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(c)             , find

         (d)

     Given that
19.

         (a)

         (b)

         (c)

         (d)

20.                                                                                   are 1, −1, i, and .
         (a) Show that if n is a positive integer, then the only possible values for

(b) Find                 .

     Hint See Exercise 23(b) of Section 10.1.

     Prove:
21.

         (a)

(b)

     Prove:        if and only if z is a real number.
22.

          Given that             and                   , find
23.

              (a)        , then z is either real or pure imaginary.
     Prove: If
24.

          Pro(vbe) that  .
25.
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