Grade 60.
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Question 1
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Roots of Complex Numbers
General Powers
(1+i)(2−i)(1+i)(2−i)
Select one:
a.
1.49+4.12i
b.
-1.49-4.12i
c.
-1.49+4.12i
d.
1.49-4.12i
Question 2
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Evaluate the following.
cosh-1 (1+5i)
Select one:
a.
-2.33+1.38i
b.
-2.33-1.38i
c.
2.33+1.38i
d.
2.33-1.38i
Question 3
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(2+3i)−−−−−−√5(2+3i)5
Select one:
a.
1.27+0.25i;0.15+1.28i;-1.17+0.54i; -0.88-0.95i;0.63-1.13i
b.
-1.27+0.25i;0.15+1.28i;-1.17+0.54i; 0.88-0.95i;0.63-1.13i
c.
-1.27+0.25i;0.15+1.28i;1.17+0.54i; 0.88-0.95i;0.63-1.13i
d.
1.27+0.25i;0.15+1.28i;1.17+0.54i; -0.88-0.95i;0.63-1.13i
Question 4
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Roots of Complex Numbers
General Powers
(103e1.222i)2(103e1.222i)2
Select one:
a.
-76.6+64.28i
b.
76.6-64.28i
c.
76.6+64.28i
d.
-76.6-64.28i
Question 5
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Evaluate the following:
sin-1 (-4+i)
Select one:
a.
-iln(0.03-0.12i)
b.
-iln(-0.03+0.12i)
c.
-iln(0.03+0.12i)
d.
-iln(-0.03-0.12i)
Question 6
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Roots of Complex Numbers
General Powers
2(cosπ3+isinπ3)62(cosπ3+isinπ3)6
Select one:
a.
59
b.
64
c.
69
d.
54
Question 7
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Evaluate the following.
sin(-4+i)
Select one:
a.
1.17-0.77i
b.
-1.17+0.77i
c.
-1.17-0.77i
d.
1.17+0.77i
Question 8
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Evaluate the following:
cosh-1 (-4+i)
Select one:
a.
2.1-2.89i
b.
2.1+2.89i
c.
-2.1-2.89i
d.
-2.1+2.89i
Question 9
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Evaluate the following:
sin-1 (-4+i)
Select one:
a.
-4.96-2.12i
b.
-4.96+2.12i
c.
4.96+2.12i
d.
4.96-2.12i
Question 10
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ln(−−12−3–√2i)ln(−−12−32i)
Select one:
a.
-3.19i
b.
4.19i
c.
-4.19i
d.
-4.19i