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<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font size="18" bold="true" foreground="[51,51,153]" encoding="UTF-8">N\303\272meros Complexos</Font></Text-field><Text-field style="Text" layout="Normal" alignment="centred"></Text-field><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Aqui vemos algumas formas de trabalhar com n\303\272meros complexos no Maple. Repare que em vez do comando evalf( ) iremos usar o comando evalc( ) que serve para calcular valores com numeros imagin\303\241rios:</Font></Text-field><Text-field style="Text" layout="Normal">(Aproveitamos aqui para demonstrar algumas propriedades dos numeros complexos)</Text-field><Text-field style="Text" layout="Normal"></Text-field>
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</Output>
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<Group view="code" hide-input="false" labelreference="L61" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEmZXZhbGNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JS1JJm1mcmFjR0YkNigtRjY2JC1GIzYqLUYsNiVRImFGJ0YvRjItSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZMLyUpc3RyZXRjaHlHRkwvJSpzeW1tZXRyaWNHRkwvJShsYXJnZW9wR0ZMLyUubW92YWJsZWxpbWl0c0dGTC8lJ2FjY2VudEdGTC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmVuLUZFNi1RIitGJ0ZIRkpGTUZPRlFGU0ZVRlcvRlpRLDAuMjIyMjIyMmVtRicvRmduRlxvRkQtRiw2JVEiSUYnRi9GMi1GRTYtUScmc2RvdDtGJ0ZIRkpGTUZPRlFGU0ZVRldGWUZmbi1GLDYlUSJiRidGL0YyRkhGSC1GIzYlLUY2NiQtRiM2Ki1GLDYlUSJjRidGL0YyRkRGaG5GREZeb0Zhby1GLDYlUSJkRidGL0YyRkhGSC1GLDYjUSFGJ0ZILyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZbcS8lKWJldmVsbGVkR0ZMLyUrZXhlY3V0YWJsZUdGTEZIRkhGYHFGSA==">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</Equation></Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCgqKEkiYUc2IiIiIkkiY0dGJUYmLCYqJClGJyIiI0YmRiYqJClJImRHRiVGK0YmRiYhIiJGJiooSSJiR0YlRiZGLkYmRihGL0YmKiZeI0YmRiYsJiooRjFGJkYnRiZGKEYvRiYqKEYkRiZGLkYmRihGL0YvRiZGJg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L101" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Aqui aplicamos um comando chamado normal( ) para simplificarmos o resultado anterior:</Text-field><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L11" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSZtZnJhY0dGJDYoLUYjNiotRiM2KC1JI21uR0YkNiRRLSZJbWFnaW5hcnlJO0YnRi8tRiw2LVExJkludmlzaWJsZVRpbWVzO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZVLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0ZRLUZYNiVRImRGJ0ZlbkZobkYvLUYsNi1RKCZtaW51cztGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUYjNihGTUZRLUZYNiVRImJGJ0ZlbkZobkZRLUZYNiVRImNGJ0ZlbkZobkYvRl1vLUYjNiZGV0ZRRmVvRi9GXW8tRiM2JkZib0ZRRmpuRi9GLy1GIzYmLUklbXN1cEdGJDYlRmVvLUZONiRRIjJGJ0YvLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GLDYtUScmcGx1cztGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUZfcDYlRmpuRmFwRmRwRi8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmFxLyUpYmV2ZWxsZWRHRjRGLw==">LCQqJiwqKiheIyIiIkYnSSJhRzYiRidJImRHRilGJ0YnKigsJEYmRidGJ0kiYkdGKUYnSSJjR0YpRichIiIqJkYoRidGLkYnRi8qJkYtRidGKkYnRi9GJywmKiQpRi4iIiNGJ0YnKiQpRipGNUYnRidGL0Yv</Equation></Text-field>
</Output>
</Group></Presentation-Block>
<Group labelreference="L168" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Veja um exemplo abaixo com os numeros u e v:</Text-field><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L1" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Mais alguns exemplos abaixo:</Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Tambem podemos atribuir numeros imaginarios a variaveis e trabalhar com elas normalmente. Apenas atente-se que ser\303\241 calculado conforme um numero imagin\303\241rio:</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Repare que assim como outras opera\303\247\303\265es, podemos mesclar os numeros imagin\303\241rios com outras opera\303\247\303\265es como raizes e m\303\263dulos:</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Aqui temos o uso do comando conjugate( ) que mantem a parte real com o mesmo valor, porem inverte o valor da parte imagin\303\241ria:</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctRiw2JFEtJkltYWdpbmFyeUk7RidGL0Yv">LCYiIiMiIiJeI0YkISIi</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Podemos tambem converter os numeros imaginarios para uma outra coordenada. Para isso usamos o comando convert( ) e passamos a express\303\243o e coordenada para qual queremos converter:</Font></Text-field><Text-field style="Text" layout="Normal">(No exemploa abaixo, iremos converter para coordenadas polares):</Text-field><Text-field style="Text" layout="Normal"></Text-field>
</Input>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Veja como os valores de I interagem com as outras constantes j\303\241 carregadas no Maple como Pi:</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L81" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbXNxcnRHRiQ2Iy1JI21uR0YkNiRRIjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUScmcGx1cztGJ0YyLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y7LyUpc3RyZXRjaHlHRjsvJSpzeW1tZXRyaWNHRjsvJShsYXJnZW9wR0Y7LyUubW92YWJsZWxpbWl0c0dGOy8lJ2FjY2VudEdGOy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkotRi82JFEtJkltYWdpbmFyeUk7RidGMkYy">LCYqJCkiIiQjIiIiIiIjRidGJ14jRidGJw==</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O Maple possui um comando para calcular todos as raizes de uma equa\303\247\303\243o. O comando RootOf( ) serve para esse proposito. Porem ele n\303\243o exibe todas as raizes possiveis, para isso usamos o comando allvalues( ):</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
</Input>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Aqui iremos armazenar as possiveis raizes na variavel b e calcula-las:</Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal">Vemos aqui outros exemplos:</Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJkR0YoNiYsJiIiJiIiIiomIiIjRjFeI0YxRjFGMSwmRjMhIiIqJkYwRjFGNEYxRjEsJkYwRjZGMkY2LCZGM0YxRjdGNjcmRi9GNUY4Rjk=</Equation></Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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