{VERSION 3 0 "IBM INTEL NT" "3.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 
0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" 
-1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 
-1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "
" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }
{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }
1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "
" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 
-1 0 }}
{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 36 "                                    " }{TEXT 256 34 " First and
 second derivative tests" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 25 "sm121_der_tests1.mws,7-99" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 21 "restart;\nwith(plots):" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 108 "Plot y=x^2-7x+3 and use the first derivative test to d
etermine where the graph is increasing and decreasing." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 274 "f:=x->sin(x^2-7*x+3);\nDf:=unapply
(diff(f(x),x),x);\n_EnvAllSolutions := true:\ncritpts:=solve(Df(x)=0,x
);\nindets(critpts[1]);#indets(critpts[1]) or indets(critpts[2]),\n   \+
                #whichever one is _Z1~ (which is an internal \n       \+
            #MAPLE integer variable)" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%\"fGR6#%\"xG6\"6$%)operatorG%&arrowGF(-%$sinG6#,(*$)9$\"\"#\"\"\"
\"\"\"F2!\"(\"\"$F5F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#DfGR6#
%\"xG6\"6$%)operatorG%&arrowGF(*&-%$cosG6#,(*$)9$\"\"#\"\"\"\"\"\"F3!
\"(\"\"$F6F6,&F3F4F7F6F6F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(c
ritptsG6%,&#\"\"(\"\"#\"\"\"*$-%%sqrtG6#,(\"#PF**&%#PiGF*%%_Z1|irGF*\"
\"%F2F)\"\"\"#F*F),&F'F*F+#!\"\"F)F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#<$%%_Z1|irG*$-%%sqrtG6#,(\"#P\"\"\"*&%#PiGF+F$F+\"\"%F-\"\"#\"\"\"" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "z:=indets(critpts[1])[1];
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zG%%_Z1|irG" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 540 "a:=plot(f(x),x=0..6):\nb:=plot(Df(x),x=0
..6,linestyle=2):\nc1:=plot([subs(\{z=-3\},critpts[1]),t,t=-6..6],colo
r=green):\nc2:=plot([subs(\{z=-3\},critpts[2]),t,t=-6..6],color=green)
:\nc3:=plot([critpts[3],t,t=-6..6],color=green):\nc4:=plot([subs(\{z=-
2\},critpts[2]),t,t=-6..6],color=green):\nc5:=plot([subs(\{z=-1\},crit
pts[2]),t,t=-6..6],color=green):\nc6:=plot([subs(\{z=0\},critpts[2]),t
,t=-6..6],color=green):\nc7:=plot([subs(\{z=-2\},critpts[1]),t,t=-6..6
],color=green):\ndisplay([a,b,c1,c2,c3,c4,c5,c6,c7],title=`function in
 solid, derivative in dotted`);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 
300 {PLOTDATA 2 "6.-%'CURVESG6$7_t7$\"\"!$\"1s')f!3+7T\"!#;7$$\"1++]il
yM;!#<$\"1yj-^?\")HDF+7$$\"1+++DJdpKF/$\"1rm9G:]5OF+7$$\"1++](ofV!\\F/
$\"1sFgWi))RYF+7$$\"1+++]i9RlF/$\"1')e[>$ebg&F+7$$\"1+++v$>(3)*F/$\"1E
Wl`kx,tF+7$$\"1+++]#HyI\"F+$\"1Msz7^)Qi)F+7$$\"1+]PfIJ#f\"F+$\"1\"yBmf
\\xU*F+7$$\"1++voozw=F+$\"1AW?I!3n))*F+7$$\"1]P4@y\"z%>F+$\"1$o/C(zPY*
*F+7$$\"1+vVt(Q!>?F+$\"1]/>tG'R)**F+7$$\"1]7yD(f,4#F+$\"1Rtg1=_****F+7
$$\"1+]7y1Gh@F+$\"1S8YPE;$***F+7$$\"1+D\"GeANI#F+$\"1mf22&f`\"**F+7$$
\"1++]([kdW#F+$\"1yt'\\6`Bv*F+7$$\"1+]P%G'plFF+$\"1Km&\\\"eV)3*F+7$$\"
1++D\"3Gc3$F+$\"1D;I4=gZ!)F+7$$\"1+]7y)fbS$F+$\"1I7&[jHUo'F+7$$\"1+++v
;\\DPF+$\"1mp?qm^j]F+7$$\"1++](=Wv/%F+$\"1'4kHq(eXKF+7$$\"1++++nfpVF+$
\"1nWQj=J=8F+7$$\"1++]7#\\;p%F+$!1PN#oV'\\*R'F/7$$\"1+++D<q8]F+$!12vFp
:f`DF+7$$\"1+]7yNAM`F+$!1dG6KeSWVF+7$$\"1++DJauacF+$!1a\\t+3SgfF+7$$\"
1+]P%Gn_(fF+$!1S]:&[z)\\tF+7$$\"1++]P\"*y&H'F+$!1%)G0^z%>Z)F+7$$\"1+++
DR&Hf'F+$!1Be%R$HdZ#*F+7$$\"1++]7(=,*oF+$!1ECD*G(f`(*F+7$$\"1***\\i5,(
QqF+$!1&GfY>eL!**F+7$$\"1*******\\$G(=(F+$!13pPeN<%)**F+7$$\"1++v$*e'e
L(F+$!1mg\\K$yl***F+7$$\"1++](G[W[(F+$!11$f(GsdT**F+7$$\"1++]P@%)*4)F+
$!1eJ75uhM!*F+7$$\"1++]()fB:()F+$!1)4VD;5p<(F+7$$\"1****\\(ecM.*F+$!1N
xp+WQDfF+7$$\"1++](=x;N*F+$!12647?[GXF+7$$\"1++](y(*)p'*F+$!1utI$G$**G
IF+7$$\"1++](Q=\"))**F+$!10L(=L-+Z\"F+7$$\"1+++X=`I5!#:$\"1KUdP/U85F/7
$$\"1++D^=Di5Fhw$\"1?Kt=%G.l\"F+7$$\"1++]d=(R4\"Fhw$\"1s+&fp5.9$F+7$$
\"1++vj=pD6Fhw$\"1!H&p$=%QQXF+7$$\"1+D1*y>$e6Fhw$\"1P8'[N&\\]eF+7$$\"1
+]P9x%4>\"Fhw$\"1uv\"[,)=4qF+7$$\"1+voRcdB7Fhw$\"10I5'f@S*zF+7$$\"1+++
lN?c7Fhw$\"1U!4AT9,z)F+7$$\"1+]PfA%\\G\"Fhw$\"1\">>&pXNF$*F+7$$\"1++v`
4o88Fhw$\"1N^UN]p2(*F+7$$\"1+v$4I]!G8Fhw$\"1^ba#>w)Q)*F+7$$\"1+]7['>CM
\"Fhw$\"1!fFE%*)*4$**F+7$$\"1+DJ&**)yc8Fhw$\"1[sj^zY%)**F+7$$\"1++]U$e
6P\"Fhw$\"1X.]92%)****F+7$$\"1++voU'eV\"Fhw$\"1y==ec#*='*F+7$$\"1+++&>
q0]\"Fhw$\"1[$>=tWwd)F+7$$\"1+++5=al:Fhw$\"1'GGQB-%**pF+7$$\"1+++DM^I;
Fhw$\"1&\\10_&\\R]F+7$$\"1+++?&>=m\"Fhw$\"1'Gtn*yF0SF+7$$\"1+++:c7$p\"
Fhw$\"1Z\"\\Dg,f$HF+7$$\"1+++5<VC<Fhw$\"1Ih,-SgZ=F+7$$\"1+++0ytb<Fhw$
\"18x5];QcvF/7$$\"1+](=n&f7=Fhw$!1[kEuC(>>\"F+7$$\"1++vQNXp=Fhw$!1rWHG
.!G.$F+7$$\"1+](=/jq$>Fhw$!1zEF0X%Q+&F+7$$\"1+++XDn/?Fhw$!1SsPhPtumF+7
$$\"1++]im%>1#Fhw$!1KcQ%y6f#yF+7$$\"1+++!y?#>@Fhw$!10zp(RU[s)F+7$$\"1+
]P%>We=#Fhw$!1a$fz9?sX*F+7$$\"1++v3wY_AFhw$!1T]P$ek<()*F+7$$\"1]iSh3@n
AFhw$!1;ih(\\EN#**F+7$$\"1+D19T&>G#Fhw$!1`t$H\\S;'**F+7$$\"1](=nO(p'H#
Fhw$!1bU]'=Dl)**F+7$$\"1+]P>1W6BFhw$!1+]1\"38')***F+7$$\"1]7.sQ=EBFhw$
!1')3\\i&[$)***F+7$$\"1+voCr#4M#Fhw$!1@RWzf=')**F+7$$\"1]PMx.nbBFhw$!1
e/R2yei**F+7$$\"1+++IOTqBFhw$!1s*Q')*G-G**F+7$$\"1+]Ppj6NCFhw$!1y+fu?j
e'*F+7$$\"1++v3\">)*\\#Fhw$!1!3EK>PuA*F+7$$\"1++DEP/BEFhw$!1q,$e;7\")4
)F+7$$\"1++](o:;v#Fhw$!1:cNm4\"[q'F+7$$\"1++v$)[opGFhw$!1EYc)>zPT&F+7$
$\"1++]i%Qq*HFhw$!1`V]4+B[TF+7$$\"1++vQIKHJFhw$!14_/zRLrIF+7$$\"1++D^r
ZWKFhw$!1=DY(40xP#F+7$$\"1+]P\\>m1LFhw$!1a5Bfdp0@F+7$$\"1++]Zn%)oLFhw$
!1%ym;W?!3>F+7$$\"1+]7Q#o4S$Fhw$!1r^Fb%)QN=F+7$$\"1++vG(*3LMFhw$!1ZE1j
]'Hy\"F+7$$\"1+]P>7@lMFhw$!1mn1*y63v\"F+7$$\"1+++5FL(\\$Fhw$!1)yZU\"\\
'*Q<F+7$$\"1+](=Kd(GNFhw$!11EO/\"Qqu\"F+7$$\"1++vL>=gNFhw$!1/K8P-bu<F+
7$$\"1+]iXlg\"f$Fhw$!1![%Ry<Z@=F+7$$\"1++]d6.BOFhw$!1@@Nr0v()=F+7$$\"1
+]785%Qo$Fhw$!1t()4JYmq?F+7$$\"1++vo3lWPFhw$!1DN(f#4&[K#F+7$$\"1++]A))
ozQFhw$!1NrG%y;c8$F+7$$\"1+++Ik-,SFhw$!14Y**)QW08%F+7$$\"1+++D-eITFhw$
!1Rd81%*e;aF+7$$\"1++v=_(zC%Fhw$!1m6v'*zE+nF+7$$\"1+++b*=jP%Fhw$!1A?#)
f9b\"4)F+7$$\"1++v3/3(\\%Fhw$!1,B\\ePR.#*F+7$$\"1***\\im&>gXFhw$!1$[')
)=cMK'*F+7$$\"1++vB4JBYFhw$!1xvR#**)45**F+7$$\"1]i!*)fP(QYFhw$!1TP9fHu
]**F+7$$\"1+D1uU;aYFhw$!1V^3#3w&z**F+7$$\"1](=#\\4fpYFhw$!1l7vC\"fg***
F+7$$\"1+]PCw,&o%Fhw$!1N:3@)f'****F+7$$\"1]7`*HW/q%Fhw$!18ofO]&)*)**F+
7$$\"1*\\(ou4(er%Fhw$!1j='H/Lh'**F+7$$\"1]P%)\\wHJZFhw$!1H8#Q!f*z#**F+
7$$\"1+++DVsYZFhw$!1]`-p>'\\()*F+7$$\"1+](=_D8\"[Fhw$!1(z(G!Q26[*F+7$$
\"1++v=n#f([Fhw$!1Qe:=^U*y)F+7$$\"1+]P\\`9Q\\Fhw$!107`.SECyF+7$$\"1+++
!)RO+]Fhw$!1cP37*G;c'F+7$$\"1,+D;:*R1&Fhw$!1,![iCn_(\\F+7$$\"1++]_!>w7
&Fhw$!1.X3t&[N7$F+7$$\"1+Dc'Qp\"f^Fhw$!1LR[<jUB@F+7$$\"1+]i?(>2>&Fhw$!
1m(3-X+23\"F+7$$\"1,voa+FA_Fhw$!1'40.6:b+'!#>7$$\"1++v)Q?QD&Fhw$\"1mJ%
**H^&)3\"F+7$$\"1,D1p=\"GG&Fhw$\"1l!)>@(y-5#F+7$$\"1+]P\\L!=J&Fhw$\"1)
y$)*z'Gf5$F+7$$\"1+voH[zS`Fhw$\"1q1)[q?K4%F+7$$\"1+++5jyp`Fhw$\"1dmg&*
H<\\]F+7$$\"1+]7=Q,.aFhw$\"1s2m%z\"z)3'F+7$$\"1++DE8COaFhw$\"1fIR*>H&[
qF+7$$\"1+]PM)o%paFhw$\"1hLk<CD2zF+7$$\"1++]Ujp-bFhw$\"1cT[h66W')F+7$$
\"1++D,X8ibFhw$\"1x\"e8O>gf*F+7$$\"1+++gEd@cFhw$\"1,vz8ZK$***F+7$$\"1]
PfGgTPcFhw$\"1R+#37:_***F+7$$\"1+v=(RfKl&Fhw$\"1E\"3m(*=6&**F+7$$\"1]7
ylF5pcFhw$\"1/x()3,Ag)*F+7$$\"1+]PMh%\\o&Fhw$\"1S,o@U#>s*F+7$$\"1+DcrG
j;dFhw$\"1e5+f&e>I*F+7$$\"1++v3'>$[dFhw$\"1ORsKtU\"p)F+7$$\"1+]PfykydF
hw$\"1/yz\"yiF$zF+7$$\"1+++5h(*3eFhw$\"1*R'3Hmp6qF+7$$\"1+]igVIReFhw$
\"1e\\n;`KSfF+7$$\"1++D6EjpeFhw$\"1)=)[jx*[t%F+7$$\"1+vVeWA-fFhw$\"1+@
]>YT8LF+7$$\"1,]i0j\"[$fFhw$\"196!oM_5z\"F+7$$\"1+D\"G:3u'fFhw$\"1/c#Q
(eHI?F/7$$\"\"'F($!1s')f!3+7T\"F+-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-F$6%
7]r7$F($\"1=J?wu%*HpFhw7$F3$\"1'4NLAWoY'Fhw7$F=$\"13GP@H^)o&Fhw7$FB$\"
1)=fs&Qw[YFhw7$FG$\"17;\"oF78T$Fhw7$FL$\"1()>)H6ByA#Fhw7$FQ$\"138]=HfV
**F+7$F_o$!14o5nRHGCF+7$Fio$!1@SD^G+S9Fhw7$F^p$!1\\UAsYA*o#Fhw7$Fcp$!1
3[YCZ())y$Fhw7$Fhp$!1*p+wDr)*p%Fhw7$F]q$!1)*[Uv5x$R&Fhw7$Fbq$!1XHv;APb
eFhw7$Fgq$!10gSTLhsgFhw7$$\"1++DcHiIXF+$!10s#[u)Q!4'Fhw7$F\\r$!1.e;w]C
\\gFhw7$$\"1,+voan_[F+$!1Z>xzH6^fFhw7$Far$!13@C+\"G%)z&Fhw7$Ffr$!1&\\[
[*e*RM&Fhw7$F[s$!1X.%f\">e7ZFhw7$F`s$!1/mwK\">i$RFhw7$Fes$!1vHic$3+0$F
hw7$Fjs$!1L\\&3U-@;#Fhw7$F_t$!1!4W'QJKS7Fhw7$Fit$!1s-mt\")HGJF+7$Fcu$
\"1Fp-e))*)RfF+7$$\"1****\\7_9#z(F+$\"1Za2NKl&[\"Fhw7$Fhu$\"1I-!pJ^iI#
Fhw7$$\"1++]i!RvS)F+$\"1n?1\"o!QOIFhw7$F]v$\"12j#\\aS2m$Fhw7$Fgv$\"1OP
Z$[XNd%Fhw7$Faw$\"1[VV%zK![\\Fhw7$$\"1+](=%=n95Fhw$\"1s^+Rl,f\\Fhw7$Ff
w$\"1ul#Ro#oQ\\Fhw7$$\"1+]7[=RY5Fhw$\"1\\*)o\\_8))[Fhw7$F\\x$\"1l\\jVQ
k3[Fhw7$Fax$\"1Cy`\"QF'oXFhw7$Ffx$\"1aT7pfTJUFhw7$F`y$\"1f%zu(=#QH$Fhw
7$Fjy$\"1`4T@toR@Fhw7$Fdz$\"1k>,+I\\\\5Fhw7$Fh[l$!1N<1cg6.CF/7$F]\\l$!
1[&Qal$yG6Fhw7$Fb\\l$!1ta.7aeb?Fhw7$Fg\\l$!1pG19c=jFFhw7$F\\]l$!14!R%G
[ZHKFhw7$Fa]l$!1U*=[(HfoLFhw7$Ff]l$!1o)[h(e\\aMFhw7$$\"1++]i'y(3<Fhw$!
1KY5L\\MyMFhw7$F[^l$!1MqFu()***[$Fhw7$$\"1++]dZ3S<Fhw$!16ntor!**[$Fhw7
$F`^l$!1+sQ'e]&yMFhw7$Fe^l$!1%e'yu#[2N$Fhw7$Fj^l$!1v*RqD+v5$Fhw7$Fd_l$
!1j=b?B%pA#Fhw7$F^`l$!1*3Lx89%\\8Fhw7$Fh`l$!1VQW)\\UH)RF+7$F`cl$\"1=vD
sUp0FF+7$Fjcl$\"1Pj.gjn4xF+7$$\"1++]<9VhDFhw$\"1nM`.*3tC*F+7$F_dl$\"1@
?C0R+H5Fhw7$$\"1+](oqHto#Fhw$\"1:CZ>\"Q14\"Fhw7$Fddl$\"1PuOwC\\56Fhw7$
$\"1+]i&G]1\"GFhw$\"1\"G5*Rhd(4\"Fhw7$Fidl$\"1$QS=*=\"*f5Fhw7$F^el$\"1
?)G(Ra\"H:*F+7$Fcel$\"1FT$ps;_0(F+7$Fhel$\"1X\\(*>g*Q'\\F+7$Fbfl$\"1TJ
>,b([d#F+7$Ffgl$\"1ssR**>I`_!#=7$Fjhl$!1%G'\\>?Q;CF+7$Fdil$!1=q,-&[*eZ
F+7$Fiil$!1*><`'e!3@(F+7$F^jl$!1-8]'))ed7*F+7$Fcjl$!1&>zyRH,1\"Fhw7$$
\"1**\\(=sx#*=%Fhw$!1y\"Q*4Va(4\"Fhw7$Fhjl$!1:R0D#*\\56Fhw7$$\"1+](o3Z
@J%Fhw$!1o\"4]Of44\"Fhw7$F][m$!1)R<2PT)H5Fhw7$$\"1+](=o*pOWFhw$!1$o&3R
e(fG*F+7$Fb[m$!1C-GYld*z(F+7$F\\\\m$!14kU(3Bd+$F+7$Fd^m$\"1P+NdHuIRF+7
$F^_m$\"1#QLp@NCJ\"Fhw7$Fh_m$\"16*Gv<2WE#Fhw7$Fb`m$\"1'3,-)QO#4$Fhw7$F
g`m$\"1;h3s\\mUKFhw7$F\\am$\"1Y&)Q/`jhLFhw7$$\"1]il()[\\1_Fhw$\"1]e7[p
)yS$Fhw7$Faam$\"1\"Q<#)[RXW$Fhw7$$\"1^(=<AX!Q_Fhw$\"17nang-rMFhw7$Fgam
$\"1S;heqz'[$Fhw7$$\"1^i!*GhJo_Fhw$\"1dG:N\")Q\"\\$Fhw7$F\\bm$\"1=ezAR
4'[$Fhw7$$\"1](=#4wI(H&Fhw$\"1?zbHXaqMFhw7$Fabm$\"1xu:ETRWMFhw7$Ffbm$
\"1q,7\\a/fLFhw7$F[cm$\"1ns(*)QyyA$Fhw7$Fecm$\"1g]L]!fpu#Fhw7$F_dm$\"1
>m:9S&Q,#Fhw7$Fddm$\"18\"G0F4/;\"Fhw7$Fidm$\"1!4It9?,b\"F+7$F]fm$!1u&R
Q]cL-\"Fhw7$Fgfm$!1@![A(Q'QA#Fhw7$Fagm$!1^XzhVd#H$Fhw7$F[hm$!1XjCd:MuT
Fhw7$F`hm$!11.Hl*\\I`%Fhw7$Fehm$!1yn#3F!*3z%Fhw7$$\"1^(=#HA6^fFhw$!1$>
mv)*4v([Fhw7$Fjhm$!1)[X,6*zL\\Fhw7$$\"1]iSwSq$)fFhw$!17B2vjNe\\Fhw7$F_
im$!1FA+$[i*\\\\FhwFcim-%*LINESTYLEG6#\"\"#-F$6$7S7$$\"1Vr;6A`\"o%Fhw$
!\"'F(7$Fabo$!1+++]TVQdFhw7$Fabo$!1++]-r%3^&Fhw7$Fabo$!1+++l;!\\D&Fhw7
$Fabo$!1+++b'fs*\\Fhw7$Fabo$!1++]s@%3u%Fhw7$Fabo$!1++]U.6.XFhw7$Fabo$!
1++]-G&pD%Fhw7$Fabo$!1++]AjP-SFhw7$Fabo$!1++]sih[PFhw7$Fabo$!1+++qGf([
$Fhw7$Fabo$!1+++:LodKFhw7$Fabo$!1+++5'f))*HFhw7$Fabo$!1+++]J(*QFFhw7$F
abo$!1+++!RC&)[#Fhw7$Fabo$!1++]AH4hAFhw7$Fabo$!1+++5\\l!*>Fhw7$Fabo$!1
+++S%e:w\"Fhw7$Fabo$!1++]#yk]\\\"Fhw7$Fabo$!1+++SF<f7Fhw7$Fabo$!1++]#y
h.+\"Fhw7$Fabo$!1(****\\ZD\"RvF+7$Fabo$!1'*****\\ion\\F+7$Fabo$!1'****
\\K-jg#F+7$Fabo$!16,++]2BfFhhn7$Fabo$\"1*****\\xgke#F+7$Fabo$\"1)****
\\-V&*)[F+7$Fabo$\"1.++]\\$pP(F+7$Fabo$\"1'******>am%**F+7$Fabo$\"1+++
:B1Y7Fhw7$Fabo$\"1++]P<I*[\"Fhw7$Fabo$\"1+++XwPf<Fhw7$Fabo$\"1******fG
0-?Fhw7$Fabo$\"1+++]/;hAFhw7$Fabo$\"1****\\P/&f\\#Fhw7$Fabo$\"1,++5zj_
FFhw7$Fabo$\"1****\\<3;%*HFhw7$Fabo$\"1++]Z=iYKFhw7$Fabo$\"1******\\'[
M\\$Fhw7$Fabo$\"1****\\PM&=v$Fhw7$Fabo$\"1,++gzs+SFhw7$Fabo$\"1+++0\"Q
_D%Fhw7$Fabo$\"1,+]x2k2XFhw7$Fabo$\"1,++?EdRZFhw7$Fabo$\"1+++&o#R0]Fhw
7$Fabo$\"1+++?`9V_Fhw7$Fabo$\"1++]<#Rm\\&Fhw7$Fabo$\"1++]A_ERdFhw7$Fab
oF_im-Fdim6&FfimF($\"*++++\"!\")F(-F$6$7S7$$\"1dG$))yn%=BFhwFcbo7$F\\
\\pFfbo7$F\\\\pFibo7$F\\\\pF\\co7$F\\\\pF_co7$F\\\\pFbco7$F\\\\pFeco7$
F\\\\pFhco7$F\\\\pF[do7$F\\\\pF^do7$F\\\\pFado7$F\\\\pFddo7$F\\\\pFgdo
7$F\\\\pFjdo7$F\\\\pF]eo7$F\\\\pF`eo7$F\\\\pFceo7$F\\\\pFfeo7$F\\\\pFi
eo7$F\\\\pF\\fo7$F\\\\pF_fo7$F\\\\pFbfo7$F\\\\pFefo7$F\\\\pFhfo7$F\\\\
pF[go7$F\\\\pF^go7$F\\\\pFago7$F\\\\pFdgo7$F\\\\pFggo7$F\\\\pFjgo7$F\\
\\pF]ho7$F\\\\pF`ho7$F\\\\pFcho7$F\\\\pFfho7$F\\\\pFiho7$F\\\\pF\\io7$
F\\\\pF_io7$F\\\\pFbio7$F\\\\pFeio7$F\\\\pFhio7$F\\\\pF[jo7$F\\\\pF^jo
7$F\\\\pFajo7$F\\\\pFdjo7$F\\\\pFgjo7$F\\\\pFjjo7$F\\\\pF][p7$F\\\\pF`
[p7$F\\\\pF_imFc[p-F$6$7S7$$\"1+++++++NFhwFcbo7$Fb_pFfbo7$Fb_pFibo7$Fb
_pF\\co7$Fb_pF_co7$Fb_pFbco7$Fb_pFeco7$Fb_pFhco7$Fb_pF[do7$Fb_pF^do7$F
b_pFado7$Fb_pFddo7$Fb_pFgdo7$Fb_pFjdo7$Fb_pF]eo7$Fb_pF`eo7$Fb_pFceo7$F
b_pFfeo7$Fb_pFieo7$Fb_pF\\fo7$Fb_pF_fo7$Fb_pFbfo7$Fb_pFefo7$Fb_pFhfo7$
Fb_pF[go7$Fb_pF^go7$Fb_pFago7$Fb_pFdgo7$Fb_pFggo7$Fb_pFjgo7$Fb_pF]ho7$
Fb_pF`ho7$Fb_pFcho7$Fb_pFfho7$Fb_pFiho7$Fb_pF\\io7$Fb_pF_io7$Fb_pFbio7
$Fb_pFeio7$Fb_pFhio7$Fb_pF[jo7$Fb_pF^jo7$Fb_pFajo7$Fb_pFdjo7$Fb_pFgjo7
$Fb_pFjjo7$Fb_pF][p7$Fb_pF`[p7$Fb_pF_imFc[p-F$6$7S7$$\"1^e_+J$)p8FhwFc
bo7$FhbpFfbo7$FhbpFibo7$FhbpF\\co7$FhbpF_co7$FhbpFbco7$FhbpFeco7$FhbpF
hco7$FhbpF[do7$FhbpF^do7$FhbpFado7$FhbpFddo7$FhbpFgdo7$FhbpFjdo7$FhbpF
]eo7$FhbpF`eo7$FhbpFceo7$FhbpFfeo7$FhbpFieo7$FhbpF\\fo7$FhbpF_fo7$Fhbp
Fbfo7$FhbpFefo7$FhbpFhfo7$FhbpF[go7$FhbpF^go7$FhbpFago7$FhbpFdgo7$Fhbp
Fggo7$FhbpFjgo7$FhbpF]ho7$FhbpF`ho7$FhbpFcho7$FhbpFfho7$FhbpFiho7$Fhbp
F\\io7$FhbpF_io7$FhbpFbio7$FhbpFeio7$FhbpFhio7$FhbpF[jo7$FhbpF^jo7$Fhb
pFajo7$FhbpFdjo7$FhbpFgjo7$FhbpFjjo7$FhbpF][p7$FhbpF`[p7$FhbpF_imFc[p-
F$6$7S7$$\"1(yZX'Qi)G(F+Fcbo7$F^fpFfbo7$F^fpFibo7$F^fpF\\co7$F^fpF_co7
$F^fpFbco7$F^fpFeco7$F^fpFhco7$F^fpF[do7$F^fpF^do7$F^fpFado7$F^fpFddo7
$F^fpFgdo7$F^fpFjdo7$F^fpF]eo7$F^fpF`eo7$F^fpFceo7$F^fpFfeo7$F^fpFieo7
$F^fpF\\fo7$F^fpF_fo7$F^fpFbfo7$F^fpFefo7$F^fpFhfo7$F^fpF[go7$F^fpF^go
7$F^fpFago7$F^fpFdgo7$F^fpFggo7$F^fpFjgo7$F^fpF]ho7$F^fpF`ho7$F^fpFcho
7$F^fpFfho7$F^fpFiho7$F^fpF\\io7$F^fpF_io7$F^fpFbio7$F^fpFeio7$F^fpFhi
o7$F^fpF[jo7$F^fpF^jo7$F^fpFajo7$F^fpFdjo7$F^fpFgjo7$F^fpFjjo7$F^fpF][
p7$F^fpF`[p7$F^fpF_imFc[p-F$6$7S7$$\"1i#4J;@]5#F+Fcbo7$FdipFfbo7$FdipF
ibo7$FdipF\\co7$FdipF_co7$FdipFbco7$FdipFeco7$FdipFhco7$FdipF[do7$Fdip
F^do7$FdipFado7$FdipFddo7$FdipFgdo7$FdipFjdo7$FdipF]eo7$FdipF`eo7$Fdip
Fceo7$FdipFfeo7$FdipFieo7$FdipF\\fo7$FdipF_fo7$FdipFbfo7$FdipFefo7$Fdi
pFhfo7$FdipF[go7$FdipF^go7$FdipFago7$FdipFdgo7$FdipFggo7$FdipFjgo7$Fdi
pF]ho7$FdipF`ho7$FdipFcho7$FdipFfho7$FdipFiho7$FdipF\\io7$FdipF_io7$Fd
ipFbio7$FdipFeio7$FdipFhio7$FdipF[jo7$FdipF^jo7$FdipFajo7$FdipFdjo7$Fd
ipFgjo7$FdipFjjo7$FdipF][p7$FdipF`[p7$FdipF_imFc[p-F$6$7S7$$\"1\\TZ**o
;IcFhwFcbo7$Fj\\qFfbo7$Fj\\qFibo7$Fj\\qF\\co7$Fj\\qF_co7$Fj\\qFbco7$Fj
\\qFeco7$Fj\\qFhco7$Fj\\qF[do7$Fj\\qF^do7$Fj\\qFado7$Fj\\qFddo7$Fj\\qF
gdo7$Fj\\qFjdo7$Fj\\qF]eo7$Fj\\qF`eo7$Fj\\qFceo7$Fj\\qFfeo7$Fj\\qFieo7
$Fj\\qF\\fo7$Fj\\qF_fo7$Fj\\qFbfo7$Fj\\qFefo7$Fj\\qFhfo7$Fj\\qF[go7$Fj
\\qF^go7$Fj\\qFago7$Fj\\qFdgo7$Fj\\qFggo7$Fj\\qFjgo7$Fj\\qF]ho7$Fj\\qF
`ho7$Fj\\qFcho7$Fj\\qFfho7$Fj\\qFiho7$Fj\\qF\\io7$Fj\\qF_io7$Fj\\qFbio
7$Fj\\qFeio7$Fj\\qFhio7$Fj\\qF[jo7$Fj\\qF^jo7$Fj\\qFajo7$Fj\\qFdjo7$Fj
\\qFgjo7$Fj\\qFjjo7$Fj\\qF][p7$Fj\\qF`[p7$Fj\\qF_imFc[p-%&TITLEG6#%Hfu
nction~in~solid,~derivative~in~dottedG-%+AXESLABELSG6$Q\"x6\"%!G-%%VIE
WG6$;F(F_im%(DEFAULTG" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 
45.000000 0 }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 84 "One can use fsolve
 to determine exactly where the x-intercepts of the function are. " }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "x1:=fsolve(f(x)=0,x=1/2);
\nx2:=fsolve(f(x)=0,x=1);\nx3:=fsolve(f(x)=0,x=2);\nx4:=fsolve(f(x)=0,
x=5);\nx5:=fsolve(f(x)=0,x=6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x
1G$\"+\\t='e%!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G$\"+h2[G5!\"
*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x3G$\"+0cbx<!\"*" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#x4G$\"+&RWCA&!\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#x5G$\"+R#>:(f!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 114 "Plot y=(x^2-9)/(2x-4) and use the first derivative test to det
ermine where the graph is increasing and decreasing." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 83 "f:=x->(x^2-9)/(2*x-4);\nDf:=unapply(diff(
f(x),x),x);\nDDf:=unapply(diff(Df(x),x),x);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$%)operatorG%&arrowGF(*&,&*$)9$\"\"#
\"\"\"\"\"\"!\"*F3F2,&F0F1!\"%F3!\"\"F(F(F(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#DfGR6#%\"xG6\"6$%)operatorG%&arrowGF(,&*&9$\"\"\",&F
.\"\"#!\"%\"\"\"!\"\"F1*&,&*$)F.F1F/F3!\"*F3F/*$)F0\"\"#F/F4!\"#F(F(F(
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$DDfGR6#%\"xG6\"6$%)operatorG%&a
rrowGF(,(*&\"\"\"F.,&9$\"\"#!\"%\"\"\"!\"\"F1*&F0F.*$)F/\"\"#F.F4!\")*
&,&*$)F0F1F.F3!\"*F3F.*$)F/\"\"$F.F4\"\")F(F(F(" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 75 "Because of the singularity at x=2, the functions go \+
off the graph near x=2." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 208 
"a:=plot(f(x),x=-1..5,y=-15..15):\nb:=plot(Df(x),x=-1..5,y=-15..15,lin
estyle=2):\nc:=plot(DDf(x),x=-1..5,y=-15..15,linestyle=3):\ndisplay([a
,b,c],title=`function in solid, 1st deriv in dotted, 2nd deriv dashed`
);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6(-%'CURVESG
6$7ao7$$!\"\"\"\"!$\"1LLLLLLL8!#:7$$!1+++]2<#p)!#;$\"1?x.%H4nV\"F-7$$!
1++]7bBavF1$\"1(yyHv*eH:F-7$$!1+++D$3XF'F1$\"1&R?Y<nxj\"F-7$$!1+++v#)H
')\\F1$\"1[VzbMB^<F-7$$!1++]i3@/PF1$\"1l`^\"Ra%p=F-7$$!1++]7<b:DF1$\"1
r*Q,2mX)>F-7$$!1++]7Sw%G\"F1$\"1Zl*)z3J5@F-7$$!1')****\\7;)=\"!#=$\"1a
l\\fPm[AF-7$$\"1++]P'=pD\"F1$\"1Uu\")Q9n'R#F-7$$\"1,++]c.iDF1$\"1Z6Xh`
vhDF-7$$\"1+++DMe6PF1$\"1uQj:AT?FF-7$$\"1,++]>q0]F1$\"16'*3bbe<HF-7$$
\"1+++]U80jF1$\"1I$43Oe29$F-7$$\"1,++]!ytb(F1$\"1vz]D<4(Q$F-7$$\"1++](
QNXp)F1$\"1#[j(on/YOF-7$$\"1+++XDn/5F-$\"18Y#HZsS,%F-7$$\"1+++!y?#>6F-
$\"1ph(f91!)R%F-7$$\"1++v3wY_7F-$\"1eRL!\\q0(\\F-7$$\"1+++IOTq8F-$\"1'
oUT(y1ccF-7$$\"1++v3\">)*\\\"F-$\"1672'H,\"[nF-7$$\"1++DEP/B;F-$\"1'Q>
n\"3fV%)F-7$$\"1++](o:;v\"F-$\"1t*)>tb3%>\"!#97$$\"1+]i&G]1\"=F-$\"1DW
'p\"3%3^\"Fhr7$$\"1++v$)[op=F-$\"15ODc4\">6#Fhr7$$\"1+vVyK_,>F-$\"1mhH
#>ZPt#Fhr7$$\"1+]7t;OL>F-$\"1p#y[(GE[RFhr7$$\"1](o/(3G\\>F-$\"1=![+sql
7&Fhr7$$\"1+D\"y1+_'>F-$\"1h*4#[?=#Q(Fhr7$$\"1vV[m'fJ(>F-$\"1R(z%y#)*H
^*Fhr7$$\"1]i:l#>6)>F-$\"1\"[#H-m+W8!#87$$\"1)=#\\k!*4&)>F-$\"1:fp0Dn(
p\"Fau7$$\"1D\"GQ')y!*)>F-$\"1Rv65X34BFau7$$\"1iS;j'eI*>F-$\"1$)oz)*pd
@OFau7$$\"1++]i%Qq*>F-$\"1-ujujah%)Fau7$$\"17y]bB<,?F-$!1\"\\-zOe/8#!#
77$$\"1Dc^[iI0?F-$!1P3'G***R\"p%Fau7$$\"1QM_T,W4?F-$!1()f`\"==#GEFau7$
$\"1]7`MSd8?F-$!1qUNVPo@=Fau7$$\"1voa?=%=-#F-$!1yd:CS[C6Fau7$$\"1+Dc1'
4,.#F-$!1vnt<C\\,\")Fhr7$$\"1]Pfy^kY?F-$!19Tjx%ys:&Fhr7$$\"1+]i]2=j?F-
$!1oX&HNUPv$Fhr7$$\"1+vo%*=D'4#F-$!1;fjt)QDR#Fhr7$$\"1++vQIKH@F-$!1x.y
6unE<Fhr7$$\"1+++&4+p=#F-$!1_Y^7!o#G6Fhr7$$\"1++D^rZWAF-$!1og\")>fm.\"
)F-7$$\"1++]Zn%)oBF-$!1h%HlNfMf%F-7$$\"1+++5FL(\\#F-$!1r.%of\\\"yFF-7$
$\"1++]d6.BEF-$!1bfTK[7,<F-7$$\"1++vo3lWFF-$!1y!fP$f_\\)*F17$$\"1++]A)
)ozGF-$!19;P6hp?SF17$$\"1+++Ik-,IF-$\"14[P/)em2$FU7$$\"1+++D-eIJF-$\"1
yzr@:OSNF17$$\"1++v=_(zC$F-$\"1g%[>.Fu?'F17$$\"1+++b*=jP$F-$\"1\")Qk11
?<()F17$$\"1++v3/3(\\$F-$\"1QJ.@Kiy5F-7$$\"1++vB4JBOF-$\"1L(eS8$fr7F-7
$$\"1+++DVsYPF-$\"1.V'))p6@W\"F-7$$\"1++v=n#f(QF-$\"1>=\\+()G0;F-7$$\"
1+++!)RO+SF-$\"1$32hV4/v\"F-7$$\"1++]_!>w7%F-$\"1;pcZry))=F-7$$\"1++v)
Q?QD%F-$\"1,)[q\\#o<?F-7$$\"1+++5jypVF-$\"1!RcarX*H@F-7$$\"1++]Ujp-XF-
$\"1)=hiaDCD#F-7$$\"1+++gEd@YF-$\"1A%yDFgrN#F-7$$\"1++v3'>$[ZF-$\"1!4(
RaI^kCF-7$$\"1++D6Ejp[F-$\"1BD*\\kCOc#F-7$$\"\"&F*$\"1nmmmmmmEF--%'COL
OURG6&%$RGBG$\"#5F)F*F*-F$6%7co7$F($\"1xxxxxxxxF17$F/$\"1!QAU0zn.)F17$
F5$\"1vqAbUy#H)F17$F:$\"1B]#>g_8i)F17$F?$\"179>f\")Q/!*F17$FD$\"1l)Ru
\\s#\\%*F17$FI$\"1-7eN@XJ**F17$FN$\"10;-<i#=0\"F-7$FS$\"1o?Wg!eU7\"F-7
$FY$\"10\")=$>O;@\"F-7$Fhn$\"1sdxL]9A8F-7$F]o$\"1oIl*)\\GU9F-7$Fbo$\"1
59NEj&>h\"F-7$Fgo$\"1M?>2D)H$=F-7$F\\p$\"1c%)*4a!z9@F-7$Fap$\"1!>yeXuf
X#F-7$Ffp$\"1)Q4i\\FN-$F-7$F[q$\"15u,(='fAPF-7$F`q$\"1x.iZ^$Q(\\F-7$Fe
q$\"16jS?]42oF-7$Fjq$\"13/ZFoF\\5Fhr7$F_r$\"1@#4Uat$4=Fhr7$Fdr$\"1hBqf
v?-TFhr7$Fjr$\"12l`cg&G-(Fhr7$F_s$\"19v#)>W9x9Fau7$Fds$\"1$zAhBSHe#Fau
7$Fis$\"1u'45R&yMcFau7$F^t$\"1vOU^qVB(*Fau7$Fct$\"1\\;%yV\\[1#F[w7$Fht
$\"18$e`Sx2Z$F[w7$F]u$\"10\"3g*QZ8qF[w7$Fcu$\"1DoK7S)f7\"!#67$Fhu$\"15
8fcJ6'4#Fjgl7$F]v$\"1#GB3v#p)=&Fjgl7$Fbv$\"1$Q(z2KS]G!#57$Fgv$\"10[LwH
&*==!\"*7$F]w$\"1v+\"o&f1z))Fjgl7$Fbw$\"1Wf\"R\"QP0GFjgl7$Fgw$\"19;P-'
poN\"Fjgl7$F\\x$\"1/Z[yY(3C&F[w7$Fax$\"113\"Q'44eFF[w7$$\"1D\"yDRx$Q?F
-$\"1A%e%y!>zp\"F[w7$Ffx$\"1*f**)*3<&\\6F[w7$$\"1v$4Y'H\"\\0#F-$\"1utF
>9o&H)Fau7$F[y$\"1S9hXu#yE'Fau7$F`y$\"1A\")4gQ\\.FFau7$Fey$\"1Tv<:w\")
*\\\"Fau7$Fjy$\"1$QBeLMo?(Fhr7$F_z$\"1u_**4\\wKUFhr7$Fdz$\"1Bo@sxe()=F
hr7$Fiz$\"1tqaW^vg5Fhr7$F^[l$\"1K)GxA80%pF-7$Fc[l$\"15wC-j_3]F-7$Fh[l$
\"15jDC,fIPF-7$F]\\l$\"10*))3uv[*HF-7$Fb\\l$\"1ko#3jdeX#F-7$Fg\\l$\"1$
pa;1'>0@F-7$F\\]l$\"1SO,i3y>=F-7$Fa]l$\"1L9]#4\\ah\"F-7$Ff]l$\"1WNU*y;
([9F-7$F[^l$\"1fH'e:\"R>8F-7$F`^l$\"1h<d)p3/@\"F-7$Fe^l$\"15ceuDxC6F-7
$Fj^l$\"1@C;O5F_5F-7$F__l$\"1AB1QVa@**F17$Fd_l$\"1u%)z+kl^%*F17$Fi_l$
\"1b\"eGk&Q\"**)F17$F^`l$\"1&pt&H1hP')F17$Fc`l$\"1*\\\")*Q)G)4$)F17$Fh
`l$\"1&HA#Q'**e.)F17$F]al$\"1zxxxxxxxF1Faal-%*LINESTYLEG6#\"\"#-F$6%7c
o7$F($\"1_=&=&=&=&=F17$F/$\"1qtI#z*z;@F17$F5$\"10S]]&Q+R#F17$F:$\"13(G
d8_lv#F17$F?$\"1H8'\\Bn_?$F17$FD$\"1tw;]L*Rv$F17$FI$\"1Aq&RF&[!Q%F17$F
N$\"1$G$[1e<&=&F17$FS$\"1K185U()QiF17$FY$\"17<5\\!)e$f(F17$Fhn$\"1zjrg
$p$H%*F17$F]o$\"1crZ6,+d6F-7$Fbo$\"1%H'RLA<$[\"F-7$Fgo$\"1\\sB6%*oY>F-
7$F\\p$\"1&>\"[2#zbf#F-7$Fap$\"1c61Y$G-Y$F-7$Ffp$\"1/o*>H[22&F-7$F[q$
\"1hTOsEg<tF-7$F`q$\"1a&*)3)3'p>\"Fhr7$Feq$\"1Lv-Tyc.?Fhr7$Fjq$\"1(y%Q
\\<m&*RFhr7$F_r$\"1K-EG$HYL*Fhr7$Fdr$\"10$>80`GE$Fau7$Fjr$\"1[y)ezb]O(
Fau7$F_s$\"1NH@V4OfAF[w7$Fds$\"1_-E_PjN_F[w7$Fis$\"1w())Q)Ql*o\"Fjgl7$
F^t$\"10XWOqDKQFjgl7$Fct$\"1#oxZ.5k=\"Fdhl7$Fht$\"1Mxwtv'ee#Fdhl7$F]u$
\"1I!=Cj3(GuFdhl7$Fcu$\"1%HZ%QfA6:Fhhl7$Fhu$\"1C'\\(GTaQQFhhl7$F]v$\"1
nRN<\")*\\\\\"!\")7$Fbv$\"1p)3#p[%\\#>!\"(7$Fgv$!1t_;'>tI5$!\"'7$F]w$!
1&>[H]EmM$Fcfm7$Fbw$!1`<!Rb$RVfFhhl7$Fgw$!11ja`(R\"**>Fhhl7$$\"1j!Rv#z
q<?F-$!1q$)\\Y\"\\Y+*Fdhl7$F\\x$!1xiQ<zZ)z%Fdhl7$$\"1)oaNrvf-#F-$!17Ze
j^x_GFdhl7$Fax$!16&*4e<qJ=Fdhl7$Ffx$!1\\p@luiE\\Fjgl7$F[y$!17IB]7^#)>F
jgl7$F`y$!1d7$>f\\rg&F[w7$Fey$!1c+PTwv6BF[w7$Fjy$!1#=.g\")f%ewFau7$F_z
$!10&>(fV!=U$Fau7$Fdz$!1!*[MTN'R'**Fhr7$Fiz$!1c6@nSqkSFhr7$F^[l$!1(o)p
\"4xu1#Fhr7$Fc[l$!1OeO.,\"4@\"Fhr7$Fh[l$!1!fn(*\\Z[M(F-7$F]\\l$!1y#pF5
NY)\\F-7$Fb\\l$!1IKgX$=*fMF-7$Fg\\l$!1mT9n1[sDF-7$F\\]l$!1'[xMeTy\">F-
7$Fa]l$!1Gr*o!f;!\\\"F-7$Ff]l$!1)RE(*Qm)o6F-7$F[^l$!1+G#QxJ?Q*F17$F`^l
$!1?THg$\\Rd(F17$Fe^l$!1%)o8H*)eYiF17$Fj^l$!1AZr7mW\">&F17$F__l$!1E\"=
Zj!HnVF17$Fd_l$!1=-S<3,dPF17$Fi_l$!1B_'*Q$o'*=$F17$F^`l$!1]@\\Ei8vFF17
$Fc`l$!1Y,4P+i3CF17$Fh`l$!1M\"pyN!)e6#F17$F]al$!1`=&=&=&=&=F1Faal-Fg_m
6#\"\"$-%&TITLEG6#%Yfunction~in~solid,~1st~deriv~in~dotted,~2nd~deriv~
dashedG-%+AXESLABELSG6$Q\"x6\"Q\"yFd^n-%%VIEWG6$;F(F]al;$F-F*$\"#:F*" 
1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 121 "Plot y=x(x-1)(x-2)(x-3)(x-4) and use the first d
erivative test to determine where the graph is increasing and decreasi
ng." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "f:=x->x*(x-1)*(x-2)*
(x-3)*(x-4);\nDf:=unapply(diff(f(x),x),x);\nDDf:=unapply(diff(Df(x),x)
,x);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$%)operato
rG%&arrowGF(*,9$\"\"\",&F-F.!\"\"F.F.,&F-F.!\"#F.F.,&F-F.!\"$F.F.,&F-F
.!\"%F.F.F(F(F(" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#DfGR6#%\"xG6\"6$
%)operatorG%&arrowGF(,,**,&9$\"\"\"!\"\"F0F0,&F/F0!\"#F0F0,&F/F0!\"$F0
F0,&F/F0!\"%F0F0F0**F/F0F2\"\"\"F4F9F6F9F0**F/F9F.F9F4F9F6F9F0**F/F9F.
F9F2F9F6F9F0**F/F9F.F9F2F9F4F9F0F(F(F(" }}{PARA 12 "" 1 "" {XPPMATH 
20 "6#>%$DDfGR6#%\"xG6\"6$%)operatorG%&arrowGF(,6*(,&9$\"\"\"!\"#F0F0,
&F/F0!\"$F0F0,&F/F0!\"%F0F0\"\"#*(,&F/F0!\"\"F0F0F2\"\"\"F4F:F6*(F8F:F
.F:F4F:F6*(F8F:F.F:F2F:F6*(F/F0F2F:F4F:F6*(F/F:F.F:F4F:F6*(F/F:F.F:F2F
:F6*(F/F:F8F:F4F:F6*(F/F:F8F:F2F:F6*(F/F:F8F:F.F:F6F(F(F(" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 208 "a:=plot(f(x),x=-1..5,y=-15..15):\n
b:=plot(Df(x),x=-1..5,y=-15..15,linestyle=2):\nc:=plot(DDf(x),x=-1..5,
y=-15..15,linestyle=3):\ndisplay([a,b,c],title=`function in solid, 1st
 deriv in dotted, 2nd deriv dashed`);" }}{PARA 13 "" 1 "" {GLPLOT2D 
400 300 300 {PLOTDATA 2 "6(-%'CURVESG6$7X7$$!\"\"\"\"!$!$?\"F*7$$!1***
**\\P&3Y$*!#;$!1TJ$oa8-.\"!#87$$!1+++]2<#p)F0$!1\"3ON#G\"Gy)!#97$$!1,+
DJJ?B\")F0$!12*p!*Hbdf(F97$$!1++]7bBavF0$!1q=v?qUDlF97$$!1+++D$3XF'F0$
!1&*3YH#fO]%F97$$!1+++v#)H')\\F0$!1')4c&R$oQHF97$$!1++]i3@/PF0$!1d+hfa
[s<F97$$!1++]7<b:DF0$!1X1tb'>&*z*!#:7$$!1++]7Sw%G\"F0$!1L\\>'RDd)RFX7$
$!1')****\\7;)=\"!#=$!1V9`3:leG!#<7$$\"1++]P'=pD\"F0$\"1;9a?(=PH#FX7$$
\"1,++]c.iDF0$\"13r&*HT\\8MFX7$$\"1+++DMe6PF0$\"1;j$Rx,ni$FX7$$\"1,++]
>q0]F0$\"14YI0hryKFX7$$\"1+++]U80jF0$\"1'4`J`Lsa#FX7$$\"1,++]!ytb(F0$
\"1CMWZkNs;FX7$$\"1++](QNXp)F0$\"14Dy&>k(e&)F07$$\"1+++XDn/5FX$!17$RE*
)fDz#F^o7$$\"1+++!y?#>6FX$!1&eLju*pnjF07$$\"1++v3wY_7FX$!11h)R/L\\8\"F
X7$$\"1+++IOTq8FX$!1&f@np*[p8FX7$$\"1++v3\">)*\\\"FX$!1`I!oa^jS\"FX7$$
\"1++DEP/B;FX$!1HqGrjhZ7FX7$$\"1++](o:;v\"FX$!1O*[I+E'y\"*F07$$\"1++v$
)[op=FX$!1-AJ2(HB5&F07$$\"1++]i%Qq*>FX$!1myj7?g%=\"F^o7$$\"1++vQIKH@FX
$\"1(R.<XS^1&F07$$\"1++D^rZWAFX$\"1I+o@4@d!*F07$$\"1++]Zn%)oBFX$\"11qY
=)48B\"FX7$$\"1+++5FL(\\#FX$\"17urJ_q/9FX7$$\"1++]d6.BEFX$\"1te'p9'zw8
FX7$$\"1++vo3lWFFX$\"1!RJao-I9\"FX7$$\"1++]A))ozGFX$\"1K4Zx;3=kF07$$\"
1+++Ik-,IFX$!19/:!QUQ;'F[o7$$\"1+++D-eIJFX$!1x1+(**G6c)F07$$\"1++v=_(z
C$FX$!18!>^&RA*p\"FX7$$\"1+++b*=jP$FX$!1^Nilrq\"f#FX7$$\"1++v3/3(\\$FX
$!1%[_O&))>oKFX7$$\"1++vB4JBOFX$!1IjalS!Gi$FX7$$\"1+++DVsYPFX$!1G%*y&=
M(*R$FX7$$\"1++v=n#f(QFX$!1`*40hfDF#FX7$$\"1+++!)RO+SFX$\"1O`#*fd9U()F
[o7$$\"1++]_!>w7%FX$\"1ug:(p@E&RFX7$$\"1++v)Q?QD%FX$\"1/z%*G#>y#**FX7$
$\"1+++5jypVFX$\"1XVw=]cn<F97$$\"1++]Ujp-XFX$\"188n7Zn\")HF97$$\"1+++g
Ed@YFX$\"1_pxY`fAWF97$$\"1+]PMh%\\o%FX$\"1*\\8B/2&\\`F97$$\"1++v3'>$[Z
FX$\"1DDHuSe*R'F97$$\"1+++5h(*3[FX$\"1-5o*)fpHvF97$$\"1++D6Ejp[FX$\"1`
V6[?$>z)F97$$\"1,]i0j\"[$\\FX$\"1\\vB9SsI5F37$$\"\"&F*$\"$?\"F*-%'COLO
URG6&%$RGBG$\"#5F)F*F*-F$6%7]o7$F($\"$u#F*7$$!1++](oUIn*F0$\"1Al!HFubf
#F37$F.$\"1Px_taZcCF37$$!1****\\i!G\">!*F0$\"1uoMJ)zDK#F37$F5$\"1$=)=Z
\\w$>#F37$F;$\"1?B'*HtN\")>F37$F@$\"1TC#o(=M$y\"F37$$!1++v=>P9pF0$\"1)
3?;a\"3x:F37$FE$\"1<zWl%*Q(Q\"F37$$!1++++LSIcF0$\"1([128FB@\"F37$FJ$\"
1'Q%\\xSP_5F37$$!1++voXDXVF0$\"1RT%ym%yt!*F97$FO$\"13*f*[EldxF97$$!1++
](G\"))4JF0$\"1iLwl\"e.l'F97$FT$\"1!fP]enck&F97$FZ$\"1z0a5ypmQF97$Fin$
\"1tbMUk*=T#F97$F`o$\"1W5d#)o9,8F97$Feo$\"1;O!\\\"Rs?YFX7$Fjo$!1Qn_u*>
^,'F07$F_p$!1@#QTK7.X%FX7$Fdp$!1ZsuNK-XlFX7$Fip$!1`Nv&Q*QQsFX7$F^q$!13
yyw-)Q+(FX7$Fcq$!15$[x4\\H&fFX7$Fhq$!1jr4p#pui%FX7$F]r$!1e455ov?GFX7$F
br$!16W)=T.,;\"FX7$Fgr$\"1`'=-9'Q-cF07$F\\s$\"1HC@Ff^p>FX7$Fas$\"1npu?
(4O4$FX7$Ffs$\"1y[y.:rYPFX7$F[t$\"1o\">)R%o)**RFX7$F`t$\"11.f5=`]PFX7$
Fet$\"1-j'3bD87$FX7$Fjt$\"17a$)Rj#=0#FX7$F_u$\"1+'3Axvy&fF07$Fdu$!1AkL
`g9p5FX7$Fiu$!1D0yL_>!y#FX7$F^v$!1&[zC\\[Nh%FX7$Fcv$!1#>))\\Z[-,'FX7$F
hv$!1i\"*GG'\\S+(FX7$F]w$!1<='*)*>]LsFX7$Fbw$!14\\9Y%>GZ'FX7$Fgw$!18Zn
QSu-XFX7$F\\x$!1'\\U:tXI2)F07$Fax$\"1]&ohT;(yZFX7$Ffx$\"1JXPLXQ88F97$F
[y$\"1>![7>TOS#F97$F`y$\"1QjGAmkbQF97$Fey$\"1IXId([@o&F97$$\"1+]P\\L!=
J%FX$\"1&*\\$>=R[m'F97$Fjy$\"1;!3m`j_u(F97$$\"1++DE8COWFX$\"1BGtoz\"36
*F97$F_z$\"1m^Wk8/i5F37$$\"1++D,X8iXFX$\"15!fz#[(*47F37$Fdz$\"1K&*)Rvk
2P\"F37$Fiz$\"1!yQnO(4d:F37$F^[l$\"1$4i!Q#)ff<F37$Fc[l$\"1i*=EgE$p>F37
$Fh[l$\"1yye32P&>#F37$$\"1+vVeWA-\\FX$\"1ch-L>$QK#F37$F]\\l$\"1C,wKGMd
CF37$$\"1+D\"G:3u'\\FX$\"1y@waY-'f#F37$Fb\\lF`]lFf\\l-%*LINESTYLEG6#\"
\"#-F$6%7S7$F($!$]%F*7$F5$!1P:)z?ZL'QF37$F@$!1%*p#\\'eSdLF37$FE$!1B[<*
*\\[RGF37$FJ$!1a&>/sv-P#F37$FO$!1!\\%*ek.F&>F37$FT$!17>5ZbQ2;F37$FZ$!1
Sc]'*>.!H\"F37$Fin$!1fI.Lo\\-5F37$F`o$!1!))4Zs!3YvF97$Feo$!1UF%\\ztPP&
F97$Fjo$!1G*[ca;lv$F97$F_p$!1v-Bye,WAF97$Fdp$!18$psbm%G5F97$Fip$!11%pO
L!=*>\"FX7$F^q$\"1Z(*f0qc;]FX7$Fcq$\"1nw'H%o)Q,\"F97$Fhq$\"1K_J&))pdF
\"F97$F]r$\"1/ST#)z929F97$Fbr$\"1zT!>[\\'*Q\"F97$Fgr$\"1H#)pQ7F]7F97$F
\\s$\"1vV`R3uB5F97$Fas$\"1OoyI\"\\]9(FX7$Ffs$\"1G.Z%=$>lQFX7$F[t$\"1w,
Y]0c%)))F^o7$F`t$!1V_&G.Mk$QFX7$Fet$!1r2eh52UqFX7$Fjt$!1#Q!fu&yh+\"F97
$F_u$!1&pW'fx(fC\"F97$Fdu$!1A_4w@T&Q\"F97$Fiu$!1Ys!4ZF\"39F97$F^v$!1zi
U6ycx7F97$Fcv$!1O#f['Q9p**FX7$Fhv$!1!)RKi0*\\,&FX7$F]w$\"1gUs4vsL9FX7$
Fbw$\"1#=>u8Q_3\"F97$Fgw$\"1K$>#e4U>AF97$F\\x$\"10u\"Q)\\O&o$F97$Fax$
\"18\"p?4*\\=aF97$Ffx$\"1A0cI7PvvF97$F[y$\"1tt)p^k2+\"F37$F`y$\"1H6*Rl
fzG\"F37$Fey$\"1&*[5HIg8;F37$Fjy$\"1F[r1Yv]>F37$F_z$\"1T*R4H8VQ#F37$Fd
z$\"1:U76\\&p\"GF37$F^[l$\"1z%e-+fsK$F37$Fh[l$\"1OUSi`FlQF37$Fb\\l$\"$
]%F*Ff\\l-Fgjl6#\"\"$-%&TITLEG6#%Yfunction~in~solid,~1st~deriv~in~dott
ed,~2nd~deriv~dashedG-%+AXESLABELSG6$Q\"x6\"Q\"yF[em-%%VIEWG6$;F(Fb\\l
;$FXF*$\"#:F*" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 91 "f:=x->(2*x^2+x-6)/(x^2+3*x+2);\nDf:=unapply(diff(f(
x),x),x);\nDDf:=unapply(diff(Df(x),x),x);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$%)operatorG%&arrowGF(*&,(*$)9$\"\"#
\"\"\"F1F0\"\"\"!\"'F3F2,(F.F3F0\"\"$F1F3!\"\"F(F(F(" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%#DfGR6#%\"xG6\"6$%)operatorG%&arrowGF(,&*&,&9$\"\"
%\"\"\"F1\"\"\",(*$)F/\"\"#F2F1F/\"\"$F6F1!\"\"F1*&*&,(F4F6F/F1!\"'F1F
1,&F/F6F7F1F1F2*$)F3\"\"#F2F8!\"\"F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%$DDfGR6#%\"xG6\"6$%)operatorG%&arrowGF(,**&\"\"\"F.,(*$)9$\"\"
#F.\"\"\"F2\"\"$F3F4!\"\"\"\"%*&*&,&F2F7F4F4F4,&F2F3F5F4F4F.*$)F/\"\"#
F.F6!\"#*&*&,(F0F3F2F4!\"'F4F4)F;F3F.F.*$)F/\"\"$F.F6F3*&FBF.*$)F/\"\"
#F.F6F?F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 110 "Plot y=|x^2-6x+5| and use the fir
st derivative test to determine where the graph is increasing and decr
easing." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "f:=x->abs(x^2-6*
x+5);\nDf:=unapply(diff(f(x),x),x);\nDDf:=unapply(diff(Df(x),x),x);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$%)operatorG%&arrow
GF(-%$absG6#,(*$)9$\"\"#\"\"\"\"\"\"F2!\"'\"\"&F5F(F(F(" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#DfGR6#%\"xG6\"6$%)operatorG%&arrowGF(*&-%$abs
G6$\"\"\",(*$)9$\"\"#\"\"\"F0F4!\"'\"\"&F0F0,&F4F5F7F0F0F(F(F(" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$DDfGR6#%\"xG6\"6$%)operatorG%&arrow
GF(,&*&-%'signumG6$\"\"\",(*$)9$\"\"#\"\"\"F1F5!\"'\"\"&F1F1,&F5F6F8F1
F1F1-%$absGF0F6F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 95 "Though t
his function isn't even diffrentiable everywhere, MAPLE can still plot
 it's derivative!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 208 "a:=pl
ot(f(x),x=-2..7,y=-10..10):\nb:=plot(Df(x),x=-2..7,y=-10..10,linestyle
=2):\nc:=plot(DDf(x),x=-2..7,y=-10..10,linestyle=3):\ndisplay([a,b,c],
title=`function in solid, 1st deriv in dotted, 2nd deriv dashed`);" }}
{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6(-%'CURVESG6$7hn7
$$!\"#\"\"!$\"#@F*7$$!1++]7c#Q!=!#:$\"1+6`^Sn2>!#97$$!1+](oKNJj\"F0$\"
16Pr&H%fY<F37$$!1++v[i<T9F0$\"17hCZYSs:F37$$!1++DTZ%zC\"F0$\"1`8Z_M]/9
F37$$!1+]PH;jb5F0$\"1#p=8z9[C\"F37$$!1++vovKt()!#;$\"1*e`2$4P.6F37$$!1
,+v=g9FpFK$\"1T3!48Thj*F07$$!1++v=C#y,&FK$\"1,6^p)yCE)F07$$!1-+vV?i9JF
K$\"1OT+J>ylpF07$$!1)****\\_Yp:\"FK$\"1%4<w;`vq&F07$$\"1\"****\\P^Pn&!
#<$\"1Kl'H1%ziYF07$$\"1.++DHb3DFK$\"1f_xAmzdNF07$$\"1)****\\P,xX%FK$\"
1qn[!>!4CDF07$$\"1.++vq1OjFK$\"1!**)y9s\")*f\"F07$$\"1***\\73.=/)FK$\"
15-E#>Ti@)FK7$$\"1**\\7Gc%f0*FK$\"1Hc?`8MlQFK7$$\"1++]<)3q+\"F0$\"1&>D
xk9')z#F_o7$$\"1++v$**>H4\"F0$\"13]h(\\e/j$FK7$$\"1+++q6$)y6F0$\"14VOE
4WLoFK7$$\"1+]789qy8F0$\"1Fr>#*3Rr8F07$$\"1+++X/ib:F0$\"1,!)4,xw8>F07$
$\"1+]7j'G(\\<F0$\"1,))=%e@oV#F07$$\"1+]P*elX$>F0$\"1ghl;&\\['GF07$$\"
1,+DJNUF@F0$\"1#y$=1.hQKF07$$\"1+]iDt_/BF0$\"1&o(>fxJ;NF07$$\"1***\\Pp
db\\#F0$\"1#=l'fz`XPF07$$\"1+]7eX)Rp#F0$\"1^SL\\XN1RF07$$\"1+](os:n'GF
0$\"1Tv`-`B#)RF07$$\"1++D@,F`IF0$\"15?=%Hir*RF07$$\"1*****\\1**fC$F0$
\"1D\">+Y%[RRF07$$\"1++DOnaMMF0$\"1wW,M\"p6\"QF07$$\"1+]7.j(ph$F0$\"13
AQT-M>OF07$$\"1++vLK`>QF0$\"1m#z(y_OGLF07$$\"1*****\\kR:+%F0$\"1xK\\R$
=p*HF07$$\"1,+]P.(e>%F0$\"1Lw)e8%*)pDF07$$\"1+]7GG'>P%F0$\"1aKC)*zr<@F
07$$\"1,+]K%yWc%F0$\"1UBCMsS_:F07$$\"1**\\781iXZF0$\"1U5L]n3G&*FK7$$\"
1**\\P*\\$HS[F0$\"1%>\"eh$)>LhFK7$$\"1+]i&Qm\\$\\F0$\"1bK,l30fDFK7$$\"
1v$f$)R1\"e\\F0$\"1%ySqK$>e;FK7$$\"1]P46kC\")\\F0$\"1#p8G&eEmuF_o7$$\"
1P4Y<k\"G*\\F0$\"1\\d\")HEFoGF_o7$$\"1D\"GQU'Q/]F0$\"16*\\Eg$\\c<F_o7$
$\"17`>Ik&f,&F0$\"1MHeWG.3kF_o7$$\"1+DcOk_F]F0$\"1'H)f4Xj36FK7$$\"1]7.
ik!Q2&F0$\"11di>Ct1IFK7$$\"1++](['3?^F0$\"1'*3![9nw%\\FK7$$\"1*\\7GG))
p@&F0$\"1Q\"z7Yq.:*FK7$$\"1+]7y+*QJ&F0$\"19`k$H(3a8F07$$\"1,++qfa+bF0$
\"1XK3[,t_AF07$$\"1++vy&G9p&F0$\"1WA^%z(yVKF07$$\"1,]7$eI2)eF0$\"1.<b#
p3')H%F07$$\"1+++l%zY0'F0$\"1#o#*Qjm5L&F07$$\"1***\\P^WSD'F0$\"1pkY(p0
))e'F07$$\"1,++!**eBV'F0$\"1GQBO#)3\"y(F07$$\"1**\\78%zCi'F0$\"1UW^)4d
B7*F07$$\"1+](o\"*[W!oF0$\"1O66cJQZ5F37$$\"\"(F*$\"#7F*-%'COLOURG6&%$R
GBG$\"#5!\"\"F*F*-F$6%7co7$F($!#5F*7$F.$!1+++D7l2'*F07$F5$!1++v`1Fm#*F
07$F:$!1****\\(\\_B)))F07$F?$!1,+]#[*)e\\)F07$FD$!1++veKE6\")F07$FI$!1
++v8bmaxF07$FO$!1++v.#HaQ(F07$FT$!1++v$[kN+(F07$FY$!1++v3W#Hi'F07$Fhn$
!1+++0$*QJiF07$F]o$!1++]s\\_')eF07$Fco$!1*****\\T*G)\\&F07$Fho$!1+++D(
f%3^F07$F]p$!1*****\\e'yKZF07$$\"1,]7y]$*)=(FK$!1+]P%)H@iXF07$Fbp$!1++
v$QR;R%F07$$\"1*\\(oaV()[&)FK$!1,D1H^A!H%F07$Fgp$!1+]Pu3\"))=%F07$$\"1
]P%[E\"[4$*FK$!1]7.ZP5QTF07$$\"1+Dc,p,j&*FK$!1+vo>mR(3%F07$$\"1v=#*>Zy
*o*FK$!1Dc,cI/iSF07$$\"1]7GQDb;)*FK$!1]PM#\\*oOSF07$$\"1P4YZk$*z)*FK$!
18y]5F,CSF07$$\"1E1kc.KV**FK$!1u=nGfL6SF07$$\"1J?eE/n+5F0$\"1Pf$o9f')*
RF07$F\\q$\"1+++lB)f)RF07$Faq$\"1++]7+;9QF07$Ffq$\"1+++gwLUOF07$F[r$\"
1++vtrfUKF07$F`r$\"1,++5\"f())GF07$Fer$\"1***\\PnU0]#F07$Fjr$\"1***\\7
#)o38#F07$F_s$\"1****\\PH:X<F07$Fds$\"1++v[`%4R\"F07$Fis$\"1,+]7Y))35F
07$F^t$\"1,+]P)3.7'FK7$Fct$\"1%***\\iaolEFK7$Fht$!1&****\\U-a1\"FK7$F]
u$!1*)*****H\")*>\\FK7$Fbu$!1&****\\sM4p)FK7$Fgu$!1++D1E&RB\"F07$F\\v$
!1****\\nk1R;F07$Fav$!1*******GzI+#F07$Ffv$!1,++v1u\"R#F07$F[w$!1***\\
ilDRu#F07$F`w$!1,++lo&*GJF07$Few$!1***\\iAT7\\$F07$Fjw$!1)**\\()*pe!o$
F07$F_x$!1***\\7xK*pQF07$Fdx$!1\\(=nz7i\"RF07$Fix$!1+v=AG\\iRF07$$\"1V
tF99.()\\F0$!1'oa&GG1uRF07$F^y$!1v=#\\$Gj&)RF07$$\"1KXk?9g)*\\F0$!1j!*
GTG?(*RF07$Fcy$\"1]ilZGx3SF07$Fhy$\"1D1RgG\">.%F07$F]z$\"1+]7tG0bSF07$
Fbz$\"1+D1CHhZTF07$Fgz$\"1+++vH<SUF07$F\\[l$\"1**\\ill(RV%F07$Fa[l$\"1
***\\i:!yFYF07$Ff[l$\"1-++S>4,]F07$F[\\l$\"1++]dr&GQ&F07$F`\\l$\"1,+Dm
6YhdF07$Fe\\l$\"1******H*e$4hF07$Fj\\l$\"1****\\F!*33lF07$F_]l$\"1-++!
)zrkoF07$Fd]l$\"1***\\i#)e\\C(F07$Fi]l$\"1++vLy*)3wF07$F^^l$\"\")F*Fb^
l-%*LINESTYLEG6#\"\"#-F$6%7co7$F($Fj]mF*7$F.F_^m7$F5F_^m7$F:F_^m7$F?F_
^m7$FDF_^m7$FIF_^m7$FOF_^m7$FTF_^m7$FYF_^m7$FhnF_^m7$F]oF_^m7$FcoF_^m7
$FhoF_^m7$F]pF_^m7$FjalF_^m7$FbpF_^m7$FbblF_^m7$FgpF_^m7$FjblF_^m7$F_c
lF_^m7$FdclF_^m7$FiclF_^m7$F^dlF_^m7$FcdlF_^m7$FhdlF(7$F\\qF(7$FaqF(7$
FfqF(7$F[rF(7$F`rF(7$FerF(7$FjrF(7$F_sF(7$FdsF(7$FisF(7$F^tF(7$FctF(7$
FhtF(7$F]uF(7$FbuF(7$FguF(7$F\\vF(7$FavF(7$FfvF(7$F[wF(7$F`wF(7$FewF(7
$FjwF(7$F_xF(7$FdxF(7$FixF(7$F[jlF(7$F^yF(7$FcjlF(7$FcyF_^m7$FhyF_^m7$
F]zF_^m7$FbzF_^m7$FgzF_^m7$F\\[lF_^m7$Fa[lF_^m7$Ff[lF_^m7$F[\\lF_^m7$F
`\\lF_^m7$Fe\\lF_^m7$Fj\\lF_^m7$F_]lF_^m7$Fd]lF_^m7$Fi]lF_^m7$F^^lF_^m
Fb^l-Fh]m6#\"\"$-%&TITLEG6#%Yfunction~in~solid,~1st~deriv~in~dotted,~2
nd~deriv~dashedG-%+AXESLABELSG6$Q\"x6\"Q\"yFacm-%%VIEWG6$;F(F^^l;F]_l$
Fg^lF*" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "22 0 0" 0 }{VIEWOPTS 1 
1 0 1 1 1803 }