(***********************************************************************

                    Mathematica-Compatible Notebook

This notebook can be used on any computer system with Mathematica 3.0,
MathReader 3.0, or any compatible application. The data for the notebook 
starts with the line of stars above.

To get the notebook into a Mathematica-compatible application, do one of 
the following:

* Save the data starting with the line of stars above into a file
  with a name ending in .nb, then open the file inside the application;

* Copy the data starting with the line of stars above to the
  clipboard, then use the Paste menu command inside the application.

Data for notebooks contains only printable 7-bit ASCII and can be
sent directly in email or through ftp in text mode.  Newlines can be
CR, LF or CRLF (Unix, Macintosh or MS-DOS style).

NOTE: If you modify the data for this notebook not in a Mathematica-
compatible application, you must delete the line below containing the 
word CacheID, otherwise Mathematica-compatible applications may try to 
use invalid cache data.

For more information on notebooks and Mathematica-compatible 
applications, contact Wolfram Research:
  web: http://www.wolfram.com
  email: info@wolfram.com
  phone: +1-217-398-0700 (U.S.)

Notebook reader applications are available free of charge from 
Wolfram Research.
***********************************************************************)

(*CacheID: 232*)


(*NotebookFileLineBreakTest
NotebookFileLineBreakTest*)
(*NotebookOptionsPosition[     43438,       1061]*)
(*NotebookOutlinePosition[     44074,       1084]*)
(*  CellTagsIndexPosition[     44030,       1080]*)
(*WindowFrame->Normal*)



Notebook[{

Cell[CellGroupData[{
Cell["p. 513", "Subsection"],

Cell[CellGroupData[{

Cell["68.", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Plot[\((2 - x^2)\)/x^2, \ {x, \(-4\), 4}, \ PlotRange -> {\(-2\), 10}]
      \)], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.5 0.119048 0.103006 0.0515028 [
[.02381 .09051 -6 -9 ]
[.02381 .09051 6 0 ]
[.2619 .09051 -6 -9 ]
[.2619 .09051 6 0 ]
[.7381 .09051 -3 -9 ]
[.7381 .09051 3 0 ]
[.97619 .09051 -3 -9 ]
[.97619 .09051 3 0 ]
[.4875 0 -12 -4.5 ]
[.4875 0 0 4.5 ]
[.4875 .20601 -6 -4.5 ]
[.4875 .20601 0 4.5 ]
[.4875 .30902 -6 -4.5 ]
[.4875 .30902 0 4.5 ]
[.4875 .41202 -6 -4.5 ]
[.4875 .41202 0 4.5 ]
[.4875 .51503 -6 -4.5 ]
[.4875 .51503 0 4.5 ]
[.4875 .61803 -12 -4.5 ]
[.4875 .61803 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.02381 .10301 m
.02381 .10926 L
s
[(-4)] .02381 .09051 0 1 Mshowa
.2619 .10301 m
.2619 .10926 L
s
[(-2)] .2619 .09051 0 1 Mshowa
.7381 .10301 m
.7381 .10926 L
s
[(2)] .7381 .09051 0 1 Mshowa
.97619 .10301 m
.97619 .10926 L
s
[(4)] .97619 .09051 0 1 Mshowa
.125 Mabswid
.08333 .10301 m
.08333 .10676 L
s
.14286 .10301 m
.14286 .10676 L
s
.20238 .10301 m
.20238 .10676 L
s
.32143 .10301 m
.32143 .10676 L
s
.38095 .10301 m
.38095 .10676 L
s
.44048 .10301 m
.44048 .10676 L
s
.55952 .10301 m
.55952 .10676 L
s
.61905 .10301 m
.61905 .10676 L
s
.67857 .10301 m
.67857 .10676 L
s
.79762 .10301 m
.79762 .10676 L
s
.85714 .10301 m
.85714 .10676 L
s
.91667 .10301 m
.91667 .10676 L
s
.25 Mabswid
0 .10301 m
1 .10301 L
s
.5 0 m
.50625 0 L
s
[(-2)] .4875 0 1 0 Mshowa
.5 .20601 m
.50625 .20601 L
s
[(2)] .4875 .20601 1 0 Mshowa
.5 .30902 m
.50625 .30902 L
s
[(4)] .4875 .30902 1 0 Mshowa
.5 .41202 m
.50625 .41202 L
s
[(6)] .4875 .41202 1 0 Mshowa
.5 .51503 m
.50625 .51503 L
s
[(8)] .4875 .51503 1 0 Mshowa
.5 .61803 m
.50625 .61803 L
s
[(10)] .4875 .61803 1 0 Mshowa
.125 Mabswid
.5 .02575 m
.50375 .02575 L
s
.5 .0515 m
.50375 .0515 L
s
.5 .07725 m
.50375 .07725 L
s
.5 .12876 m
.50375 .12876 L
s
.5 .15451 m
.50375 .15451 L
s
.5 .18026 m
.50375 .18026 L
s
.5 .23176 m
.50375 .23176 L
s
.5 .25751 m
.50375 .25751 L
s
.5 .28327 m
.50375 .28327 L
s
.5 .33477 m
.50375 .33477 L
s
.5 .36052 m
.50375 .36052 L
s
.5 .38627 m
.50375 .38627 L
s
.5 .43777 m
.50375 .43777 L
s
.5 .46353 m
.50375 .46353 L
s
.5 .48928 m
.50375 .48928 L
s
.5 .54078 m
.50375 .54078 L
s
.5 .56653 m
.50375 .56653 L
s
.5 .59228 m
.50375 .59228 L
s
.25 Mabswid
.5 0 m
.5 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
.5 Mabswid
.02381 .05794 m
.06244 .05913 L
.10458 .06084 L
.14415 .06303 L
.18221 .06596 L
.20178 .06792 L
.22272 .07049 L
.24402 .07378 L
.26416 .07775 L
.28414 .08283 L
.30258 .08896 L
.3213 .09722 L
.33207 .10327 L
.34193 .10993 L
.36134 .12743 L
.37204 .14066 L
.38221 .15673 L
.3918 .1762 L
.40202 .20357 L
.41166 .23858 L
.42041 .28194 L
.42528 .31299 L
.43043 .35314 L
.43965 .45238 L
.44479 .53038 L
s
.44479 .53038 m
.44919 .61803 L
s
.55084 .61803 m
.55482 .53728 L
.55924 .46749 L
.56913 .35699 L
.57472 .31299 L
.57989 .28021 L
.5895 .23373 L
.59853 .20186 L
.60844 .17565 L
.61913 .15437 L
.62868 .13966 L
.63914 .1269 L
.65019 .11622 L
.66024 .10836 L
.67982 .09665 L
.70076 .08772 L
.71993 .08169 L
.74071 .0767 L
.76057 .073 L
.7816 .06991 L
.81946 .06581 L
.83888 .06421 L
.85976 .06278 L
.90101 .06058 L
.94074 .05902 L
.97619 .05794 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003oo`3ooolQ
0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00Q`3oool4000009D0oooo00270?ooo`030000003o
ool0oooo00D0oooo0`00002>0?ooo`00R03oool00`000000oooo0?ooo`040?ooo`030000003oool0
oooo08h0oooo00210?ooo`@00000103oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo
08h0oooo002:0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0SP3oool008L0oooo
00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`2>0?ooo`00R03oool2000000D0oooo
00<000000?ooo`3oool0SP3oool008l0oooo00<000000?ooo`3oool0SP3oool008l0oooo0P00002?
0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00
S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool0
0`000000oooo0?ooo`2>0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool2000008l0
oooo002?0?ooo`030000003oool0oooo08h0oooo000>0?oooa000000L@3oool00`000000oooo0?oo
o`1`0?ooo`l000003`3oool001h0oooo5P00001K0?ooo`030000003oool0oooo05`0oooo5000000N
0?ooo`00=03oool8000005<0oooo00<000000?ooo`3oool0C`3oool=00000380oooo000A0?ooo`03
0000003oool0oooo02P0oooo2`0000080?ooo`@00000?03oool00`000000oooo0?ooo`0l0?ooo`@0
00001`3oool8000002l0oooo00<000000?ooo`3oool03@3oool00140oooo00<000000?ooo`3oool0
<`3oool5000000<0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0l0?ooo`030000
003oool0oooo0080oooo1P00000g0?ooo`030000003oool0oooo00d0oooo000>0?ooo`D00000>@3o
ool5000003h0oooo0P00000m0?ooo`D00000>P3oool5000000h0oooo00090?ooo`@0000000D0oooo
0000003oool0oooo0000000g0?ooo`@00000103oool2000003`0oooo00<000000?ooo`3oool0>03o
ool400000080oooo00<000000?ooo`3oool0>P3oool010000000oooo0?ooo`00000?0?ooo`003`3o
ool00`000000oooo000000100?ooo`D00000>03oool00`000000oooo0?ooo`0f0?ooo`8000001`3o
ool00`000000oooo0?ooo`0j0?ooo`030000003oool0000000l0oooo000@0?ooo`800000?@3oool0
10000000oooo0?ooo`0000040?ooo`@00000=03oool00`000000oooo0?ooo`0c0?ooo`<000001P3o
ool010000000oooo0?ooo`00000m0?ooo`8000003`3oool00140oooo00<000000?ooo`3oool0?03o
ool2000000T0oooo0P00000b0?ooo`030000003oool0oooo0300oooo0`00000:0?ooo`800000?`3o
ool00`000000oooo0?ooo`0=0?ooo`00G@3oool200000300oooo00<000000?ooo`3oool0;P3oool2
000005h0oooo001O0?ooo`800000;P3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo
05h0oooo00070?ooool000004P0000080?ooo`003P3oool00`000000oooo0?ooo`0=0?ooo`030000
003oool0oooo00d0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000
003oool0oooo00d0oooo00@000000?ooo`3oool0oooo0P00000;0?ooo`030000003oool0oooo00d0
oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0
oooo00<000000?ooo`3oool02P3oool01@000000oooo0?ooo`3oool0000000l0oooo00<000000?oo
o`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0oooo00<000000?oo
o`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`003P3oool00`000000oooo0?ooo`0m0?ooo`03
0000003oool0oooo01<0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`0Y0?ooo`03
0000003oool0oooo0180oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0=0?ooo`00
I@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo02L0oooo0P00001U0?ooo`00IP3o
ool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo02H0oooo00<000000?ooo`3oool0I@3o
ool006L0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`0U0?ooo`030000003oool0
oooo06H0oooo001X0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool0903oool00`00
0000oooo0?ooo`1W0?ooo`00J@3oool00`000000oooo0?ooo`0S0?ooo`800000903oool00`000000
oooo0?ooo`1X0?ooo`00JP3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo0280oooo
00<000000?ooo`3oool0J@3oool006/0oooo00<000000?ooo`3oool08@3oool00`000000oooo0?oo
o`0Q0?ooo`030000003oool0oooo06X0oooo001/0?ooo`030000003oool0oooo0200oooo00<00000
0?ooo`3oool0803oool00`000000oooo0?ooo`1[0?ooo`00K@3oool00`000000oooo0?ooo`0O0?oo
o`030000003oool0oooo01l0oooo00<000000?ooo`3oool0K03oool006d0oooo00<000000?ooo`3o
ool07`3oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo06`0oooo001^0?ooo`030000
003oool0oooo01h0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`1]0?ooo`00KP3o
ool00`000000oooo0?ooo`0N0?ooo`8000007P3oool00`000000oooo0?ooo`1^0?ooo`00K`3oool0
0`000000oooo0?ooo`0M0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0KP3oool0
0700oooo00<000000?ooo`3oool0703oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo
06l0oooo001`0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0703oool00`000000
oooo0?ooo`1_0?ooo`00L@3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo01/0oooo
00<000000?ooo`3oool0L03oool00740oooo00<000000?ooo`3oool06`3oool00`000000oooo0?oo
o`0K0?ooo`030000003oool0oooo0700oooo001b0?ooo`030000003oool0oooo01X0oooo00<00000
0?ooo`3oool06P3oool00`000000oooo0?ooo`1a0?ooo`00LP3oool00`000000oooo0?ooo`0J0?oo
o`8000006`3oool00`000000oooo0?ooo`1a0?ooo`00L`3oool00`000000oooo0?ooo`0I0?ooo`03
0000003oool0oooo01T0oooo00<000000?ooo`3oool0LP3oool007<0oooo00<000000?ooo`3oool0
6@3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo0780oooo001c0?ooo`030000003o
ool0oooo01T0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`1b0?ooo`00L`3oool0
0`000000oooo0?ooo`0I0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3oool0LP3oool0
07@0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo
07<0oooo001d0?ooo`030000003oool0oooo0100oooo100000040?ooo`030000003oool0oooo01P0
oooo00<000000?ooo`3oool0L`3oool007@0oooo00<000000?ooo`3oool0403oool00`000000oooo
0?ooo`050?ooo`<00000603oool00`000000oooo0?ooo`1c0?ooo`00M@3oool00`000000oooo0?oo
o`0@0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?oo
o`1d0?ooo`00M@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo00<0oooo00<00000
0?ooo`3oool05`3oool00`000000oooo0?ooo`1d0?ooo`00M@3oool00`000000oooo0?ooo`0B0?oo
o`030000003oool0oooo0080oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`1d0?oo
o`00M@3oool00`000000oooo0?ooo`0?0?ooo`040000003oool0oooo000000@0oooo00<000000?oo
o`3oool05P3oool00`000000oooo0?ooo`1e0?ooo`00MP3oool00`000000oooo0?ooo`0?0?ooo`80
00001@3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo07D0oooo001f0?ooo`030000
003oool0oooo01H0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`1e0?ooo`00MP3o
ool00`000000oooo0?ooo`0F0?ooo`8000005P3oool00`000000oooo0?ooo`1f0?ooo`00M`3oool0
0`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0MP3oool0
07L0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo
07H0oooo001g0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3oool00`000000
oooo0?ooo`1f0?ooo`00M`3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo
00<000000?ooo`3oool0MP3oool007L0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?oo
o`0D0?ooo`030000003oool0oooo07L0oooo001h0?ooo`030000003oool0oooo01@0oooo00<00000
0?ooo`3oool0503oool00`000000oooo0?ooo`1g0?ooo`00N03oool00`000000oooo0?ooo`0D0?oo
o`8000005@3oool00`000000oooo0?ooo`1g0?ooo`00N03oool00`000000oooo0?ooo`0D0?ooo`03
0000003oool0oooo01@0oooo00<000000?ooo`3oool0M`3oool007P0oooo00<000000?ooo`3oool0
503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo07L0oooo001h0?ooo`030000003o
ool0oooo01@0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`1g0?ooo`00N03oool0
0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0N03oool0
07T0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo
07P0oooo001i0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool04`3oool00`000000
oooo0?ooo`1h0?ooo`00N@3oool00`000000oooo0?ooo`0C0?ooo`800000503oool00`000000oooo
0?ooo`1h0?ooo`00N@3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo01<0oooo00<0
00000?ooo`3oool0N03oool007T0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`0B
0?ooo`030000003oool0oooo07T0oooo001j0?ooo`030000003oool0oooo0180oooo00<000000?oo
o`3oool04P3oool00`000000oooo0?ooo`1i0?ooo`00NP3oool00`000000oooo0?ooo`0B0?ooo`03
0000003oool0oooo0180oooo00<000000?ooo`3oool0N@3oool007X0oooo00<000000?ooo`3oool0
4P3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo07T0oooo001j0?ooo`030000003o
ool0oooo00`0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`0A0?ooo`030000003o
ool0oooo07X0oooo001k0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool00`3oool3
00000140oooo00<000000?ooo`3oool0NP3oool007/0oooo00<000000?ooo`3oool0203oool50000
00@0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`1j0?ooo`00N`3oool00`000000
oooo0?ooo`080?ooo`040000003oool0oooo000000D0oooo00<000000?ooo`3oool04@3oool00`00
0000oooo0?ooo`1j0?ooo`00N`3oool00`000000oooo0?ooo`090?ooo`030000003oool0000000D0
oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`1j0?ooo`00N`3oool00`000000oooo
0?ooo`0:0?ooo`8000001@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo07X0oooo
001k0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?oo
o`0A0?ooo`030000003oool0oooo07X0oooo001k0?ooo`030000003oool0oooo0140oooo00<00000
0?ooo`3oool04@3oool00`000000oooo0?ooo`1j0?ooo`00O03oool00`000000oooo0?ooo`0@0?oo
o`8000004P3oool00`000000oooo0?ooo`1j0?ooo`00O03oool00`000000oooo0?ooo`0@0?ooo`03
0000003oool0oooo0100oooo00<000000?ooo`3oool0N`3oool007`0oooo00<000000?ooo`3oool0
403oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo07/0oooo001l0?ooo`030000003o
ool0oooo0100oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`1k0?ooo`00O03oool0
0`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0N`3oool0
07`0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo
07/0oooo001l0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0403oool00`000000
oooo0?ooo`1k0?ooo`00O03oool00`000000oooo0?ooo`0@0?ooo`8000004@3oool00`000000oooo
0?ooo`1k0?ooo`00O03oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0100oooo00<0
00000?ooo`3oool0N`3oool007`0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0@
0?ooo`030000003oool0oooo07/0oooo001m0?ooo`030000003oool0oooo00l0oooo00<000000?oo
o`3oool0403oool00`000000oooo0?ooo`1k0?ooo`00O@3oool00`000000oooo0?ooo`0?0?ooo`03
0000003oool0oooo0100oooo00<000000?ooo`3oool0N`3oool007d0oooo00<000000?ooo`3oool0
3`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo07`0oooo001m0?ooo`030000003o
ool0oooo00l0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`1l0?ooo`00O@3oool0
0`000000oooo0?ooo`0?0?ooo`800000403oool00`000000oooo0?ooo`1l0?ooo`00O@3oool00`00
0000oooo0?ooo`0?0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0O03oool007d0
oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo07`0
oooo001m0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool03`3oool00`000000oooo
0?ooo`1l0?ooo`00O@3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo00l0oooo00<0
00000?ooo`3oool0O03oool007h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0?
0?ooo`030000003oool0oooo07`0oooo001n0?ooo`030000003oool0oooo00L0oooo0P0000050?oo
o`030000003oool0oooo00l0oooo00<000000?ooo`3oool0O03oool007h0oooo00<000000?ooo`3o
ool01P3oool010000000oooo0?ooo`0000040?ooo`<000003`3oool00`000000oooo0?ooo`1l0?oo
o`00OP3oool00`000000oooo0?ooo`060?ooo`040000003oool0oooo000000@0oooo00<000000?oo
o`3oool03P3oool00`000000oooo0?ooo`1m0?ooo`00OP3oool00`000000oooo0?ooo`060?ooo`<0
00001@3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo07d0oooo001n0?ooo`030000
003oool0oooo00H0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0>0?ooo`030000
003oool0oooo07d0oooo001n0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01@3o
ool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo07d0oooo001n0?ooo`030000003oool0
oooo00L0oooo0`0000040?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0O@3oool0
07h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo
07d0oooo001o0?ooo`030000003oool0oooo00d0oooo0P00000?0?ooo`030000003oool0oooo07d0
oooo001o0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03P3oool00`000000oooo
0?ooo`1m0?ooo`00O`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00h0oooo00<0
00000?ooo`3oool0O@3oool007l0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0>
0?ooo`030000003oool0oooo07d0oooo001o0?ooo`030000003oool0oooo00d0oooo00<000000?oo
o`3oool03@3oool00`000000oooo0?ooo`1n0?ooo`00O`3oool00`000000oooo0?ooo`0=0?ooo`03
0000003oool0oooo00d0oooo00<000000?ooo`3oool0OP3oool007l0oooo00<000000?ooo`3oool0
3@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo07h0oooo001o0?ooo`030000003o
ool0oooo00d0oooo0P00000>0?ooo`030000003oool0oooo07h0oooo001o0?ooo`030000003oool0
oooo00d0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`1n0?ooo`00O`3oool00`00
0000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0OP3oool007l0
oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo07h0
oooo001o0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03@3oool00`000000oooo
0?ooo`1n0?ooo`00O`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0oooo00<0
00000?ooo`3oool0OP3oool007l0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=
0?ooo`030000003oool0oooo07h0oooo001o0?ooo`030000003oool0oooo00d0oooo0P00000>0?oo
o`030000003oool0oooo07h0oooo00200?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3o
ool03@3oool00`000000oooo0?ooo`1n0?ooo`00P03oool00`000000oooo0?ooo`0<0?ooo`030000
003oool0oooo00d0oooo00<000000?ooo`3oool0OP3oool00800oooo00<000000?ooo`3oool0303o
ool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo07h0oooo00200?ooo`030000003oool0
oooo00`0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P03oool00`00
0000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00800
oooo00<000000?ooo`3oool01@3oool2000000D0oooo00<000000?ooo`3oool0303oool00`000000
oooo0?ooo`1o0?ooo`00P03oool00`000000oooo0?ooo`040?ooo`040000003oool0oooo000000@0
oooo0`00000<0?ooo`030000003oool0oooo07l0oooo00200?ooo`030000003oool0oooo00@0oooo
00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo07l0
oooo00200?ooo`030000003oool0oooo00D0oooo0P0000050?ooo`030000003oool0oooo00`0oooo
00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool0103oool010000000oooo0?oo
o`0000040?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00800oooo00<0
00000?ooo`3oool0103oool010000000oooo0?ooo`0000040?ooo`030000003oool0oooo00`0oooo
00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool01@3oool2000000D0oooo00<0
00000?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P03oool00`000000oooo0?ooo`0<
0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00800oooo00<000000?oo
o`3oool0303oool2000000d0oooo00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3o
ool0303oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo07l0oooo00200?ooo`030000
003oool0oooo00`0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P03o
ool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3o
ool00800oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0<0?ooo`030000003oool0
oooo07l0oooo00200?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0303oool00`00
0000oooo0?ooo`1o0?ooo`00P03oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0
oooo00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool0303oool2000000d0oooo
00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool0303oool00`000000oooo0?oo
o`0<0?ooo`030000003oool0oooo07l0oooo00200?ooo`030000003oool0oooo00`0oooo00<00000
0?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P@3oool00`000000oooo0?ooo`0;0?oo
o`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00840oooo00<000000?ooo`3o
ool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo0800oooo00210?ooo`030000
003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`200?ooo`00P@3o
ool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0P03o
ool00840oooo00<000000?ooo`3oool02`3oool2000000`0oooo00<000000?ooo`3oool0P03oool0
0840oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo
0800oooo00210?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool00`000000
oooo0?ooo`200?ooo`00P@3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00/0oooo
00<000000?ooo`3oool0P03oool00840oooo00<000000?ooo`3oool02`3oool00`000000oooo0?oo
o`0;0?ooo`030000003oool0oooo0800oooo00210?ooo`030000003oool0oooo00/0oooo00<00000
0?ooo`3oool02`3oool00`000000oooo0?ooo`200?ooo`00P@3oool4000000<0oooo0P0000050?oo
o`030000003oool0oooo00/0oooo00<000000?ooo`3oool0P03oool00840oooo00<000000?ooo`00
00000`3oool010000000oooo0?ooo`0000040?ooo`<000002`3oool00`000000oooo0?ooo`200?oo
o`00P`3oool01@000000oooo0?ooo`3oool000000080oooo00<000000?ooo`3oool0T`3oool008<0
oooo00D000000?ooo`3oool0oooo000000020?ooo`030000003oool0oooo09<0oooo00230?ooo`05
0000003oool0oooo0?ooo`0000000P3oool00`000000oooo0?ooo`2C0?ooo`00P@3oool3000000<0
oooo00@000000?ooo`3oool00000U@3oool00001\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-4.43605, -2.32162, 
  0.0309132, 0.0714554}}],

Cell[BoxData[
    TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
      False,
      Editable->False]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Plot[Cos[2  ArcSec[x]], \ {x, \(-4\), 4}, \ PlotRange -> {\(-2\), 10}]
      \)], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.5 0.119048 0.103006 0.0515028 [
[.02381 .09051 -6 -9 ]
[.02381 .09051 6 0 ]
[.2619 .09051 -6 -9 ]
[.2619 .09051 6 0 ]
[.7381 .09051 -3 -9 ]
[.7381 .09051 3 0 ]
[.97619 .09051 -3 -9 ]
[.97619 .09051 3 0 ]
[.4875 0 -12 -4.5 ]
[.4875 0 0 4.5 ]
[.4875 .20601 -6 -4.5 ]
[.4875 .20601 0 4.5 ]
[.4875 .30902 -6 -4.5 ]
[.4875 .30902 0 4.5 ]
[.4875 .41202 -6 -4.5 ]
[.4875 .41202 0 4.5 ]
[.4875 .51503 -6 -4.5 ]
[.4875 .51503 0 4.5 ]
[.4875 .61803 -12 -4.5 ]
[.4875 .61803 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.02381 .10301 m
.02381 .10926 L
s
[(-4)] .02381 .09051 0 1 Mshowa
.2619 .10301 m
.2619 .10926 L
s
[(-2)] .2619 .09051 0 1 Mshowa
.7381 .10301 m
.7381 .10926 L
s
[(2)] .7381 .09051 0 1 Mshowa
.97619 .10301 m
.97619 .10926 L
s
[(4)] .97619 .09051 0 1 Mshowa
.125 Mabswid
.08333 .10301 m
.08333 .10676 L
s
.14286 .10301 m
.14286 .10676 L
s
.20238 .10301 m
.20238 .10676 L
s
.32143 .10301 m
.32143 .10676 L
s
.38095 .10301 m
.38095 .10676 L
s
.44048 .10301 m
.44048 .10676 L
s
.55952 .10301 m
.55952 .10676 L
s
.61905 .10301 m
.61905 .10676 L
s
.67857 .10301 m
.67857 .10676 L
s
.79762 .10301 m
.79762 .10676 L
s
.85714 .10301 m
.85714 .10676 L
s
.91667 .10301 m
.91667 .10676 L
s
.25 Mabswid
0 .10301 m
1 .10301 L
s
.5 0 m
.50625 0 L
s
[(-2)] .4875 0 1 0 Mshowa
.5 .20601 m
.50625 .20601 L
s
[(2)] .4875 .20601 1 0 Mshowa
.5 .30902 m
.50625 .30902 L
s
[(4)] .4875 .30902 1 0 Mshowa
.5 .41202 m
.50625 .41202 L
s
[(6)] .4875 .41202 1 0 Mshowa
.5 .51503 m
.50625 .51503 L
s
[(8)] .4875 .51503 1 0 Mshowa
.5 .61803 m
.50625 .61803 L
s
[(10)] .4875 .61803 1 0 Mshowa
.125 Mabswid
.5 .02575 m
.50375 .02575 L
s
.5 .0515 m
.50375 .0515 L
s
.5 .07725 m
.50375 .07725 L
s
.5 .12876 m
.50375 .12876 L
s
.5 .15451 m
.50375 .15451 L
s
.5 .18026 m
.50375 .18026 L
s
.5 .23176 m
.50375 .23176 L
s
.5 .25751 m
.50375 .25751 L
s
.5 .28327 m
.50375 .28327 L
s
.5 .33477 m
.50375 .33477 L
s
.5 .36052 m
.50375 .36052 L
s
.5 .38627 m
.50375 .38627 L
s
.5 .43777 m
.50375 .43777 L
s
.5 .46353 m
.50375 .46353 L
s
.5 .48928 m
.50375 .48928 L
s
.5 .54078 m
.50375 .54078 L
s
.5 .56653 m
.50375 .56653 L
s
.5 .59228 m
.50375 .59228 L
s
.25 Mabswid
.5 0 m
.5 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
.5 Mabswid
.02381 .05794 m
.06244 .05913 L
.10458 .06084 L
.14415 .06303 L
.18221 .06596 L
.20178 .06792 L
.22272 .07049 L
.24402 .07378 L
.26416 .07775 L
.28414 .08283 L
.30258 .08896 L
.3213 .09722 L
.33207 .10327 L
.34193 .10993 L
.36134 .12743 L
.37204 .14066 L
.38221 .15673 L
.3918 .1762 L
.40202 .20357 L
.41166 .23858 L
.42041 .28194 L
.42528 .31299 L
.43043 .35314 L
.43965 .45238 L
.44479 .53038 L
s
.44479 .53038 m
.44919 .61803 L
s
.55084 .61803 m
.55482 .53728 L
.55924 .46749 L
.56913 .35699 L
.57472 .31299 L
.57989 .28021 L
.5895 .23373 L
.59853 .20186 L
.60844 .17565 L
.61913 .15437 L
.62868 .13966 L
.63914 .1269 L
.65019 .11622 L
.66024 .10836 L
.67982 .09665 L
.70076 .08772 L
.71993 .08169 L
.74071 .0767 L
.76057 .073 L
.7816 .06991 L
.81946 .06581 L
.83888 .06421 L
.85976 .06278 L
.90101 .06058 L
.94074 .05902 L
.97619 .05794 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003oo`3ooolQ
0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00Q`3oool4000009D0oooo00270?ooo`030000003o
ool0oooo00D0oooo0`00002>0?ooo`00R03oool00`000000oooo0?ooo`040?ooo`030000003oool0
oooo08h0oooo00210?ooo`@00000103oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo
08h0oooo002:0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0SP3oool008L0oooo
00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`2>0?ooo`00R03oool2000000D0oooo
00<000000?ooo`3oool0SP3oool008l0oooo00<000000?ooo`3oool0SP3oool008l0oooo0P00002?
0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00
S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool0
0`000000oooo0?ooo`2>0?ooo`00S`3oool00`000000oooo0?ooo`2>0?ooo`00S`3oool2000008l0
oooo002?0?ooo`030000003oool0oooo08h0oooo000>0?oooa000000L@3oool00`000000oooo0?oo
o`1`0?ooo`l000003`3oool001h0oooo5P00001K0?ooo`030000003oool0oooo05`0oooo5000000N
0?ooo`00=03oool8000005<0oooo00<000000?ooo`3oool0C`3oool=00000380oooo000A0?ooo`03
0000003oool0oooo02P0oooo2`0000080?ooo`@00000?03oool00`000000oooo0?ooo`0l0?ooo`@0
00001`3oool8000002l0oooo00<000000?ooo`3oool03@3oool00140oooo00<000000?ooo`3oool0
<`3oool5000000<0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0l0?ooo`030000
003oool0oooo0080oooo1P00000g0?ooo`030000003oool0oooo00d0oooo000>0?ooo`D00000>@3o
ool5000003h0oooo0P00000m0?ooo`D00000>P3oool5000000h0oooo00090?ooo`@0000000D0oooo
0000003oool0oooo0000000g0?ooo`@00000103oool2000003`0oooo00<000000?ooo`3oool0>03o
ool400000080oooo00<000000?ooo`3oool0>P3oool010000000oooo0?ooo`00000?0?ooo`003`3o
ool00`000000oooo000000100?ooo`D00000>03oool00`000000oooo0?ooo`0f0?ooo`8000001`3o
ool00`000000oooo0?ooo`0j0?ooo`030000003oool0000000l0oooo000@0?ooo`800000?@3oool0
10000000oooo0?ooo`0000040?ooo`@00000=03oool00`000000oooo0?ooo`0c0?ooo`<000001P3o
ool010000000oooo0?ooo`00000m0?ooo`8000003`3oool00140oooo00<000000?ooo`3oool0?03o
ool2000000T0oooo0P00000b0?ooo`030000003oool0oooo0300oooo0`00000:0?ooo`800000?`3o
ool00`000000oooo0?ooo`0=0?ooo`00G@3oool200000300oooo00<000000?ooo`3oool0;P3oool2
000005h0oooo001O0?ooo`800000;P3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo
05h0oooo00070?ooool000004P0000080?ooo`003P3oool00`000000oooo0?ooo`0=0?ooo`030000
003oool0oooo00d0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000
003oool0oooo00d0oooo00@000000?ooo`3oool0oooo0P00000;0?ooo`030000003oool0oooo00d0
oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0
oooo00<000000?ooo`3oool02P3oool01@000000oooo0?ooo`3oool0000000l0oooo00<000000?oo
o`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0oooo00<000000?oo
o`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`003P3oool00`000000oooo0?ooo`0m0?ooo`03
0000003oool0oooo01<0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`0Y0?ooo`03
0000003oool0oooo0180oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0=0?ooo`00
I@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo02L0oooo0P00001U0?ooo`00IP3o
ool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo02H0oooo00<000000?ooo`3oool0I@3o
ool006L0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`0U0?ooo`030000003oool0
oooo06H0oooo001X0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool0903oool00`00
0000oooo0?ooo`1W0?ooo`00J@3oool00`000000oooo0?ooo`0S0?ooo`800000903oool00`000000
oooo0?ooo`1X0?ooo`00JP3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo0280oooo
00<000000?ooo`3oool0J@3oool006/0oooo00<000000?ooo`3oool08@3oool00`000000oooo0?oo
o`0Q0?ooo`030000003oool0oooo06X0oooo001/0?ooo`030000003oool0oooo0200oooo00<00000
0?ooo`3oool0803oool00`000000oooo0?ooo`1[0?ooo`00K@3oool00`000000oooo0?ooo`0O0?oo
o`030000003oool0oooo01l0oooo00<000000?ooo`3oool0K03oool006d0oooo00<000000?ooo`3o
ool07`3oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo06`0oooo001^0?ooo`030000
003oool0oooo01h0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`1]0?ooo`00KP3o
ool00`000000oooo0?ooo`0N0?ooo`8000007P3oool00`000000oooo0?ooo`1^0?ooo`00K`3oool0
0`000000oooo0?ooo`0M0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0KP3oool0
0700oooo00<000000?ooo`3oool0703oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo
06l0oooo001`0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0703oool00`000000
oooo0?ooo`1_0?ooo`00L@3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo01/0oooo
00<000000?ooo`3oool0L03oool00740oooo00<000000?ooo`3oool06`3oool00`000000oooo0?oo
o`0K0?ooo`030000003oool0oooo0700oooo001b0?ooo`030000003oool0oooo01X0oooo00<00000
0?ooo`3oool06P3oool00`000000oooo0?ooo`1a0?ooo`00LP3oool00`000000oooo0?ooo`0J0?oo
o`8000006`3oool00`000000oooo0?ooo`1a0?ooo`00L`3oool00`000000oooo0?ooo`0I0?ooo`03
0000003oool0oooo01T0oooo00<000000?ooo`3oool0LP3oool007<0oooo00<000000?ooo`3oool0
6@3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo0780oooo001c0?ooo`030000003o
ool0oooo01T0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`1b0?ooo`00L`3oool0
0`000000oooo0?ooo`0I0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3oool0LP3oool0
07@0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo
07<0oooo001d0?ooo`030000003oool0oooo0100oooo100000040?ooo`030000003oool0oooo01P0
oooo00<000000?ooo`3oool0L`3oool007@0oooo00<000000?ooo`3oool0403oool00`000000oooo
0?ooo`050?ooo`<00000603oool00`000000oooo0?ooo`1c0?ooo`00M@3oool00`000000oooo0?oo
o`0@0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?oo
o`1d0?ooo`00M@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo00<0oooo00<00000
0?ooo`3oool05`3oool00`000000oooo0?ooo`1d0?ooo`00M@3oool00`000000oooo0?ooo`0B0?oo
o`030000003oool0oooo0080oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`1d0?oo
o`00M@3oool00`000000oooo0?ooo`0?0?ooo`040000003oool0oooo000000@0oooo00<000000?oo
o`3oool05P3oool00`000000oooo0?ooo`1e0?ooo`00MP3oool00`000000oooo0?ooo`0?0?ooo`80
00001@3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo07D0oooo001f0?ooo`030000
003oool0oooo01H0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`1e0?ooo`00MP3o
ool00`000000oooo0?ooo`0F0?ooo`8000005P3oool00`000000oooo0?ooo`1f0?ooo`00M`3oool0
0`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0MP3oool0
07L0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo
07H0oooo001g0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3oool00`000000
oooo0?ooo`1f0?ooo`00M`3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo
00<000000?ooo`3oool0MP3oool007L0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?oo
o`0D0?ooo`030000003oool0oooo07L0oooo001h0?ooo`030000003oool0oooo01@0oooo00<00000
0?ooo`3oool0503oool00`000000oooo0?ooo`1g0?ooo`00N03oool00`000000oooo0?ooo`0D0?oo
o`8000005@3oool00`000000oooo0?ooo`1g0?ooo`00N03oool00`000000oooo0?ooo`0D0?ooo`03
0000003oool0oooo01@0oooo00<000000?ooo`3oool0M`3oool007P0oooo00<000000?ooo`3oool0
503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo07L0oooo001h0?ooo`030000003o
ool0oooo01@0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`1g0?ooo`00N03oool0
0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0N03oool0
07T0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo
07P0oooo001i0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool04`3oool00`000000
oooo0?ooo`1h0?ooo`00N@3oool00`000000oooo0?ooo`0C0?ooo`800000503oool00`000000oooo
0?ooo`1h0?ooo`00N@3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo01<0oooo00<0
00000?ooo`3oool0N03oool007T0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`0B
0?ooo`030000003oool0oooo07T0oooo001j0?ooo`030000003oool0oooo0180oooo00<000000?oo
o`3oool04P3oool00`000000oooo0?ooo`1i0?ooo`00NP3oool00`000000oooo0?ooo`0B0?ooo`03
0000003oool0oooo0180oooo00<000000?ooo`3oool0N@3oool007X0oooo00<000000?ooo`3oool0
4P3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo07T0oooo001j0?ooo`030000003o
ool0oooo00`0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`0A0?ooo`030000003o
ool0oooo07X0oooo001k0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool00`3oool3
00000140oooo00<000000?ooo`3oool0NP3oool007/0oooo00<000000?ooo`3oool0203oool50000
00@0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`1j0?ooo`00N`3oool00`000000
oooo0?ooo`080?ooo`040000003oool0oooo000000D0oooo00<000000?ooo`3oool04@3oool00`00
0000oooo0?ooo`1j0?ooo`00N`3oool00`000000oooo0?ooo`090?ooo`030000003oool0000000D0
oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`1j0?ooo`00N`3oool00`000000oooo
0?ooo`0:0?ooo`8000001@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo07X0oooo
001k0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?oo
o`0A0?ooo`030000003oool0oooo07X0oooo001k0?ooo`030000003oool0oooo0140oooo00<00000
0?ooo`3oool04@3oool00`000000oooo0?ooo`1j0?ooo`00O03oool00`000000oooo0?ooo`0@0?oo
o`8000004P3oool00`000000oooo0?ooo`1j0?ooo`00O03oool00`000000oooo0?ooo`0@0?ooo`03
0000003oool0oooo0100oooo00<000000?ooo`3oool0N`3oool007`0oooo00<000000?ooo`3oool0
403oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo07/0oooo001l0?ooo`030000003o
ool0oooo0100oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`1k0?ooo`00O03oool0
0`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0N`3oool0
07`0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo
07/0oooo001l0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0403oool00`000000
oooo0?ooo`1k0?ooo`00O03oool00`000000oooo0?ooo`0@0?ooo`8000004@3oool00`000000oooo
0?ooo`1k0?ooo`00O03oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0100oooo00<0
00000?ooo`3oool0N`3oool007`0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0@
0?ooo`030000003oool0oooo07/0oooo001m0?ooo`030000003oool0oooo00l0oooo00<000000?oo
o`3oool0403oool00`000000oooo0?ooo`1k0?ooo`00O@3oool00`000000oooo0?ooo`0?0?ooo`03
0000003oool0oooo0100oooo00<000000?ooo`3oool0N`3oool007d0oooo00<000000?ooo`3oool0
3`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo07`0oooo001m0?ooo`030000003o
ool0oooo00l0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`1l0?ooo`00O@3oool0
0`000000oooo0?ooo`0?0?ooo`800000403oool00`000000oooo0?ooo`1l0?ooo`00O@3oool00`00
0000oooo0?ooo`0?0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0O03oool007d0
oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo07`0
oooo001m0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool03`3oool00`000000oooo
0?ooo`1l0?ooo`00O@3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo00l0oooo00<0
00000?ooo`3oool0O03oool007h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0?
0?ooo`030000003oool0oooo07`0oooo001n0?ooo`030000003oool0oooo00L0oooo0P0000050?oo
o`030000003oool0oooo00l0oooo00<000000?ooo`3oool0O03oool007h0oooo00<000000?ooo`3o
ool01P3oool010000000oooo0?ooo`0000040?ooo`<000003`3oool00`000000oooo0?ooo`1l0?oo
o`00OP3oool00`000000oooo0?ooo`060?ooo`040000003oool0oooo000000@0oooo00<000000?oo
o`3oool03P3oool00`000000oooo0?ooo`1m0?ooo`00OP3oool00`000000oooo0?ooo`060?ooo`<0
00001@3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo07d0oooo001n0?ooo`030000
003oool0oooo00H0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0>0?ooo`030000
003oool0oooo07d0oooo001n0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01@3o
ool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo07d0oooo001n0?ooo`030000003oool0
oooo00L0oooo0`0000040?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0O@3oool0
07h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo
07d0oooo001o0?ooo`030000003oool0oooo00d0oooo0P00000?0?ooo`030000003oool0oooo07d0
oooo001o0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03P3oool00`000000oooo
0?ooo`1m0?ooo`00O`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00h0oooo00<0
00000?ooo`3oool0O@3oool007l0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0>
0?ooo`030000003oool0oooo07d0oooo001o0?ooo`030000003oool0oooo00d0oooo00<000000?oo
o`3oool03@3oool00`000000oooo0?ooo`1n0?ooo`00O`3oool00`000000oooo0?ooo`0=0?ooo`03
0000003oool0oooo00d0oooo00<000000?ooo`3oool0OP3oool007l0oooo00<000000?ooo`3oool0
3@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo07h0oooo001o0?ooo`030000003o
ool0oooo00d0oooo0P00000>0?ooo`030000003oool0oooo07h0oooo001o0?ooo`030000003oool0
oooo00d0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`1n0?ooo`00O`3oool00`00
0000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0OP3oool007l0
oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo07h0
oooo001o0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03@3oool00`000000oooo
0?ooo`1n0?ooo`00O`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00d0oooo00<0
00000?ooo`3oool0OP3oool007l0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0=
0?ooo`030000003oool0oooo07h0oooo001o0?ooo`030000003oool0oooo00d0oooo0P00000>0?oo
o`030000003oool0oooo07h0oooo00200?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3o
ool03@3oool00`000000oooo0?ooo`1n0?ooo`00P03oool00`000000oooo0?ooo`0<0?ooo`030000
003oool0oooo00d0oooo00<000000?ooo`3oool0OP3oool00800oooo00<000000?ooo`3oool0303o
ool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo07h0oooo00200?ooo`030000003oool0
oooo00`0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P03oool00`00
0000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00800
oooo00<000000?ooo`3oool01@3oool2000000D0oooo00<000000?ooo`3oool0303oool00`000000
oooo0?ooo`1o0?ooo`00P03oool00`000000oooo0?ooo`040?ooo`040000003oool0oooo000000@0
oooo0`00000<0?ooo`030000003oool0oooo07l0oooo00200?ooo`030000003oool0oooo00@0oooo
00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo07l0
oooo00200?ooo`030000003oool0oooo00D0oooo0P0000050?ooo`030000003oool0oooo00`0oooo
00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool0103oool010000000oooo0?oo
o`0000040?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00800oooo00<0
00000?ooo`3oool0103oool010000000oooo0?ooo`0000040?ooo`030000003oool0oooo00`0oooo
00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool01@3oool2000000D0oooo00<0
00000?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P03oool00`000000oooo0?ooo`0<
0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00800oooo00<000000?oo
o`3oool0303oool2000000d0oooo00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3o
ool0303oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo07l0oooo00200?ooo`030000
003oool0oooo00`0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P03o
ool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3o
ool00800oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0<0?ooo`030000003oool0
oooo07l0oooo00200?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0303oool00`00
0000oooo0?ooo`1o0?ooo`00P03oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0
oooo00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool0303oool2000000d0oooo
00<000000?ooo`3oool0O`3oool00800oooo00<000000?ooo`3oool0303oool00`000000oooo0?oo
o`0<0?ooo`030000003oool0oooo07l0oooo00200?ooo`030000003oool0oooo00`0oooo00<00000
0?ooo`3oool0303oool00`000000oooo0?ooo`1o0?ooo`00P@3oool00`000000oooo0?ooo`0;0?oo
o`030000003oool0oooo00`0oooo00<000000?ooo`3oool0O`3oool00840oooo00<000000?ooo`3o
ool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo0800oooo00210?ooo`030000
003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`200?ooo`00P@3o
ool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0P03o
ool00840oooo00<000000?ooo`3oool02`3oool2000000`0oooo00<000000?ooo`3oool0P03oool0
0840oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo
0800oooo00210?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool00`000000
oooo0?ooo`200?ooo`00P@3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00/0oooo
00<000000?ooo`3oool0P03oool00840oooo00<000000?ooo`3oool02`3oool00`000000oooo0?oo
o`0;0?ooo`030000003oool0oooo0800oooo00210?ooo`030000003oool0oooo00/0oooo00<00000
0?ooo`3oool02`3oool00`000000oooo0?ooo`200?ooo`00P@3oool4000000<0oooo0P0000050?oo
o`030000003oool0oooo00/0oooo00<000000?ooo`3oool0P03oool00840oooo00<000000?ooo`00
00000`3oool010000000oooo0?ooo`0000040?ooo`<000002`3oool00`000000oooo0?ooo`200?oo
o`00P`3oool01@000000oooo0?ooo`3oool000000080oooo00<000000?ooo`3oool0T`3oool008<0
oooo00D000000?ooo`3oool0oooo000000020?ooo`030000003oool0oooo09<0oooo00230?ooo`05
0000003oool0oooo0?ooo`0000000P3oool00`000000oooo0?ooo`2C0?ooo`00P@3oool3000000<0
oooo00@000000?ooo`3oool00000U@3oool00001\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-4.43605, -2.32162, 
  0.0309132, 0.0714554}}],

Cell[BoxData[
    TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
      False,
      Editable->False]], "Output"]
}, Open  ]],

Cell[TextData[{
  "The graphs look the same. ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " can even simplify ",
  Cell[BoxData[
      \(cos \((\(sec\^\(-1\)\) \((x)\))\)\)]],
  "to prove this:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(TrigExpand[Cos[2  ArcSec[x]]]\)], "Input"],

Cell[BoxData[
    \(\(-1\) + 2\/x\^2\)], "Output"]
}, Open  ]],

Cell[TextData[{
  "To see this for yourself, draw a right triangle with hypothenuse equal to \
",
  Cell[BoxData[
      \(x\)]],
  " and side adjacent to the angle ",
  Cell[BoxData[
      \(\[Alpha]\)]],
  " equal to 1. Then ",
  Cell[BoxData[
      \(sec \((\[Alpha])\)\  = \ x\)]],
  " and ",
  Cell[BoxData[
      \(\[Alpha]\  = \ \(sec\^\(-1\)\) \((x)\)\)]],
  ". The side opposite ",
  Cell[BoxData[
      \(\[Alpha]\)]],
  " is ",
  Cell[BoxData[
      \(\@\(x\^2 - \ 1\)\)]],
  ". Using the double angle formula, we see that ",
  Cell[BoxData[
      \(cos \((2 \( sec\^\(-1\)\) \((x)\))\)\  = \ 
        \(cos \((2  \[Alpha])\)\  = \ 
          \(cos\^2\) \((\[Alpha])\)\  - \ \(sin\^2\) \((\[Alpha])\)\)\)]],
  " = ",
  Cell[BoxData[
      \(\((1\/x)\)\^2 - \ \((\@\(x\^2 - 1\)\/x)\)\^2 = \ 
        \(1\/x\^2 - \ \(x\^2 - \ 1\)\/x\^2\  = \ \(2\  - \ x\^2\)\/x\^2\)\)]]
}], "Text"]
}, Open  ]]
}, Open  ]]
},
FrontEndVersion->"X 3.0",
ScreenRectangle->{{0, 1024}, {0, 768}},
WindowSize->{520, 600},
WindowMargins->{{Automatic, 89}, {-63, Automatic}}
]


(***********************************************************************
Cached data follows.  If you edit this Notebook file directly, not using
Mathematica, you must remove the line containing CacheID at the top of 
the file.  The cache data will then be recreated when you save this file 
from within Mathematica.
***********************************************************************)

(*CellTagsOutline
CellTagsIndex->{}
*)

(*CellTagsIndex
CellTagsIndex->{}
*)

(*NotebookFileOutline
Notebook[{

Cell[CellGroupData[{
Cell[1731, 51, 28, 0, 45, "Subsection"],

Cell[CellGroupData[{
Cell[1784, 55, 28, 0, 42, "Subsubsection"],

Cell[CellGroupData[{
Cell[1837, 59, 110, 2, 27, "Input"],
Cell[1950, 63, 19883, 462, 186, 3562, 256, "GraphicsData", 
"PostScript", "Graphics"],
Cell[21836, 527, 130, 3, 27, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[22003, 535, 110, 2, 27, "Input"],
Cell[22116, 539, 19883, 462, 186, 3562, 256, "GraphicsData", 
"PostScript", "Graphics"],
Cell[42002, 1003, 130, 3, 27, "Output"]
}, Open  ]],
Cell[42147, 1009, 218, 8, 32, "Text"],

Cell[CellGroupData[{
Cell[42390, 1021, 62, 1, 27, "Input"],
Cell[42455, 1024, 50, 1, 43, "Output"]
}, Open  ]],
Cell[42520, 1028, 890, 29, 141, "Text"]
}, Open  ]]
}, Open  ]]
}
]
*)




(***********************************************************************
End of Mathematica Notebook file.
***********************************************************************)