Trabalho de Matemática 3º série - E.M (Virgilio)
Autor: Profº Eder | Publicado: 2011-11-10T09:04:00-08:00

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1- Calcule as potênciasa)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; i8b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; i25c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; i243d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; i12342- Sendo i a unidade imaginária, calcule o valor de i10 + i-100
3- Se os números complexos z1= 2 – i e z2= x + 1, x real e positivo, são tais que │z1 . z2│2 = 10, então x é igual a?
4- Dados os números complexos z1= 1 + 2 i, z2= -1 + 3i e z3 = 2 – 2i, calcule:a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (z1 + z2) . z3b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; z1/ z3c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; z1.z2/z3d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (z2 – z3)/z1
5- Escreva os seguintes números complexos na forma trigonométrica.
a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1 + ib)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -2 – 2ic)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2 - 2√3 id)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (-3 + √3 i) / 2
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   UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
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   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
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   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 6"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 6"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>   <w:LsdException Locked="false" Priority="19" SemiHidden="false"
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   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>   <w:LsdException Locked="false" Priority="33" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>         <![endif]--><!--[if gte mso 10]> 
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 <![endif]-->  6- Se z = 1 + √3i, z.ū = 1 e 0≤ ϴ&lt; 2∏ , argumento de z.w, então o valor de ϴ é?