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Midterm B Oct. 18/2000
cfw_Toma: 20] Complex Numbers:
a) In the expression cfw_4 3i)2 =1 solve for z and express 4: in the form
a -: ib where r]. and b are real.
(-nai
(q+3i)(l~3i3l= iCKr'iL *- - 3+ Sfc'
RSE=.~3+;
C.
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Midterm A Oct. 18/2000
[2H] [Total: 20] Complex Numbers:
9.) [7] Suppose that k1i+ k2 + i) = 3 21'. Find It; and kg.
3&3 1g = -2
hits
b) [7: Express the complex number cfw_$33003 in the form a e 46 where u and
arereal. - .
!" = .1 : -t
i *1 t
_1003
Examinations December 1995 MATHEMATICS 133 [FO l] 3.: [F02] Page 1.
[9] Question 1.
2 + 31'
W
(a) If z = 1 + 21' nd in a + 1b form.
(b) Write 1 i in polar form.
(c) Use DeMoivree Theorem to nd (1 i)5 and then write it in a + 2?) form.
[10] Question 2.
F