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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 258 6 "Aula 6" }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 98 "Nesta aula chamaremos a aten\347\343o para alguns aspecto
s do Maple V, quando utilizado para Matem\341tica." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "- " }{TEXT 260 60 "A quest
\343o da atribui\347\343o de valores e express\365es a vari\341veis:" 
}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 46 "Em Mate
m\341tica temos as equa\347\365es, por exemplo, " }{XPPEDIT 18 0 "x^2+
y^2=4" "/,&*$%\"xG\"\"#\"\"\"*$%\"yGF&F'\"\"%" }{TEXT -1 87 ", que alg
umas vezes tamb\351m podem representar fun\347\365es, e temos as fun
\347\365es, por exemplo, " }{XPPEDIT 18 0 "y=-sqrt(4-x^2)" "/%\"yG,$-%
%sqrtG6#,&\"\"%\"\"\"*$%\"xG\"\"#!\"\"F." }{TEXT -1 65 ", que represen
ta a parte inferior do gr\341fico da equa\347\343o anterior." }}{PARA 
0 "" 0 "" {TEXT -1 144 "Uma vari\341vel no Maple poder ter a si atribu
\355da tanto uma express\343o como uma equa\347\343o, ou seja, suponha
mos as vari\341veis y1 e y2, ent\343o podemos ter" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 14 "y1:=x^2+y^2=4;" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%#y1G/,&*$%\"xG\"\"#\"\"\"*$%\"yGF)F*\"\"%" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 4 "como" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "
y2:=x^2+y^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G,&*$%\"xG\"\"#\"
\"\"*$%\"yGF(F)" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 172 "O que ir\341 \+
variar depender\341 de qual tipo de comando estaremos utilizando para \+
atingir o objetivo desejado. Por exemplo, se quisermos o valor de y em
 fun\347\343o de x na equa\347\343o  " }{XPPEDIT 18 0 "x^2+y^2=4" "/,&
*$%\"xG\"\"#\"\"\"*$%\"yGF&F'\"\"%" }{TEXT -1 42 ", podemos fazer isso
 utilizando o comando " }{TEXT 256 5 "solve" }{TEXT -1 35 ". Veja o qu
e acontece em cada caso:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 
"solve(y1,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$,&*$%\"xG\"\"#!\"\"
\"\"%\"\"\"#F*F',$F#F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "s
olve(y2=4,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$,&*$%\"xG\"\"#!\"\"
\"\"%\"\"\"#F*F',$F#F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "s
olve(y2,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*&%\"IG\"\"\"%\"xGF%,$F
#!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 162 "Observe que na \372lti
ma tentativa, como y2 \351 uma express\343o e n\343o uma equa\347\343o
, quando n\343o igualada a 4, o comando iguala, ele pr\363prio, a expr
ess\343o a zero. Portanto, " }{TEXT 257 13 "muito cuidado" }{TEXT -1 
101 " na utiliza\347\343o do recurso de atribui\347\343o de uma expres
s\343o a uma variavel quando for utilizar comando. " }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "- " }{TEXT 261 52 "Como \+
reiniciar as vari\341veis iniciadas anteriormente:" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 207 "Como os comandos do Mapl
e V funcianam de maneira seq\374encial, muitas vezes a utiliza\347\343
o de uma mesma vari\341vel pode induzir a problemas. Vejamos um exempl
o. Suponhamos que queiramos calcular o valor da fun\347\343o " }
{XPPEDIT 18 0 "y=x^2-2" "/%\"yG,&*$%\"xG\"\"#\"\"\"F'!\"\"" }{TEXT -1 
105 ", em x = 4, e fa\347amos isso atribuindo a var\355avel x o valor \+
4 e pedindo que seja substituido na  fun\347\343o y." }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "x:=4;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG\"\"%" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 11 "(x^2-2);   " }{TEXT -1 91 "          Observe aqui \+
que, quando montamos a equa\347\343o o Maple considere automaticamente
 x=4" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#9" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 16 "subs(x=4,x^2-2);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#\"#9" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 70 "Suponhamos agora qu
e queiramos fazer a vari\341vel y3 ser igual a fun\347\343o " }
{XPPEDIT 18 0 "sin(Pi/8*x)" "-%$sinG6#*(%#PiG\"\"\"\"\")!\"\"%\"xGF'" 
}{TEXT -1 22 ". Veja o que acontece:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "y3:=(sin(Pi/8*x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%#y3G\"\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 266 "Ora, apesar de \+
agora estarmos pensando em x como vari\341vel, anteriormente atribu
\355mos a ela um valor. Para saber qual valor est\341 sendo atribu\355
do a uma vari\341vel, basta escrever a vari\341vel, colocar ponto e v
\355rgula e depois dar enter. aparecer\341 ent\343o o valor da vari
\341vel." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "x;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#\"\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "Pa
ra sanar esse problema voc\352 pode usar o comado " }{TEXT 259 9 "rest
art. " }{TEXT -1 317 "Esse comando apaga da mem\363ria do Maple todas \+
seus atos anteriores a eles, sejam atribui\347\365es de vari\341veis, \+
libraries chamadas, procedimentos e dados armazenados. ele n\343o reto
rnar\341 a mem\363ria armazenda antes de tal comando ser utilizado,o q
ue implica que qualquer mem\363ria utlizada por ele aparecer\341 como \+
livre, portanto " }{TEXT 263 10 "cuidado!. " }{TEXT -1 84 "Se voc\352 \+
 quiser evitar alguma perda irrepar\341vel, o melhor \351 reiniciar ou
tra sess\343o (" }{TEXT 262 9 "File, New" }{TEXT -1 2 ")." }}{PARA 0 "
" 0 "" {TEXT -1 53 "O comando restar n\343o pode ser utilizado dentro \+
de um " }{TEXT 264 5 "proc " }{TEXT -1 40 "onde dentro de um programa \+
onde apare\347a " }{TEXT 265 5 "read." }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}}{SECT 0 {PARA 0 "" 0 "examples" {TEXT 26 9 "Examples:" }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "a := 2;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"aG\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
19 "f:=a*3+5/sqrt(a+2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG#\"#<
\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "a;" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
11 "restart;\na;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"aG" }}}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 2 "- " }{TEXT 266 24 "A quest\343o dos  gr
\341ficos:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 107 "V\341rios comandos podem ser utilizados para plotar gr\341fico
s. basicamente podemos trabalhar com v\341rios deles: " }{TEXT 267 38 
"plot, implicitplot, display, pointplot" }{TEXT -1 17 ". Com exce\347
\343o de " }{TEXT 268 4 "plot" }{TEXT -1 54 ", todos os outros pedem q
ue seja chamada a biblioteca " }{TEXT 269 5 "plots" }{TEXT -1 1 "." }}
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