Math 1100
Exam 3
Name:
4 December, 2013
UID:
Instructions:
• Answer each question in the space provided.
• No calculators are allowed.
• Show all appropriate work. Answers not supported by appropriate work
will not receive credit; partial credit will be given for progress towards a
solution.
Question
Points
1
0
2
0
3
0
4
0
5
0
6
0
7
0
8
0
9
0
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11
0
Total:
0
Score
4 December, 2013
Exam 3, Page 3 of 9
Math 1100
4. Evaluate each indefinite integral. Remember the constant of integration!
(a)
f
2
2x(x
+
4)1
dx
(L
X IX
2
S
-)
1
(K
&x
(2
I
(b)
dx
I 2x
—3
4
J
-
\
lx’3J
Math 1100
Exam 3, Page 5 of 9
6. Evaluate the integral if it converges.
100
I
1
J
ja
f
ix
j
zL
0—-i
-i
—dx
3
x
4 December, 2013
Math 1100
Exam 3, Page 7 of 9
8. Find the general solution to the
following
4 December. 2013
differential ecluation.
dy
d
=
1
Jg
ydy
J;cx
Li
1(JX)
-
h,
9. Find the solution to the following differential equation that passes through the point
(32).
dy
+3
2
x
dx 3
2
y
3
y
tcly
X’L4
ci x
)(3 x
-s -:x 3
4-X
y
(&)
-t-(
Exam 3, Page 9 of 9
Math 1100
4 December, 2013
11. (5 bomis points) Use integration to find the area of a triangle shown below. Its vertices
are at (-1,-3), (4,2), and (3,5).
Note: Partial credit may be given for szgnificant progress towards a solution. You must
use integration or you will not receive credit.
y
C-
Iit A:
LI
Z(x-)
Af (z) -(x-?) SK
:J
3
-i
L
xxJ
c?x
3
)f;: 2(3)+
i+
X]
1xj
ylx1
g:
)-(-i)J
‘5-
7.3
1()
y-2
0
C:
h’.
S-Z
-
y_s
y
i.:.
?(f9S
lLj
4
-3
3
-3
L--3ô
-
J (-1A-2)
÷z)