Autor: Rochedão | Publicado: 2013-09-03T20:30:00-07:00





3os&nbsp; Anos 


Lista:&nbsp;7 de setembro vamos às ruas, o
Brasil é do povo. Entrega: 11/09


1-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Passe para a forma algébrica
os seguintes números


a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 4/3i&nbsp;&nbsp;&nbsp; b) 6/2+2i&nbsp;&nbsp;&nbsp;
c) 3+6i/6-2i&nbsp;&nbsp; d) i13/
4 – 3i


e)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 11 + 2i /11 – i&nbsp;&nbsp;&nbsp; b) 2 + 2i / (1 – i) c) 2- 6i/3 + i


3-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Determine o conjugado de 3-i/2i


4-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Calcule o conjugado do
inverso do número complexo (1-i/1+i)2


5-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;Resolva:


a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 6/4 +2i&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; b) i13 + 2. I4/i19
– i38


6-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;Dados:


&nbsp;&nbsp;z = 3 +2i,&nbsp;&nbsp;
z 1 = 5i&nbsp; e z2 =
-2 –2 i faça:


a ) z + z1 + z2&nbsp;&nbsp;&nbsp; b) ( z+ z1) / z2&nbsp;&nbsp; 


7-&nbsp;Qual o resultado da multiplicação do número
resultante do item a vezes o número resultante do &nbsp;item b?&nbsp;



8- Qual o valor da divisão do número do item a pelo item b
do exercício 6?


9- Qual o valor resultante do número do exercício 7 menos o
número do exercício 8?


10- qual o resultado da soma dos números dos exercícios 6, 7
, 8 e 9?


11- Resolva:&nbsp; i13
– i22 + i7 – i5/ i6 – i3
+ i3


12- O resultado de z = 5 – 3i multiplicado pelo conjugado e
dividido por &nbsp;z é igual a:


13- z = 6 – i e z* = -3 – 3i então, (3.z) – (-2.z*)
é igual a:


&nbsp;&nbsp;&nbsp;&nbsp; 14- Qual o
conjugado do número resultante do exercício acima?


&nbsp;&nbsp;&nbsp;&nbsp; 15- Qual o
conjugado do número resultante do exercício 12?


&nbsp;&nbsp;&nbsp;&nbsp; 16- A soma dos
números dos exercícios 14 e 15 é igual a:


&nbsp;&nbsp;&nbsp;&nbsp; 17- O número
complexo, resultado da multiplicação de&nbsp;
(-2) pelo conjugado do número 6+8i/ 3 – 2i é:


&nbsp;&nbsp;&nbsp; 18- Sejam os
números complexos u = 1 + i e v = 1 – i. Calcule (3. <!--[if gte msEquation 12]><m:chr
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&nbsp;


&nbsp;&nbsp;&nbsp; 19- Faça a
operação sugerida abaixo:


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<![endif]--><!--[if !vml]--><!--[endif]--><!--[endif]-->&nbsp;+ 2 + <!--[if gte msEquation 12]><span
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&nbsp; 20) Dados z = 4 – 2i
e z* = 2-6i determine:


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; a) módulo de
z&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; b) módulo de z*&nbsp;&nbsp;&nbsp; c) módulo de z : z*&nbsp;&nbsp; d) módulo de z-z*&nbsp;


&nbsp;21) Dado o numero z= 9i, represente-o na forma
trigonométrica

&nbsp;22) Passe para a forma algébrica o número complexo z= 4(cos 30
+&nbsp;i&nbsp;sem 30).

&nbsp;23) Seja o número complexo z= <!--[if gte msEquation 12]><span
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<![endif]--><!--[if !vml]--><!--[endif]--><!--[endif]-->&nbsp;+ <!--[if gte msEquation 12]><span
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<![endif]--><!--[if !vml]--><!--[endif]--><!--[endif]-->&nbsp;i. Escreva-o na forma trigonométrica.

&nbsp;24) Escreva o conjugado de z acima.


25) Dados z = 4(cos <!--[if gte msEquation 12]><span
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<![endif]--><!--[if !vml]--><!--[endif]--><!--[endif]-->&nbsp;&nbsp;+ i sen <!--[if gte msEquation 12]><span
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<![endif]--><!--[if !vml]--><!--[endif]--><!--[endif]-->&nbsp;) passe para a forma algébrica.


26) Qual o resultado de z2 (z do exercício acima)