Solutions to Problem Set 1

1. page 5 #14

 

2. page 5 #16

 

 

3. page 23 #10 b)

 

4. page 23 # 12

  

5.  page 31 #8 a)

  

 

6. page 31 #8 b)

 

7. page 31 #10

   since  for all y. If then .

 

8. page 37 # 10

    . Thus one fourth root of -1 is . The other fourth roots differ in angle by a multiple of .

Thus the roots are

 

 while

.