PHYS 115 - Rec 5 - Solution Key - Travis Hoppe restart: R := 1: V:= 12: C[1] := 1: C[2] := 2: C[3] := 3: deq[1] := V - diff(q[0](t),t)*R - diff(q[1](t),t)*R - q[1](t)/C[1]=0; deq[2] := V - diff(q[0](t),t)*R - diff(q[2](t),t)*R - q[2](t)/C[2]=0; deq[3] := V - diff(q[0](t),t)*R - diff(q[3](t),t)*R - q[3](t)/C[3]=0; deq[4] := diff(q[0](t),t) = diff(q[1](t),t) + diff(q[2](t),t) + diff(q[3](t),t);

LywqIiM3IiIiLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJxRzYiNiMiIiE2I0kidEdGLUYxISIiLUYnNiQtJkYsNiNGJUYwRjFGMkY1RjJGLw==

LywqIiM3IiIiLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJxRzYiNiMiIiE2I0kidEdGLUYxISIiLUYnNiQtJkYsNiMiIiNGMEYxRjJGNSNGMkY4Ri8=

LywqIiM3IiIiLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJxRzYiNiMiIiE2I0kidEdGLUYxISIiLUYnNiQtJkYsNiMiIiRGMEYxRjJGNSNGMkY4Ri8=

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkicUc2IjYjIiIhNiNJInRHRipGLiwoLUYkNiQtJkYpNiMiIiJGLUYuRjUtRiQ2JC0mRik2IyIiI0YtRi5GNS1GJDYkLSZGKTYjIiIkRi1GLkY1

ICS := q[1](0)=0, q[2](0)=0, q[3](0)=0; ODE := deq[i]$i=1..4;

NiUvLSZJInFHNiI2IyIiIjYjIiIhRisvLSZGJjYjIiIjRipGKy8tJkYmNiMiIiRGKkYr

NiYvLCoiIzciIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInFHNiI2IyIiITYjSSJ0R0YuRjIhIiItRig2JC0mRi02I0YmRjFGMkYzRjZGM0YwLywqRiVGJkYnRjMtRig2JC0mRi02IyIiI0YxRjJGM0Y9I0YzRkBGMC8sKkYlRiZGJ0YzLUYoNiQtJkYtNiMiIiRGMUYyRjNGRiNGM0ZJRjAvRicsKEY0RiZGO0YmRkRGJg==

LUklaGVscEc2IjYjUSdkc29sdmVGJA== sol := dsolve({ODE,ICS}): assign(sol); Q := 'Re(evalf(q[i](t)))'$i=1..4: plot( [Q[1],Q[2],Q[3]], t=0..30,title="Charge across each Cap",legend=["Q1","Q2","Q3"]);

6+-%'CURVESG6%7U7$$""!!""$!2Q%H3++j"4"!#@7$$"+DJdpK!#5$"0J&47>U2!*!#:7$$"*DY"Rl!"*$"2e)H>-$3\m"!#;7$$"-vVV)RQ*!#7$"1W3*zQ!eTA!#:7$$"-vVA)GA"!#6$"1egC*4B?v#!#:7$$",v$eui=!#5$"2FVrxIuer$!#;7$$"2.++D'3&o]#!#;$"0Bu,e_<]%!#97$$"-voX*y9$!#6$"1"H!y&yC*e^!#:7$$"2(***\P9CAu$!#;$"1E1y:8P)o&!#:7$$"-v$*zhdV!#6$"/m5$)>avh!#87$$"-v$>fS*\!#6$"2lOd&fG&yi'!#;7$$"-v=$f%Gc!#6$"1c(*)fKdh.(!#:7$$"+Dy,"G'!"*$"1$Rk;,Z)=u!#:7$$",Dr"zbo!#5$"2Dp#ed8sGx!#;7$$"+v4&G](!"*$"0W:c)*310)!#97$$"+Drc_")!"*$"1M2a%*Q/[$)!#:7$$"+D!*oy()!"*$"1t(=kR*f7')!#:7$$"-v$pnsM*!#6$"1aO)QH$pN))!#:7$$",DFOB+"!"*$"1$*H2Ny\"3*!#:7$$"*R5'f5!"($"11HLGSYu#*!#:7$$"2***\P/QBE6!#:$"1A<iC4s#[*!#:7$$"+:o?&="!")$"16[5ghg`'*!#:7$$".vVb4*\7!#6$"1/!RWZnw#)*!#:7$$".DJ'=_68!#6$"0^m^m=8)**!#97$$"-vVy!eP"!#5$"2$zg3X-+85!#:7$$"2,+v=WU[V"!#:$"2o[HTJ$oD5!#:7$$"-DJ#>&)\"!#5$"0>=5t(RQ5!#87$$".v$>:mk:!#6$"1^48X1i]5!#97$$".DcdQAi"!#6$"2fzlNx.01"!#:7$$"-vtLU%o"!#5$"2x)G._KWq5!#:7$$"+bjm[<!")$"2k(H3_t'*z5!#:7$$"-vyb^6=!#5$"2LY3K/1')3"!#:7$$".vVVDB(=!#6$"2GII'>:P'4"!#:7$$"-D6W%)R>!#5$"2P+gghgV5"!#:7$$"2)*****\@80+#!#:$"1Lg>R?,66!#97$$",D6!Hl?!"*$"1(HPxs.w6"!#97$$".v$4w)R7#!#6$"2la&4")Q:B6!#:7$$"2.++vZf")=#!#:$"2Dc4ah%zG6!#:7$$".vV?S&[A!#6$"2Nk!4SLsL6!#:7$$".v=Yb;J#!#6$"1VGEw3^Q6!#97$$"2)****\i@OtB!#:$"2Q5p^'p&G9"!#:7$$".v$fL'zV#!#6$"2E@hn3yq9"!#:7$$"**>=+D!"($"2*p!oNV[3:"!#:7$$"2-+]i_4Qc#!#:$"2GwwlYEW:"!#:7$$".vV>5pi#!#6$"2F1m.b<x:"!#:7$$"2.++]:$*[o#!#:$"2JJ"RW<`g6!#:7$$"2.+]7<[8v#!#:$"2GZdJ^FN;"!#:7$$"2)******Hjy5G!#:$"2w3DWy8g;"!#:7$$"2-+vV!)fT(G!#:$"2VUg]Dy%o6!#:7$$".DcI;[$H!#6$"2:pCP]p1<"!#:7$$"$+$!""$"1EG[)yaG<"!#9-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#Q16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7S7$$""!!""$"2&4v2++%Rf"!#@7$$"*DY"Rl!"*$"1jM]q*oB#>!#:7$$"-vVA)GA"!#6$"2.P'>9EP/N!#;7$$",v$eui=!#5$"10Q#)4vvf^!#:7$$"2.++D'3&o]#!#;$"2llHzmD')o'!#;7$$"-voX*y9$!#6$"1994g%yy2)!#:7$$"2(***\P9CAu$!#;$"0Q<!Qv*fD*!#97$$"-v$*zhdV!#6$"2wN!zq'*QP5!#:7$$"-v$>fS*\!#6$"1$Rp#es5V6!#97$$"-v=$f%Gc!#6$"2=kr5Yj%R7!#:7$$"+Dy,"G'!"*$"2K4vB^N,L"!#:7$$",Dr"zbo!#5$"2[P%z!3-OS"!#:7$$"+v4&G](!"*$"2`5xu\I)z9!#:7$$"+Drc_")!"*$"2sml^F<,b"!#:7$$"+D!*oy()!"*$"1)Gn**RyCh"!#97$$"-v$pnsM*!#6$"1'R#z%pS\m"!#97$$",DFOB+"!"*$"2$Q/3GugA<!#:7$$"*R5'f5!"($"2kxM"\(zxw"!#:7$$"2***\P/QBE6!#:$"2l!)yO$)Qk"=!#:7$$"+:o?&="!")$"2DZ(ep%)Hc=!#:7$$".vVb4*\7!#6$"1"eTB'4%o*=!#97$$".DJ'=_68!#6$"1%Qzk#[eK>!#97$$"-vVy!eP"!#5$"1uX<,o8n>!#97$$"2,+v=WU[V"!#:$"1GR!=y%e'*>!#97$$"-DJ#>&)\"!#5$"1wUA=T3E?!#97$$".v$>:mk:!#6$"21+jH([Ua?!#:7$$".DcdQAi"!#6$"1y*e;sGt2#!#97$$"-vtLU%o"!#5$"2j%)RTk`.5#!#:7$$"+bjm[<!")$"2bLq0H3C7#!#:7$$"-vyb^6=!#5$"2/vj"HlSU@!#:7$$".vVVDB(=!#6$"2.bQ6))y.;#!#:7$$"-D6W%)R>!#5$"2YU[3([')y@!#:7$$"2)*****\@80+#!#:$"2:xwZ"HD%>#!#:7$$",D6!Hl?!"*$"2P.Glg+&4A!#:7$$".v$4w)R7#!#6$"18_^gvLAA!#97$$"2.++vZf")=#!#:$"2k')\>x#QNA!#:7$$".vV?S&[A!#6$"2c(R@6/yYA!#:7$$".v=Yb;J#!#6$"2<)y%y"3&yD#!#:7$$"2)****\i@OtB!#:$"2dldv))**yE#!#:7$$".v$fL'zV#!#6$"2bjC0bfwF#!#:7$$"**>=+D!"($"201TrjwjG#!#:7$$"2-+]i_4Qc#!#:$"14m=G)[YH#!#97$$".vV>5pi#!#6$"1r'G!3uD-B!#97$$"2.++]:$*[o#!#:$"1Re.SLw3B!#97$$"2.+]7<[8v#!#:$"2B'y<<*)o:B!#:7$$"2)******Hjy5G!#:$"10M"ybO9K#!#97$$"2-+vV!)fT(G!#:$"1%R>7tLrK#!#97$$".DcI;[$H!#6$"1"*=.R#*>KB!#97$$"$+$!""$"22xLl"4DPB!#:-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#Q26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6%7S7$$""!!""$"1,mM***f2J#!#?7$$"*DY"Rl!"*$"2)*>W'pEl??!#;7$$"-vVA)GA"!#6$"2%*)4:4]"H#Q!#;7$$",v$eui=!#5$"1$=0Hepq$e!#:7$$"2.++D'3&o]#!#;$"1TX7v196y!#:7$$"-voX*y9$!#6$"1ab*Gvx!)p*!#:7$$"2(***\P9CAu$!#;$"2rK'=&3Lm8"!#:7$$"-v$*zhdV!#6$"2jjb;9_0I"!#:7$$"-v$>fS*\!#6$"2i#e;PCUg9!#:7$$"-v=$f%Gc!#6$"2$>7/I$e+h"!#:7$$"+Dy,"G'!"*$"2F'>38:4a<!#:7$$",Dr"zbo!#5$"1G)*3AJ%H(=!#97$$"+v4&G](!"*$"1@>"pYa")*>!#97$$"+Drc_")!"*$"28Hbg0%=:@!#:7$$"+D!*oy()!"*$"1$>&[>*y,A#!#97$$"-v$pnsM*!#6$"1JDt]=G4B!#97$$",DFOB+"!"*$"2u&Q>yw'zS#!#:7$$"*R5'f5!"($"2ZX>*Rnw&[#!#:7$$"2***\P/QBE6!#:$"1k"f]K5+d#!#97$$"+:o?&="!")$"2cxIZtE$RE!#:7$$".vVb4*\7!#6$"1OI@cg35F!#97$$".DJ'=_68!#6$"2&GzrQFmsF!#:7$$"-vVy!eP"!#5$"1Z8tFlILG!#97$$"2,+v=WU[V"!#:$"2$o*>?E*4&)G!#:7$$"-DJ#>&)\"!#5$"2d#R0G52PH!#:7$$".v$>:mk:!#6$"2$z(4")\wq)H!#:7$$".DcdQAi"!#6$"0@*o*)o`FI!#87$$"-vtLU%o"!#5$"2yTUM*)\#oI!#:7$$"+bjm[<!")$"2j,5I*)zs5$!#:7$$"-vyb^6=!#5$"2(eWQ^`pUJ!#:7$$".vVVDB(=!#6$"1NQ\+5auJ!#97$$"-D6W%)R>!#5$"08t"RDJ2K!#87$$"2)*****\@80+#!#:$"2;H$p%*HgMK!#:7$$",D6!Hl?!"*$"1RXoAKlhK!#97$$".v$4w)R7#!#6$"1([&RrEV%G$!#97$$"2.++vZf")=#!#:$"1$H'z&p'e2L!#97$$".vV?S&[A!#6$"2X)GpU,#yK$!#:7$$".v=Yb;J#!#6$"0b?CjvuM$!#87$$"2)****\i@OtB!#:$"1jq<'**>`O$!#97$$".v$fL'zV#!#6$"1fm0(G_EQ$!#97$$"**>=+D!"($"12HW=W8)R$!#97$$"2-+]i_4Qc#!#:$"10_aXu#GT$!#97$$".vV>5pi#!#6$"1:ss#eUjU$!#97$$"2.++]:$*[o#!#:$"16&Gnj**yV$!#97$$"2.+]7<[8v#!#:$"19m%Gk--X$!#97$$"2)******Hjy5G!#:$"1m$yHW8/Y$!#97$$"2-+vV!)fT(G!#:$"1X*)om[`qM!#97$$".DcI;[$H!#6$"1TR%>IM&zM!#97$$"$+$!""$"1zo7T$4&)[$!#9-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#Q36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*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'normal6"-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%%VIEWG6$;$""!!""$"$+$!""%(DEFAULTG-%+AXESLABELSG6'I"tG6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q7Charge~across~each~Cap6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$?$!""-%)BOUNDS_YG6#$"$S#!""-%-BOUNDS_WIDTHG6#$"%]N!""-%.BOUNDS_HEIGHTG6#$"%!4$!""-%)CHILDRENG6"

VC := 'Re(evalf(q[i](t)))/C[i]' $i=1..3: plot( [VC[1],VC[2],VC[3]], t=0..30,title="Potential across each Cap",legend=["C1","C2","C3"]);

6+-%'CURVESG6%7U7$$""!!""$!2Q%H3++j"4"!#@7$$"+DJdpK!#5$"0J&47>U2!*!#:7$$"*DY"Rl!"*$"2e)H>-$3\m"!#;7$$"-vVV)RQ*!#7$"1W3*zQ!eTA!#:7$$"-vVA)GA"!#6$"1egC*4B?v#!#:7$$",v$eui=!#5$"2FVrxIuer$!#;7$$"2.++D'3&o]#!#;$"0Bu,e_<]%!#97$$"-voX*y9$!#6$"1"H!y&yC*e^!#:7$$"2(***\P9CAu$!#;$"1E1y:8P)o&!#:7$$"-v$*zhdV!#6$"/m5$)>avh!#87$$"-v$>fS*\!#6$"2lOd&fG&yi'!#;7$$"-v=$f%Gc!#6$"1c(*)fKdh.(!#:7$$"+Dy,"G'!"*$"1$Rk;,Z)=u!#:7$$",Dr"zbo!#5$"2Dp#ed8sGx!#;7$$"+v4&G](!"*$"0W:c)*310)!#97$$"+Drc_")!"*$"1M2a%*Q/[$)!#:7$$"+D!*oy()!"*$"1t(=kR*f7')!#:7$$"-v$pnsM*!#6$"1aO)QH$pN))!#:7$$",DFOB+"!"*$"1$*H2Ny\"3*!#:7$$"*R5'f5!"($"11HLGSYu#*!#:7$$"2***\P/QBE6!#:$"1A<iC4s#[*!#:7$$"+:o?&="!")$"16[5ghg`'*!#:7$$".vVb4*\7!#6$"1/!RWZnw#)*!#:7$$".DJ'=_68!#6$"0^m^m=8)**!#97$$"-vVy!eP"!#5$"2$zg3X-+85!#:7$$"2,+v=WU[V"!#:$"2o[HTJ$oD5!#:7$$"-DJ#>&)\"!#5$"0>=5t(RQ5!#87$$".v$>:mk:!#6$"1^48X1i]5!#97$$".DcdQAi"!#6$"2fzlNx.01"!#:7$$"-vtLU%o"!#5$"2x)G._KWq5!#:7$$"+bjm[<!")$"2k(H3_t'*z5!#:7$$"-vyb^6=!#5$"2LY3K/1')3"!#:7$$".vVVDB(=!#6$"2GII'>:P'4"!#:7$$"-D6W%)R>!#5$"2P+gghgV5"!#:7$$"2)*****\@80+#!#:$"1Lg>R?,66!#97$$",D6!Hl?!"*$"1(HPxs.w6"!#97$$".v$4w)R7#!#6$"2la&4")Q:B6!#:7$$"2.++vZf")=#!#:$"2Dc4ah%zG6!#:7$$".vV?S&[A!#6$"2Nk!4SLsL6!#:7$$".v=Yb;J#!#6$"1VGEw3^Q6!#97$$"2)****\i@OtB!#:$"2Q5p^'p&G9"!#:7$$".v$fL'zV#!#6$"2E@hn3yq9"!#:7$$"**>=+D!"($"2*p!oNV[3:"!#:7$$"2-+]i_4Qc#!#:$"2GwwlYEW:"!#:7$$".vV>5pi#!#6$"2F1m.b<x:"!#:7$$"2.++]:$*[o#!#:$"2JJ"RW<`g6!#:7$$"2.+]7<[8v#!#:$"2GZdJ^FN;"!#:7$$"2)******Hjy5G!#:$"2w3DWy8g;"!#:7$$"2-+vV!)fT(G!#:$"2VUg]Dy%o6!#:7$$".DcI;[$H!#6$"2:pCP]p1<"!#:7$$"$+$!""$"1EG[)yaG<"!#9-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#C16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7S7$$""!!""$"1ZvQ++qpz!#@7$$"*DY"Rl!"*$"1:t^_[%=h*!#;7$$"-vVA)GA"!#6$"2^=)42j=_<!#;7$$",v$eui=!#5$"2F!>"\vy)zD!#;7$$"2.++D'3&o]#!#;$"2$G['R$GJWL!#;7$$"-voX*y9$!#6$"12d/I#R*QS!#:7$$"2(***\P9CAu$!#;$"0p3!p()*zi%!#97$$"-v$*zhdV!#6$"1)y^RN[p=&!#:7$$"-v$>fS*\!#6$"1lpM"HObr&!#:7$$"-v=$f%Gc!#6$"14#e`I<t>'!#:7$$"+Dy,"G'!"*$"1ma(=cx1l'!#:7$$",Dr"zbo!#5$"1u=(RS5!=q!#:7$$"+v4&G](!"*$"2m_&Q([_"*R(!#;7$$"+Drc_")!"*$"1O$GeP'e]x!#:7$$"+D!*oy()!"*$"0WO)**>Ri!)!#97$$"-v$pnsM*!#6$"0)>'RZ.ZK)!#97$$",DFOB+"!"*$"1">-/9PIh)!#:7$$"*R5'f5!"($"1#)QnX()*)Q))!#:7$$"2***\P/QBE6!#:$"1KSRoT>#3*!#:7$$"+:o?&="!")$"1jt$zM#\"G*!#:7$$".vVb4*\7!#6$"10zq6[?%[*!#:7$$".DJ'=_68!#6$"0#pRKT#Hm*!#97$$"-vVy!eP"!#5$"0(G(e+%oN)*!#97$$"2,+v=WU[V"!#:$"0k>!4R#H)**!#97$$"-DJ#>&)\"!#5$"1Q@6f?/85!#97$$".v$>:mk:!#6$"2.]"[OC@F5!#:7$$".DcdQAi"!#6$"1*[H3Ok'Q5!#97$$"-vtLU%o"!#5$"2K#*p?#o<]5!#:7$$"+bjm[<!")$"2y;&GXT?h5!#:7$$"-vyb^6=!#5$"2_(=ekK?r5!#:7$$".vVVDB(=!#6$"2^Fp0W*=!3"!#:7$$"-D6W%)R>!#5$"2B@CaVK%*3"!#:7$$"2)*****\@80+#!#:$"2dQ)Qdk7(4"!#:7$$",D6!Hl?!"*$"2p,kKI]Z5"!#:7$$".v$4w)R7#!#6$"2kgd-yo66"!#:7$$"2.++vZf")=#!#:$"2K$\(fQ"p<6!#:7$$".vV?S&[A!#6$"2y)pg0-RB6!#:7$$".v=Yb;J#!#6$"23%R#*3a#*G6!#:7$$"2)****\i@OtB!#:$"2z#)yP%*\R8"!#:7$$".v$fL'zV#!#6$"2yJi_xH)Q6!#:7$$"**>=+D!"($"2.`q&=$)=V6!#:7$$"2-+]i_4Qc#!#:$"2WI$49WKZ6!#:7$$".vV>5pi#!#6$"2bL9SqG6:"!#:7$$"2.++]:$*[o#!#:$"2%>z,q;Qa6!#:7$$"2.+]7<[8v#!#:$"26$*)eeW%y:"!#:7$$"2)******Hjy5G!#:$"2Dq1*y#=2;"!#:7$$"2-+vV!)fT(G!#:$"1(p4c'ocj6!#97$$".DcI;[$H!#6$"2c%f^>'*4m6!#:7$$"$+$!""$"2a)oEeaio6!#:-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#C26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6%7S7$$""!!""$"0Z@=LLDq(!#?7$$"*DY"Rl!"*$"10S"))*)3bt'!#;7$$"-vVA)GA"!#6$"20L]I+0VF"!#;7$$",v$eui=!#5$"1&Ro4')*oX>!#:7$$"2.++D'3&o]#!#;$"2w%[PeNr.E!#;7$$"-voX*y9$!#6$"1=&)H%e#pKK!#:7$$"2(***\P9CAu$!#;$"224@1&px)y$!#;7$$"-v$*zhdV!#6$"1)y=b!Q<NV!#:7$$"-v$>fS*\!#6$"1aFb!zu!o[!#:7$$"-v=$f%Gc!#6$"1)RP,5hoO&!#:7$$"+Dy,"G'!"*$"14KF5<(p%e!#:7$$",Dr"zbo!#5$"1F%*HSP9Vi!#:7$$"+v4&G](!"*$"1/kq*)[^gm!#:7$$"+Drc_")!"*$"10V=?Nh]q!#:7$$"+D!*oy()!"*$"1xRG)R'f+u!#:7$$"-v$pnsM*!#6$"1O%3"phg(p(!#:7$$",DFOB+"!"*$"1fGJF*el-)!#:7$$"*R5'f5!"($"1\[1L"*)eG)!#:7$$"2***\P/QBE6!#:$"1Y0`$3,nc)!#:7$$"+:o?&="!")$"1<fV#ybxz)!#:7$$".vVb4*\7!#6$"1(ywt=?O.*!#:7$$".DJ'=_68!#6$"1j(f!H"4AC*!#:7$$"-vVy!eP"!#5$"1ByV#4bVW*!#:7$$"2,+v=WU[V"!#:$"1il1Sv*ph*!#:7$$"-DJ#>&)\"!#5$"1_(z,wO-z*!#:7$$".v$>:mk:!#6$"1KfOg;#p&**!#:7$$".DcdQAi"!#6$"2ntHK'*y"45!#:7$$"-vtLU%o"!#5$"113[k*\F-"!#97$$"+bjm[<!")$"2AnOV'*fd."!#:7$$"-vyb^6=!#5$"2H:Gr6lv/"!#:7$$".vVVDB(=!#6$"1Xz\L.=e5!#97$$"-D6W%)R>!#5$"2mPC(zT5p5!#:7$$"2)*****\@80+#!#:$"2t4J#)*4?y5!#:7$$",D6!Hl?!"*$"2l%[*3u<s3"!#:7$$".v$4w)R7#!#6$"2C;l/*3"[4"!#:7$$"2.++vZf")=#!#:$"2Vw)f)*)GD5"!#:7$$".vV?S&[A!#6$"2#Gw*3Qt#46!#:7$$".v=Yb;J#!#6$"0&o!3@De6"!#87$$"2)****\i@OtB!#:$"26-f?Lt<7"!#:7$$".v$fL'zV#!#6$"2(>ANi2bF6!#:7$$"**>=+D!"($"2BI9GZ6F8"!#:7$$"2-+]i_4Qc#!#:$"2$o]^["4w8"!#:7$$".vV>5pi#!#6$"2_SUU>9@9"!#:7$$"2.++]:$*[o#!#:$"2.<wbamf9"!#:7$$"2.+]7<[8v#!#:$"2"QbhZv1]6!#:7$$"2)******Hjy5G!#:$"2aXfw9rM:"!#:7$$"2-+vV!)fT(G!#:$"2<)Hcb\%o:"!#:7$$".DcI;[$H!#6$"2pk9twW)f6!#:7$$"$+$!""$"1$HUqWOG;"!#9-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#C36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*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'normal6"-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%%VIEWG6$;$""!!""$"$+$!""%(DEFAULTG-%+AXESLABELSG6'I"tG6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q:Potential~across~each~Cap6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$?$!""-%)BOUNDS_YG6#$"$S#!""-%-BOUNDS_WIDTHG6#$"%]N!""-%.BOUNDS_HEIGHTG6#$"%!4$!""-%)CHILDRENG6"

IC := 'Re(evalf(diff(q[i](t),t)))' $i=1..3: I0 := IC[1] + IC[2] + IC[3]: plot( [I0, IC], t=0..15,title="Current across each Res.",legend=["I0","I1","I2","I3"]);

6,-%'CURVESG6%7S7$$""!!""$"#!*!""7$$"+DJdpK!#5$"1a#oge"3q&)!#:7$$"-v=7T9h!#7$"1Yms^VjC#)!#:7$$",v=HPJ*!#6$"1%*G!o(4=jy!#:7$$"-DJaU`7!#6$"1^^aJ")>Cv!#:7$$".vVGZRd"!#7$"1C\=FuC3s!#:7$$".v=276(=!#7$"1@*QXwp?$p!#:7$$".vo**3)y@!#7$"1a#*y-2>hm!#:7$$".vofHq\#!#7$"07+$f!QbR'!#97$$".v$f'HU"G!#7$"1jma=%))R9'!#:7$$",D"*309$!#5$"1$ejp>(z(*e!#:7$$"-Dce*yU$!#6$"0fu`(3l!p&!#97$$",v[D9v$!#5$"1uL(pg4vY&!#:7$$",Dc$GwS!#5$"1DyYexU`_!#:7$$",D^W$*Q%!#5$"2:&)p<7_f0&!#;7$$".vo%QjtY!#7$"2bXFw(zo$)[!#;7$$",DO"o6]!#5$"19A4$p,ro%!#:7$$"*&>0)H&!")$"1NDYGT@FX!#:7$$".v=-p6j&!#7$"1$o7Al%\[V!#:7$$"+vS.Ef!"*$"1d`Yha]'>%!#:7$$".v=xZ&\i!#7$"0&*RB2Lh.%!#97$$".DcJ4wb'!#7$"20_&H/xM*)Q!#;7$$"-v=#R!zo!#6$"0K?^@x?u$!#97$$".v$4A@ur!#7$"1RZj(=.>h$!#:7$$"-Dchf#\(!#6$"13y2#))*pwM!#:7$$".vof2L#y!#7$"2n-]b;V<M$!#;7$$".D"yG>6")!#7$"1T=FjPiGK!#:7$$"-voo6A%)!#6$"1P!Hw"y#36$!#:7$$"+v<LV()!"*$"2F7:`S=P*H!#;7$$"-v$*ydd!*!#6$"2nP>v1zM)G!#;7$$".v=<F;O*!#7$"2N![")pCt!y#!#;7$$"-Dc?A*p*!#6$"294IM+$)4n#!#;7$$",vgc-+"!"*$"1:d?fh5wD!#:7$$"-Dc]kK5!#5$"2W(**QXkbyC!#;7$$"/vo/Q*>1"!#7$"231nib#Q$R#!#;7$$"-vQ(zS4"!#5$"1Ov9Rcj.B!#:7$$"/v=-,FC6!#7$"2N4">4pGAA!#;7$$"/v$4tFe:"!#7$"11w<]>MS@!#:7$$"-D"3"o'="!#5$"2O%)HV+kJ1#!#;7$$"/voz;)*=7!#7$"1h*y4%3O&)>!#:7$$"+&*44]7!")$"2$zgXoY@8>!#;7$$".DJw/>G"!#6$"2A$)edbc@%=!#;7$$"/v=(4bMJ"!#7$"2dd&f1KIu<!#;7$$",vdYCM"!"*$"2(Qrw;h;9<!#;7$$".Dc3ucP"!#6$"2x!GD.CvZ;!#;7$$"+lJR09!")$"2XF"p"=S0f"!#;7$$"/v=-*zqV"!#7$"23AZ)\>tJ:!#;7$$"/D"G:3uY"!#7$"214OfC([x9!#;7$$"$]"!""$"2&fGAxyL@9!#;-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#I06"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*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'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7W7$$""!!""$"#I!""7$$",Dc'yM;!#6$"1(=W$328]F!#:7$$"+DJdpK!#5$"0T%pt(o"HD!#97$$".v=<#*>p%!#8$"2:P>a%)4wN#!#;7$$"-v=7T9h!#7$"2D>f4!f5.A!#;7$$".DJ?qSr(!#8$"1@Ti***>u/#!#:7$$",v=HPJ*!#6$"29w>cSC'3>!#;7$$"+v"*R#4"!"*$"2QSdNG)*Qy"!#;7$$"-DJaU`7!#6$"2e?mvH*Qs;!#;7$$".vVGZRd"!#7$"2%=MW')\j$["!#;7$$".v=276(=!#7$"1w8/.K#3M"!#:7$$".vo**3)y@!#7$"1M^$o#)R&=7!#:7$$".vofHq\#!#7$"2.[mp[LO6"!#;7$$".v$f'HU"G!#7$"2sF^4L/i-"!#;7$$",D"*309$!#5$"1Cvg1c#H]*!#;7$$"-Dce*yU$!#6$"0FS\aqy#*)!#:7$$",v[D9v$!#5$"1kN%3&4=k$)!#;7$$",Dc$GwS!#5$"01w*Q\&)py!#:7$$",D^W$*Q%!#5$"1bzJ,T8[u!#;7$$".vo%QjtY!#7$"1.,oZC;.r!#;7$$",DO"o6]!#5$"1x/$oW'oJn!#;7$$"*&>0)H&!")$"1"p<jgwWW'!#;7$$".v=-p6j&!#7$"1j&3YToo8'!#;7$$"+vS.Ef!"*$"0Xf&>U![)e!#:7$$".v=xZ&\i!#7$"1:,z9x"pi&!#;7$$".DcJ4wb'!#7$"/dWC35(R&!#97$$"-v=#R!zo!#6$"1j*4qE@;<&!#;7$$".v$4A@ur!#7$"1%)H(*Rx'f(\!#;7$$"-Dchf#\(!#6$"22v.L:sex%!#<7$$".vof2L#y!#7$"1hhi'po)yX!#;7$$".D"yG>6")!#7$"2cu'GSfb:W!#<7$$"-voo6A%)!#6$"18?\jt,ZU!#;7$$"+v<LV()!"*$"1,g"=l233%!#;7$$"-v$*ydd!*!#6$"2c+LyY=a#R!#<7$$".v=<F;O*!#7$"1UgV6&49y$!#;7$$"-Dc?A*p*!#6$"1D%Qzm^$GO!#;7$$",vgc-+"!"*$"1'zqNj)f'\$!#;7$$"-Dc]kK5!#5$"1\Y`@bhhL!#;7$$"/vo/Q*>1"!#7$"1*y)*)RR6WK!#;7$$"-vQ(zS4"!#5$"2Xb@&[bi?J!#<7$$"/v=-,FC6!#7$"1R#\y")\*3I!#;7$$"/v$4tFe:"!#7$"28pu=Zym*G!#<7$$"-D"3"o'="!#5$"1.P6mP7"z#!#;7$$"/voz;)*=7!#7$"2u!4^a#z[o#!#<7$$"+&*44]7!")$"2kY3F$[\'e#!#<7$$".DJw/>G"!#6$"2`9"\<.r*[#!#<7$$"/v=(4bMJ"!#7$"1%*)o/]*Q(R#!#;7$$",vdYCM"!"*$"2AF=%*fTcJ#!#<7$$".Dc3ucP"!#6$"1sHj-jVDA!#;7$$"+lJR09!")$"1RU7!3(yZ@!#;7$$"/v=-*zqV"!#7$"18-*p#Q-o?!#;7$$"/D"G:3uY"!#7$"2Cy2$zP\%*>!#<7$$"$]"!""$"2<rhD'GU=>!#<-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#I16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*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'normal6"-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6%7S7$$""!!""$"#I!""7$$"+DJdpK!#5$"1L,,8<pVH!#:7$$"-v=7T9h!#7$"1rTp5^7vG!#:7$$",v=HPJ*!#6$"2jb)zm>!Qy#!#;7$$"-DJaU`7!#6$"1>[=b!yDo#!#:7$$".vVGZRd"!#7$"2E]OneLqd#!#;7$$".v=276(=!#7$"2lY4G_&oxC!#;7$$".vo**3)y@!#7$"2;*f;40FvB!#;7$$".vofHq\#!#7$"1Uz!Gj)HrA!#:7$$".v$f'HU"G!#7$"1x%>#fkkq@!#:7$$",D"*309$!#5$"2MjRHQ542#!#;7$$"-Dce*yU$!#6$"2E^'*p"*zl)>!#;7$$",v[D9v$!#5$"1OGK&4nd*=!#:7$$",Dc$GwS!#5$"2duI$3h-4=!#;7$$",D^W$*Q%!#5$"2$y<1oGgH<!#;7$$".vo%QjtY!#7$"1xx?s?$4m"!#:7$$",DO"o6]!#5$"2i@!oUeR$e"!#;7$$"*&>0)H&!")$"1_AVQF1@:!#:7$$".v=-p6j&!#7$"1-l+9DA_9!#:7$$"+vS.Ef!"*$"2#y8>QRS%R"!#;7$$".v=xZ&\i!#7$"29fHQYRTL"!#;7$$".DcJ4wb'!#7$"1`ybwulz7!#:7$$"-v=#R!zo!#6$"2uvJ[oXcA"!#;7$$".v$4A@ur!#7$"2CC]QiT%y6!#;7$$"-Dchf#\(!#6$"2'HmB!HR*H6!#;7$$".vof2L#y!#7$"22qJp[Z?3"!#;7$$".D"yG>6")!#7$"1UF`VgHU5!#:7$$"-voo6A%)!#6$"2[4i5co7+"!#;7$$"+v<LV()!"*$"1:)R</#R3'*!#;7$$"-v$*ydd!*!#6$"1Kom'*R'4B*!#;7$$".v=<F;O*!#7$"1*>HxpG=)))!#;7$$"-Dc?A*p*!#6$"1CqR78f6&)!#;7$$",vgc-+"!"*$"1DQfd2n$>)!#;7$$"-Dc]kK5!#5$"0a!fo6xoy!#:7$$"/vo/Q*>1"!#7$"1hJQ<bl'e(!#;7$$"-vQ(zS4"!#5$"1"*=5im*3H(!#;7$$"/v=-,FC6!#7$"1CPPiS3Cq!#;7$$"/v$4tFe:"!#7$"1>')z8qZcn!#;7$$"-D"3"o'="!#5$"1wY'Ho]a]'!#;7$$"/voz;)*=7!#7$"03GDzMLD'!#:7$$"+&*44]7!")$"1A0)[X`.-'!#;7$$".DJw/>G"!#6$"1xsX\>g"z&!#;7$$"/v=(4bMJ"!#7$"1(y_A*eztb!#;7$$",vdYCM"!"*$"1eBiqaC"Q&!#;7$$".Dc3ucP"!#6$"1RiOi<5p^!#;7$$"+lJR09!")$"1c#)36>v')\!#;7$$"/v=-*zqV"!#7$"1(fag*=o*z%!#;7$$"/D"G:3uY"!#7$"2dl4["4WFY!#<7$$"$]"!""$"2%f*RSy]%\W!#<-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#I26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*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'normal6"-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6%7W7$$""!!""$"#I!""7$$"+DJdpK!#5$"0rj$*4@s4$!#97$$".v=<#*>p%!#8$"1e7u,%\a7$!#:7$$"-v=7T9h!#7$"1$Gt+M.k9$!#:7$$".DJ?qSr(!#8$"0"[l@'=A;$!#97$$",v=HPJ*!#6$"2nd%Q/YvqJ!#;7$$"+v"*R#4"!"*$"1HdO21'G<$!#:7$$"-DJaU`7!#6$"2j7%zy2BpJ!#;7$$"/D"yN'o89!#8$"2M2qVP/1;$!#;7$$".vVGZRd"!#7$"2M+0S&)yv9$!#;7$$".v=276(=!#7$"2)y!)oQ5c8J!#;7$$".vo**3)y@!#7$"2)G")ym.QnI!#;7$$".vofHq\#!#7$"1(pD&Rfg5I!#:7$$".v$f'HU"G!#7$"2)3fPGw8ZH!#;7$$",D"*309$!#5$"2u>jLD%fwG!#;7$$"-Dce*yU$!#6$"2.0%)Q!RG6G!#;7$$",v[D9v$!#5$"2B=mlTC`t#!#;7$$",Dc$GwS!#5$"1t%Ri:;ul#!#:7$$",D^W$*Q%!#5$"2uFwN%e`"e#!#;7$$".vo%QjtY!#7$"1o;lg'RC^#!#:7$$",DO"o6]!#5$"0&*Gd?P0V#!#97$$"*&>0)H&!")$"2N^)RHPqhB!#;7$$".v=-p6j&!#7$"1D`u'H&e#G#!#:7$$"+vS.Ef!"*$"1M!=85@O@#!#:7$$".v=xZ&\i!#7$"1Z8.P=IR@!#:7$$".DcJ4wb'!#7$"2x4$HX,)*p?!#;7$$"-v=#R!zo!#6$"1mve.%p#**>!#:7$$".v$4A@ur!#7$"2$)>(y*yke$>!#;7$$"-Dchf#\(!#6$"2O!3^wL<p=!#;7$$".vof2L#y!#7$"0rb*3)3=!=!#97$$".D"yG>6")!#7$"2XU5d7sZu"!#;7$$"-voo6A%)!#6$"27u<-_d[o"!#;7$$"+v<LV()!"*$"1T&ffV)zC;!#:7$$"-v$*ydd!*!#6$"2GRp5#3%yc"!#;7$$".v=<F;O*!#7$"2$z#)*)['3W^"!#;7$$"-Dc?A*p*!#6$"2na'R0())pX"!#;7$$",vgc-+"!"*$"1`#*3?#zqS"!#:7$$"-Dc]kK5!#5$"2`Xxjx<bN"!#;7$$"/vo/Q*>1"!#7$"2b')Q0h0.J"!#;7$$"-vQ(zS4"!#5$"29>&3=M[i7!#;7$$"/v=-,FC6!#7$"1(zo6_$)*=7!#:7$$"/v$4tFe:"!#7$"2_F5;SE]<"!#;7$$"-D"3"o'="!#5$"2d+A%fl]L6!#;7$$"/voz;)*=7!#7$"2B1viVR:4"!#;7$$"+&*44]7!")$"20=(pR)HD0"!#;7$$".DJw/>G"!#6$"0*R1H`-95!#97$$"/v=(4bMJ"!#7$"1xSBtm%=x*!#;7$$",vdYCM"!"*$"1e2j(4uZW*!#;7$$".Dc3ucP"!#6$"1l)Gv'f)H3*!#;7$$"+lJR09!")$"0D+d#G'3x)!#:7$$"/v=-*zqV"!#7$"1)RFax8'\%)!#;7$$"/D"G:3uY"!#7$"1oMClx$H:)!#;7$$"$]"!""$"1DpiD^]Xy!#;-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q#I36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*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'normal6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"$]"!""%(DEFAULTG-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ!6"/%%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%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q9Current~across~each~Res.6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$S#!""-%)BOUNDS_YG6#$"$q#!""-%-BOUNDS_WIDTHG6#$"%IO!""-%.BOUNDS_HEIGHTG6#$"%?I!""-%)CHILDRENG6"

JSFH