WENTWORTH MILITARY ACADEMY & COLLEGE
LEXINGTON, MO 64067
Wentworths Mission is to ensure that our students develop the academic skills, intellectual habits, leadership
qualities, self discipline, and character traits needed for life long learning
Course:
Exam II
MAT 165
Spring 2014
Name:
Directions: Please show all work and be as neat as possible. Please put your answers in the provided boxes. All
answers must be exact unless an approximation is requested. Round all approximations to four decimal places.
Quiz 1
MAT 165
January 17, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. Find the x-intercepts of the graph of the equation y =
Exam I
MAT 165
Spring 2014
Name:
Directions: Please show all work and be as neat as possible. Please put your answers in the provided boxes. All
answers must be exact unless an approximation is asked for. Round all approximations to four decimal places.
8
Review for Exam III
MAT 165
Spring 2014
1. Find the derivative f (x) for the following functions.
a) f (x) = (5x4 + 3x3 2x + 1)(5x3 + 3x2 10x)
f (x) = (20x3 + 9x2 2)(5x3 + 3x2 10x) + (5x4 + 3x3 2x + 1)(15x2 + 6x 10)
b) f (x) =
5x2 + 3x 2
3x3 + 5x2 2x
c) f
Review for Exam I Answers
MAT 165
Spring 2014
1. Find the x-intercepts and y-intercept of the following equations.
a) 5x 3y = 30
To nd the x-intercept let y = 0. This gives 5x = 30. Thus x = 6. Thus the x-intercept is (6, 0).
To nd the y-intercept let x =
Exam III
MAT 165
Spring 2014
Name:
Directions: Please show all work and be as neat as possible. Please put your answers in the provided boxes.
40 points
1. Find the derivatives of the following functions.
5x10 + 6x5 + 7
a) f (x) =
4x3 8x
b) f (x) = (5x7 4
Quiz 2
MAT 165
January 24, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. The graph of the function g(x) is
y
2
1
g(1) =
x
3
2
1
Quiz 6
MAT 165
March 7, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
2
1. Find the slope-intercept form of the equation of the tan
Quiz 8
MAT 165
April 9, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. The graph of y = f (x) is given below. Find the approximat
Quiz 9
MAT 165
April 16, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. List the intervals on which the function f (x) = x3 6x2 +
Quiz 7
MAT 165
March 21, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. Find the derivative of y = 4 sec2 x.
y =
2. Find the equa
Quiz 5
MAT 165
February 21, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. Refer to the graph of f below to answer the following
Quiz 3
MAT 165
January 31, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. Find the exact value of each expression.
a. sin(3/4)
b.
Quiz 4
MAT 165
February 12, 2013
Name:
Directions: Show all work. Please be as neat as possible. Write answers in the provided boxes. All answers must
be exact unless an approximation is asked for.
1. Refer to the graph of f below to answer the following
Exam I
MAT 112
Spring 2014
Name:
Directions: Show all work neatly, writing nal answers in the provided boxes. Round all dollar amounts to two
decimal places, and all other approximations to four decimal places.
7 points
1. Write the slope-intercept form o
Review for Exam II Answers
MAT 112
Spring 2014
1. Solve the following system of linear equations. Give a parameterization of the solutions if there are an innite
number of solutions.
x + 3y =
1
x = 5 and y = 2
5x 10y = 45
2. Solve the following system of
Exam III Answers
MAT 112
Spring 2014
Name:
Directions: Show all work neatly, writing nal answers in the provided boxes. Round all dollar amounts to two
decimal places, and all other approximations to four decimal places.
6 points
1. Refer to the Venn diag
Review for Exam I Answers
MAT 112
Spring 2014
1. Find the slope of the line that passes through the points (5, 6) and (2, 3).
m=
3(6)
25
=
9
7
2. Find the slope-intercept form of the equation of the line with slope 3 that passes through the point (2, 1).
Review for Exam III
MAT 112
Spring 2014
1. Find each number using the following Venn diagram.
A
U
13
23
a) n(A) = 36
d) n(B ) = 24
e) n(A B) = 23
8
b) n(B) = 31
c) n(A ) = 19
B
f) n(A B) = 44
g) n(U) = 55
11
2. Of the 500 incoming freshmen at a college, 1
Exam II
MAT 112
Spring 2014
Name:
Directions: Show all work neatly, writing nal answers in the provided boxes. Round all dollar amounts to two
decimal places, and all other approximations to four decimal places.
10 points
1. Solve the following system of
Quiz 4
MAT 112
February 10, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. Evaluate log2 23 exactly without a calculator.
log2 23 =
2. A loan of $7, 260 was repaid at the end of 8 mo
Quiz 1
MAT 112
January 17, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. Solve 10x + 25(x 3) = 275.
x=
2. Solve
x 1 1
+ = .
4 2 8
x=
3. Solve 2x + 3 < 4. Give the answer in interval
Quiz 7
MAT 112
April 2, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. A particular new car model is available with 5 choices of color, 3 choices of transmission, 4 types of interior
Quiz 6
MAT 112
March 26, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. Perform the indicated set operation.
a) cfw_1, 2, 3 cfw_2, 3, 4 =
c) cfw_1, 4, 7 cfw_10, 13 =
b) cfw_1, 2, 3 c
Quiz 5
MAT 112
February 26, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. Solve the following system of linear equations using any method.
3x y = 2
x + 2y = 10
x=
y=
2. How many sol
Quiz 3
MAT 112
January 31, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. Find the vertex and x-intercepts of the quadratic function f (x) = 4x2 + 16x 15.
Vertex:
x-intercepts:
and
2
Quiz 2
MAT 112
January 24, 2014
Name:
Directions: Show all work. Please be as neat as possible. Please write the answers in the provided boxes.
1. Find the slope-intercept form (y = mx + b) of the equation of the line through the point (4, 5) with slope
m