Math 1060-2
Babenko V.
April 14, 2015
Test 3
Name:______________________
UID#:__________________________
This is a closed book Test. No books, laptops, or messaging are permitted. NO calculators
are allowed. You have 12 problems, they are equal in weight. The entire exam is worth 12
points. For full credits show all work! Box your answer so it is easy to locate. You have 50
minutes.
GOOD LUCK!!!
1
1. Use the Law’ of Sines to solve the triangle
A
isoG_
c
=
16°, .8
A-F=
98°, c
1?/-
8.4.
!_
.s
_
—--
1-..
-
.4
-
2. Find the area of the triangle having the indicated angle and sides
B
80°, a
47
c = 8.
-
)
..
:1
I
N
N
ci
1
0
cj
cs•\
Il
II
0
I
1)
1\
ci
0
+
0
4. Use Heron’s Area Formula to find the area of the triangle
a —4, b —5, c7.
(g
-
y_)(
.2q. I
V
\J
N
A
N
\J
\J
A
+
(J
+
cI
cr
±
‘— —
I
-
+
Z
n
[o
4
fl%
— —
‘S
4p
(I
\J
it
1-i
I
F
7. Find the dot product of u and v
‘U
3i + 7f.
v=lli—5j
3.
=
u
1
JIL
II
H
II
II
-
II
CD
CD
CD
CD
9. Plot the complex number and find its absolute value
—1O—4i.
A
_Lj
-
ioi
1— ‘o,-’)
(-ioq
I
10. Use DeMoivre’s Theorem to find the indicated power of the complex number
[5 (cos +isin)]
.
4
-
5
C
2
-
\“
3
)
and z
2
=2S
2S
11. Find the product z
2 of z
1
1
=
3 (cos
+ i sin
=
2 (cos
f + i sin
-
(c
4
-
3
‘I
(I
It
,
11
Li
,o
a
1
I
_
,1
cu
I.
I
I’
.•
:•
0
-:‘
:
::‘
J
C
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