Additional Problems
The following problems were taken from Calculus: Early Vectors, by J. Stewart, which is
being used by the other sections of M151.
1. A ladder 10 ft long rests against a vertical wa
M151B Practice Problems for Final Exam
Calculators will not be allowed on the exam. Unjustied answers will not receive credit. On
the exam you will be given the following identities:
n
n(n + 1)
;
k=
2
M151B Practice Problems for Exam 3
Calculators will not be allowed on the exam. On the exam you will be given the following
identities:
n
n(n + 1)
;
k=
2
k =1
n
n(n + 1)(2n + 1)
k=
;
6
k =1
n
2
k3 =
k
M151B, Fall 2008, Practice Problems for Exam 2
Calculators will not be allowed on the exam.
1. Let
f (x) = cos x sin x,
and compute
3
x
,
4
4
df 1
(1).
dx
2. Show that
1
d
cos1 x =
,
dx
1 x2
1 < x <
M151B Practice Problems for Exam 1
Calculators will not be allowed on the exam. Unjustied answers will not receive credit.
1. Compute each of the following limits:
1a.
x2 4
.
x 2 x 2
lim
1b.
lim
x 3
x
Additional problems, due Tuesday Nov. 18
1. Use the method of Riemann sums to compute
2
x2 dx.
1
2. Use the method of Riemann sums to compute
1
x3 dx.
0
3. Use the method of Riemann sums to compute
1
M151B Practice Problems for Final Exam
Calculators will not be allowed on the exam. Unjustied answers will not receive credit. On
the exam you will be given the following identities:
n
n(n + 1)
;
k=
2
M151B Practice Problems for Exam 3
Calculators will not be allowed on the exam. On the exam you will be given the following
identities:
n
n(n + 1)
;
k=
2
k =1
n
n(n + 1)(2n + 1)
k=
;
6
k =1
n
2
k3 =
k
M151B, Fall 2008, Practice Problems for Exam 2
Calculators will not be allowed on the exam.
1. Let
f (x) = cos x sin x,
and compute
3
x
,
4
4
df 1
(1).
dx
2. Show that
1
d
cos1 x =
,
dx
1 x2
1 < x <
M151B Practice Problems for Exam 1
Calculators will not be allowed on the exam. Unjustied answers will not receive credit.
1. Compute each of the following limits:
1a.
x2 4
.
x 2 x 2
lim
1b.
lim
x 3
x
Additional problems, due Tuesday Nov. 18
1. Use the method of Riemann sums to compute
2
x2 dx.
1
2. Use the method of Riemann sums to compute
1
x3 dx.
0
3. Use the method of Riemann sums to compute
1
Additional Problems
The following problems were taken from Calculus: Early Vectors, by J. Stewart, which is
being used by the other sections of M151.
1. A ladder 10 ft long rests against a vertical wa