Variable Compleja

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Universidad Abierta y a Distancia de México

Ingeniería en Biotecnología

Variable Compleja

Evelin Lucio Meneses

María Angélica Fuentes Rodríguez

ES1611314069

Actividad 2.

Fecha de entrega: 22 de abril de 2018

Resuelve los siguientes ejercicios.

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Resolvemos :[pic 13]

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Resolvemos :[pic 18]

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Unimos los resultados obtenidos:

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Aplicamos: [pic 21]

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Aplicamos:[pic 26]

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Factorizamos  [pic 29]

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Factorizamos [pic 31]

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Reescribimos:

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Expresa en forma binómica, polar y trigonométrica los siguientes números complejos. Grafica tu resultado polar.

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Aplicamos fórmula para obtener la Forma Binómica:

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Aplicamos fórmula para obtener Forma Polar:[pic 47]

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La ecuación se encuentra escrita en Forma Trigonométrica.

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Para poder aplicar la fórmula  vamos a utilizar el binomio de Newton ya que la ecuación esta elevada a la 7 potencia.[pic 65]

Tenemos que el binomio de Newton expresa la siguiente fórmula:

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Reescribimos con los valores que ya conocemos:

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Sustituimos:

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El procedimiento se describira termino por termino hasta obtener resultados que se puedan sumar y restar.

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Factorizamos:

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Sumamos y restamos los resultados que nos arrojó cada término.  

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