IB HL Math Quiz: Complex Numbers - UCF Computer Science



IB HL Math Quiz: Complex Numbers Solutions

Date: 9/7/07

Directions: Please show all of your work and answers on a separate piece of paper

Perform the following computations and answer each in the form a+bi.

1) [pic]

2) [pic]

3) [pic]

4) [pic]

Convert the following complex numbers into rcisθ form.

5) [pic] 6) [pic]

7) [pic] 8) [pic]

9) [pic] 10) [pic]

Calculate each of the following values, answering in the form a+bi. (Hint: Use DeMoivre's Theorem for exponentiating complex numbers in the form rcisθ.)

11) [pic]

12) [pic]

13) [pic]

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