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{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 "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courie r" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 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 }{PSTYLE "Maple Outpu t" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Relembrando alguns comando s de Maple" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 84 "surd \351 o c omando que usamos para calcular raizes como raiz cubica, raiz quarta, \+ etc." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 56 "PQ usar surd ao inves de escrever ^(1/3 ) , por exemplo ?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 16 "coisa:=27^(1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%&coisaG*$)\"#F#\"\"\"\"\"$F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(coisa);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+++++I!\"* " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "lance:= (-27)^(1/3);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&lanceG*$)!#F#\"\"\"\"\"$F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(lance);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#^$$\"+++++:!\"*$\"+6i2)f#F&" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 5 "Ceus." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 201 "O Maple, ao se deparar com x= (-27)^(1/3) , tenta resolver o polinomio x^3 = -27 e, dentre as tres raizes (duas comple xas e uma real), escolhe a primeira que ele encontra. Nesse caso, a ra iz complexa." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 161 "PAra obrigar o maple a nos dar a raiz cubica REAL, usamos o su rd. (da pra usar RealDomain tbm, mas o Will nao sabe fazer isso direit o. Alguem aprende e me conta)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "surd(27,3);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "surd(-27,3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"$ " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 11 "surd(-5,3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #,$*$)\"\"&#\"\"\"\"\"$F(!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Vamos copiar e colar esse output..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "-5^(1/3) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$)\"\"&#\"\"\"\"\"$F(!\"\"" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 33 "Existe uma GRANDE diferenca entre " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 11 "(-5)^(1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #*$)!\"&#\"\"\"\"\"$F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "-5 ^(1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$)\"\"&#\"\"\"\"\"$F(!\" \"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 96 "REsumindo, se vc precisar d e raizes de indice impar de numeros negativos, use surd e seja feliz. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Com vcs, fsolve." }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 39 "Vamos usar muito o fsolve em Calculo B." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 104 "Grosseiramente falando, \+ o fsolve \351 um solve que j\341 vem com evalf. Na pratica \351 um pou co diferente disso." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "solve( x^5 - 10 =0 , x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6'*$)\"#5#\"\"\"\"\"&F'*&,(*&\"\"%!\"\"F (#F'\"\"#F'#F'F,F-*(^##F'F,F'F/F.,&F(F'*$F(F.F'F.F'F'F$F'*&,(*&F,F-F(F .F-#F'F,F-*(F2F'F/F.,&F(F'F5F-F.F'F'F$F'*&,(*&F,F-F(F.F-#F'F,F-*(^##F- F,F'F/F.F;F.F'F'F$F'*&,(*&F,F-F(F.F'#F'F,F-*(FAF'F/F.F4F.F'F'F$F'" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Se colocamos 0.0 ele d\341 uma esp ecie de evalf no resultado" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 27 "solve( x^5 - 10 = 0.0 , x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6'$\"+#>$*[e\"!\"*^$$\"+2$*e(*[!#5$\"+)*HK2:F%^$$!+F b?#G\"F%$\"+]%odJ*F)^$F-$!+]%odJ*F)^$F'$!+)*HK2:F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "fsolve( x^5-10 =0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+#>$*[ e\"!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 205 "Ele nos deu uma unica raiz. Em geral \351 isso que o fsolve vai fazer, nos dar a primeira r aiz que ele encontrar. Em polinomios isso \351 meio feito, pq sabemos quantas raizes e em geral o solve j\341 nos resolve." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 69 "Com trigonometricas o \+ fsolve brilha. (d\341 pra especificar intervalos)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "plot( [ 0.3*x, cos(5*x)], x=-10..10);" }}{PARA 13 "" 1 "" {GLPLOT2D 546 346 346 {PLOTDATA 2 "6&-%'CURVESG6$X4%)anythingG6\"6\"[g l'\"%!!!#[dl\"cw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Usando solve, a gente nao vai conseguir nada que preste." }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "solve ( 0.3*x = cos(5*x) , x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%$!+8a9&))) !#5$!+4!zCM$F%$\"+v[ajHF%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 80 "Ele \+ me deu 3 raizes. Quem sao essas? Tem mais? Nao da pra saber s\363 pelo solve..." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 47 "Digamos que estamos interessados n a MENOR raiz." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "plot( [ 0.3*x, cos(5*x)], x= -4..-2);" }}{PARA 13 "" 1 "" {GLPLOT2D 475 216 216 {PLOTDATA 2 "6&-%'C URVESG6$X4%)anythingG6\"6\"[gl'\"%!!!#[dl\"cw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33FEBFD84D43601B63FEB3602A10B1CFC3FEA4C2BB3E4C00A3FE95C4E58DCA2A13FE84 E99E724CF8A3FE74BCB23C2630F3FE61E46E7E8FF0A3FE4EEF7F54853813FE3B305964 FB9A33FE25B9A7114A52E3FE113F8E8C142D83FDF73F8013027DE3FDC6161454D5F113 FD986A2CAC60FD83FD68AFB4EA76E353FD37367C70EFBAF3FD09040CFEE8EDB3FCAE41 EF0A2EC3A3FC4A2C8B7DCFFCD3FBBC6FA99FEA6A73FAF9AD61229202F3F7F1C00E1F99 933BFA52294F5DF63F7BFB6EC3277D0B47BBFC212E8283AC2D1BFC8A9F7397D98BDBFC E9A19AAACC6F7BFD26A7D074D92BBBFD569278A4D71E8BFD89928F07A3EFCBFDB4CD64 FC165D3BFDE54C564BE2BB0BFE08D2736B0358DBFE1E21CFEEDA57FBFE32C2A8FF4502 2BFE47071C42848D6BFE5B9A409F96A81BFE6D98CE115293EBFE7E7FC94F39277BFE8F 93C0AA0274BBFE9F8DB8C1B83EEBFEAD9AC890C6B1F-F+6'F-F1F3F.F6-%+AXESLABEL SG6$%\"xGQ!F)-%%VIEWG6%;$!\"%F2$!\"#F2%(DEFAULTGF6" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "a menor raiz \351 perto de -3.2" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 41 "fsolve( 0.3*x = cos(5*x) , x=-3.4..-3.1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+(zT')>$!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 86 "Quando colocamos o intervalo, ele procura s\363 ali dentr o e nos d\341 o primeiro resultado." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "fsolve( 0.3*x = cos(5*x) , x=-3.6..-3.4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'fsolveG6%/,$*&$\"\"$!\"\"\"\"\"%\"xGF,F,- %$cosG6#,$*&\"\"&F,F-F,F,F-;$!#OF+$!#MF+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "Nao achou nada . (at\351 pq nao tem nada mesmo)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 39 "fsolve( 0.3*x = cos(5*x) , x=-3.6..-1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+x'ea1#!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 128 "Note que , quando alargamos o intervalo, apareceu outra \+ raiz. fsolve requer sintonia fina da parte do usuario. Fa\347a plots a ntes." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 113 "(d\341 pra usar fsolve em sistemas tamb\351m, mas ai temos que colcoa r intervalso nas duas variaveis) Sempre me enrolo." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 13 "diff versus D" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "O operador D \+ come FUNCOES e retorna FUNCOES." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "f:=x-> x^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arrowGF(*$)9$\"\"#\"\" \"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "D(f);" }{TEXT -1 17 "isso \351 uma Funcao" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#f*6#%\" xG6\"6$%)operatorG%&arrowGF&,$*&\"\"#\"\"\"9$F-F-F&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "D(f)(x); " }{TEXT -1 21 "isso \351 u ma expressao." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&\"\"#\"\"\"%\"xGF &F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "g:= x^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG*$)%\"xG\"\"#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "D(g);" }{TEXT -1 72 "isso t\341 errado. g \351 uma expressao, o D est\341 tendo problemas para engolir" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,$*(\"\"#\"\"\"-%\"DG6#%\"xGF&F*F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "D(g)(x);" }{TEXT -1 8 "Deu ruim" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\"#\"\"\"--%\"DG6#%\"xGF*F&-F+F* F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "Para derivar diretamente \+ expressoes e equacoes, usamos o diff" }}{PARA 11 "" 1 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "expr1:= x^3 + 3*x + 9;\nexpr 2:= x*y +8*x;\nexpr3:= x*y(x) + 8;\neq1:= x^2 + y(x)^3 = 19*x - 10;" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&expr1G,(*$)%\"xG\"\"$\"\"\"F**&F)F *F(F*F*\"\"*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&expr2G,&*&%\"xG\" \"\"%\"yGF(F(*&\"\")F(F'F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&exp r3G,&*&%\"xG\"\"\"-%\"yG6#F'F(F(\"\")F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G/,&*$)%\"xG\"\"#\"\"\"F+*$)-%\"yG6#F)\"\"$F+F+,&*&\"#>F+F )F+F+\"#5!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "diff(expr 1);" }}{PARA 8 "" 1 "" {TEXT -1 71 "Error, invalid input: diff expects 2 or more arguments, but received 1\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 133 "Ele nao processa se nao dizemos pra ele quem \351 a vari avel. (o solve, por exemplo, tenta adivivinhar a variavel se nao coloc amos nada)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(expr1, x);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,&*&\"\"$\"\"\")%\"xG\"\"#F&F&F%F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "diff(expr2,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"yG\"\"\"\"\")F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "diff(expr2,y);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 6 "expr3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&%\"xG \"\"\"-%\"yG6#F%F&F&\"\")F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "diff(expr3,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%\"yG6#%\"xG \"\"\"*&F'F(-%%diffG6$F$F'F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "eq1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,&*$)%\"xG\"\"#\"\"\"F )*$)-%\"yG6#F'\"\"$F)F),&*&\"#>F)F'F)F)\"#5!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "diff(eq1,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,&*&\"\"#\"\"\"%\"xGF'F'*(\"\"$F')-%\"yG6#F(F&F'-%%diffG6$F,F(F'F' \"#>" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 71 "Falamos sobre display num futuro proximo. Vai ser super legal, aguarde." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "Com voces, subs" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "reta:= a*x + 5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% %retaG,&*&%\"aG\"\"\"%\"xGF(F(\"\"&F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "A variavel 'a' nao est\341 declarada." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot( reta, x=-10..1 0);" }}{PARA 7 "" 1 "" {TEXT -1 92 "Warning, expecting only range vari able x in expression a*x+5 to be plotted but found name a\n" }}{PARA 8 "" 1 "" {TEXT -1 26 "Plotting error, empty plot" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 48 "ele nao consegue plotar pq ele nao sabe quem \351 \+ a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 " subs( a=3, reta);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&\"\"$\"\"\"% \"xGF&F&\"\"&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "subs(a=5 ,reta);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&\"\"&\"\"\"%\"xGF&F&F%F &" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "plot( [ subs(a=1, reta ), subs(a=3, reta), subs(a=-5, reta)], x=-10..10);" }}{PARA 13 "" 1 " " {GLPLOT2D 462 240 240 {PLOTDATA 2 "6'-%'CURVESG6$X4%)anythingG6\"6\" [gl'\"%!!!#[dl\"cw\"#!!!!!!!!C024000000000000C023CA2980FE78D5C0239B516 D7E2554C02366A315761652C023319B57FDF228C022FCD4207131ADC022CBE57FBFC5B 9C022993AE6CF3D17C02264D4B0F20727C0223099801594A5C021FADF96457A45C021C B8D21F54427C02196472058A3B3C02160C91EFFE5ADC0212D3C68DAA6E5C020FE6C880 16924C020C6C28A751F82C020979AEE069650C02060C0C6BEE7D6C0203033175956A5C 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(veremos que nao exatamente ao mesmo tempo)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "parab:= a*x^2 + b*x + c;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%¶bG,(*&%\"aG\"\"\")%\"xG\"\"#F (F(*&%\"bGF(F*F(F(%\"cGF(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "subs(\{a=1,b=2,c=3\}, parab);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#, (*$)%\"xG\"\"#\"\"\"F(*&F'F(F&F(F(\"\"$F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 27 "sera que colchete funciona?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "subs([a=1,b=2,c=3], parab);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"xG\"\"#\"\"\"F(*&F'F(F&F(F(\"\"$F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "tbm funciona. legal" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "E se tentamos confundir o sub s?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 101 "Se colocamos as substituicoes num colche te o chave, elas ocorrem simultaneamente. A ordem nao importa" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 29 "subs([a=2, b=a, c=3], parab);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&%\"aG\"\"\"%\"xGF&F&*&\"\"#F&)F'F)F&F&\"\"$F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "subs(a=2, b=a,c=3,parab);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&%\"aG\"\"\"%\"xGF&F&*&\"\"#F&)F'F )F&F&\"\"$F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "subs(b=a,a= 2,c=3,parab);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&\"\"#\"\"\")%\"xG F%F&F&*&F%F&F(F&F&\"\"$F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 92 "ISso causa uma certa confusao mas \351 facil de evitar. Na duvida, substit ua uma linha por vez." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "V amos usar o animate para explorar possibilides do subs" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "f:= x-> a*(x-3)^2 \+ + 2*b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operat orG%&arrowGF(,&*&%\"aG\"\"\"),&9$F/\"\"$!\"\"\"\"#F/F/*&F5F/%\"bGF/F/F (F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "?animate" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "plots[a nimate]( plot, [subs(a=t,b=t,f(x)), x=-10..10,y=-20..20, thickness=2], t=-5..5 );" }}{PARA 13 "" 1 "" {GLPLOT2D 332 242 242 {PLOTDATA 2 "6#- %(ANIMATEG6;7&-%'CURVESG6%X4%)anythingG6\"6\"[gl'\"%!!!#[dl\"cw\"#!!!!
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