MATH_205_FALL_2016
.pdf
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School
Concordia University *
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Course
205
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
2
Uploaded by CoachThunder13386
Gaelle Kouyoumdjian
BB
WeBWorK assignment due : 10/25/2016 at 11:59pm EDT.
1.
(1 point)
Which of the following is the correct form of the partial frac-
tion decomposition of
x
-
1
x
3
+
x
2
?
•
A.
A
x
+
B
x
2
+
C
x
+
1
•
B.
Ax
+
B
x
+
Cx
+
D
x
2
+
Ex
+
F
x
+
1
•
C.
Ax
+
B
x
+
Cx
+
D
x
2
+
Ex
+
F
x
+
1
•
D.
Ax
+
B
x
+
Cx
+
D
x
2
+
E
x
+
1
Answer(s) submitted:
•
A
(correct)
2.
(1 point)
Which of the following is the correct form of the partial frac-
tion decomposition of
1
x
6
-
x
3
?
•
A.
A
x
3
+
B
x
-
1
+
Cx
+
D
x
2
+
x
+
1
•
B.
A
x
+
B
x
2
+
C
x
3
+
D
x
-
1
+
Ex
+
F
x
2
+
x
+
1
•
C.
A
x
+
B
x
2
+
C
x
3
+
D
x
-
1
+
E
x
2
+
x
+
1
•
D.
A
x
+
B
x
2
+
C
x
3
+
Dx
+
E
x
3
-
1
Answer(s) submitted:
•
B
(correct)
3.
(1 point)
Evaluate the integral
Z
-
6
(
x
-
9
)
(
x
+
5
)(
x
-
2
)
dx
Note: Use an upper-case ”C” for the constant of integration.
Answer(s) submitted:
•
-6(2ln|x+5|-ln|x-2|)+C
(correct)
4.
(1 point)
Evaluate the integral
Z
3
2
-
10
x
2
-
1
dx
Answer(s) submitted:
•
-5ln(3/2)
(correct)
5.
(1 point)
Evaluate the integral
Z
1
0
1
x
3
-
4
x
-
10
x
2
-
x
-
6
dx
Answer(s) submitted:
•
(3/2)+ln(3/2)
(correct)
6.
(1 point)
Make a substitution to express the integrand as a rational
function and then evaluate the integral
Z
8
e
2
x
e
2
x
+
3
e
x
+
2
dx
Note: Use an upper-case ”C” for the constant of integration.
Answer(s) submitted:
•
4(6arctan(sqrt(4(3eˆx+eˆ(2x)+2)+1))+ln|2+3eˆx+eˆ(2x)|)+C
(incorrect)
7.
(1 point)
Find the average value of the function
f
(
t
) =
4
te
-
t
2
on the
interval [0, 5].
f
ave
=
Answer(s) submitted:
•
(incorrect)
8.
(1 point)
Find the average value of the function
h
(
r
) =
-
18
/
(
1
+
r
)
2
on the interval [1, 6].
h
ave
=
Answer(s) submitted:
•
(incorrect)
9.
(1 point) A car drives down a road in such a way that its
velocity ( in m/s) at time t (seconds) is
v
(
t
) =
3
t
1
/
2
+
5
.
Find the car’s average velocity (in m/s) between
t
=
3 and
t
=
5.
Answer(s) submitted:
•
(incorrect)
1
10.
(1 point) In a certain city the temperature (in degrees
Fahrenheit) t hours after 9am was approximated by the function
T
(
t
) =
60
+
10sin
π
t
12
Determine the temperature at 9 am.
Determine the temperature at 3 pm.
Find the average temperature during the period from 9 am to
9 pm.
Answer(s) submitted:
•
•
•
(incorrect)
Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America
2
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