{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}{PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "f:=x^2/y; dx:=0.03; dy:=-0.02; x0:=1; y0:=1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&%\"xG\"\"#%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dxG$\"\"$!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%# dyG$!\"#F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "df1:=eval(diff(f,x),\{x=x0,y=y0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df1G\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "df2:=eval(diff(f,y),\{x=x0,y=y0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df2G!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "df3:=eval(diff(f,x,x),\{x=x0,y=y0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df3G\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "df4:=eval(diff(f,x,y),\{x=x0,y=y0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df4G!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "df5:=eval(diff(f,y,y),\{x=x0,y=y0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df5G\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "vysl2:=eval(f,\{x=x0,y=y0\})+df1*(dx)+df2*(dy)+(1/2)*(df3*(dx)^2+2 *df4*(dx)*(dy)+df5*(dy)^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&vysl 2G$\"+++]#3\"!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "vy:=ev al(f,\{x=x0+dx,y=y0+dy\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$ \"+?5b#3\"!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "vysl1:=ev al(f,\{x=x0,y=y0\})+df1*(dx)+df2*(dy);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&vysl1G$\"$3\"!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "vysl:=[vy,vysl1,vysl2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%vysl G7%$\"+?5b#3\"!\"*$\"$3\"!\"#$\"+++]#3\"F(" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "f:=x*y^2*z^2; dx:=0.002; dy:=0.003; dz:=0.004; x0:=1; y0:=2; z0:= 3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*(%\"xG\"\"\")%\"yG\"\"#F' )%\"zGF*F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dxG$\"\"#!\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dyG$\"\"$!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dzG$\"\"%!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%# x0G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"#" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%#z0G\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "df1:=eval(diff(f,x),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df1G\"#O" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "df2:=eval(diff(f,y),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df2G\"#O" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "df3:=eval(diff(f,z),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df3G\"#C" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "df4:=eval(diff(f,x,x),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df4G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "df5:=eval(diff(f,x,y),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df5G\"#O" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "df6:=eval(diff(f,x,z),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df6G\"#C" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "df7:=eval(diff(f,y,y),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df7G\"#=" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "df8:=eval(diff(f,y,z),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df8G\"#C" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "df9:=eval(diff(f,z,z),\{x=x0,y=y0,z=z0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$df9G\"\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 136 "vysl2: =eval(f,\{x=x0,y=y0,z=z0\})+df1*(dx)+df2*(dy)+df3*(dz)+(1/2)*(df4*(dx) ^2+df7*(dy)^2+df9*(dz)^2+2*df5*dx*dy+2*df6*dx*dz+2*df8*dy*dy);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&vysl2G$\"++pnFO!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "vy:=eval(f,\{x=x0+dx,y=y0+dy,z=z0+d z\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$\"+FUoFO!\")" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "vysl1:=eval(f,\{x=x0,y=y0,z= z0\})+df1*(dx)+df2*(dy)+df3*(dz);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %&vysl1G$\"&wi$!\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "vysl :=[vy,vysl1,vysl2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%vyslG7%$\"+F UoFO!\")$\"&wi$!\"$$\"++pnFOF(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "12 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }