{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 27 "f:=x->(exp(x)+exp(-x ))*0.5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)opera torG%&arrowGF(*&,&-%$expG6#9$\"\"\"-F/6#,$F1!\"\"F2F2$\"\"&F6F2F(F(F( " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(x=f(y),y);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$-%#lnG6#,&%\"xG\"\"\"*$,&*$)F'\"\"#F(F ($F(\"\"!!\"\"#F(F-F(-F$6#,&F'F(*&$F(F/F(F*F1F0" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 53 "simplify(sgn(x)*ln(sqrt(1+x^2)+sqrt(sqrt(1+x^2 )-1)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&-%$sgnG6#%\"xG\"\"\"-%#ln G6#,&*$,&*$)F'\"\"#F(F(F(F(#F(F1F(*$,&F-F(F(!\"\"F2F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "g:=x->(exp(x)-exp(-x))*0.5;" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"gGf*6#%\"xG6\"6$%)operatorG%&arrowGF(*&,&-%$expG6#9$\"\"\"-F/6#,$F 1!\"\"F6F2$\"\"&F6F2F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(x=g(y),y);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$-%#lnG6#,&%\"xG\"\"\"*$,&*$)F'\"\"#F(F($F(\" \"!F(#F(F-F(-F$6#,&F'F(*&$F(F/F(F*F0!\"\"" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 20 "sqrt(sqrt(1+x^2)-1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$,&*$,&*$)%\"xG\"\"#\"\"\"F+F+F+#F+F*F+F+!\"\"F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$,&*$,&*$)%\"xG\"\"#\"\"\"F+F+F+#F+F*F+F+!\"\"F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "arctanh(x/(sqrt(x^2+1)));" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#-%(arctanhG6#*&%\"xG\"\"\",&*$)F'\"\" #F(F(F(F(#!\"\"F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "diff(a rcsinh(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$*$,&*$)%\"x G\"\"#F$F$F$F$#F$F*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "simplify(diff(arctanh(x/sqrt(x^2+1)),x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$*$,&*$)%\"xG\"\"#F$F$F$F$#F$F*!\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "arcsin(arccos(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'arcsinG6#-%'arccosG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'arcsinG6#-%'arc cosG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "verify(sin(x ),-sin(x+Pi),equal);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 41 "verify((exp(x)-2)/exp(-x),cosh(x),equal);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%FAILG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "15 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }