{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 2 1 2 2 1 2 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 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "01." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 22 "p:=(cos(t)+sin(t))^10;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG*$),&-%$cosG6#%\"tG\"\"\"-%$sinGF*F,\"#5F," }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "02." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "q:=combine(expand(p),trig);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qG,.*&#\"\"&\"\")\"\"\"-%$cosG6#,$*&F)F*%\"tGF*F*F* F**&#\"#:\"\"#F*-F,6#,$*&\"\"%F*F0F*F*F*!\"\"*&#F*\"#;F*-%$sinG6#,$*& \"#5F*F0F*F*F*F**&#\"#XF=F*-F?6#,$*&\"\"'F*F0F*F*F*F:*&#\"$0\"F)F*-F?6 #,$*&F4F*F0F*F*F*F*#\"#jF)F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "03 ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "expand(q);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,6*&\"#!)\"\"\")-%$cosG6#%\"tG\"\")F&F&*&\"$ g\"F&)F(\"\"'F&!\"\"*&\"#SF&)F(\"\"%F&F&*&F3F&)F(\"\"#F&F&F&F&*(\"#KF& )F(\"\"*F&-%$sinGF*F&F&*(\"#kF&)F(\"\"(F&F=F&F1*(\"#[F&)F(\"\"&F&F=F&F 1*(F%F&)F(\"\"$F&F=F&F&*(\"#5F&F(F&F=F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "04." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "1/(2*Pi) *int(p,t=0..2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"#j\"\")" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "05." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "[seq(1/Pi*int(p*cos(k*t),t=0..2*Pi),k=1..10)];" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#7,\"\"!F$F$#!#:\"\"#F$F$F$#\"\"&\"\")F $F$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "06." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 46 "[seq(1/Pi*int(p*sin(k*t),t=0..2*Pi),k=1..10)]; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7,\"\"!#\"$0\"\"\")F$F$F$#!#X\"#;F $F$F$#\"\"\"F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {MARK "1 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }