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.
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 do
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 do
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)
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
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 t
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 an
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)
Exam 1 Solutions
Doug Babcock
21 September 2009
1. Find the slope rst: m =
Plugging m =
1
7
2 (1)
1
1
=
=.
3 4
7
7
and (x1 , y1 ) = (4, 1) into the point-slope equation of a line gives
y (1) = 1 (x 4)
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
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 no
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) Fa
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