# TD_4 - a) | z-1 | = | 2 z-1 | . b) Im ( z 2 ) = 4 . b) z z...

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TRAVAIL DIRIG ´ E 4 Mohammed Saddoune AUTOMNE 2009 Question 1 : Calculer a) i 2007 b) (1 + i ) 20 c) Im (1 + 2 i ) 2 (1 - i ) ! d) Trouver les valeurs de a et b telles que 1+ i (2+ i )( ai + b ) = 1. Question 2 : Trouver toutes les racines de z 3 = 1 + i Question 3 : ecrire et r´ epr´ esenter graphiquement les courbes d´ eﬁnies par les ´ equations suivantes :

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Unformatted text preview: a) | z-1 | = | 2 z-1 | . b) Im ( z 2 ) = 4 . b) z z = 36 1 Question 4 : Trouver toutes les valeurs de z telles que z ( z-2) = 3. Question 5 : Trouver la somme des deux s eries: a) + n =1 1 n 2 + n . b) + n =0 2 n +2 e-n . 2...
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## This note was uploaded on 11/07/2010 for the course CIV 3930 taught by Professor Montes during the Spring '10 term at École Polytechnique de Montréal.

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TD_4 - a) | z-1 | = | 2 z-1 | . b) Im ( z 2 ) = 4 . b) z z...

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