1
[10pts] 1. Find the domain D of the function. (Write answer in interval
notation.)
x 1
x + 5x 6
f ( x) =
2
D=
[8 pts] 2. Find all solutions of
cos(2t ) = 1
t=
2
[16 pts] 3. Find the following limit. If the limit doesnt exist, write DNE
16 x 2
x 4 4 x
(a
MA 231 Final Review Problems
1. Find the equation of the line:
(a) with slope 2 containing (3,0)
(b) passing through (2,3) and (-1,3)
2. Solve:
(a) 3y 2 + 8y + 2 = 0
(b) 4x2 = 4x 1
3. Determine the domain of the function:
(a)
f (x) =
x4 + 7
x2 + 6x + 5
(b
MA 231 Final Review Problems
1. Find the equation of the line:
(a) with slope 2 containing (3,0)
(b) passing through (2,3) and (-1,3)
2. Solve:
(a) 3y 2 + 8y + 2 = 0
(b) 4x2 = 4x 1
3. Determine the domain of the function:
(a)
f (x) =
x4 + 7
x2 + 6x + 5
(b
MA 23100 - Practice Exam 2
1. Find f (4) when f (x) = 4(x2 + 1)( x 3).
A. f (4) = 272
B. f (4) = 36
C. f (4) = 15
D. f (4) = 96
111
E. f (4) =
4
2. For f (x) = 2x4 + 10x3 + 17x + 12, what is f (4) (0)?
A. 0
B. 48
C. 24
D. 12
E. 10
1
MA 23100 - Practice Ex
MA 231 Final Review Answers
1. Find the equation of the line:
(a) y = 2x 4
(b) y = 3
2. Solve:
4
(a) y = 3
(b) x = 1
2
1
3 10
1
2 2
3. Determine the domain of the function:
(a) (, 5) (5, 1) (1, )
7
(b) [ 2 , )
4. Find all solutions to the equation
(a)
t
MA 231
Exam 1/Green
Spring 2013
Students Name:
Students ID Number:
MA 231 Sections:
0011 8:30 Greg Hurst
0021 9:30 Greg Hurst
0031 10:30 Lidia Mrad
0041 11:30 Lidia Mrad
Instructions:
1. Do NOT turn the page until told to do so.
2. Fill in your name and s
MATH 290B
EXAM 3
Fall 2007
Name: _
Student ID number: _
Instructions:
1. Please fill in the above information. There are 7 problems.
2. You must show sufficient work to justify all answers. Correct answers with
insufficient work will not receive full cred
MA 23100 Exam 1 Review Answers
Doug Babcock
15 September 2009
1. y =
11
3
x
5
5
2. The graph should be a parabola with vertex (2, 4), opening upwards, which passes
through the points (0, 0) and (4, 0). The tangent line at (1, 5) should be steep, and movin
MA 23100 Exam 3 Review Answers
Doug Babcock
15 November 2009
1. Absolute maximum: 7; absolute minimum: 27
2. No absolute maximum. Absolute minimum: 120
3. 50
4. 60 feet (length of fencing parallel to the river) by 30 feet (length of the two sides of fenci
Exam 3 Solutions
Doug Babcock
23 November 2009
1.
d 2x sin x
]
[e
dx
d
= e2x sin x [2x sin x]
dx
= e2x sin x (2x cos x + 2 sin x) (using the product rule)
2.
=
=
=
=
d 1+x3
[e
]
dx
d
3
e 1+x [ 1 + x3 ]
dx
d
3
e 1+x [(1 + x3 )1/2 ]
dx
1+x3 1
e
(1 + x3 )1/
MA 23100 Sample Exam Answers
Doug Babcock
16 September 2009
1. As written, the answer is (, 6) (6, 1) (1, ). However, I would not ask the
question in this way, because I have not discussed interval notation this semester. The
domain of the function can al
Answers to Sample Exam 2 (MA 231)
1. Note: While there will be no True/False questions in
your exam, these are still good exercises to test your
understanding.
(a) True (covered by Section 3.4)
(b) False
(c) False
(d) True
(e) True
2. D
3. D (Corrected. N
MA 23100 - Practice Exam 3
8
4
4
and f (x) =
.
, then f (x) = 1
2
x+3
(x + 3)
(x + 3)3
Where do the relative extrema of f (x) occur?
1. If f (x) = x + 1 +
A. x = 6, x = 0
B. x = 5, x = 3, x = 1
C. x = 6, x = 3, x = 0
D. x = 5, x = 1
E. x = 3, x = 1
1
2.