GSP4\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.s$AJ` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` Arial$ $    K  g'''$'$'$'$'$'$'$'[$'$'$' $' $' %'&'8'8'8'9':') h4l@rr@.#4(@ 4\.B@: &@  nQ\aAx.#6(n 6\.B@: &n  nQ\aAy.#='n  .#nAt:A@bX,Vw@@Bt:Nb@bX,Vw@@C-ru@h4k@@E\.墁@@p@A3@   <0>nQ\aAbA3n    <0>nQ\aAcn  .#W3n    j<0>nQ\aAm[gr]B3n   <0>nQ\aAm[6]A3n    <0>nQ\aAeB3n    <0>nQ\aAm[12]A3n   <0>nQ\aAa On^ jC<0> >0?YY@??nQ\aAzerojCVE8naE8 bE8 cE8e .#,,  'J +?f.#W3+   S<0>nQ\aAm[br]B3n    <0>nQ\aAm[15]B3n   <0>nQ\aAm[14]n,, > Un$$gigi|n(&g!7g zn,,(b(bun,*`>`Jsn2drag D left/rt from herebX~@x:NSb@@  # @ x>  %   +$nQ\aA Move x -> a> n %   d$nQ\aA Move x -> b> n %   ,$nQ\aA Move x -> b> n %   a$nQ\aA Move x -> a> n %   t,$nQ\aA Move x -> c> n %   n$nQ\aA Move x -> c> n %   (y$nQ\aA Move x -> eA3n %  <0>ynQ\aAm[13]G 9n  1<0> b0Q+NgR ` ```  F[br]G 9  2<0> f0Q+NgR `  ```  F[gr]/ % - 0 gr int-  - 0 br int- J %2 %1>  '+   +"nQ\aAx to b,c  n start A3 6  <0>nQ\aAstart A3n %  t<0> > n 6   C(nQ\aAMove start -> a0 3n - n =<0> N0 Q+NgR ``  nQ\aAx>=bs0 3n  -r ><0>o R0 Q+NgR ``  nQ\aAx J0Q+NgR````*nQ\aAsmaller of x or b0 3n  -n #<0> N0 Q+NgR ``  nQ\aAx<=ce0 3n - r <0> R0 Q+NgR ``  nQ\aAx>c0 3n-= >v <0>o V0 Q+NgR` `  `  ` *nQ\aAsmaller of x or c> n 6   H(nQ\aAMove start -> b> n 6   kH(nQ\aAMove start -> c> n %   p$nQ\aA Move x -> en,*>6&n(&xe>x+n$$  X3> n 6   '(nQ\aAMove start -> e> n %   $nQ\aA Move x -> c> n %   `$nQ\aA Move x -> b> n 6   (nQ\aAMove start -> c> n 6   a(nQ\aAMove start -> b> n %   $nQ\aA Move x -> c> n %   $nQ\aA Move x -> b> n KL    "nQ\aAx to c,b > nKL)    $nQ\aA x to c,b,a> n L)    "nQ\aAx to b,aa0 3n ;-:j <0> J0Q+NgR````*nQ\aAlarger of x or b0 3Jn.-Pj #<0> J0Q+NgRp` p` ,nQ\aA0, then growing br  n42))n42%%ӪnnQ\aAD[2]e Nt"@HFQC@Ӫ@nQ\aAE[2]e Nt"@nW@Ӫ@nQ\aAF[2]e |>|@nW@Ӫ@nQ\aAG[2]e |>|@HFQC@@44 #!nQ\aAt[1]e #Rn@@tJ,nQ\aAt[2]etJt]n TUn UVn VWn WT5nTUVWnQ\aAD @`@@nQ\aAC 8@ `@@nQ\aAB @`a@@nQ\aAA ȅ@d@@ baQ C@a`_ cb$r<(-DT! @grow C db$r<(-DT! @growH[2] ' B@\.@@I[2] ' B@( B@@ gh?j iJ[2] ijКDP?a.#ij?b.#ij[jѳ?c.#ij ?e.#A3 #  Z<0>nQ\aAold dE8noold dp D.#  q r$ new centerwA3 s  <0>nQ\aAhB3n s  <0>nQ\aAkV3n s  <0>nQ\aArG 9nvt> 1<0> 0-Q+NgR ` ` ``  `   ` `   F[pink] A3 q  <0>nQ\aAdE8nxnew d >  %y   '(nQ\aAMove x -> new d> n zK    7"nQ\aAx to d,c > nzKL    A$nQ\aA x to d,c,be> nzKL)    K&nQ\aA x to d,c,b,a > n %y   |(nQ\aAMove x -> new d> n 6y   ,nQ\aAMove start -> new d> n 6y   M,nQ\aAMove start -> new d> n %y   2(nQ\aAMove x -> new d> n %y   ig(nQ\aAMove x -> new d> n+B    $nQ\aA x to c,d,ee> n'+    ?$nQ\aA x to b,c,de> n'+B    K&nQ\aA x to b,c,d,e > n B    "nQ\aAx to d,edB3n q  <0>n qs$r(-DT!?d,eQ Cq .# - 0"int pinkd % q .# - 0"int blued %W3   C<0>nQ\aAm[bl]G 9n 1$<0> f0Q+NgR ` ```  F[bl] q#.#ijy{(?d.#A[3]@؅@@B[3]@Ѕ@@  @@%> 3%   ' nQ\aAHide xe> n3%   B nQ\aAShow xe> n +    "nQ\aAx to c,ddnC[3]c@T@@@@F[3]c`h@@@G[3]cT@@@ @H[3]cc@@@@I[3]cc@@"@ "@ "@ @ .# e  e #.# .# .# .# .# .# .# .#J[3]rr@bXl~@@K[3]rr@( B@@ "@ .#"@ .#"@ .#"@ .#"@ .#"@ .#"@ .#"@ .#@    #.#@">>>"_.#0 3@  -n 9<0> N0 Q+NgR ``  nQ\aAx<=c0 3n - r  <0> R0 Q+NgR ``  nQ\aAx>c0 3n -~ 7<0>o ^0Q+NgR `  ```4nQ\aAlarger of x or c (+.000001)> n    &l*nQ\aAHide int pk & seg> n    *nQ\aAShow Int pk & seg> n    &*nQ\aAHide int bl & seg> n    *nQ\aAShow int bl & seg> n 14   (*nQ\aAHide int gr & seg> n 14    *nQ\aAShow int gr & seg> n 23   %*nQ\aAHide int br & seg> n 23   &*nQ\aAShow int br & segn42>>nm<nEP> ntEP> tnG>G> n   s nQ\aAHide ? > n   ' nQ\aAShow ?n(&?Ye>?Yln>0 3n-= >~ <0> ^0Q+NgR`` `  `6nQ\aAsmaller of x or c (+.000001)nl>l0 3n -xn <0> N0 Q+NgR ``  nQ\aAx>=de0 3n x-r <0>o R0 Q+NgR ``  nQ\aAx ^0Q+NgR`` `  `6nQ\aAsmaller of x or d (-.000001)0 3n-j <0> J0Q+NgRp` p` ,nQ\aA0, then growing bl-G 9nvt <0> 0-Q+NgR ` ` ``  `   ` `   F[pink] 0 3x-~ $#<0>o ^0Q+NgR `  ```4nQ\aAlarger of x or d (-.000001)n$ new origin bX\@bXl~@4(@ 4\.0@: &J@  x7( 7r\.@: &J  nQ\aAy='n  C8nC$@nQ\aAO[3]rC8nC4@P[3]rC8C$M[3]r@؄@@N[3]r@ @@ nQ\aAln $r(-DT!?in 10?20?" -10" -20E8Q[3]E8 R[3]E8 S[3]E8xT[3]E8U[3]98?a?b "  98?cqq?dUUUUUU?eU<:y'>>coy0 3U -7r <0> R0 Q+NgR ``  "nQ\aA start < x0 3n 7-r  <0>o R0 Q+NgR ``  "nQ\aA start > xnHF2>t20 3nv  %<0> V0 Q+NgR `  nQ\aAround e0 3nxv <0>o V0 Q+NgR `  nQ\aAround d0 3n v <0> V0 Q+NgR `  nQ\aAround c0 3n- 00<0> j0Q+NgR ``     `` nQ\aAco V0 Q+NgR `  nQ\aAround b0 3n- ?<0> n0Q+NgR ``     `` nQ\aAb N0 Q+NgR  `` nQ\aAx<=bc0 3nv <0> V0 Q+NgR `  nQ\aAround a0 3n7v 2<0>o V0 Q+NgR ` $nQ\aA round start0 3n p A<0> P0 Q+NgR  ``  nQ\aAstart=e0 3nr %5<0> R0 Q+NgR p` p` `0nQ\aAgrowing bl, then all bl0 3n p E<0> P0 Q+NgR  ``  nQ\aAstart=d0 3nz  5<0>o Z0Q+NgR p` p`  `` 6nQ\aA0, circle part, then all semi 0 3nuv "&<0> V0 Q+NgR` ``  `` :nQ\aA!0, growing pk rect, then all rect 0 3n p B<0> P0 Q+NgR  ``  nQ\aAstart=c0 3n/P~ +<0>o ^0Q+NgR p` p`  ``` 4nQ\aA0, growing gr, then all grl0 3nQj C<0> J0Q+NgR````,nQ\aAintegral rt to leftI;n TR>>>>>>?> n78   0nQ\aAShow rt to left int val> n     X8nQ\aAShow [R to L] after setting upc> n78   "0nQ\aAHide rt to left int val0 3n p B<0> P0 Q+NgR  ``  nQ\aAstart=b0 3n p B<0> P0 Q+NgR  ``  nQ\aAstart=a0 3nw  ~ <0> ^0Q+NgR p` p`  ``` :nQ\aA 0,circle part, then all semicir. 0 3nu?  ~ <0>o ^0Q+NgR ` ``  ``` :nQ\aA!0, growing pk rect, then all rect 0 3n/?<  z <0> Z0Q+NgR p` p`  `` 4nQ\aA0, growing gr, then all grl0 3Jn.< r  <0>o R0 Q+NgR p` p` `0nQ\aAgrowing br, then all br 0 3nj .{<0> J0Q+NgR````,nQ\aAintegral left to rt0 3n 5[<0> b0Q+NgR `` ` `` `6nQ\aAtotal for accumulation graphrI;fnLL38>>>>E8fn-V[3] #*%%-:;<=>?PQw  ?>#*f#%-:;<=>?PQw  ?>> L   *nQ\aAHide accum. graphI;n PP<>>>>>> n87   0nQ\aAShow left to rt int val> n    Xk8nQ\aAShow [L to R] after setting up> n87   &0nQ\aAHide left to rt int val> n     X0nQ\aAHide before setting up> JnHJ )    Nt nQ\aAb -> af> nGI O    t nQ\aAc -> af> nGI L    Z nQ\aAc -> bf> n~ N    t nQ\aAd -> af> n~ M    Z nQ\aAd -> bf> n~ K    @ nQ\aAd -> cf> n,F }    t nQ\aAe -> af> n,F |    Z nQ\aAe -> bf> n,F {    @ nQ\aAe -> cf> n,F z    ' nQ\aAe -> df> nB    t nQ\aAd -> ef> n*A    t nQ\aAc -> ef> n*A    Z nQ\aAc -> df> n(@    \t nQ\aAb -> ef> n(@    \Z nQ\aAb -> df> n(@+    \@ nQ\aAb -> cf> Jn&9    t nQ\aAa -> ef> Jn&9    Z nQ\aAa -> df> Jn&95    @ nQ\aAa -> cf> Jn&9'    ' nQ\aAa -> bf> n$    X8nQ\aAReset w/o touching accum. graph0 3n -b 1<0> B0Q+NgR`` nQ\aAbrown xE8Jn4brw0 3 -b E<0> B0Q+NgR`` nQ\aAgreen xE8n6gre0 3 -b 0<0> B0Q+NgR`` nQ\aApink xE8n8pkk0 3 -r 2A<0> R0 Q+NgR ``  nQ\aAx>d0 3n -:b B<0> B0Q+NgR`` nQ\aAblue xE8n;bleG 9< vtu: P<0> 0?Q+NgR ` ` ` ` ` ` ` `   ` `  `  ` `  `  `  `f88$>p/> 9   .nQ\aAHide Plotted Point pk> n9   c.nQ\aAShow Plotted Point pk> n<   |.nQ\aAShow Plotted Point bl> n<   .nQ\aAHide Plotted Point bl> n7   .nQ\aAHide Plotted Point gr> n7   .nQ\aAShow Plotted Point gr> n5   .nQ\aAShow Plotted Point br> n5   .nQ\aAHide Plotted Point br> nD   I0nQ\aAShow graph of integral> nG@ADE   X6.nQ\aASee graph of integral> n &-:;<Rotuvx(*./=>?  @ACDEghijw=!',59FSz{|} ")+BGHIJKLMNOPQ~:   3468;?@ABCDEFG>   !*nQ\aAShow all details> n$3?BCF&9    XOnQ\aAReset-#