Cap\303\255tulo 6 C\303\241lculo Diferencial e Integral Fun\303\247\303\265es Matem\303\241ticas e DerivadaEsta se\303\247\303\243o \303\251 importante. O leitor deve ler cuidadosamente e, principalmente, entender a diferen\303\247a entre express\303\243o alg\303\251brica e fun\303\247\303\243o. Qualquer mau entendimento desta diferen\303\247a provoca diversos problemas de dif\303\255cil corre\303\247\303\243o no uso de Maple. O leitor deve tamb\303\251m entender a diferen\303\247a entre "o nome de uma fun\303\247\303\243o" e "a express\303\243o alg\303\251brica que define a fun\303\247\303\243o".Definindo uma Fun\303\247\303\243o e Calculando a DerivadaO Maple tem uma grande variedade de fun\303\247\303\265es definidas internamente, incluindo as fun\303\247\303\265es trigonom\303\251tricas, hiperb\303\263licas, el\303\255ticas, hipergeom\303\251tricas, de Bessel e muitas outras. A lista completa pode ser obtida atrav\303\251s do help on line com o comando ?inifcn. Todos os comandos do Maple, como o comando de integra\303\247\303\243o, de diferencia\303\247\303\243o, de limite, etc., est\303\243o aptos a reconhecer estas fun\303\247\303\265es e fornecer o resultado esperado. Por maior que seja a lista das fun\303\247\303\265es definidas internamente pelo Maple, um usu\303\241rio necessita definir suas pr\303\263prias fun\303\247\303\265es, por exemplo, generalizando fun\303\247\303\265es j\303\241 existentes. Estas fun\303\247\303\265es definidas pelo usu\303\241rio ser\303\243o incluidas na lista das fun\303\247\303\265es do Maple no sentido de que elas tamb\303\251m ser\303\243o reconhecidas pelos comandos de diferencia\303\247\303\243o, integra\303\247\303\243o, etc., como fun\303\247\303\265es v\303\241lidas, mas n\303\243o ser\303\243o reinicializadas automaticamente caso o usu\303\241rio sai do Maple ou d\303\252 o comando restart. O usu\303\241rio deve salvar a worksheet e processar os comandos para ativar a fun\303\247\303\243o.Para definir uma fun\303\247\303\243o no Maple usamos o operador seta (->), isto \303\251, sinal de menos seguido do sinal de maior. Por exemplo, a fun\303\247\303\243o 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 \303\251 definida da seguinte maneira.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==PkkiZkc2ImYqNiNJInhHRiRGJDYkSSlvcGVyYXRvckdGJEkmYXJyb3dHRiRGJComLCYqJDkkIiIjIiIiISIiRjBGMCwmRi1GMEYwRjBGMUYkRiRGJA==Podemos avaliar essa fun\303\247\303\243o em um ponto ou encontrar sua derivada com o comando diff.LUkiZkc2IjYjIiIiLUkpc2ltcGxpZnlHNiI2Iy1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJmR0YkNiNJInhHRiRGLQ==Tamb\303\251m \303\251 poss\303\255vel definir uma fun\303\247\303\243o da formaPkkiZ0c2ImYqNiNJInhHRiRGJDYkSSlvcGVyYXRvckdGJEkmYXJyb3dHRiRGJCokOSQiIiNGJEYkRiQ=desde que escolha function definition na janela que se abre ap\303\263s dar o comando acima. Por\303\251m, este m\303\251todo deve ser evitado em vers\303\265es antigas do Maple.\303\211 importante distinguir uma fun\303\247\303\243o (tem vari\303\241veis) de uma express\303\243o alg\303\251brica (n\303\243o t\303\252m vari\303\241veis). Por exemplo, vamos definir express\303\243o alg\303\251brica:PkklZXhwckc2Ii1JJHNpbkdGJDYjKiZJImFHRiQiIiJJInhHRiRGKg==No comando acima, 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 \303\251 uma express\303\243o que foi atribuida a vari\303\241vel expr. N\303\243o podemos considerar expr como uma fun\303\247\303\243o de x, pois n\303\243o obter\303\255amos o resultado desejado com o comando expr(LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg==):LUklZXhwckc2IjYjSSNQaUclKnByb3RlY3RlZEc=O resultado desejado era 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. Para obter o valor da fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSRzaW5GJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2PlEwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdGNkY0LyUqdW5kZXJsaW5lR0Y2LyUqc3Vic2NyaXB0R0Y2LyUsc3VwZXJzY3JpcHRHRjYvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGNi8lK2V4ZWN1dGFibGVHRjYvJSlyZWFkb25seUdGNi8lKWNvbXBvc2VkR0Y2LyUqY29udmVydGVkR0Y2LyUraW1zZWxlY3RlZEdGNi8lLHBsYWNlaG9sZGVyR0Y2LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y2RjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZccC1JKG1mZW5jZWRHRiQ2JC1GIzYmRistRiM2Ji1GLDYlUSJhRicvRjVRJXRydWVGJy9GOFEnaXRhbGljRictRjs2LVExJkludmlzaWJsZVRpbWVzO0YnRjdGXG9GXm9GYG9GYm9GZG9GZm9GaG9Gam9GXXAtRiw2JVEieEYnRmlwRltxRjdGK0Y3RjdGN0YrRjc= em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRJSZwaTtGJy9GNUZCRj5GPkYrRj4=, temos que usar o comando subs ou algsubs:LUkoYWxnc3Vic0c2IjYkL0kieEdGJEkjUGlHJSpwcm90ZWN0ZWRHSSVleHByR0YkPara definir uma verdadeira fun\303\247\303\243o a partir uma express\303\243o alg\303\251brica j\303\241 nomeada, devemos usar o comando unapply (em vez do operador seta):PkkiRkc2Ii1JKHVuYXBwbHlHRiQ2JEklZXhwckdGJEkieEdGJA==Neste caso especificamos que a express\303\243o 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 \303\251 uma fun\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 um par\303\242metro. At\303\251 agora, o Maple n\303\243o tinha condi\303\247\303\265es de saber se quer\303\255amos uma fun\303\247\303\243o na vari\303\241vel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= tendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= como par\303\242metro ou vice-versa. Vejamos o que ocorre com esta nova defini\303\247\303\243o:LUkiRkc2IjYjSSNQaUclKnByb3RlY3RlZEc=LUkiRkc2IjYjSSJ5R0YkLUkiRkc2IjYjSSJ4R0YkATEN\303\207\303\203O: N\303\243o deixe espa\303\247o entre a fun\303\247\303\243o e o par\303\252ntese esquerdo. Por exemplo, "F (a)" produz um resultado diferente de F(a). "F (a)" quer dizer o produto de F por a.Assim podemos obter o valor da fun\303\247\303\243o em um ponto da forma F(ponto). Podemos dizer que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 o nome da fun\303\247\303\243o 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. Vejamos:LUklZXZhbEclKnByb3RlY3RlZEc2I0kiRkc2Ig==Exitem alguns comandos no Maple que t\303\252m fun\303\247\303\265es como argumento. Eles n\303\243o aceitam uma express\303\243o alg\303\251brica como argumento. Este \303\251 o caso do operador D, que s\303\263 atua em fun\303\247\303\265es dando como resultado outras fun\303\247\303\265es (a derivada). Por exemplo:LUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJGR0YnO comando acima est\303\241 com a sintaxe correta. O comando abaixo est\303\241 com a sintaxe errada.LUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSVleHByR0YnLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KC1GLDYmUSJERicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNi8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDY+UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR0Y2RjQvJSp1bmRlcmxpbmVHRjYvJSpzdWJzY3JpcHRHRjYvJSxzdXBlcnNjcmlwdEdGNi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y2RjcvJSlyZWFkb25seUdGNi8lKWNvbXBvc2VkR0Y2LyUqY29udmVydGVkR0Y2LyUraW1zZWxlY3RlZEdGNi8lLHBsYWNlaG9sZGVyR0Y2LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y2RjkvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZccC1JKG1mZW5jZWRHRiQ2JS1GIzYoRistRiM2KC1GLDYmUSRzaW5GJ0Y0RjdGOUY8LUZgcDYlLUYjNihGKy1GIzYoLUYsNiZRImFGJy9GNVEldHJ1ZUYnRjcvRjpRJ2l0YWxpY0YnLUY9Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y5RlxvRl5vRmBvRmJvRmRvRmZvRmhvRmpvRl1wLUYsNiZRInhGJ0ZicUY3RmRxRjcvJTBmb250X3N0eWxlX25hbWVHUSsyRH5Db21tZW50RidGOUYrRjdGXHJGOUY3RjlGN0ZcckY5RitGN0ZcckY5RjdGOUY3RlxyRjlGK0Y3RlxyRjk= tem a sintaxe errada, pois o operador D est\303\241 sendo aplicado a uma express\303\243o. Vamos comparar com o operador diff. Este atua em express\303\265es alg\303\251bricas e tamb\303\251m retorna uma express\303\243o alg\303\251brica. Por exemplo:LUklZGlmZkclKnByb3RlY3RlZEc2JC1JIkZHNiI2I0kieEdGKEYqOutro comando perfeitamente v\303\241lido:LUklZGlmZkclKnByb3RlY3RlZEc2JEklZXhwckc2IkkieEdGJw==A derivada segunda \303\251 obtida da seguinte formaLS1JI0BARzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiRJIkRHRiUiIiM2I0kiRkdGKA==Note que os par\303\252nteses s\303\243o obrigat\303\263rios. Se os par\303\252nteses n\303\243o forem colocados, obteremosLSokSSJERzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiIiIjNiNJIkZHRig=que \303\251 equivalente a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSJERicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GMzYkLUYjNiQtRiw2JVEiRkYnL0Y7USV0cnVlRicvRj5RJ2l0YWxpY0YnRj1GPUY9Rj0tRiM2JS1JI21uR0YkNiRRIjJGJ0Y9RkdGSS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGPQ==, isto \303\251, o quadrado de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJGRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGMkYyRjI=.Vimos que a letra D \303\251 usada como operador diferencial. Todos os comandos do Maple est\303\243o protegidos contra atribui\303\247\303\243o. Por exemplo, o comandoLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSomY29sb25lcTtGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjFGJ0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjFGMg==retorna um erro. Se o usu\303\241rio faz quest\303\243o absoluta de usar D como vari\303\241vel em alguma aplica\303\247\303\243o, o usu\303\241rio pode usar o comando unprotect para liberar a prote\303\247\303\243o sobre D. O comando restart far\303\241 o operador D voltar a ser o que era. O usu\303\241rio tamb\303\251m pode proteger nomes atrav\303\251s do comando protect.Como vimos acima, uma outra maneira de definir uma fun\303\247\303\243o \303\251 usar diretamente o operador seta (-> sinal de menos seguido do maior). Por exemplo: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 forma n\303\243o \303\251 necessariamente equivalente ao comando unapply.ATEN\303\207\303\203O: Quando usar o operador seta (->), a express\303\243o da fun\303\247\303\243o deve ser dada explicitamente. N\303\243o devemos usar % dentro do operador seta. Veja a seguinte sequ\303\252ncia de comandos problem\303\241tica.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNiQtSSVtc3VwR0YkNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GPVEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRkNGKy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0ZDRitGSEZLRkM=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 problema ocorreu porque o operador seta n\303\243o avalia a express\303\243o colocada no lado direito. O objetivo era definir a fun\303\247\303\243o 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\303\251m o resultado foi catastr\303\263fico. Neste caso precisamos usar o comando unapply: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNiQtSSVtc3VwR0YkNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GPVEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRkNGKy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0ZDRitGSEZLRkM=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\303\247\303\243o a esta regra \303\251 o uso de label da express\303\243o. Por 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUkjbW5HRiQ2JFEiMkYnL0YzUSdub3JtYWxGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Y+Rj5GQEZDRj4=Para colocar um label em uma express\303\243o, o usu\303\241rio deve clicar no INSERIR ou INSERT, clicar em LABEL (gerando um nova janela), e digitar no n\303\272mero do label (com os pontos) no espa\303\247o apropriado na janela. Se houver alguma mudan\303\247a no n\303\272mero de express\303\265es anteriores \303\240 linha do label, o n\303\272mero do label \303\251 atualizado automaticamente.\303\211 preciso entender que existem alguns comandos no Maple que n\303\243o avaliam os operandos antes da execu\303\247\303\243o. A maioria dos comandos avaliam os operandos, por\303\251m isto tamb\303\251m pode ser um problema. Vamos ver um exemplo. Vamos contruir a fun\303\247\303\243o que soma o MDC com o MMC de dois n\303\272meros. Por exemplo, o MDC de 25 e 15 \303\251 5 e o MMC \303\251 75, de forma que a fun\303\247\303\243o deve retornar 80. Confirmando no Maple: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Vamos construir duas vers\303\265es, a primeira usando o comando unapply e a segunda usando o operador seta: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Obtivemos o resultado errado com F1. A fun\303\247\303\243o foi definida de maneira incorreta e o motivo foi que o comando unapply avaliou os seus argumentos antes de criar a fun\303\247\303\243o. A avalia\303\247\303\243o de 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 \303\251 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, como podemos verificar: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De fato:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVElZXZhbEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRI0YxRidGL0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZDRj1GQEZDA maneira correta de definir esta fun\303\247\303\243o usando o comando unapply \303\251: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A vers\303\243o com o operador seta n\303\243o sofre deste problema, pois seus argumentos n\303\243o s\303\243o avaliados.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVElZXZhbEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRI0YyRidGL0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZDRj1GQEZDDerivada ParcialA derivada parcial tamb\303\251m \303\251 calculada com o comando diff. Por exemplo, vamos definir uma fun\303\247\303\243o de duas vari\303\241veis e calcular a derivada parcial em rela\303\247\303\243o ao segundo argumento.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Atrav\303\251s do operador D podemos calcular a "fun\303\247\303\243o derivada parcial".LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiYtRiM2Ji1JI21uR0YkNiRRIjJGJ0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjFGMkYyLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnLUY2NiQtRiM2Ji1GLDYlUSJmRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGPkZBRjJGMkY+RkFGMg==Note que quando aplicamos o operador D \303\240 uma fun\303\247\303\243o de duas ou mais vari\303\241veis temos que especificar a posi\303\247\303\243o da vari\303\241vel. A derivada parcial de segunda ordem 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 em rela\303\247\303\243o a segunda vari\303\241vel \303\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A derivada mista 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 \303\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 obter a express\303\243o 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 devemos usar a 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 o operador D, \303\251 poss\303\255vel calcular diretamente a derivada em um ponto, por 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Isto n\303\243o \303\251 poss\303\255vel de ser feito como o comando diff.Fun\303\247\303\265es An\303\264nimasDiversos comandos do Maple usam fun\303\247\303\265es como argumento e muitas vezes \303\251 mais econ\303\264mico usar uma fun\303\247\303\243o an\303\264nima. Vejamos alguns exemplos. Suponha que temos uma lista com 20 n\303\272meros aleat\303\263rios menores ou iguais a 10: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Queremos selecionar os n\303\272meros s\303\243o menores que 5.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnc2VsZWN0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNjAtSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtRiw2JVEieEYnRi9GMkY6LUY7Ni1RKCZzcmFycjtGJ0Y+RkBGQ0ZFRkdGSUZLRk1GT0ZSRjpGVC1GOzYtUSI8RidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjI3Nzc3NzhlbUYnL0ZTRmhuLUkjbW5HRiQ2JFEiNUYnRj4tRjs2LVEiLEYnRj5GQC9GREYxRkVGR0ZJRktGTUZPL0ZTUSwwLjMzMzMzMzNlbUYnRjotRiw2JVEiTEYnRi9GMi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZCRj5GPkZnb0Zqb0Y+Usamos a fun\303\247\303\243o booleana an\303\264nima 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 como primeiro operando do comando select. O segundo operando deve ser uma estrutura de dados, cujos elementos queremos selecionar. A sa\303\255da \303\251 uma estrutura de dados do mesmo tipo com os elementos que satisfazem \303\240 fun\303\247\303\243o booleana. Lembre, o primeiro argumento deve ser uma fun\303\247\303\243o booleana (retorna false ou true).A fun\303\247\303\243o an\303\264nima pode ter duas vari\303\241veis. Por exemplo, para associar elementos de duas listas, podemos usar o comando zip: 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 primeiro operando do comando zip deve ser uma fun\303\247\303\243o de duas vari\303\241veis. A primeira vari\303\241vel assume valores em L1 (segundo operando) e a segunda vari\303\241vel assume valores em L2 (terceiro operando). O comando zip tamb\303\251m pode ser usado com vetores e matrizes, por\303\251m n\303\243o deve ser usado com conjuntos.\303\201lgebra e Composi\303\247\303\243o de Fun\303\247\303\265es (@ e @@)Podemos somar, multiplicar e compor duas ou mais fun\303\247\303\265es. Por exemplo, se temos uma equa\303\247\303\243o e queremos subtrair o lado direito do lado esquerdo podemos usar a soma das fun\303\247\303\265es lhs e rhs: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O \303\272ltimo comando \303\251 equivalente 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por\303\251m tem um sentido diferente. No primeiro caso, fizemos uma subtra\303\247\303\243o de fun\303\247\303\265es antes de aplicar ao argumento. No segundo caso fizemos uma subtra\303\247\303\243o usual de express\303\265es alg\303\251bricas.Vejamos outros exemplos. Vamos elevar a fun\303\247\303\243o seno ao quadrado e depois aplic\303\241-lo ao ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg==.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 agora como fazer composi\303\247\303\243o de fun\303\247\303\265es dentro das \303\241lgebra de fun\303\247\303\265es.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O s\303\255mbolo @ \303\251 o operador de composi\303\247\303\243o de fun\303\247\303\265es enquanto que F@@n quer dizer F@F@F... n vezes. Isso explica porque o \303\272ltimo resultado \303\251 zero. O primeiro resultado, por sua vez, deu o que \303\251 esperado, pois composi\303\247\303\243o de func\303\265es \303\251 equivalente a aplica\303\247\303\243o sucessivas das fun\303\247\303\265es. Vejamos outros exemplos: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNiktRiw2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2KC1GLDYlUSJ4RidGNkY5LUY9Ni1RKCYjODU5NDtGJ0ZARkJGRUZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVGaW4tSSVtc3VwR0YkNiUtRiw2JVEiYUYnRjZGOUZYLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZERkBGK0Zkb0Znb0ZARitGZG9GZ29GQEYrRmRvRmdvRkA=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJGRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjQEBGJy9GOFEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUS1JI21uR0YkNiRRIjVGJ0Y+LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRkJGPkY+LUYsNiQtRiM2Ji1GMTYlUSJ4RidGNEY3RlhGZW5GPkY+RlhGZW5GPg==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNiktRiw2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2KC1GLDYlUSJ4RidGNkY5LUY9Ni1RKCYjODU5NDtGJ0ZARkJGRUZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVGaW4tSSZtZnJhY0dGJDYoLUYjNiYtSSNtbkdGJDYkUSIxRidGQC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0ZERkAtRiM2KEYrLUYjNiZGYG8tRj02LVEiK0YnRkBGQkZFRkdGSUZLRk1GTy9GUlEsMC4yMjIyMjIyZW1GJy9GVUZhcEZYRkBGK0Zkb0Znb0ZALyUubGluZXRoaWNrbmVzc0dGY28vJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZ3AvJSliZXZlbGxlZEdGREZkb0Znb0ZARitGZG9GZ29GQEYrRmRvRmdvRkBGK0Zkb0Znb0ZALUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2JS1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRIkdGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSNAQEYnL0Y9USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRy8lKXN0cmV0Y2h5R0ZHLyUqc3ltbWV0cmljR0ZHLyUobGFyZ2VvcEdGRy8lLm1vdmFibGVsaW1pdHNHRkcvJSdhY2NlbnRHRkcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZWLUkjbW5HRiQ2JFEiNEYnRkNGQ0ZDLUYyNiQtRiM2JC1GLDYlUSJ4RidGOUY8RkNGQ0ZDRisvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdGR0ZDLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNigtRiw2JVEmZXZhbGZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDY+UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR1EmZmFsc2VGJy9GN0ZILyUqdW5kZXJsaW5lR0ZILyUqc3Vic2NyaXB0R0ZILyUsc3VwZXJzY3JpcHRHRkgvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGSC8lK2V4ZWN1dGFibGVHRkgvJSlyZWFkb25seUdGSC8lKWNvbXBvc2VkR0ZILyUqY29udmVydGVkR0ZILyUraW1zZWxlY3RlZEdGSC8lLHBsYWNlaG9sZGVyR0ZILyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZIL0Y6USdub3JtYWxGJy8lJmZlbmNlR0ZILyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmJwLUkobWZlbmNlZEdGJDYkLUYjNihGKy1GIzYoLUYsNiVRJXN1YnNGJ0Y2RjlGPC1GZnA2JC1GIzYpRistRiM2KC1GLDYlUSJ4RidGNkY5LUY9Ni1RIj1GJ0Zgb0Zib0Zkb0Zmb0Zob0Zqb0ZccEZecC9GYXBRLDAuMjc3Nzc3OGVtRicvRmRwRlxyLUkjbW5HRiQ2JFEiMUYnRmBvRlBGWEZgby1GPTYtUSIsRidGYG9GYm8vRmVvRjhGZm9GaG9Gam9GXHBGXnBGYHAvRmRwUSwwLjMzMzMzMzNlbUYnLUYsNiVRIiVGJ0Y2RjlGUEZYRmBvRmBvRlBGWEZgb0YrRlBGWEZgb0Zgb0ZQRlhGYG9GK0ZQRlhGYG9GK0ZQRlhGYG8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNigtRiw2JVEmZXZhbGZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDY+UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR1EmZmFsc2VGJy9GN0ZILyUqdW5kZXJsaW5lR0ZILyUqc3Vic2NyaXB0R0ZILyUsc3VwZXJzY3JpcHRHRkgvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGSC8lK2V4ZWN1dGFibGVHRkgvJSlyZWFkb25seUdGSC8lKWNvbXBvc2VkR0ZILyUqY29udmVydGVkR0ZILyUraW1zZWxlY3RlZEdGSC8lLHBsYWNlaG9sZGVyR0ZILyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZIL0Y6USdub3JtYWxGJy8lJmZlbmNlR0ZILyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmJwLUkobWZlbmNlZEdGJDYkLUYjNictRmZwNiQtRiM2KC1GLDYlUSJHRidGNkY5LUY9Ni1RI0BARidGYG9GYm9GZG9GZm9GaG9Gam9GXHBGXnBGYHBGY3AtSSNtbkdGJDYkUSQxMDBGJ0Zgb0ZQRlhGYG9GYG8tRmZwNiQtRiM2Ji1GZXE2JFEiMUYnRmBvRlBGWEZgb0Zgb0ZQRlhGYG9GYG9GUEZYRmBvRitGUEZYRmBvRitGUEZYRmBvSe o operador @@ for usado com um n\303\272mero negativo, o Maple entende que a fun\303\247\303\243o inversa deve ser usada: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Exerc\303\255cioDefina a fun\303\247\303\243o 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 usando o operador seta. Calcule a segunda derivada no ponto 0 usando o operador D. Calcule a segunda derivada usando o comando diff e substitua o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn por 0. Os resultados s\303\243o iguais?Solu\303\247\303\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Uma maneira alternativa mais complicada de calcular a derivada segunda usando o operador D \303\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IntegralA integral indefinida de uma express\303\243o pode ser obtida com o comando int, por exemploLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJkkieEdGJyIiIiwmKiRGKiIiJEYrRitGKyEiIkYqExiste a forma inerte que mostra a integral sem executar:LUkkSW50RzYiNiQqJkkieEdGJCIiIiwmKiRGJyIiJEYoRihGKCEiIkYnPkkkcmVzRzYiLUkmdmFsdWVHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2I0kiJUdGJA==Podemos confirmar o resultado da seguinte forma: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Na integral definida, os limites de integra\303\247\303\243o devem ser especificados da seguinte forma: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Podemos ver que o Maple reconhece que h\303\241 uma descontinuidade na fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiYtSSNtaUdGJDYjUSFGJy1GIzYkLUklbXN1cEdGJDYlLUY6NiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNVEnaXRhbGljRictRjE2JFEiMkYnRjQvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjRGOUY0LyUubGluZXRoaWNrbmVzc0dGMy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZULyUpYmV2ZWxsZWRHUSZmYWxzZUYnRjQ= dentro dos limites de integra\303\247\303\243o e calcula corretamente a integral.O m\303\251todo usado para calcular uma integral definida \303\251 exato. Para realizar uma integra\303\247\303\243o num\303\251rica aproximada, usamos a op\303\247\303\243o numeric: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Outra forma \303\251 usar a forma inerte do comando int e depois evalf (veja evalf/int). 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 m\303\272ltiplas podem ser calculadas com um \303\272nico comando int usando a seguinte sintaxe: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Diversos comando para manipula\303\247\303\243o com integrais podem ser encontrados no pacote IntegrationTools:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2Ji1GLDYlUTFJbnRlZ3JhdGlvblRvb2xzRidGL0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjFGMkYyRj1GQEYyPor exemplo, para divider o intervalo de integra\303\247\303\243o: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S\303\251riesO comando para expandir em s\303\251ries \303\251 series. Por 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O primeiro operando deve ser a express\303\243o a ser expandida, o segundo \303\251 a vari\303\241vel, e o terceiro controla a ordem da expans\303\243o:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNigtRiw2JVEnc2VyaWVzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2PlEwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvRjdGSC8lKnVuZGVybGluZUdGSC8lKnN1YnNjcmlwdEdGSC8lLHN1cGVyc2NyaXB0R0ZILyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSdvcGFxdWVHRkgvJStleGVjdXRhYmxlR0ZILyUpcmVhZG9ubHlHRkgvJSljb21wb3NlZEdGSC8lKmNvbnZlcnRlZEdGSC8lK2ltc2VsZWN0ZWRHRkgvJSxwbGFjZWhvbGRlckdGSC8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGSC9GOlEnbm9ybWFsRicvJSZmZW5jZUdGSC8lKnNlcGFyYXRvckdGSC8lKXN0cmV0Y2h5R0ZILyUqc3ltbWV0cmljR0ZILyUobGFyZ2VvcEdGSC8lLm1vdmFibGVsaW1pdHNHRkgvJSdhY2NlbnRHRkgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZicC1JKG1mZW5jZWRHRiQ2JC1GIzYqLUklbXN1cEdGJDYlLUY9Ni1RLyZFeHBvbmVudGlhbEU7RidGYG9GYm9GZG9GZm9GaG9Gam9GXHBGXnBGYHAvRmRwUSwwLjExMTExMTFlbUYnLUYsNiVRInhGJ0Y2RjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUY9Ni1RIixGJ0Zgb0Ziby9GZW9GOEZmb0Zob0Zqb0ZccEZecEZgcC9GZHBRLDAuMzMzMzMzM2VtRidGYnFGaHEtSSNtbkdGJDYkUSMxMEYnRmBvRlBGWEZgb0Zgb0ZQRlhGYG9GK0ZQRlhGYG9GK0ZQRlhGYG8=Se o terceiro argumento estiver ausente, o Maple usa o valor da vari\303\241vel global Order, que por default \303\251 6. O resultado do comando series \303\251 uma estrutura especial que deve ser manipulada pelo pr\303\263prio comando series. Por 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 comando expand nada pode fazer com essas express\303\265es.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A forma correta \303\251 usar o pr\303\263prio comando series.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Note que o term 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foi eliminado. Agora os termos de ordem 6 ou superior n\303\243o ser\303\243o eliminados quando essa express\303\243o for manipulada a menos que voltemos a usar o comando series. A s\303\251rie de Taylor para fun\303\247\303\265es de v\303\241rias vari\303\241veis \303\251 obtida com o comando mtaylor.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Nesse caso o resultado j\303\241 \303\251 do tipo polinomial.S\303\251ries de Fourier e TransformadasA s\303\251rie de Fourier de uma fun\303\247\303\243o 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 \303\251 definida comoLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNiYtRiw2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNj5RMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHUSZmYWxzZUYnL0Y3RkgvJSp1bmRlcmxpbmVHRkgvJSpzdWJzY3JpcHRHRkgvJSxzdXBlcnNjcmlwdEdGSC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZILyUrZXhlY3V0YWJsZUdGSC8lKXJlYWRvbmx5R0ZILyUpY29tcG9zZWRHRkgvJSpjb252ZXJ0ZWRHRkgvJStpbXNlbGVjdGVkR0ZILyUscGxhY2Vob2xkZXJHRkgvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkgvRjpRJ25vcm1hbEYnLyUmZmVuY2VHRkgvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGYnAtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNkY5RmBvRmBvRmBvLUY9Ni1RIj1GJ0Zgb0Zib0Zkb0Zmb0Zob0Zqb0ZccEZecC9GYXBRLDAuMjc3Nzc3OGVtRicvRmRwRmFxLUYjNictSSZtZnJhY0dGJDYoLUYjNiQtSSVtc3ViR0YkNiUtRiw2JVEiYUYnRjZGOS1GIzYkLUkjbW5HRiQ2JFEiMEYnRmBvRmBvLyUvc3Vic2NyaXB0c2hpZnRHRmVyRmBvLUYjNiQtRmNyNiRRIjJGJ0Zgb0Zgby8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYnMvJSliZXZlbGxlZEdGSC1GPTYtUSIrRidGYG9GYm9GZG9GZm9GaG9Gam9GXHBGXnAvRmFwUSwwLjIyMjIyMjJlbUYnL0ZkcEZbdC1GIzYnLUkrbXVuZGVyb3ZlckdGJDYnLUY9Ni9RJiZTdW07RicvRlFRLlsxNDQsMTQ0LDE0NF1GJ0Zgby9JK21zZW1hbnRpY3NHRiRRJmluZXJ0RidGYm9GZG8vRmdvRjhGaG8vRltwRjgvRl1wRjhGXnBGYHAvRmRwUSwwLjE2NjY2NjdlbUYnLUYjNiYtRiw2JVEibkYnRjZGOUZdcS1GY3I2JEZfc0Zgb0Zgby1GLDYlUSgmaW5maW47RidGNkY5Rl5wLyUsYWNjZW50dW5kZXJHRkhGKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EkNS4wRicvJSZkZXB0aEdGYHYvJSpsaW5lYnJlYWtHUSVhdXRvRictRmZwNiQtRiM2KEYrLUYjNictRltyNiVGXXItRiM2JEZhdUZgb0Zmci1GPTYtUTEmSW52aXNpYmxlVGltZXM7RidGYG9GYm9GZG9GZm9GaG9Gam9GXHBGXnBGYHBGY3AtRiM2Ji1GLDYlUSRjb3NGJ0ZJRmBvRjwtRmZwNiQtRiM2JkYrLUYjNiZGYXVGY3dGanBGYG9GK0Zgb0Zgb0Zgb0YrRmBvRmdzLUYjNictRltyNiUtRiw2JVEiYkYnRjZGOUZhd0ZmckZjdy1GIzYmLUYsNiVRJHNpbkYnRklGYG9GPEZbeEZgb0YrRmBvRitGYG9GYG9GYG9GK0Zgb0YrRmBvRitGYG8=onde 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O Maple n\303\243o tem nenhum comando pr\303\251-definido para calcular s\303\251ries de Fourier. Um programa para esse fim, baseado nas f\303\263rmulas acima, \303\251LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZbcC1JI21pR0YkNiVRLkZvdXJpZXJTZXJpZXNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRjY2LVEqJmNvbG9uZXE7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1GNjYvUSVwcm9jRicvJSVib2xkR0YxL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZlbkY7Rj5GQEZCRkRGRkZIRkpGTS1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRJWV4cHJGJ0YvRjItRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSEZKL0ZOUSwwLjMzMzMzMzNlbUYnLUYsNiVRInhGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdGPUY5RjktRiw2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdGTC8lJmRlcHRoR0ZmcC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJ0Y1RjUtRjY2L1EmbG9jYWxGJ0ZYRlpGZm5GO0Y+RkBGQkZERkZGSEZKRk1GNS1GLDYlUSNhMEYnRi9GMkZgb0Y1LUYsNiVRImFGJ0YvRjJGYG9GNS1GLDYlUSJiRidGL0YyRmBvRjUtRiw2JVEibkYnRi9GMkZgb0Y1LUYsNiVRImtGJ0YvRjItRjY2LVEiO0YnRjlGO0Zjb0ZARkJGREZGRkhGSkZURmFwRjVGNS1GLDYlUSdhc3N1bWVGJ0YvRjItRmluNiQtRiM2KUZqcUZgb0Y1LUYsNiVRKGludGVnZXJGJ0YvRjJGaW9GXHBGOUY5RmByRmFwRjVGNUZhcUY1Rk9GNS1GLDYlRjpGL0YyLUZpbjYkLUYjNigtRmluNiQtRiM2Jy1GLDYlUSRpbnRGJ0YvRjItRmluNiQtRiM2MkZdb0Zgb0Y1RmZvRjUtRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZSRlRGNS1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GZXQtRiw2JVEjUGlGJy9GMEY9RjlGNS1GNjYtUSMuLkYnRjlGO0Y+RkBGQkZERkZGSEZkdEZNRjVGZ3RGaW9GXHBGOUY5RmlvRlxwRjlGOS1GNjYtUSIvRidGOUY7Rj4vRkFGMUZCRkRGRkZIL0ZLUSwwLjE2NjY2NjdlbUYnL0ZORmN1Rmd0RmlvRlxwRjlGOUZgckZhcEY1RjVGZHFGNUZPRjVGXXMtRmluNiQtRiM2KC1GaW42JC1GIzYnRmdzLUZpbjYkLUYjNjVGXW8tRjY2LVEnJnNkb3Q7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1GLDYlUSRjb3NGJ0ZqdEY5LUZpbjYkLUYjNihGanFGYXZGZm9GaW9GXHBGOUY5RmBvRjVGZm9GNUZedEY1RmF0Rmd0RjVGW3VGNUZndEZpb0ZccEY5RjlGaW9GXHBGOUY5Rl51Rmd0RmlvRlxwRjlGOUZgckZhcEY1RjVGZ3FGNUZPRjVGXXMtRmluNiQtRiM2KC1GaW42JC1GIzYnRmdzLUZpbjYkLUYjNjVGXW9GYXYtRiw2JVEkc2luRidGanRGOUZndkZgb0Y1RmZvRjVGXnRGNUZhdEZndEY1Rlt1RjVGZ3RGaW9GXHBGOUY5RmlvRlxwRjlGOUZedUZndEZpb0ZccEY5RjlGYHJGYXBGNUY1LUY2Ni9RJ3JldHVybkYnRlhGWkZmbkY7Rj5GQEZCRkRGRkZIRkpGTUY1LUYsNiVRJWV2YWxGJ0YvRjItRmluNiQtRiM2Jy1GLDYlUSVzdWJzRidGL0YyLUZpbjYkLUYjNjFGanFGNUZedEY1Rl1yRmBvRjVGNS1JJm1mcmFjR0YkNihGYXEtRiM2JS1JI21uR0YkNiRRIjJGJ0Y5Ri9GMi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaXkvJSliZXZlbGxlZEdGPS1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIRmR0RmZ0LUYsNiVRJFN1bUYnRi9GMi1GaW42JC1GIzY5RmRxRmF2RmR2LUZpbjYkLUYjNihGXXJGYXZGZm9GaW9GXHBGOUY5Rl56RmdxRmF2Rmd3Rmh6RmBvRjVGXXJGNUZedEY1LUZheTYkRmZ5RjlGNUZbdUY1LUYsNiVRKWluZmluaXR5RidGL0YyRmlvRlxwRjlGOUZpb0ZccEY5RjlGaW9GXHBGOUY5RmByRmFwRjUtRjY2L1EkZW5kRidGWEZaRmZuRjtGPkZARkJGREZGRkhGSkZNRjVGVS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRlJGVEZpb0ZccEY5Os comandos proc, local e return s\303\243o comandos especiais para procedimentos. O comando proc come\303\247a um bloco que se fecha no comando end proc. O comando local define vari\303\241veis locais ao procedimento de forma a n\303\243o interferir com as vari\303\241veis de mesmo nome utilizadas pelo usu\303\241rio. Finalmente, o comando return retorna o valor do procedimento. Vejamos um exemplo.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEkcmVzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEuRm91cmllclNlcmllc0YnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYmLUklbXN1cEdGJDYlLUYsNiVRInhGJ0YvRjItRiM2JS1JI21uR0YkNiRRIjJGJ0Y5Ri9GMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTlEsMC4zMzMzMzMzZW1GJ0ZaRjlGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y9Rjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYtLUYsNiVRJXN1YnNGJ0YvRjItRjY2JC1GIzYrLUYsNiVRKWluZmluaXR5RidGL0YyLUkjbW9HRiQ2LVEiPUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGTC8lKXN0cmV0Y2h5R0ZMLyUqc3ltbWV0cmljR0ZMLyUobGFyZ2VvcEdGTC8lLm1vdmFibGVsaW1pdHNHRkwvJSdhY2NlbnRHRkwvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zlbi1JI21uR0YkNiRRJjEwMDAwRidGSC1GRTYtUSIsRidGSEZKL0ZORjFGT0ZRRlNGVUZXL0ZaUSYwLjBlbUYnL0ZnblEsMC4zMzMzMzMzZW1GJy1GRTYtUSJ+RidGSEZKRk1GT0ZRRlNGVUZXRmBvL0ZnbkZhby1GLDYlUSRyZXNGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdGTEZIRkhGXG8tRiw2JVEieEYnRi9GMkZELUZpbjYkUSIwRidGSC1GRTYtUSMuLkYnRkhGSkZNRk9GUUZTRlVGVy9GWlEsMC4yMjIyMjIyZW1GJ0Znby1GLDYlUSNQaUYnL0YwRkxGSEZbcEZecEZIRkhGW3BGXnBGSA==As transformadas de fun\303\247\303\265es s\303\243o calculada ap\303\263s carregar o pacote inttrans (integral transforms).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 exemplo, a transformada de Laplace de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNiYtRiw2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNj5RMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHUSZmYWxzZUYnL0Y3RkgvJSp1bmRlcmxpbmVHRkgvJSpzdWJzY3JpcHRHRkgvJSxzdXBlcnNjcmlwdEdGSC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZILyUrZXhlY3V0YWJsZUdGSC8lKXJlYWRvbmx5R0ZILyUpY29tcG9zZWRHRkgvJSpjb252ZXJ0ZWRHRkgvJStpbXNlbGVjdGVkR0ZILyUscGxhY2Vob2xkZXJHRkgvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkgvRjpRJ25vcm1hbEYnLyUmZmVuY2VHRkgvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGYnAtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ0RidGNkY5RmBvRmBvRmBvLUY9Ni1RIj1GJ0Zgb0Zib0Zkb0Zmb0Zob0Zqb0ZccEZecC9GYXBRLDAuMjc3Nzc3OGVtRicvRmRwRmFxLUYjNiYtRiw2JVEkc2luRidGSUZgb0Y8LUZmcDYkLUYjNiZGKy1GIzYmLUYsNiVRImtGJ0Y2RjktRj02LVExJkludmlzaWJsZVRpbWVzO0YnRmBvRmJvRmRvRmZvRmhvRmpvRlxwRl5wRmBwRmNwRmpwRmBvRitGYG9GYG9GYG9GK0Zgb0YrRmBv \303\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 a transformada inversa \303\251LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNigtRiw2JVEpc2ltcGxpZnlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDY+UTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUlc2l6ZUdRIzEyRicvJSVib2xkR1EmZmFsc2VGJy9GN0ZILyUqdW5kZXJsaW5lR0ZILyUqc3Vic2NyaXB0R0ZILyUsc3VwZXJzY3JpcHRHRkgvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGSC8lK2V4ZWN1dGFibGVHRkgvJSlyZWFkb25seUdGSC8lKWNvbXBvc2VkR0ZILyUqY29udmVydGVkR0ZILyUraW1zZWxlY3RlZEdGSC8lLHBsYWNlaG9sZGVyR0ZILyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZIL0Y6USdub3JtYWxGJy8lJmZlbmNlR0ZILyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmJwLUkobWZlbmNlZEdGJDYkLUYjNihGKy1GIzYoLUYsNiVRK2ludmxhcGxhY2VGJ0Y2RjlGPC1GZnA2JC1GIzYqLUYsNiVRIiVGJ0Y2RjktRj02LVEiLEYnRmBvRmJvL0Zlb0Y4RmZvRmhvRmpvRlxwRl5wRmBwL0ZkcFEsMC4zMzMzMzMzZW1GJy1GLDYlUSJzRidGNkY5RmZxLUYsNiVRInRGJ0Y2RjlGUEZYRmBvRmBvRlBGWEZgb0YrRlBGWEZgb0Zgb0ZQRlhGYG9GK0ZQRlhGYG9GK0ZQRlhGYG8=JSFHExerc\303\255cios1. Defina a fun\303\247\303\243o 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 e seja 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. Defina a reta tangente a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA= que passa pelo ponto 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. Fa\303\247a o gr\303\241fico simult\303\242neo de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA= e da reta tangente no intervalo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYnLUYjNictSSNtbkdGJDYlUSIxRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JVEiM0YnRjRGN0Y0RjdGNEY3LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRjRGNw== onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA= tem cor vermelha e a reta tem cor azul. [Sugest\303\243o: o coeficiente angular da reta pode ser obtido atrav\303\251s da derivada de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=.]2. Defina a fun\303\247\303\243o 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 e encontre os pontos cr\303\255ticos e seus respectivos valores. Fa\303\247a o gr\303\241fico no intervalo 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 e verifique o resultado.3. Ache os pontos de inflex\303\243o da fun\303\247\303\243o 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. Fa\303\247a o gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA= no dom\303\255nio 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 junto com as retas que passam pelos pontos de inflex\303\243o, exibindo o eixo vertical limitado pelo intervalo 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.4. Defina uma fun\303\247\303\243o f de duas vari\303\241veis \303\255mpares a,b que retorna um n\303\272mero aleat\303\263rio \303\255mpar entre a e b inclusive. [sugest\303\243o: use os comandos floor e rand]5. Defina uma fun\303\247\303\243o ndiff que tem tr\303\252s vari\303\241veis: a primeira \303\251 uma express\303\243o alg\303\251brica expr, a segunda \303\251 s\303\255mbolo x e a terceira \303\251 um n\303\272mero inteiro positivo n. A fun\303\247\303\243o ndiff(expr, x, n) calcula a n-\303\251sima derivada de expr em rela\303\247\303\243o a x. Por exemplo, 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 deve resultar em 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.6. a) Suponha que o pre\303\247o de uma a\303\247\303\243o seja dada por 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, para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEiPEYnRi9GMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkktSSNtaUdGJDYmUSJ0RicvJSdpdGFsaWNHUSV0cnVlRidGLy9GM1EnaXRhbGljRidGNS1GLDYlUSIyRidGL0YyRi9GMg== onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 o instante de tempo em horas a partir da abertura da bolsa. Qual \303\251 a melhor hora de comprar estas a\303\247\303\265es e qual \303\251 a melhor hora de vender?
b) Suponha que o pre\303\247o de uma a\303\247\303\243o seja dada por 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, para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEiPEYnRi9GMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkktSSNtaUdGJDYmUSJ0RicvJSdpdGFsaWNHUSV0cnVlRidGLy9GM1EnaXRhbGljRidGNS1GLDYlUSQzLjVGJ0YvRjJGL0Yy onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 o instante de tempo em horas a partir da abertura da bolsa. Qual \303\251 a melhor hora de comprar estas a\303\247\303\265es e qual \303\251 a melhor hora de vender?Solu\303\247\303\265es1.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY0LUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSomY29sb25lcTtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5GU0Y1LUYsNiVRInhGJ0YvRjJGNUY1LUY2Ni1RKCZzcmFycjtGJ0Y5RjtGPkZARkJGREZGRkhGSkZNRjVGNS1JJW1zdXBHRiQ2JUZVLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUY2Ni1RKCZtaW51cztGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GZW9GVS1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIRmRvRmZvLUZbbzYkUSIxRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y9Rjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjeDBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjJGJ0Y5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRj1GOQ==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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=2. 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JSFH4.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.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=