GSP4QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$6` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0528/Mar 11 20030#` Arial@    0 00 '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' A@?@@A'V@?@@B,@L@@B'Y@L@? @ ? @  @  ? x-scale   tpM[2? y-scale/3  E<0>nQ\aAm[1]l/3n  F<0>nQ\aAm[2]ln n )n~@0x@4(@ 4\.B@: &@   nQ\aAx6(n 6\.B@: &n   nQ\aAy='n   On^ <<0> >02?YY@??nQ\aAC<P On^ O<0> >02?YY@??nQ\aALOcE8nnQ\aAG0 3n b D<0> B0X2B(B(eMDw+Xw~Sw `0 3n b ?<0> B0X2 ) )eMDw+Xw~Sw `n<rV@\.B@?<?\.B@?!!  ; &  nQ\aAx; &n  nQ\aAy='n  0 3n` ;i<0> @0X2""eMDw+Xw~Sw `0 3n` @y<0> @0X2$$eMDw+Xw~Sw `E8n!" ## #$ #%; & #' nQ\aAx; &n #& nQ\aAy='n ()  9nb _u<0> B0X26 6 eMDw+Xw~Sw f_uH: +*  *EΏ,@ O^ b^<0> >02?YY@??nQ\aAt[1]b^jqE8n-*2E8-*4 . /@s@O@@2<?\.B@?U?  23Kp@`c@@Lv@`c@@nQ\aAGR@@_@@nQ\aAFR@d@@nQ\aABЃ@@_@@nQ\aAAЃ@d@@nQ\aAE8@a@@nQ\aADȇ@Z@@ @ 56@Ny@x@ O@` A<0> @0?YY@??"nQ\aAconstant\AInnQ\aAG1@R@@nQ\aAF1@\@@nQ\aAA@\@@$"b>nQ\aAt[2]abn! >nQ\aAt[1]a!>44(n> 4bX,G@7(nE 7bX9@Q%0 >F  X<0>!60 3 +b 8<0> B0X2$2$eMDw+Xw~Sw,p` > fH    7,nQ\aAShow value of f(C) Ond w<0> D02?YY@?? "nQ\aAmaxdeltaew0 3n Jb S<0> B0X5&5&eMDw+Xw~Sw,``E8nK-*W .L M m*S?C + d" N0C - d .N .OA3 N*  3&<0>7"nQ\aA 2 + delta0 3n Rb I><0> B0X  eMDw+Xw~Sw,``nQ\aAd n((+>nQ\aAt[2]e+ADn >nQ\aAt[1]e TnnQ\aAB؄@}@@nQ\aAA@@0 3@ +Rb R<0> B0X $ $eMDw+Xw~Sw,p` &nQ\aA f(2 + delta)  E8nRX*K[1] E8-X*"f(x + C)t5NY.A3 O*  yc<0>!6"nQ\aA 2 - delta0 3n +\b ^<0> B0X##eMDw+Xw~Sw,p` &nQ\aA f(2 - delta)  E8n\]*L[1] E8-]*"f(x - C)t5^.O5ZY/5/^_((v>> vN<?rVjZ&@433333?Z; dc0.w>>>((q>> qO<?rVjZ&@433333?Z; gf0.>>>((>> ((>> 00~>> ~600>> Z<r<f@Nt:@gfffff?Z<r<f@\.B@?Z; nl_<r<f@\.B@?Z; pknQ\aAXP}@0@@r<?\.R@@Z; rU$" >>>>>>>42#Q>>>#QCjr</Y~6꿚I|Z@_@2L&D@?r<?x<>@?s<?\.R@@w<?r(-DT!NtZ@ffffff@x<?r(-DT!Nt:@gfffff?X''{.L {|)1L.{  <0>> %0 .{  <0>> N~ {<$-RB? t?\A5\.2@?Z;t v44HF!>>>>t<?@ A@?Z; S(&bG>>lt nQ\aAA]qu2|@O#π@@<?"H$p@@<?r(-DT!NtZ@ffffff@<?r(-DT!NtZ@ffffff@/<r(-DT! z^c@ffffff@4'. )  .bSD3@  44; > ;x<m.dx+<~%ῗ8@z^U@(\@<$$>> Z;< CM<<?r(-DT!jZ6@433333?Z; I <r(-DT!?\.B@?Z; D[_<#2 9J<@x<e@zG@9<?r(-DT!2L&d@@<?z^c@@<?z^c@@5%0 /   I<0>> B3 /*  g<0>> 0 3b <0> B0PR!!eMDw+Xw~Sw2` E8-*@  /   F-?L+e" 1L-e<r(-DT! \.B@?Z; jD <r(-DT! \.B@?Z; i <r(-DT! z^c@ffffff@ B3 *  <0>>nQ\aA4 + e n /"n 1B3n /*  }<0>>nQ\aAm[5] 0 3n b  <0> B0PR%%eMDw+Xw~Sw2`` n<?x<.@?Z;  <?@ A@?Z;  ,,>>>nQ\aAt[2]!n0.>>>>nQ\aAt[1] ;nnQ\aAA`@@j@Z;@ 42>>> @<?r(-DT!x<.@?<r(-DT! jZ6@433333?nQ\aAAܮ:1@Fq@@<?"H$p@@<?r(-DT!NtZ@ffffff@<?r(-DT!NtZ@ffffff@ NY YZ O^ ^_w<;f?;f?(-DT!x<@?fz<;f?;f?(-DT!x<@?f<;f;f!3|@x<@?f<;f;f!3|@x<@?f<;f;f!3|@x<@?f<;f;f!3|@x<@?5f>     <2nQ\aAShow value of C to adjust> n    Q2nQ\aAShow value of L to adjustn@F@@<?r(-DT!x<>@?<r(-DT! \.B@?Z; 42@>>> <?r(-DT!x<.@?<r(-DT! jZ6@433333?>  +J    v$nQ\aA Edit sketch On^ C<0> >0?YY@??nQ\aAt[2]sCTE8n*@ " 1B3 *  \I<0>vB3 *  ^p<0>v0 3 ?<0> fn  0'2wpͫeMw          ` 0 3 +b  <0> B0$2wpͫeMwp` E8* 0 3 <0> 0')2wpͫeMw          ` 0 3 +b =e<0> B02wpͫeMwp` E8* I[1]s`@pz@.@ ) @( &\`)?x A3 *  <0>v0 3 +b <0> B0(8&&eMDw+Xw~Swp` E8*N[1]s O^ :<0> >02?YY@??nQ\aAt[4]s:BE8n*$ f(x)  uu uu B3 *  "<0>vnQ\aA4 - e[Sn P P00000>>nQ\aAH[15]B3n Y*  !<0>v&nQ\aA f(C + delta)B3n ^*  o<0>v&nQ\aA f(C - delta)[Sn \ \00000>>?nQ\aAH[8] A3n *  <0>vnQ\aAxB3n *  <0>vnQ\aAf(x) [Sn H H00000>>nQ\aA(n ON n $A?x A3 *  V/<0>vnQ\aAx0 3n +b SG<0> B0..eMDw+Xw~Sw,p` E8n*E8-*& f(x)   [S T TR0000<(>>0>> D    &nQ\aA Show epsilon> n$    *nQ\aAShow delta traceC8n*C@> f     e.nQ\aAReset function tracen44 <+<0>>>>Z;n 88.!%<+<0>>>>>n<?r(-DT!bXL@? drag x [S \RX Xu00000>>4.6nQ\aAH[13]nw<?\.r@ @<?r(-DT!NtZ@ffffff@<;f?;f?(-DT!x<@?f<;f?;f?(-DT!x<@?5fwz5> <utONeh    $nQ\aA Show deltaZ;n Z;n 00Q>>>n$">>!A /n<r<(-DT! @@ A@?eh00>> Z;   <(:/zXw?漾j?Nt*@gfffff?ehZ;   > f$    ,nQ\aAShow trace function[Sn ]X\ \00000>>?nQ\aAh> nab`[    ($nQ\aA Show shadef> nZo_q    OBnQ\aA(Show f(2-delta) and f(2+delta) on sketchn$$O>><Opn$$>><n.<?r(-DT!x<.@?a) on skZ; #/<r<(-DT! @x<.@?a) on skZ; > 01    4nQ\aAShow C=2 and L=4 on sketch-#*QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0528/Mar 11 20030#` Arial     0 00 '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' A@?@@A'V@?@@B,@L@@B'Y@L@? @ ? @  @  kv@ x-scale   ,x? y-scale/3  E<0>nQ\aAm[1]l/3n  F<0>nQ\aAm[2]ln n )n~@t@4(@ 4\.B@: &@   nQ\aAx6(n 6\.B@: &n   nQ\aAy='n   On^ %<0>00 >02?YY@??nQ\aAC%9 On^ 8<0>00 >02?YY@??nQ\aAL8LE8nnQ\aAG0 3n b D<0> B0X2B(B(eMDw+Xw~Sw `0 3n b ?<0> B0X2 ) )eMDw+Xw~Sw `n<rV@\.B@?a) on sk<?\.B@?a) on sk!!  ; &  nQ\aAx; &n  nQ\aAy='n  0 3n` ;i<0>00 @0X2""eMDw+Xw~Sw `0 3n` @y<0>00 @0X2$$eMDw+Xw~Sw `E8n!" ## #$ #%; & #' nQ\aAx; &n #& nQ\aAy='n ()  9n d<0>8x=  `0X26 6 eMDw+Xw~Sw    fd,xH: +*  *EΏ,@ O^ b^<0>00 >02?YY@??nQ\aAt[1]b^jqE8n-*CE8-*L . /@s@O@@2<?\.B@?a) on skU?  23Kp@`c@@Lv@`c@@nQ\aAGR@@_@@nQ\aAFR@d@@nQ\aABЃ@@_@@nQ\aAAЃ@d@@nQ\aAE8@a@@nQ\aADȇ@Z@@ @ 56@Ny@x@ O@` A<0>00 @0?YY@??"nQ\aAconstant\AInnQ\aAG1@R@@nQ\aAF1@\@@nQ\aAA@\@@$"b><nQ\aAt[2]abn! >nQ\aAt[1]a!>44(n> 4bX,G@7(nE 7bX9@Q%0 >F  X<0>!60 3 +b <0> B0X2$2$eMDw+Xw~Sw,p` > fH    7,nQ\aAShow value of f(C) Ond {<0> D02?YY@?? "nQ\aAmaxdeltae{ 0 3n Jb S<0> B0X5&5&eMDw+Xw~Sw,``E8nK-*W .L M ̮P"?C + d" N0C - d .N .OA3 N*  3&<0>7"nQ\aA C + delta0 3n Rb I><0> B0X  eMDw+Xw~Sw,``nQ\aAdn((+>nQ\aAt[2]e+ADn >nQ\aAt[1]e TnnQ\aAB؄@}@@nQ\aAA@@0 3@ +Rb R<0> B0X $ $eMDw+Xw~Sw,p` E8@RX*K[1]eE8-X*"f(x + C)A3 O*  yc<0>!6"nQ\aA C - delta0 3n +[b ^<0> B0X##eMDw+Xw~Sw,p` E8n[\*L[1]eE8-\*"f(x - C)((v>> vN<?rVjZ&@433333?a) on skZ; `_0.c>>>>((q>> qO<?rVjZ&@433333?a) on skZ; cb0.>>>>$$> $$> 00~>> ~800>> Z<r<f@Nt:@gfffff?a) on skZ<r<f@\.B@?a) on skZ; jh^<r<f@\.B@?a) on skZ; lgnQ\aAXPz@@@n<?\.R@@a) on skZ; nU$">>>>>>>42#Q>>>>>#QCjn</Y~6꿚I|Z@_@2L&D@?a) on skn<?x<>@?a) on sko<?\.R@@a) on sks<?r(-DT!NtZ@ffffff@a) on skt<?r(-DT!Nt:@gfffff?a) on skX''w.L wx)1L.w  <0>>%0 .w  <0>>Nz{ |w|<$-RB? t?\A5\.2@?a) on skZ;t ~r44$7!>>>>t~<?@ A@?a) on skZ; S(&>8>>ltnQ\aAA]qu2|@O#π@@<?"H$p@@a) on sk<?r(-DT!NtZ@ffffff@a) on sk<?r(-DT!NtZ@ffffff@a) on sk/<r(-DT! z^c@ffffff@a) on skL'. )  .bSD3@  44; >;x<m.dx+<~%ῗ8@z^U@(\@a) on sk<$$>>Z;< CgB<<?r(-DT!jZ6@433333?a) on skZ; cZ<r(-DT!?\.B@?a) on skZ; Du <#2 9J<@x<e@zG@a) on sk9<?r(-DT!2L&d@@a) on sk<?z^c@@a) on sk<?z^c@@a) on sk5%0 /   I<0>>B3 /*  g<0>>0 3b <0> B0PR!!eMDw+Xw~Sw2`E8-*@  /    <r(-DT! \.B@?a) on skZ; eT <r(-DT! z^c@ffffff@a) on sk B3 *  <0>>nQ\aAL + en /"n 1B3n /*  }<0>>nQ\aAm[5]0 3n b  <0> B0PR%%eMDw+Xw~Sw2``n<?x<.@?a) on skZ; S<?@ A@?a) on skZ; S,,>>>nQ\aAt[2]!n0.>>>>nQ\aAt[1];nnQ\aAA`@@j@Z;@ 42>>>@<?r(-DT!x<.@?a) on sk<r(-DT! jZ6@433333?a) on sknQ\aAA ܮ:1@Fq@@<?"H$p@@a) on sk<?r(-DT!NtZ@ffffff@a) on sk<?r(-DT!NtZ@ffffff@a) on sk NY YZ O] ]^s<;f?;f?(-DT!x<@?a) on skfv<;f?;f?(-DT!x<@?a) on skf<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on sk5f>     %2nQ\aAShow value of C to adjust> n    :2nQ\aAShow value of L to adjustnЉ@C@@<?r(-DT!x<>@?a) on sk<r(-DT! \.B@?a) on skZ; 42:>>><?r(-DT!x<.@?a) on sk<r(-DT! jZ6@433333?a) on sk>  +J    v$nQ\aA Edit sketch On^ C<0>00 >0?YY@??nQ\aAt[2]sCTE8n*@ " 1B3 *  \I<0>vB3 *  ^p<0>v0 3 ?<0> fn  0'2wpͫeMw          ` 0 3 +b  <0> B0$2wpͫeMwp` E8* 0 3 <0> 0')2wpͫeMw          ` 0 3 +b =e<0> B02wpͫeMwp` E8* I[1]s`@pz@.@ ) @( &ߏ&f@x A3 *  <0>v0 3 +b <0> B0(8&&eMDw+Xw~Swp` E8*N[1]s O^ :<0>00 >02?YY@??nQ\aAt[4]s:BE8n*$ f(x)    B3 *  "<0>vnQ\aAL - e[Sn P P00000>>nQ\aAH[4]B3n Y*  !<0>v&nQ\aA f(C + delta)B3n ]*  o<0>v&nQ\aA f(C - delta)[Sn \ \800000>>?nQ\aAH[8] A3n *  <0>vnQ\aAxB3n *  <0>vnQ\aAf(x) [Sn H H400000>>nQ\aA(n ON n $A?xA3 *  V/<0>vnQ\aAx0 3n +b SG<0> B0..eMDw+Xw~Sw,p` E8n*E8-*& f(x)   [S T TR0000<(>>0>> D    &nQ\aA Show epsilon> n$    *nQ\aAShow delta traceC8n*C?> f     d.nQ\aAReset function tracenLJ6<+<0>>>>.01QZ;n PN;<+<0>>>>>>n<?r(-DT!bXL@? drag x  [S [RX XH00000>>3.5nQ\aArns<?\.r@ @<?r(-DT!NtZ@ffffff@<;f?;f?(-DT!x<@?f<;f?;f?(-DT!x<@?5fsv5> <}|qpONad    $nQ\aA Show deltaZ;n Z;n 00K>>>n<r<(-DT! @@ A@?ad00>> Z;  42!>>> ,,>>  <W}/0 _O^?Cl?Nt*@gfffff?adZ;O   00>>> > fO$      ,nQ\aAShow trace functionE8nH*5.YN5].O O^ <0>00 >02?YY@??nQ\aAt[5]tE8nH*5]^5ZY>     $nQ\aA Show shadef> nm^kZ    OBnQ\aA(Show f(C-delta) and f(C+delta) on sketchn.<$-RB? t?\A5KRT*%@Q?a) on skt$$>><Z;t t$$>><t/<r<(-DT! @\.2@?a) on skZ; 2> 01    0nQ\aAShow C and L on sketch?-#*QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0528/Mar 11 20030#` Arial     0 00 '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' A@?@@A'V@?@@B,@L@@B'Y@L@? @ ? @  @  9d5@? x-scale   M=B? y-scale/3  E<0>nQ\aAm[1]l/3n  F<0>nQ\aAm[2]ln n )n}@x@4(@ 4\.B@: &@   nQ\aAx6(n 6\.B@: &n   nQ\aAy='n   On^ A<0>00 >02?YY@??nQ\aALAU0 3n b D<0> B0X2B(B(eMDw+Xw~Sw `0 3n b ?<0> B0X2 ) )eMDw+Xw~Sw `0 3n` @y<0>00 @0X2$$eMDw+Xw~Sw ` 9nv d<0>8x=  V0 X26 6 eMDw+Xw~Sw    fd O^ b^<0>00 >02?YY@??nQ\aAt[1]lb^tn@s@O@@<?\.B@?a) on skU?  Kp@`c@@Lv@`c@@nQ\aAGR@@_@@nQ\aAFR@d@@nQ\aABЃ@@_@@nQ\aAAЃ@d@@nQ\aAE8@a@@nQ\aADȇ@Z@@ @ @Ny@x@ O@` A<0>00 @0?YY@??"nQ\aAconstant\AnnQ\aAG1@R@@nQ\aAF1@\@@nQ\aAA@\@@$"b><nQ\aAt[2]abn! >nQ\aAt[1]a!>44(n% 4bX,G@7(n, 7bX9@Q%0 %-  X<0>!6 Ob {<0> B02?YY@?? "nQ\aAmaxdelta\{Wn((+>nQ\aAt[2]l+ADn >nQ\aAt[1]lTnnQ\aAB؄@}@@nQ\aAA@@@((v>> v@((q>> q@$$> @$$> @00~>> ~8@00>> @nQ\aAX`z@x@@:<?\.R@@a) on skZ; :1$">>>>>>>42#Q>>>#QCj:</Y~6꿚I|Z@_@2L&D@?a) on sk:<?x<>@?a) on sk;<?\.R@@a) on sk?<?r(-DT!NtZ@ffffff@a) on sk@<?r(-DT!Nt:@gfffff?a) on skX''nQ\aAA]qu2|@O#π@@D<?"H$p@@a) on skD<?r(-DT!NtZ@ffffff@a) on skE<?r(-DT!NtZ@ffffff@a) on sk44; > ;x$$>  ,,>>>nQ\aAt[2]!n0.>>>>nQ\aAt[1] ;nnQ\aAAЊ@V@Z;@ LK420M>>> @nQ\aAA ܮ:1@Fq@@N<?"H$p@@a) on skN<?r(-DT!NtZ@ffffff@a) on skO<?r(-DT!NtZ@ffffff@a) on sk?<;f?;f?(-DT!x<@?a) on skfB<;f?;f?(-DT!x<@?a) on sk> f    C2nQ\aAShow value of L to adjustn@F@> @ /    v$nQ\aA Edit sketch On^ C<0>00 >0?YY@??nQ\aAt[2]sCXnI[1]s`@pz@ O@^ :<0>00 >02?YY@??nQ\aAt[4]s:qnTRg><+<0>>>>>>?gZ;n UZXV-C<+<0>>>>>>>n?<?\.r@ @a) on sk\<?r(-DT!NtZ@ffffff@a) on sk\<;f?;f?(-DT!x<@?a) on skf]<;f?;f?(-DT!x<@?a) on sk5f?\]B5R^_S00>> ,,>>   O^ <0>2<xf >02?YY@??nQ\aAt[5] 9nb #<0> B0<2wpͫeMwr#\ O^ <0>2<xf >0?YY@??nQ\aAt[6]P On^ ,<0>2<xf >02?YY@??nQ\aAC,@0 3ng` ;i<0>2<xf @0X2""eMDw+Xw~Sw `> ng    .2nQ\aAShow value of C to adjust0 3n gb <0> B0X2$2$eMDw+Xw~Sw,p` > fnj    7,nQ\aAShow value of f(C)a0 3n g/b S<0> B0X5&5&eMDw+Xw~Sw,``0 3n egb <0> B0G2wpͫeMwp` E8ngnQ\aAGnn<?\.B@?a) on sk!on npn<rV@\.B@?a) on sk!rn ns; & nt nQ\aAy; &n nq nQ\aAx='n vu E8nhwxnp xyxns x{; & x| nQ\aAy.n X}; &n xz nQ\aAx n &QP ?x <W}/0 _O^?Cl?Nt*@gfffff?a) on skZ;O c00>>> O<?r(-DT!bXL@?a) on sk drag x  =' } E8gC %0 C  <0>7  nE8L <r(-DT! z^c@ffffff@a) on skL'<#2 9J<@x<e@zG@a) on sk9<?z^c@@a) on sk<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on skf<?r(-DT!2L&d@@a) on sk<;f;f!3|@x<@?a) on skf<?z^c@@a) on sk<;f;f!3|@x<@?a) on sk5f5<m.dx+<~%ῗ8@z^U@(\@a) on sk<<?r(-DT!jZ6@433333?a) on skZ; I((N>> <r(-DT!?\.B@?a) on skZ; +$"`@>>lonZ; *((Rw>>. }  .bSD3@  %0    I<0>7  nE8lWC C)1C  <0>7  B3   g<0>7 0 3b <0> B0PR!!eMDw+Xw~Sw2` E8@     (R?L+e<r(-DT! \.B@?a) on skZ; 6,*>>>> <r(-DT! z^c@ffffff@a) on sk<?x<.@?a) on sk<?@ A@?a) on skZ; H86#>>>   " " L-e<r(-DT! \.B@?a) on skZ; 7,*>>>> B3   <0>7nQ\aAL + e B3n   }<0>7nQ\aAm[5] 0 3n b  <0> B0PR%%eMDw+Xw~Sw2`` Z;n (&>>>> E8nW@ " B3   \I<0>70 3 ?<0> fn  0'2wpͫeMw          ` 0 3 b  <0> B0$2wpͫeMwp` B3   ^p<0>70 3 <0> 0')2wpͫeMw          ` 0 3 b =e<0> B02wpͫeMwp` E8 E8 A3   <0>70 3 b <0> B0(8&&eMDw+Xw~Swp` E8N[1] E8Y$ f(x)  <r<(-DT! @@ A@?a) on skZ; b42>>>>>  B3   "<0>7nQ\aAL - e[Sn P P%00000>>nQ\aAH[10]> nD    &nQ\aA Show epsilonA3n   <0>nQ\aAxB3n   <0>nQ\aAf(x)e[Sn H H00000>>nQ\aAH[12]> fn$    ,nQ\aAShow trace functionE8ngmE8fmC8C@@H:   *EΏ,@$$>>> *<r<(-DT! @\.2@?Z; (&>>>>>  I > I]  Ū ?C + d C<$-RB? t?\A5\.2@?Z;t >44O!>>>>t<?@ A@?<?rVjZ&@433333?Z; 40.9>>>>" C - d<?rVjZ&@433333?Z; 50.>>>> A3   yc<0>T1"nQ\aA C - delta0 3n b ^<0> B0X##eMDw+Xw~Sw,p`  E8n"f(x - C)<r<f@\.B@?Z; 886 ">>>>E8L[1] B3   o<0>T1&nQ\aA f(C - delta)5n5    $A?x A3   V/<0>T1nQ\aAx0 3n b SG<0> B0..eMDw+Xw~Sw,p` E8n E8& f(x)  [S T TR0000<(>>0>>SwnQ\aAH[13]n<?r(-DT!bXL@? drag x  > $    *nQ\aAShow delta traceA3n   3&<0>"nQ\aA C + delta0 3n gb I><0> B0X  eMDw+Xw~Sw,``nQ\aAd Z;n (&P>>64 [Sn X X=00000>> nQ\aAH[9]e0 3n b R<0> B0X $ $eMDw+Xw~Sw,p`  E8n"f(x + C)<r<f@Nt:@gfffff?<r<f@\.B@?Z; 986">>>>E8K[1]  B3    !<0>&nQ\aA f(C + delta)[Sn  \ \#00000>>nQ\aAH[11]5n   > <`a=<    $nQ\aA Show delta5n >      $nQ\aA Show shaden C8nC@>      XBnQ\aA(Show f(C-delta) and f(C+delta) on sketch> fn     m.nQ\aAReset trace function(nL<?r(-DT!x<.@?a) on sk<r(-DT! jZ6@433333?a) on skZ; J003^>>><$-RB? t?\A5KRT*%@Q?a) on skZ;t $">>!A > t    0nQ\aAShow C and L on sketch?-#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. 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"nQ\aAmaxdelta\o10 3n Ib S<0> B0X5&5&eMDw+Xw~Sw,``E8nJ-*W .K L SE?C + d" M0C - d .M .NA3 M*  ,"<0>!6"nQ\aA C + delta0 3n Qb I><0> B0X  eMDw+Xw~Sw,``nQ\aAdn((+>nQ\aAt[2]e+ADn >nQ\aAt[1]e TnnQ\aAB؄@}@@nQ\aAA@@0 3@ +Qb R<0> B0X $ $eMDw+Xw~Sw,p` E8@QW*K[1]eE8-W*"f(x + C)5MX.A3 N*  yc<0>!6"nQ\aA C - delta 0 3n +[b ^<0> B0X##eMDw+Xw~Sw,p` E8n[\*L[1]eE8-\*"f(x - C)5].N5YX/5/]^((v>> vM<?rVjZ&@433333?a) on skZ; cb0.>>>>>((q>> qN<?rVjZ&@433333?a) on skZ; fe0.>>>>>$$> $$> 00~>> ~800>> Y<r<f@Nt:@gfffff?a) on skY<r<f@\.B@?a) on skZ; mk865">>>>^<r<f@\.B@?a) on skZ; oj8667">>>>nQ\aAX}@h@@q<?\.R@@a) on skZ; qT$">>>>>>>42#Q>>>>>#QCjq</Y~6꿚I|Z@_@2L&D@?a) on skq<?x<>@?a) on skr<?\.R@@a) on skv<?r(-DT!NtZ@ffffff@a) on skw<?r(-DT!Nt:@gfffff?a) on skX''z.K z{)1K.z  \<0>!6%0 .z  <0>!6M}~ z<$-RB? t?\A5\.2@?a) on skZ;t u44QM!>>>>t<?@ A@?a) on skZ; R(&kN>>ltnQ\aAA]qu2|@O#π@@<?"H$p@@a) on sk<?r(-DT!NtZ@ffffff@a) on sk<?r(-DT!NtZ@ffffff@a) on sk/<r(-DT! z^c@ffffff@a) on skL'. )  .bSD3@  44; >;x<m.dx+<~%ῗ8@z^U@(\@a) on sk<$$>>Z;< C((N>>t<<?r(-DT!jZ6@433333?a) on skZ; ((f>><r(-DT!?\.B@?a) on skZ; D$">>lon<#2 9J<@x<e@zG@a) on sk9<?r(-DT!2L&d@@a) on sk<?z^c@@a) on sk<?z^c@@a) on sk5%0 /   I<0>!6B3 /*  g<0>!60 3b <0> B0PR!!eMDw+Xw~Sw2`E8-*@  /   }p]BJ?L+e" 1L-e<r(-DT! \.B@?a) on skZ; i,*:>>>> <r(-DT! \.B@?a) on skZ; h,*9Y>>>> <r(-DT! z^c@ffffff@a) on sk B3 *  <0>!6nQ\aAL + en /"n 1B3n /*  }<0>!6nQ\aAm[5]0 3n b  <0> B0PR%%eMDw+Xw~Sw2``n<?x<.@?a) on skZ; 86X#>>><?@ A@?a) on skZ; (&X>>>>,,>>>nQ\aAt[2] "n0.>>>>nQ\aAt[1];nnQ\aAAЋ@d@Z;@ 42R>>>>>@<?r(-DT!x<.@?a) on sk<r(-DT! jZ6@433333?a) on skZ; 00U>>>nQ\aAAܮ:1@Fq@@<?"H$p@@a) on sk<?r(-DT!NtZ@ffffff@a) on sk<?r(-DT!NtZ@ffffff@a) on sk MX XY N] ]^v<;f?;f?(-DT!x<@?a) on skfy<;f?;f?(-DT!x<@?a) on skf<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on skf<;f;f!3|@x<@?a) on sk5f>    72nQ\aAShow value of C to adjust> n   L2nQ\aAShow value of L to adjustnP@C@Z;@ +XX D<(>>>>>>@<?r(-DT!x<>@?a) on sk<r(-DT! \.B@?a) on sk<?r(-DT!x<.@?a) on sk<r(-DT! jZ6@433333?a) on sk>  +I    v$nQ\aA Edit sketch On^ C<0>2<>< >0?YY@??nQ\aAt[2]sCXE8n*@ " 1B3 *  \I<0>vB3 *  ^p<0>v0 3 ?<0> fn  0'2wpͫeMw          ` 0 3 +b  <0> B0$2wpͫeMwp` E8* 0 3 <0> 0')2wpͫeMw          ` 0 3 +b =e<0> B02wpͫeMwp` E8* I[1]s`@pz@.@ ) O@^ :<0>2<>< >02?YY@??nQ\aAt[4]s:qB3n *  "<0>vnQ\aAL - e[Sn P P?00000>>nQ\aAH[4]B3n X*  !<0>v&nQ\aA f(C + delta)B3n ]*  o<0>v&nQ\aA f(C - delta)[Sn \ \&00000>>?nQ\aAH[8] > n`a_Z    *$nQ\aA Show shade)n NM n HwIJ?xA3 *  V/<0>*nQ\aAx0 3n +b SG<0> B0..eMDw+Xw~Sw,p` E8n-*& f(x) <?r(-DT!bXL@?a) on sk drag x > D   &nQ\aA Show epsilonC8n*C@0 3+b <0> B0]99eMDw+Xw~Swp C8*C@@C8*C@@ O^ l<0>00 >0?YY@??&nQ\aA decisionvaluel6G 9nn Q<0> N0 2wpͫeMw  ` nQ\aAqG 9nn V)<0> N0 7#7#eMDw+Xw~SwX  ` pG 9z V><0>8x=  Z09#9#eMDw+Xw~SwX  `   vG 9 VS<0> 0.7"7"eMDw+Xw~SwX  p  p     p    p f> ,   <nQ\aA#Hide the plot present on the sketchH:n *  0Ad4ʦ@ fn( &ZP?xA3 *  \l<0>nQ\aAx0 3n b W~<0> B0='='eMDw+Xw~SwXp` E8fn*> f    a.nQ\aAReset function trace > n   p2nQ\aAShow killer plot of f(x)tfn  On^ ]<0>00 >02?YY@??nQ\aAt[5]k]E8fn*$ f(x) f [Sf T TG0000<(>>0>>?nQ\aA(> fn .    8$nQ\aA Move x -> Cn<{<+<0>>>>><0>>>>>0n> n   I8nQ\aAHide algebraic form of functionn<?r(-DT!$D"H@?iontch drag x A3 *  <0>InQ\aAx 0 3n  b <0> B0  & &eMDw+Xw~Sw4p`  E8n  * O^ <0>00 >02?YY@??nQ\aAt[6]x E8n  *& f(x)      >  .   v2nQ\aAReset trace within delta[Sn   T TCB0000<(>>0>>?nQ\aAe[Sn [QX Xp00000>>nQ\aAenv<?\.r@ @iontch<;f?;f?(-DT!x<@?iontchf<?r(-DT!NtZ@ffffff@iontch<;f?;f?(-DT!x<@?iontch5fvy5