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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 16 "Revis\343o de Maple" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 261 "
Abaixo um resumo curto de comandos que supomos serem de conhecimentos \+
dos alunos. Quem desejar consultar mais material pode procurar as p
\341ginas dos cursos de c\341lculo anteriores no site do Ciclo B\341si
co (C\341lculo I por exemplo tem arquivos pdf com aulas de Maple)." }
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}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 41 "Maple em princ\355pio faz contas
 simb\363licas." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 6 "1+1/2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"$\"\"#
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "Para resultado num\351rico, u
se" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "ev
alf(1+1/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+++++:!\"*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "# ou\n1+1./2;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#$\"+++++:!\"*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 168 "Isso pode fa
zer diferen\347a, principalmente se voc\352 tiver v\341rios c\341lculo
s em sequ\352ncia (loops com contas), uma vez que contas simb\363licas
 demoram mais para ser executadas." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 87 "O resultado do \372ltimo comando executad
o pelo Maple pode ser acessado com %. Um exemplo:" }{MPLTEXT 1 0 0 "" 
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{EXCHG {PARA 0 "" 0 "" {TEXT -1 103 "Cuidado: %  \351 o resultado que \+
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est\341 acima. " }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 7 "Fun\347\365es
" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Por vezes usamos express\365es
 do tipo" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
10 "f:=sin(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG-%$sinG6#%\"xG
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "e outras vezes fun\347\365es \+
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14 "F:=x-> sin(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGf*6#%\"xG6
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{TEXT -1 73 "Para calcular o seno em, digamos, x=Pi/4 os procedimentos
 s\343o diferentes:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
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{EXCHG {PARA 0 "" 0 "" {TEXT -1 185 "os \372ltimos dois argumentos diz
em que queremos que a escala seja preservada e dizemos a janela que o \+
gr\341fico deve usar. Eles s\343o opcionais e \351 recomend\341vel dar
 uma lida no help de plots." }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 21 "
Resolu\347\343o de Equa\347\365es" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
106 "Para achar ra\355zes de uma fun\347\343o de uma vari\341vel numer
icamente, um bom ponto de partida \351 fazer um desenho." }{MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "f:=exp(x)-x^2;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,&-%$expG6#%\"xG\"\"\"*$)F)\"\"#
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$$\"3!*******Rv&)z:F-$\"3Mx1!oP9$eBF-7$$\"3ILLLGUYo;F-$\"3bB6e+HC?DF-7
$$\"3_mmm1^rZ<F-$\"31u^%)Q4'po#F-7$$\"34++]sI@K=F-$\"3'yW1dB$p!*GF-7$$
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"Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 95 "variando a janela no
s convencemos que s\363 h\341 uma raiz da fun\347\343o, entre -1 e 0. \+
Para ach\341-la, use" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "fso
lve(f=0,x=-1..0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+DUnMq!#5" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Se formos ing\352nuos e pusermos s
implesmente" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "# um chute i
nicial \nfsolve(f=0,x=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+DUnMq!
#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "ou at\351" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 12 "fsolve(f=0);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$!+DUnMq!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 141 "A \+
coisa d\341 certo. Entretanto, se houver mais de uma raiz, \351 fundam
ental dar um intervalo de busca, de prefer\352ncia contendo uma \372ni
ca solu\347\343o." }}{PARA 0 "" 0 "" {TEXT -1 45 "Suponha que quero a \+
maior solu\347\343o de f=0 para" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 22 "f:=x^3-x^2-2*sin(x)+1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"
fG,**$)%\"xG\"\"$\"\"\"F**$)F(\"\"#F*!\"\"*&F-F*-%$sinG6#F(F*F.F*F*" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "plot(f,x=-2..2);" }}{PARA 
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6&%$RGBG$\"*++++\"!\")$F*F*F\\\\l-%+AXESLABELSG6$%\"xGQ!6\"-%%VIEWG6$;
F(Fa[l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 
0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "fsolve(f=0
);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+h^g*e%!#5" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 85 "e vemos que sem precisar onde buscar a solu\347
\343o podemos obter uma resposta indesejada." }}{PARA 0 "" 0 "" {TEXT 
-1 13 "Melhor fazer " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "fso
lve(f=0,x=1..2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+nl?i9!\"*" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "Se a conta for f\341cil, o Maple d
\341 todas as respotas." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "
f:=x^2-2*x-3:\nfsolve(f=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$!+++++
5!\"*$\"+++++IF%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 74 "Se n\343o hou
ver resposta, nada ser\341 dito (ou \340s vezes a pergunta \351 repeti
da)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "f:=x^2-2*x+3:\nfsolv
e(f=0);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "veja se voc\352 descob
re o que h\341 de errado acima." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 46 "Ainda, o comando solve resolve algebricam
ente:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "# isso n\343o func
iona para Baskara\nfsolve(a*x^2+b*x+c=0,x);" }}{PARA 8 "" 1 "" {TEXT 
-1 73 "Error, (in fsolve) \{a, b, c\} are in the equation, and are not
 solved for\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "# isso sim
\nsolve(a*x^2+b*x+c=0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,$*(\"\"#
!\"\"%\"aGF&,&%\"bGF&*$,&*$)F)F%\"\"\"F.*(\"\"%F.F'F.%\"cGF.F&#F.F%F.F
.F.,$*(F%F&,&F)F.F*F.F.F'F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "
Tudo que foi dito serve tamb\351m para sistemas de equa\347\365es:" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "# sistema linear\neq1:=x+y=
2;\neq2:=-2*x+y=13;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G/,&%\"xG
\"\"\"%\"yGF(\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq2G/,&*&\"\"
#\"\"\"%\"xGF)!\"\"%\"yGF)\"#8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 24 "fsolve(\{eq1,eq2\},\{x,y\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#<$/%\"xG$!+nmmmO!\"*/%\"yG$\"+nmmmcF(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 49 "# sistema n\343o linear\n\neq1:=x^2+y^2=4;\neq2:=x*y=
1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G/,&*$)%\"xG\"\"#\"\"\"F+*
$)%\"yGF*F+F+\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq2G/*&%\"xG
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