.MCAD 304020000 1 74 156 0 .CMD PLOTFORMAT 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING 0 2 1 0 1 1 NO-TRACE-STRING 0 3 2 0 1 1 NO-TRACE-STRING 0 4 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 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 0.989583 1.200000 1.200000 0 .CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty* .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFAULT_TEXT_PARPROPS 0 0 0 .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 .CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3 .CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4 .CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5 .CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6 .CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7 .CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=2 family=Times^New^Roman points=12 bold=0 italic=0 underline=0 colrid=1 .CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD UNITS U=1 .CMD DIMENSIONS_ANALYSIS 0 0 .CMD COLORTAB_ENTRY 0 0 0 .CMD COLORTAB_ENTRY 128 0 0 .CMD COLORTAB_ENTRY 0 128 0 .CMD COLORTAB_ENTRY 128 128 0 .CMD COLORTAB_ENTRY 0 0 128 .CMD COLORTAB_ENTRY 128 0 128 .CMD COLORTAB_ENTRY 0 128 128 .CMD COLORTAB_ENTRY 128 128 128 .CMD COLORTAB_ENTRY 192 192 192 .CMD COLORTAB_ENTRY 255 0 0 .CMD COLORTAB_ENTRY 0 255 0 .CMD COLORTAB_ENTRY 255 255 0 .CMD COLORTAB_ENTRY 0 0 255 .CMD COLORTAB_ENTRY 255 0 255 .CMD COLORTAB_ENTRY 0 255 255 .CMD COLORTAB_ENTRY 255 255 255 .CMD COLORTAB_ENTRY 10 36 106 .TXT 5 23 35 0 0 Cg a67.000000,67.000000,29 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0 \fnil Times New Roman;}}\plain\cf1\fs24 \pard {\fs32 Tangents in inverse functions}} .TXT 4 -20 6 0 0 Cg a71.000000,71.000000,18 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0 \fnil Times New Roman;}}\plain\cf1\fs24 \pard Given the function} .EQN 0 16 7 0 1 {0:f}NAME({0:x}NAME):({0:x}NAME-0.5)/({0:x}NAME+3) .TXT 4 -16 70 0 0 Cg a41.000000,41.000000,26 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0 \fnil Times New Roman;}}\plain\cf1\fs24 \pard graph the inverse function} .EQN 1 24 77 0 0 {0:Given}NAME .EQN 3 0 80 0 0 {0:f}NAME({0:y}NAME)÷{0:x}NAME .EQN 4 0 104 0 0 {0:Find}NAME({0:y}NAME){63}-1.*((-1.-6.*{0:x}NAME))/((2.-2.*{0:x}NAME)) .TXT 5 -24 129 0 0 Cg a70.000000,70.000000,41 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0 \fnil Times New Roman;}}\plain\cf1\fs24 \pard you have to copy this expression by hand:} .EQN 4 24 155 0 1 {0:g}NAME({0:x}NAME):(1+6*{0:x}NAME)/(2-2*{0:x}NAME) .TXT 5 -25 136 0 0 Cg a72.000000,72.000000,32 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0 \fnil Times New Roman;}}\plain\cf1\fs24 \pard graph also the tangent to f at} .EQN 0 27 137 0 1 {0:x0}NAME:-0.5 .TXT 4 -27 139 0 0 Cg a72.000000,72.000000,49 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0 \fnil Times New Roman;}}\plain\cf1\fs24 \pard together with the tangent to its inverse g at } .EQN 0 38 140 0 0 {0:y0}NAME:{0:f}NAME({0:x0}NAME) .EQN 4 -38 141 0 0 {0:mf}NAME:{0:x0}NAME"{0:f}NAME({0:x0}NAME) .EQN 0 13 149 0 0 {0:mg}NAME:(1)/({0:mf}NAME) .EQN 4 18 156 0 0 {0:mirror}NAME({0:x}NAME):{0:x}NAME .EQN 1 -30 150 0 0 {0:tf}NAME({0:x}NAME):{0:mf}NAME*({0:x}NAME-{0:x0}NAME)+{0:y0}NAME .EQN 3 0 151 0 0 {0:tg}NAME({0:x}NAME):{0:mg}NAME*({0:x}NAME-{0:y0}NAME)+{0:x0}NAME .EQN 5 1 153 0 0 {0:x}NAME:-6,-5.93;6 .EQN 2 3 154 0 0 6&-6&(_n_u_l_l_&_n_u_l_l_)&{0:f}NAME({0:x}NAME),{0:g}NAME({0:x}NAME),{0:tf}NAME({0:x}NAME),{0:tg}NAME({0:x}NAME),{0:mirror}NAME({0:x}NAME)@6&-6&(_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 0 0 2 2 NO-TRACE-STRING 0 1 1 0 2 2 NO-TRACE-STRING 0 2 0 0 1 1 NO-TRACE-STRING 0 2 1 0 1 1 NO-TRACE-STRING 0 1 6 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 42 40 10 0 3