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7.2 Homework Problems: Introduction to Complex Numbers and Addition

1. Simplify the following using complex numbers

a.  [latex]{i}^{33}[/latex]

b.  [latex]{i}^2[/latex]

c.  [latex]{i}^{100}[/latex]

d.  [latex]{i}^{39}[/latex]

 

2. Express the following as complex numbers

a.  [latex]\sqrt{-25}[/latex]

b.  [latex]-\sqrt{-16}[/latex]

c.  [latex]8\ +\ \sqrt{-16}[/latex]

d.  [latex]-\sqrt{-4x^2}[/latex]

e.  [latex]-25[/latex]

f.  [latex]12\ \ +\ \sqrt{-81x^6}[/latex]

 

3. Plot the following rectangular coordinates on the graph

a.   (-4 + 7i)

b.   (-5 – 8i)

c.  (-7 + j5)

d.  (-4 + 7i)

e.  (8 + j3)

 

4. Perform the requested operation and simplify as much as possible

a.  (2.0 + 5.0i) + (5.0 – 3.0i)

b.  (-4 + 7i) + (8 + 6i)

c. (9 – 9i) – (0 + 10i)

d.  (0.52 + j1.85) – ( 2.14 – j0.91)

e.  (5.0) + (1.5 – j2.4)

Unit 7.2 Printable Copy

 

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