Ga3<%>8G&!#;$!2CqMc=]hJ"!#<7$$"1*yd:^D"pa!#;$!2'H'o]*\Cb8!#<7$$"1X*)ydZ"eo&!#;$!2ZN38#4r%R"!#<7$$"16C['4g8)e!#;$!22-9l(QlC9!#<7$$"1*pRz)>%[2'!#;$!2$f%e0uG&[9!#<7$$"1Y%*)y<(*GG'!#;$!20'RP"z=tY"!#<7$$"0&)pR*Rz"\'!#:$!2B+pJ"pZy9!#<7$$"1X"He;f=o'!#;$!2aG7_Oe9["!#<7$$"1$Ryc$**p$)o!#;$!1\.O2*omZ"!#;7$$"1,+++on!3(!#;$!1`b)3TJOY"!#;7$$"1v\**)z,UH(!#;$!1\;v6-jR9!#;7$$"1OsW*Gg*yu!#;$!2)*[(=0(R,T"!#<7$$"1;LmK@;"p(!#;$!2Dc,PPpdO"!#<7$$"1Gb5@Ik!*y!#;$!1sZNeIL88!#;7$$"1U&3<9(>)3)!#;$!2i%y,J5o]7!#<7$$"1`/4=%3fG)!#;$!2'=_,([Jo<"!#<7$$"1E^-09c([)!#;$!2;h053T&*3"!#<7$$"1C['H>58q)!#;$!1Qd(>/WF$)*!#<7$$"17D]+pH(*))!#;$!1,8,#Q1#H()!#<7$$"1nOtY4w!4*!#;$!163tOu79v!#<7$$"1-29G3d(H*!#;$!1%y:XcO@2'!#<7$$"1jD^-0$R]*!#;$!1pjw0Et![%!#<7$$"1BT#[c]"*o*!#;$!215TaEV#=H!#=7$$"1PrU&3d&3**!#;$!1:Pu_*>y(*)!#=7$$"2&=PuGY@45!#;$"1%yFz"*H_Q*!#=7$$"23?S![uoI5!#;$"1kf=%fy*fK!#<7$$"2mMpQ<"=^5!#;$"2'4_VroUbc!#=7$$"2([(\*H'z%p5!#;$"1Ed)*=v)p%z!#<7$$"0%zed"e+4"!#9$"2_9qA:&4q5!#<7$$"2mKlI4t26"!#;$"2kEAL5PnO"!#<7$$"2<NqSd*QJ6!#;$"22C\c@U=o"!#<7$$"2iFb5p.0:"!#;$"1d#*Ql_:#*>!#;7$$"2=Ig?D&Hq6!#;$"2=fokS[BL#!#<7$$"1>Qw7Pw!>"!#:$"180tRM([q#!#;7$$"27Fa3`m6@"!#;$"1G7!GH`w4$!#;7$$"1Fa3PL:K7!#:$"2LC#R\ibCN!#<7$$"2e=Pu_Q1D"!#;$"1[s^-!H-#R!#;7$$"1Ryct%[9F"!#:$"1.0A[]=)Q%!#;7$$"2OoOt'QM#H"!#;$"2%HE75*)e#)[!#<7$$"2mFb5X![78!#;$"1P1#*oO!GQ&!#;7$$"2X&4>)Rm2L"!#;$"1_0nF=nde!#;7$$"2(\**)z:5DN"!#;$"0$[xd4T[k!#:7$$"2nOtY(*H4P"!#;$"1/4&GoR9(p!#;7$$"2.,-/gcBR"!#;$"1&4EoJ[kg(!#;7$$"2'pQx%zA8T"!#;$"1/"4t<fG>)!#;7$$"2%**)zfrJ@V"!#;$"10=n/p-j))!#;7$$"2jC\)Hn%>X"!#;$"1_CD]=rF&*!#;7$$"2BX!4=;is9!#;$"28t_41M\-"!#;7$$"2x[(\>wg"\"!#;$"2yv*>%\uP4"!#;7$$"2LnMpe'37:!#;$"2c=CiwP3<"!#;7$$"1lHfy%eL`"!#:$"1j0(R<ESD"!#:7$$"2229Gsv=b"!#;$"1$*[)*zB4H8!#:7$$"2mMpQ&[(=d"!#;$"1^RG))H)HT"!#:7$$"1He;8f`#f"!#:$"2h!**)H=sF]"!#;7$$"28AW)G([Fh"!#;$"2iE0;*Rt$f"!#;7$$"2MoOtm0Bj"!#;$"29M;!***GZo"!#;7$$"2$He;8.-a;!#;$"2MdSGyd#*y"!#;7$$"117C))=`t;!#:$"29@g$3oO')=!#;7$$"2D['HfYO%p"!#;$"2eW'\z<V$*>!#;7$$"2c:JiCUKr"!#;$"2;S4Q#z]$4#!#;7$$"1u[(\V!)Qt"!#:$"2dH1q5&H1A!#;7$$"2b06AO*H`<!#;$"1%H.JU'o:B!#:7$$"17C[Oxft<!#:$"2<;yE*oYLC!#;7$$"2%)oPv5VMz"!#;$"2ny@Zqg?b#!#;7$$"2nHf=P>U"=!#;$"2`.g"p]"*zE!#;7$$"1$f=PQHU$=!#:$"2#QCO'>zm!G!#;7$$"2Oxa4^#pa=!#;$"2Mpr%eL/SH!#;7$$"2%He;$>')\(=!#;$"1_cbK!yg2$!#:7$$"1([(\zRj$*=!#:$"1'o'4"4PW?$!#:7$$"2b<NqW1]">!#;$"2d@Q76dbN$!#;7$$"0#RyOA7M>!#9$"1ln8"R"R%\$!#:7$$"1#Rycl.X&>!#:$"1nz[eYGYO!#:7$$"2W&3<u7,u>!#;$"2O0s&4(\az$!#;7$$"1Pu[x>n&*>!#:$"2:GAxRpa'R!#;7$$"1u[(\bGW,#!#:$"1N]dfBZ;T!#:7$$"2Y&4>QurN?!#;$"1LA[[P;#H%!#:7$$"1.17W*>^0#!#:$"1BD.g!=jX%!#:7$$"14>QOKMw?!#:$"2N,j-HK.k%!#;7$$"2(3<M[`l%4#!#;$"1">^*Q!*)G![!#:7$$"1e;L12^:@!#:$"1)fHW\SB*\!#:7$$"2V"Gc_flN@!#;$"1B1e@nvz^!#:7$$"0'>RQ!)yb@!#9$"1F$*yL[Vr`!#:7$$"2xa4>1Ye<#!#;$"1H82m^"oc&!#:7$$"1yb6Vb6&>#!#:$"1)QVTy-(ed!#:7$$"2b18EOYf@#!#;$"0%*z)[_!3(f!#97$$"205?Sk*zNA!#;$"1DP4?`^xh!#:7$$"1'>RyG%pcA!#:$"2:VT)y"G**R'!#;7$$"2<Ig?(*3cF#!#;$"0'QfX'3cg'!#97$$"1v\**QK^'H#!#:$"0nY.*exPo!#97$$"225?S)e`;B!#;$"1=&>O?x\1(!#:7$$"2W$oO$z4lL#!#;$"1J.4J&yjH(!#:7$$"2uZ&4>EPdB!#;$"1Vwq3))>Vv!#:7$$"2/3;K/)ewB!#;$"1y#[!*G/_x(!#:7$$"2%['HfEniR#!#;$"1j_F8=]<!)!#:7$$"1`18ma*zT#!#:$"1ZD2Lqf!H)!#:7$$"2=He;dowV#!#;$"0hO]`aHa)!#97$$"1w^.2!)ydC!#:$"12-Z@>41))!#:7$$"2X'Gda*[#yC!#;$"0TNm.))*y!*!#97$$"2PnMpacq\#!#;$"1$f.."QeM$*!#:7$$"1%yc8$[5<D!#:$"1E&oZ<)47'*!#:7$$"2PnMp]+q`#!#;$"0-r#pjq#*)*!#97$$"1(Qxap#GeD!#:$"2ZOb8Zm)>5!#:7$$"1BY#\Ijqd#!#:$"2QE#p**zOZ5!#:7$$"1RxaHAt)f#!#:$"2Wty[H*oz5!#:7$$"2a3<Mw'G=E!#;$"2=&)RmW/%46!#:7$$"19Gc_\jPE!#:$"2[Y0S)>KR6!#:7$$"2%*yd:ZS%eE!#;$"2DEWleq?<"!#:7$$"1He;`,LzE!#:$"26m$Q@#fb?"!#:7$$"1f<NqmL)p#!#:$"2wnT*fCcO7!#:7$$"2NoOtu?&=F!#;$"2ez'**[y/q7!#:7$$"1W)oPV=#QF!#:$"1(Q]LS)G.8!#97$$"1U$oO$4dfF!#:$"1[S#>/a*R8!#97$$"2vc8FyY!yF!#;$"1bb(\T:AP"!#97$$"2d<Nq'pE*z#!#;$"2)os^-o))49!#:7$$"2uRze0:#>G!#;$"2xl'=6t!fW"!#:7$$"2))pRzYq*QG!#;$"2v_PI$[;#["!#:7$$"2%*)yd&fT(eG!#;$"22wTSjQ!>:!#:7$$"2nNrU*o!*yG!#;$"2."3"[udsb"!#:7$$"2lKlIx"G+H!#;$"1LJ?YvW)f"!#97$$"2d4>QW!))>H!#;$"2[6bn"G$oj"!#:7$$"28@U%[oARH!#;$"2v@zmj3`n"!#:7$$"1:HeOy!*fH!#:$"1Vwt<f3<<!#97$$"/,-/Qa!)H!#8$"2X/!z'3W%f<!#:7$$"#I!""$"$!=!""-%&COLORG6'%$RGBG$""!!""$"('>!\&!")$")C)eq%!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$!#5!""$"#I!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#116"/%%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"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6"

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnZnNvbHZlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNi0tSSVtc3VwR0YkNiUtRiw2JVEieEYnRi9GMi1GIzYlLUkjbW5HRiQ2JFEiM0YnL0YzUSdub3JtYWxGJ0YvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRkYvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRlEvJSlzdHJldGNoeUdGUS8lKnN5bW1ldHJpY0dGUS8lKGxhcmdlb3BHRlEvJS5tb3ZhYmxlbGltaXRzR0ZRLyUnYWNjZW50R0ZRLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGam4tRjs2JUY9LUYjNiUtRkM2JFEiMkYnRkZGL0YyRkgtRkw2LVEiPUYnRkZGT0ZSRlRGVkZYRlpGZm4vRmluUSwwLjI3Nzc3NzhlbUYnL0Zcb0Zoby1GQzYkUSI3RidGRi1GTDYtUSIsRidGRkZPL0ZTRjFGVEZWRlhGWkZmbi9GaW5RJjAuMGVtRicvRlxvUSwwLjMzMzMzMzNlbUYnRj1GZG8tRkM2JFEkMi41RidGRi8lK2V4ZWN1dGFibGVHRlFGRkZGRmhwRkY=

JCIrakAmM0ojISIq

JSFH

Here we see that there is one solution for the equation which is x=LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEsMi4zMTA4NTIxNjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=

2. We can use Maple to evaluate the integral

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInhGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQEY9RkA=

LCQqKCMiIiIiIiNGJSlJI1BpRyUqcHJvdGVjdGVkR0YkRiUtSSRlcmZHNiRGKUkoX3N5c2xpYkc2IjYjSSJ4R0YuRiVGJQ==

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

6+-%'CURVESG6$7dw7$$""!!""$""!!""7$$"2%)oPv]"Gx:!#=$"2G35xr]rd"!#=7$$"1Ryc8dm\H!#<$"0Nb=[5)[H!#;7$$"21;KkGbI\%!#=$"2&\<*zlL+\%!#=7$$"29=OsWvm/'!#=$"2b)eC"=9$Rg!#=7$$"1lIhA:"Hf(!#<$"1flx'4X$yv!#<7$$"16C['Hqk-*!#<$"1LJFi],-!*!#<7$$"2&Hf=PP3^5!#<$"1l/z@eAZ5!#;7$$"2:JiC>(f/7!#<$"2"y#y],'z)>"!#<7$$"2MqS"G$=wN"!#<$"2rw_tOB$\8!#<7$$"2=Pu[P>]^"!#<$"02[eU2N]"!#:7$$"2Gc7DIeOl"!#<$"1#)*fKf2(Q;!#;7$$"2CY#\)*Gt4=!#<$"1-c<h%o,z"!#;7$$"2Qze<N[k'>!#<$"1Z`!*>FRT>!#;7$$"27C['HFZ<@!#<$"1"*f(R$pC'3#!#;7$$"1He;LthaA!#;$"2QQ&>g**)p@#!#<7$$"28He;`&p<C!#<$"1kTm@MSrB!#;7$$"2'>RycT%eb#!#<$"1f.Y&)eE,D!#;7$$"1W([(\Qa;F!#;$"1[F7mT<^E!#;7$$"1)oPvI!zeG!#;$"1MsK^Ky#y#!#;7$$"2Y"He;s&[,$!#<$"1y^zR7&f#H!#;7$$"1:Ig?)pM;$!#;$"2Z`d7]N51$!#<7$$"2/17C[J&=L!#<$"13nK0Mj+K!#;7$$"1C['H\E4Y$!#;$"2.kLZ?qvK$!#<7$$"2'=Pu[(=Xh$!#<$"08z[">4jM!#:7$$"2Y!4=Oz0uP!#<$"2&))=%G(eF-O!#<7$$"2b>RyEPH"R!#<$"2u%epY83AP!#<7$$"1pPv]2$H1%!#;$"2P#\Ix*=+&Q!#<7$$"2kQxap))y@%!#<$"2%R4MAIc!)R!#<7$$"2jKlI"[[pV!#<$"20S%*>mMm5%!#<7$$"2Pze<&=;;X!#<$"2/MieeOqA%!#<7$$"2nQxap@!zY!#<$"2%=]ruY')eV!#<7$$"18Fa3&e`#[!#;$"0bf3a=cZ%!#:7$$"1'Gd9H/;)\!#;$"1*y<EIq%)f%!#;7$$"1OtY$>'=B^!#;$"1mMDqU:3Z!#;7$$"1E_/4E(zF&!#;$"1P-2"ffi#[!#;7$$"1#e;Lc9OU&!#;$"1:)[b@Sc$\!#;7$$"1e<NqB&ed&!#;$"1uxb(fT"[]!#;7$$"1JjE`EpCd!#;$"1Zron:Ic^!#;7$$"1"Rycj90)e!#;$"0(4Aomdn_!#:7$$"1:JiC(*eIg!#;$"0F>g!y$GP&!#:7$$"1sW*)yJ1%='!#;$"0)o&oqH&ya!#:7$$"1(QxazliL'!#;$"1)z_p%QQ"e&!#;7$$"1C['H>ChZ'!#;$"1y2iMT;uc!#;7$$"1)[(\*p<kj'!#;$"1O9yr@Xyd!#;7$$"1lIhAhyzn!#;$"1LV.4!p)pe!#;7$$"13;KknkKp!#;$"1\Re&y*Rlf!#;7$$"1v],.R&*yq!#;$"0A)Q&ee\0'!#:7$$"1Z%*)y<49C(!#;$"1Lv$e-^A:'!#;7$$"1D_/4N3#Q(!#;$"1xPRq8nMi!#;7$$"1He;L,vTv!#;$"0B'zXn;Ej!#:7$$"1">Qw#*oso(!#;$"1^_$=RewS'!#;7$$"0*zf>OWYy!#:$"1Ln.nIt%\'!#;7$$"1"['HfWy$)z!#;$"1-!pv8P"ol!#;7$$"116AW'*>S")!#;$"1>7">-(z\m!#;7$$"1uZ&4**)G"H)!#;$"0"o!Q$osEn!#:7$$"1mLnM'zAW)!#;$"1,p=H[q,o!#;7$$"1w_06[r#f)!#;$"1$=h=6IX(o!#;7$$"1-05?fBP()!#;$"1%))es#=uUp!#;7$$"1e;LmqY$*))!#;$"0A1?inX,(!#:7$$"1AW)onmB/*!#;$"/fc80>"3(!#97$$"1Qw_0l2*>*!#;$"1.wp,mR\r!#;7$$"1Hf=Pm$4M*!#;$"1&z.ZPn%4s!#;7$$"1zf>R'=x\*!#;$"1.i$f%*HSF(!#;7$$"1AW)oZ))yk*!#;$"1LH!z6$4Mt!#;7$$"1C\)pz#p(z*!#;$"13k1a4I#R(!#;7$$"1\(\**)R;a**!#;$"1J!*G&z,8X(!#;7$$"1Fa3nz#)45!#:$"1'z)RPA//v!#;7$$"1.17%Q(eC5!#:$"0v!))Gx[cv!#:7$$"2nNrU`$)3/"!#;$"1-)od"*zDh(!#;7$$"2a3<MOQc0"!#;$"1r"y!3?vhw!#;7$$"2([(\*Rzsq5!#;$"1y/gc+[5x!#;7$$"1:Ig]O2'3"!#:$"1kh*ROY%ex!#;7$$"1sV([Mz,5"!#:$"1/Z!=-\6!y!#;7$$"2\&4>eb@:6!#;$"1)45AHK_%y!#;7$$"2>Pu[JP,8"!#;$"1UJ">iUv)y!#;7$$"129Gc*)4Y6!#:$"1>?w:!\7$z!#;7$$"1MoO8W=g6!#:$"1ZRy9F^oz!#;7$$"22<Mo5Ok<"!#;$"1l")4-,-5!)!#;7$$"24=Os+-6>"!#;$"1/az<'Rh/)!#;7$$"2tZ&4\Jh07!#;$"1s7Ostl!3)!#;7$$"2&3<M)G<7A"!#;$"1XxF::X;")!#;7$$"2(Qxa\X)oB"!#;$"1*o3!**Q/^")!#;7$$"2e=PuVR6D"!#;$"1RQoAWP"=)!#;7$$"2&ze<&\xiE"!#;$"1D=e*3@C@)!#;7$$"*w]5G"!")$"0pj!QNfT#)!#:7$$"1BY#\8lqH"!#:$"1wMM'z$*>F)!#;7$$"2Fa3<-A4J"!#;$"1p"[F"*)H(H)!#;7$$"2'[(\*fr$oK"!#;$"1aD#GC]_K)!#;7$$"2X"HeE#)zT8!#;$"1/-cH8Z]$)!#;7$$"209Gcy9mN"!#;$"1_sRK0Zu$)!#;7$$"2Ryc88V9P"!#;$"1rJB*3UvR)!#;7$$"2W)oP0rc'Q"!#;$"1eH51m7?%)!#;7$$"2;OsWE)f-9!#;$"1o)3Ps`IW)!#;7$$"2&)oPvE(H<9!#;$"1:n[X))=j%)!#;7$$"1D]+rq!=V"!#:$".`o!)eA[)!#87$$"2Db5@"yJZ9!#;$"1T!H;k'y,&)!#;7$$"2AW)o(y%zi9!#;$"/7W2uT?&)!#97$$"2"4=O#H'ow9!#;$"1U&f&ekVO&)!#;7$$"2^.29yTJ\"!#;$"1MmXn1ea&)!#;7$$"2*)yd:(4"p]"!#;$"1@0CTH4p&)!#;7$$"21:Ige:I_"!#;$"/%p')e>`e)!#97$$"0,-/)eQQ:!#9$"1*H%4!\"3+')!#;7$$"2:JiCs4@b"!#;$"12$y?;&o7')!#;7$$"2[&4>=Oan:!#;$"1J*G1@Kii)!#;7$$"2[**)z>)zIe"!#;$"1htArGAR')!#;7$$"2Qw_0=U&)f"!#;$"1Zp$RmK:l)!#;7$$"2sX"Hox(Gh"!#;$"121M?XTi')!#;7$$"2hAX!R9sF;!#;$"1%=k=4kJn)!#;7$$"1kGd%ysIk"!#:$"1k[]g"[Po)!#;7$$"2MqS")*[Pe;!#;$"0>Qs4!y$p)!#:7$$"2.29G+:Tn"!#;$"1GViL9e.()!#;7$$"2%*)yd&*)yzo"!#;$"1L`d#)pz6()!#;7$$"2%ze<bje.<!#;$"1e0J$)pf?()!#;7$$"2E^-0!zD><!#;$"1ku&ohu*G()!#;7$$"2sX"HQ.OM<!#;$"036h'>jO()!#:7$$"1;Kk)zu![<!#:$"10*e"[lCV()!#;7$$"2BY#\=EQk<!#;$"18ra.*42v)!#;7$$"1D]+"[(>y<!#:$"0E:?-0nv)!#:7$$"2v],.XnUz"!#;$"1H6Z^zJj()!#;7$$"2=S!3'4#\3=!#;$"1,$=ixh)o()!#;7$$"2Y#\)py)4C=!#;$"1%yu.%[iu()!#;7$$"2X$pQZ+'*Q=!#;$"1")Hx_f")z()!#;7$$"2"Ryc8iYa=!#;$"1[8!Q=Q\y)!#;7$$"2c6BYr0(o=!#;$"1$yVN^*Q*y)!#;7$$"105?S\1%)=!#:$"/&y?cKRz)!#97$$"2OsW*e)=+!>!#;$"134r)>"Q)z)!#;7$$"2Gb5@z1R">!#;$"1vC@K-/-))!#;7$$"2)4?SSh!*G>!#;$"1(zt1dzd!))!#;7$$"2:Pu[$>SW>!#;$"1B4,:?U4))!#;7$$"1mJjY:cf>!#:$"1XGHP#zF"))!#;7$$"2D^-0DHU(>!#;$"1$Qh**4Ve"))!#;7$$"2=Pu[B:0*>!#;$"1VOQ"RV!>))!#;7$$"1/4=;*[^+#!#:$"1a**>6tu@))!#;7$$"29OsW\t2-#!#;$"1wPo-WYC))!#;7$$"2nOtYoJ\.#!#;$"1sxU`EyE))!#;7$$"2d:JiK5/0#!#;$"1*H'p>)o"H))!#;7$$"2:He;_u\1#!#;$"1L/-p)z7$))!#;7$$"14=O-$)>!3#!#:$"1tV!)**[NL))!#;7$$"1mKlIB3&4#!#:$"1*\OkXg_$))!#;7$$"2DZ%*)GXm5@!#;$"1R4Fh?8P))!#;7$$"2Y%*)yP?nD@!#;$"1H52E>#)Q))!#;7$$"03;KQ>59#!#9$"1Fl_#3U/%))!#;7$$"1sV([kRi:#!#:$"1F")>Pq%>%))!#;7$$"2`6BY[D-<#!#;$"0l3O^XK%))!#:7$$"2=Qw_$[D'=#!#;$"1Jp50*RY%))!#;7$$"2(Rzex;f+A!#;$"1u/ZKp!e%))!#;7$$"1%ze<uxe@#!#:$"19ol>F(p%))!#;7$$"1T"GcX30B#!#:$"12m))[p,[))!#;7$$"1yb6$)RvYA!#:$"1/nW&H*4\))!#;7$$"2d:JiT@3E#!#;$"1c`;&zu*\))!#;7$$"1;Kky!)ywA!#:$"1ob!4H.4&))!#;7$$"1_/4e*R8H#!#:$"0Eh^p#p^))!#:7$$"1KkGFuD2B!#:$"1)*4Frz\_))!#;7$$"2;Gc7^"*4K#!#;$"1^+F@o9`))!#;7$$"2Mu[(HIjOB!#;$"1(zLa5PQ&))!#;7$$"226AW'>u^B!#;$"1*HFEldW&))!#;7$$"0(RzG5%oO#!#9$"12/io_.b))!#;7$$"2.;Kka%)=Q#!#;$"1/v$Q8rb&))!#;7$$"2OoOtlOjR#!#;$"1img-50c))!#;7$$"1*zf>xf>T#!#:$"176D%pLl&))!#;7$$"1v],L(\oU#!#:$"1R_9)3hp&))!#;7$$"1(Rzer?DW#!#:$"1/&fPvyt&))!#;7$$"1E_/HnqcC!#:$"1Z<>T-td))!#;7$$"1JiCH\QsC!#:$"1JrYK74e))!#;7$$"2`2:I">S([#!#;$"1VRLE<Te))!#;7$$"2d7D]M#Q-D!#;$"0#4M`%3(e))!#:7$$"2xg@VYH!=D!#;$"1pj_Cb**e))!#;7$$"017C.TC`#!#9$"1QU(zkS#f))!#;7$$"1OsW\/?ZD!#:$"1y]V8QZf))!#;7$$"2(*)zf*f'\jD!#;$"1o-![o6(f))!#;7$$"2'=PuG9DyD!#;$"0T&Gs0"*f))!#:7$$"2<Qw_+TLf#!#;$"1oO55*)4g))!#;7$$"1['Hfr'o3E!#:$"1$*3+5fFg))!#;7$$"105?5CzAE!#:$"1nx_rlUg))!#;7$$"1)e<NiGyj#!#:$"1N!=xNv0'))!#;7$$"105?!Q]Fl#!#:$"1E9I#z62'))!#;7$$"0/3;-7(oE!#9$"1HI9fi%3'))!#;7$$"1nMpyuz#o#!#:$"/"z<xb4'))!#97$$"1/3;s"\!*p#!#:$"1\#prDs5'))!#;7$$"19Gcs]r8F!#:$"1&QWk&*o6'))!#;7$$"216AW@E#GF!#;$"1fwo^tDh))!#;7$$"2<MoONIQu#!#;$"1XdP5\Mh))!#;7$$"1sV([h(\fF!#:$"1@l,&fD9'))!#;7$$"1>Qw-DvtF!#:$"1:Qd&=$\h))!#;7$$"2F^-0c!*))y#!#;$"1@@yX$f:'))!#;7$$"1LmKDQm.G!#:$"07BPu=;'))!#:7$$"1c7D+#y'>G!#:$"1.bQ4ynh))!#;7$$"2a<Nq3NN$G!#;$"1(yXjyC<'))!#;7$$"2;Qw_A]%\G!#;$"1XmPzVxh))!#;7$$"2xa4>H6W'G!#;$"10B">2<='))!#;7$$"1uZ&4&yAzG!#:$"1B2D&*e&='))!#;7$$"1<Mo'>cS*G!#:$"1C#43d"*='))!#;7$$"1<Nqq,=4H!#:$"1;)Rn$\#>'))!#;7$$"1&**)zH8@DH!#:$"1>wfSs&>'))!#;7$$"2<KkGL5*RH!#;$"1y?c7V)>'))!#;7$$"2#e;LO,UaH!#;$"1Oy(p$)3?'))!#;7$$"2e=Pu(3$*pH!#;$"1Q[**GG.i))!#;7$$"1v],`yS&)H!#:$"1&\oRma?'))!#;7$$"#I!""$"16_f#[t?'))!#;-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%'CURVESG6$7dw7$$""!!""$"#5!""7$$"2%)oPv]"Gx:!#=$"1y>[#\7v***!#;7$$"1Ryc8dm\H!#<$"1b*RgD.8***!#;7$$"21;KkGbI\%!#=$"18$Qt"G$)z**!#;7$$"29=OsWvm/'!#=$"1D)zYZ/N'**!#;7$$"1lIhA:"Hf(!#<$"1j>6lN^U**!#;7$$"16C['Hqk-*!#<$"1P#o2'Q&)=**!#;7$$"2&Hf=PP3^5!#<$"160rA.8!*)*!#;7$$"2:JiC>(f/7!#<$"1di5mA%f&)*!#;7$$"2MqS"G$=wN"!#<$"1*3:%>aP<)*!#;7$$"2=Pu[P>]^"!#<$"1BnHad3t(*!#;7$$"2Gc7DIeOl"!#<$"1CJT^lCI(*!#;7$$"2CY#\)*Gt4=!#<$"1,!Qt&=zx'*!#;7$$"2Qze<N[k'>!#<$"1,?tt"*o?'*!#;7$$"27C['HFZ<@!#<$"16;k/T`h&*!#;7$$"1He;LthaA!#;$"14n%z'QP/&*!#;7$$"28He;`&p<C!#<$"1:8[l-BK%*!#;7$$"2'>RycT%eb#!#<$"11&4"3Zkn$*!#;7$$"1W([(\Qa;F!#;$"1djwZ1h)G*!#;7$$"1)oPvI!zeG!#;$"195UfmB:#*!#;7$$"2Y"He;s&[,$!#<$"1M?&HC[68*!#;7$$"1:Ig?)pM;$!#;$"1Rd^S=pZ!*!#;7$$"2/17C[J&=L!#<$"1>H*p33s&*)!#;7$$"1C['H\E4Y$!#;$"16^TDZ:r))!#;7$$"2'=Pu[(=Xh$!#<$"1zS]^3Fv()!#;7$$"2Y!4=Oz0uP!#<$"1L#G#z!QCn)!#;7$$"2b>RyEPH"R!#<$"0CQ$HmM!e)!#:7$$"1pPv]2$H1%!#;$"1*[b)*34$y%)!#;7$$"2kQxap))y@%!#<$"1"H/$\A@q$)!#;7$$"2jKlI"[[pV!#<$"17c2qR&>E)!#;7$$"2Pze<&=;;X!#<$"12L$3"H(\:)!#;7$$"2nQxap@!zY!#<$"13Q(=#*fP.)!#;7$$"18Fa3&e`#[!#;$"1G3!*olzAz!#;7$$"1'Gd9H/;)\!#;$"1dS907K-y!#;7$$"1OtY$>'=B^!#;$"1f%omb"\"p(!#;7$$"1E_/4E(zF&!#;$"1Me9UKlov!#;7$$"1#e;Lc9OU&!#;$"1@sZ^Fg^u!#;7$$"1e<NqB&ed&!#;$"17.>3?'yK(!#;7$$"1JjE`EpCd!#;$"1p>yf)Rc?(!#;7$$"1"Rycj90)e!#;$"1y9uC!3l2(!#;7$$"1:JiC(*eIg!#;$"1#pv74N6&p!#;7$$"1sW*)yJ1%='!#;$"14(R3<T?#o!#;7$$"1(QxazliL'!#;$"1(3)ov$pKp'!#;7$$"1C['H>ChZ'!#;$"1[&*3G&*Rul!#;7$$"1)[(\*p<kj'!#;$"1*QV$eslPk!#;7$$"1lIhAhyzn!#;$"1xTpnZ,:j!#;7$$"13;KknkKp!#;$"0ZqG$R-%='!#:7$$"1v],.R&*yq!#;$"1f%[d>U&eg!#;7$$"1Z%*)y<49C(!#;$"1vJz;?A>f!#;7$$"1D_/4N3#Q(!#;$"1t8Ph')p)z&!#;7$$"1He;L,vTv!#;$"1&e"y'Ge@m&!#;7$$"1">Qw#*oso(!#;$"1B'zN))e!Qb!#;7$$"0*zf>OWYy!#:$"1rJj(H0GS&!#;7$$"1"['HfWy$)z!#;$"1_EwK'3mG&!#;7$$"116AW'*>S")!#;$"14Z%QtX\:&!#;7$$"1uZ&4**)G"H)!#;$"1[L55MaG]!#;7$$"1mLnM'zAW)!#;$"2X!e:MK3.\!#<7$$"1w_06[r#f)!#;$"2;u[Y3I!zZ!#<7$$"1-05?fBP()!#;$"1@W"GjB3m%!#;7$$"1e;LmqY$*))!#;$"1sTxe[>MX!#;7$$"1AW)onmB/*!#;$"2'Qi^jbq9W!#<7$$"1Qw_0l2*>*!#;$"1/4k2HH!H%!#;7$$"1Hf=Pm$4M*!#;$"11K*3ND*yT!#;7$$"1zf>R'=x\*!#;$"1%f+78.t0%!#;7$$"1AW)oZ))yk*!#;$"2;&=)Q'GJUR!#<7$$"1C\)pz#p(z*!#;$"29vrjdG"HQ!#<7$$"1\(\**)R;a**!#;$"1#en\r&f7P!#;7$$"1Fa3nz#)45!#:$"1)z88!>%og$!#;7$$"1.17%Q(eC5!#:$"1/o+i)\,]$!#;7$$"2nNrU`$)3/"!#;$"1>6'*3#)H%Q$!#;7$$"2a3<MOQc0"!#;$"1UK6"e67G$!#;7$$"2([(\*Rzsq5!#;$"1&yPE$=gxJ!#;7$$"1:Ig]O2'3"!#:$"2L!*>[3_T2$!#<7$$"1sV([Mz,5"!#:$"2EOCrO'z!)H!#<7$$"2\&4>eb@:6!#;$"2nReW>QJ)G!#<7$$"2>Pu[JP,8"!#;$"2'GDZ*4S")y#!#<7$$"129Gc*)4Y6!#:$"1'feZCe')o#!#;7$$"1MoO8W=g6!#:$"2mV(4P/s-E!#<7$$"22<Mo5Ok<"!#;$"1&))4LpPd]#!#;7$$"24=Os+-6>"!#;$"14hlGkA?C!#;7$$"2tZ&4\Jh07!#;$"2")3`k5+vL#!#<7$$"2&3<M)G<7A"!#;$"2umnfJP1D#!#<7$$"2(Qxa\X)oB"!#;$"2k9&[#>4c;#!#<7$$"2e=PuVR6D"!#;$"2i,hwn[,4#!#<7$$"2&ze<&\xiE"!#;$"2G6&pdU*>,#!#<7$$"*w]5G"!")$"2LF&Qe^oP>!#<7$$"1BY#\8lqH"!#:$"1\*z">JJf=!#;7$$"2Fa3<-A4J"!#;$"2c?ED")>Lz"!#<7$$"2'[(\*fr$oK"!#;$"2D]Bt/%f><!#<7$$"2X"HeE#)zT8!#;$"2#y)\Nn!H_;!#<7$$"209Gcy9mN"!#;$"2F=!p"GLve"!#<7$$"2Ryc88V9P"!#;$"2BZp[/&fC:!#<7$$"2W)oP0rc'Q"!#;$"29TG144BY"!#<7$$"2;OsWE)f-9!#;$"2uC)42VO)R"!#<7$$"2&)oPvE(H<9!#;$"27f)o6ueT8!#<7$$"1D]+rq!=V"!#:$"2G,8%3qD(G"!#<7$$"2Db5@"yJZ9!#;$"2Mrrw=O5B"!#<7$$"2AW)o(y%zi9!#;$"2NJ\ds?o<"!#<7$$"2"4=O#H'ow9!#;$"2[[aCaM(H6!#<7$$"2^.29yTJ\"!#;$"2"=6A$z^e2"!#<7$$"2*)yd:(4"p]"!#;$"2")*p'>e:B."!#<7$$"21:Ige:I_"!#;$"1X(>6d@:$)*!#<7$$"0,-/)eQQ:!#9$"1dYd(H='z$*!#<7$$"2:JiCs4@b"!#;$"10Pu&f9,**)!#<7$$"2[&4>=Oan:!#;$"1mKd?/^n&)!#<7$$"2[**)z>)zIe"!#;$"1=cD(3S#e")!#<7$$"2Qw_0=U&)f"!#;$"1k:i>Ygmx!#<7$$"2sX"Hox(Gh"!#;$"1%*))G"[arT(!#<7$$"2hAX!R9sF;!#;$"1d%*HVn")oq!#<7$$"1kGd%ysIk"!#:$"1f'HRBZEs'!#<7$$"2MqS")*[Pe;!#;$"1Q$pc,h9R'!#<7$$"2.29G+:Tn"!#;$"1Xsocf%[1'!#<7$$"2%*)yd&*)yzo"!#;$"2C%)oYLS')y&!#=7$$"2%ze<bje.<!#;$"2DCJRo%>!\&!#=7$$"2E^-0!zD><!#;$"2%Gr>sIX._!#=7$$"2sX"HQ.OM<!#;$"1&ecT^2!R\!#<7$$"1;Kk)zu![<!#:$"1z=I0im3Z!#<7$$"2BY#\=EQk<!#;$"1K],W1`YW!#<7$$"1D]+"[(>y<!#:$"1"4%RDb:MU!#<7$$"2v],.XnUz"!#;$"2llQq5@z*R!#=7$$"2=S!3'4#\3=!#;$"1->%p;(>)z$!#<7$$"2Y#\)py)4C=!#;$"1'Rx;7d))e$!#<7$$"2X$pQZ+'*Q=!#;$"1y:Q>1r)R$!#<7$$"2"Ryc8iYa=!#;$"2EOTUPK&4K!#=7$$"2c6BYr0(o=!#;$"1Wo=:t!Q/$!#<7$$"105?S\1%)=!#:$"217Od#QKtG!#=7$$"2OsW*e)=+!>!#;$"0<"HG3*\q#!#;7$$"2Gb5@z1R">!#;$"2.9hn\Uac#!#=7$$"2)4?SSh!*G>!#;$"27ZBD5_<U#!#=7$$"2:Pu[$>SW>!#;$"2d!QedYn!G#!#=7$$"1mJjY:cf>!#:$"2`!fTX\h\@!#=7$$"2D^-0DHU(>!#;$"20(=6>L4H?!#=7$$"2=Pu[B:0*>!#;$"1PA*)\b@->!#<7$$"1/4=;*[^+#!#:$"1e)e3&)zTz"!#<7$$"29OsW\t2-#!#;$"2#4lH1jz%o"!#=7$$"2nOtYoJ\.#!#;$"2k/f<.y2f"!#=7$$"2d:JiK5/0#!#;$"2$fJ0r))H$\"!#=7$$"2:He;_u\1#!#;$"1iz;QTU19!#<7$$"14=O-$)>!3#!#:$"2#4&>#[QT?8!#=7$$"1mKlIB3&4#!#:$"2,)eg[W&3C"!#=7$$"2DZ%*)GXm5@!#;$"2M9v@nU@;"!#=7$$"2Y%*)yP?nD@!#;$"2#=?v)*pb!4"!#=7$$"03;KQ>59#!#9$"2:7KdjK9-"!#=7$$"1sV([kRi:#!#:$"0X1'>Ljn&*!#<7$$"2`6BY[D-<#!#;$"1:u]T.(e+*!#=7$$"2=Qw_$[D'=#!#;$"1Eh`SCV)R)!#=7$$"2(Rzex;f+A!#;$"1eK\&)H\')y!#=7$$"1%ze<uxe@#!#:$"0=)z)oY;P(!#<7$$"1T"GcX30B#!#:$"2O")Q'3'et!p!#>7$$"1yb6$)RvYA!#:$"2&f+&>'\yAk!#>7$$"2d:JiT@3E#!#;$"1o.^x)f"Gg!#=7$$"1;Kky!)ywA!#:$"1&GY#oE'og&!#=7$$"1_/4e*R8H#!#:$"1OZ"GUliC&!#=7$$"1KkGFuD2B!#:$"0[nt*p'f([!#<7$$"2;Gc7^"*4K#!#;$"/>[0DnvX!#;7$$"2Mu[(HIjOB!#;$"1uJ'y;xTD%!#=7$$"226AW'>u^B!#;$"1.+VTCDjR!#=7$$"0(RzG5%oO#!#9$"1G(3k*)42p$!#=7$$"2.;Kka%)=Q#!#;$"2vo/t!=DOM!#>7$$"2OoOtlOjR#!#;$"2sajb(y'p?$!#>7$$"1*zf>xf>T#!#:$"1%pj]'[)[(H!#=7$$"1v],L(\oU#!#:$"1"4'[UZ3oF!#=7$$"1(Rzer?DW#!#:$"1j^y0irkD!#=7$$"1E_/HnqcC!#:$"1yG^$H?DR#!#=7$$"1JiCH\QsC!#:$"2$*ekQn"f9A!#>7$$"2`2:I">S([#!#;$"21U%H@&Rc0#!#>7$$"2d7D]M#Q-D!#;$"2Vw[Oo%e2>!#>7$$"2xg@VYH!=D!#;$"2.')Hp+pMw"!#>7$$"017C.TC`#!#9$"24U0xTu'R;!#>7$$"1OsW\/?ZD!#:$"2`2(pA!R7_"!#>7$$"2(*)zf*f'\jD!#;$"2G6&Habn*R"!#>7$$"2'=PuG9DyD!#;$"2%4=&4L;uH"!#>7$$"2<Qw_+TLf#!#;$"2d'[?$Q>+?"!#>7$$"1['Hfr'o3E!#:$"2f\)Rfr%z5"!#>7$$"105?5CzAE!#:$"2Vt$e4:8H5!#>7$$"1)e<NiGyj#!#:$"1:'4P#oj3&*!#>7$$"105?!Q]Fl#!#:$"0$=ykc%oy)!#=7$$"0/3;-7(oE!#9$"10,4.eJr!)!#>7$$"1nMpyuz#o#!#:$"1aKlnsF&[(!#>7$$"1/3;s"\!*p#!#:$"1Y"oHN)Reo!#>7$$"19Gcs]r8F!#:$"13#\]t1]L'!#>7$$"216AW@E#GF!#;$"1al`"*=)R&e!#>7$$"2<MoONIQu#!#;$"1"f&HQ_([P&!#>7$$"1sV([h(\fF!#:$"1H:>h$f3$\!#>7$$"1>Qw-DvtF!#:$"1\_pml(ob%!#>7$$"2F^-0c!*))y#!#;$"1EP?(*\'))=%!#>7$$"1LmKDQm.G!#:$"1=VWj3pcQ!#>7$$"1c7D+#y'>G!#:$"1u9zO'eX_$!#>7$$"2a<Nq3NN$G!#;$"2CF&fej**eK!#?7$$"2;Qw_A]%\G!#;$"2W)zh)yrr(H!#?7$$"2xa4>H6W'G!#;$"2$)3&4^;CLF!#?7$$"1uZ&4&yAzG!#:$"2nASDci-^#!#?7$$"1<Mo'>cS*G!#:$"2(Grlw\I/B!#?7$$"1<Nqq,=4H!#:$"1&p5a(>o5@!#>7$$"1&**)zH8@DH!#:$"1h7e$p;A#>!#>7$$"2<KkGL5*RH!#;$"2i(zGX?Wj<!#?7$$"2#e;LO,UaH!#;$"1>j&e5#*)=;!#>7$$"2e=Pu(3$*pH!#;$"2ZW6SngnZ"!#?7$$"1v],`yS&)H!#:$"1unC+7tY8!#>7$$"#I!""$"2czm3/)4M7!#?-%&COLORG6'%$RGBG$""!!""$"('>!\&!")$")C)eq%!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$""!!""$"#I!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"u6"/%'familyGQ!6"/%%sizeGQ#116"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==

JSFH