Appendix A: Complex Numbers
1.
2.
3.
4. Write z = a + bi and 
.
.
a.im (iz) = im (− b + ai) = a = re z.
c.
.
.
e.
5. a. unit circle (c) line y = x (e) 0 and the positive real axis
7. 
9. a. If z = a + bi and 
, then 
, so 
, then , so
Take positive square roots.
10.
11.
12.
13. a. ...
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