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Complexos I

Authored by Ana Alegre

Mathematics

12th Grade

Used 6+ times

Complexos I
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7 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 Qual dos valores indicados na~o eˊ argumento de 13iQual\ dos\ valores\ indicados\ não\ é\ \arg umento\ de\ 1-\sqrt{3}i  

 8π3\frac{8\pi}{3}  

 π3-\frac{\pi}{3}  

 5π3\frac{5\pi}{3}  

 7π3-\frac{7\pi}{3}  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 Na forma trigonométrica, o complexo
 2(sen(θ)icos(θ))2\left(sen\left(\theta\right)-i\cos\left(\theta\right)\right)  
é



 ei(θπ2)e^{i\left(\theta-\frac{\pi}{2}\right)}  

 ei(θ+π2)e^{i\left(\theta+\frac{\pi}{2}\right)}  

 2ei(θ+π2)2e^{i\left(-\theta+\frac{\pi}{2}\right)}  

 2ei(θπ2)2e^{i\left(\theta-\frac{\pi}{2}\right)}  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Os complexos, não nulos, com afixo na bissetriz do 3º quadrante têm argumento principal igual a que valor?

5π4\frac{5\pi}{4}

3π4\frac{3\pi}{4}

3π4-\frac{3\pi}{4}

π4-\frac{\pi}{4}

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Qual é o valor de

 arg(618i)\arg\left(-\sqrt{6}-\sqrt{18}i\right)  ?

 4π3\frac{4\pi}{3}  

 2π3\frac{2\pi}{3}  

 5π6-\frac{5\pi}{6}  

 2π3-\frac{2\pi}{3}  

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

O afixo do número complexo

 ei(104π3)e^{i\left(\frac{104\pi}{3}\right)}  está em que quadrante?

1ºQ

2ºQ

3ºQ

4ºQ

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Sendo

 z1=2ei (6π5)   e   z2=1+3iz_1=2e^{i\ \left(\frac{6\pi}{5}\right)}\ \ \ e\ \ \ z_2=-1+\sqrt{3}i 

qual o valor de

 arg(z1×z2i)\arg\left(\frac{z_1\times z_2}{i}\right)  

 11π30\frac{11\pi}{30}  

 11π30-\frac{11\pi}{30}  

 19π30-\frac{19\pi}{30}  

 19π30\frac{19\pi}{30}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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