College of Professional Studies
MTH2105 Calculus 2 Final Exam
Graphics Calculator Allowed Spring 2017 Prof. Dan Pratt
Partial credit will be given for using the correct methods. Work must be shown in complete detail to receive full credit.
1. Determine the convergence or divergence of the following infinite series and give a reason for your answer.
A) B) C)
2. Determine whether the following infinite series converges using the ratio test:
3. Find the interval of convergence of the power series
4. Write the first 5 terms of the MacLaurin Series for the function
5. Solve the separable DE subject to the initial condition
6. Solve the first order linear DE subject to the condition
1
3
!
n
n
n
n
¥
=
å
(
)
x
n
n
2
0
=
¥
å
f
x
xe
x
(
)
=
2
yy
e
x
'
-
=
2
0
y
(
)
0
3
=
y
xy
x
'
+
=
2
10
y
(
)
0
8
=
2
3
1
n
n
-
¥
å
6
1
3
0
(
)
n
n
-
¥
å
n
n
n
+
-
-
¥
å
2
2
3
1
rmrjsed3p2
final_2105.docx
0
