.MCAD 304020000 1 74 23 0
.CMD PLOTFORMAT
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0 2 5 0 1 1 NO-TRACE-STRING
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0 1 1 21 15 0 0 3 
.CMD FORMAT  rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 0.979167 1.200000 1.200000 0
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.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text
.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1
.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
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.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7
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.TXT 4 21 2 0 0
Cg a61.000000,61.000000,24
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard {\fs36 From Secants to Tangents}
}
.TXT 5 -18 3 0 0
Cg a71.000000,71.000000,21
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard Given is the function}
.EQN 0 26 4 0 1
{0:f}NAME({0:x}NAME):({0:x}NAME)^(2)-2*{0:x}NAME
.TXT 5 -26 7 0 0
Cg a71.000000,71.000000,49
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard We want to graph f, 
together with secants through}
.EQN 0 53 10 0 1
{0:a}NAME:1
.TXT 4 -53 12 0 0
Cg a71.000000,71.000000,29
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard for three different h, namely}
.EQN 0 33 13 0 1
{0:h1}NAME:2
.EQN 0 12 14 0 1
{0:h2}NAME:1
.EQN 0 13 15 0 1
{0:h3}NAME:0.5
.TXT 5 -58 16 0 0
Cg a71.000000,71.000000,81
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard we call the three secant 
functions s1, s2, and s3, and use the\par two point formula:}
.EQN 10 0 17 0 0
{0:s1}NAME({0:x}NAME):({0:f}NAME({0:a}NAME+{0:h1}NAME)-{0:f}NAME({0:a}NAME))/({0:h1}NAME)*({0:x}NAME-{0:a}NAME)+{0:f}NAME({0:a}NAME)
.EQN 7 0 18 0 0
{0:s2}NAME({0:x}NAME):({0:f}NAME({0:a}NAME+{0:h2}NAME)-{0:f}NAME({0:a}NAME))/({0:h2}NAME)*({0:x}NAME-{0:a}NAME)+{0:f}NAME({0:a}NAME)
.EQN 7 0 19 0 0
{0:s3}NAME({0:x}NAME):({0:f}NAME({0:a}NAME+{0:h3}NAME)-{0:f}NAME({0:a}NAME))/({0:h3}NAME)*({0:x}NAME-{0:a}NAME)+{0:f}NAME({0:a}NAME)
.EQN 8 44 20 0 0
{0:x}NAME:-2,-1.9;3
.EQN 5 -44 23 0 0
&&(_n_u_l_l_&_n_u_l_l_)&{0:f}NAME({0:x}NAME),{0:s1}NAME({0:x}NAME),{0:s2}NAME({0:x}NAME),{0:s3}NAME({0:x}NAME)@3&&(_n_u_l_l_&_n_u_l_l_)&{0:x}NAME
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 6 0 2 2 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 1 2 0 1 1 NO-TRACE-STRING
0 1 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 2 54 35 14 0 3