M147, Fall 2009, Exam 1 Name
Note for Fall 2010. This is Exam 1 for M147, Fall 2009, and the exam this year will have
the same format (ten multiple choice questions and ve problems for which work is to be
written out). This exam covered two sections that
Show your work
1. (5 points) Solve the inequality
x2 + 4x 5
0.
(x + 3)2
2. (5 points) Find the inverse function f 1 (x), given f (x) =
What is the domain of f 1 ?
3. (5 points) Solve 3x = 272x5 .
1
1 x and x 1.
1. (5 points) A bicycle has wheels with 26 diameter, rotating at 380 revolutions per
minute.
(a) Find the angular velocity in radians per second.
(b) How fast is the bicycle moving, in feet per second?
2. (5 points) Find sin , cos and tan for =
5
.
3
1
3.
1. (5 points) Prove that
1
= sec + tan .
sec tan
2. (5 points) Find the exact value of cos
31
6
31
6
cos
+ sin
sin
28
7
28
7
1
3. (5 points) Find the solutions for 0 x < 2 of the equation cos 2x = .
2
1
1. (5 points) Find an explicit formula to generate the sequence
n
2. (5 points) Given that
1
k = n(n + 1) and
2
k=1
0 3 8 15 24
, , , ,
, .
2 9 28 65 126
n
143
(4j 3).
1 = n, nd the value of
k=1
j=1
3. (5 points) If cfw_an is an arithmetic sequence, and
Test Total
Name
x
.
10 points
(b) Solve x4 6x2 > 0.
10 points
2. Inverse Functions. Given f (x) =
x1
, nd f 1 (x), write Domain(f ) and Range(f ).
2x + 1
10 points
Page 1 Total (30)
3. Exponentials.
(a) Find the Domain and Range of f (x) = ex 1.
10 points
Test Total
Name
Test 2
3450:149 PreCalculus
July 17, 2009
Show your work.
Dr. Norfolk
1. Let = 5 radians.
(a) (4 points) Find the quadrant in which lies.
(b) (6 points) Give the signs of cot and csc .
10 points
2. A circular dial has 17 equally spaced mar
Test Total
Name
Test 2
3450:149 PreCalculus
June 13, 2008
Show your work.
Dr. Norfolk
1. Let = 3 radians.
(a) (4 points) Find the quadrant in which lies.
(b) (6 points) Give the signs of cos and sin .
10 points
2. A circular dial has 13 equally spaced mar
Test Total
Name
x2
3.
10 points
(b) Solve x3 + 3x4 > 0.
10 points
2. Inverse Functions. Given f (x) =
3x 2
, nd f 1 (x), write Domain(f ) and Range(f ).
2x + 3
10 points
Page 1 Total (30)
3. Exponentials.
(a) Find the Domain and Range of f (x) = e1/x .
1
Test Total
Name
5 points
(b) If the diameter of the tire is 15 inches, nd the speed of the car in feet per second.
5 points
(c) Find the speed in miles per hour (1 mile = 5280 feet).
5 points
2. Let =
11
.
3
(a) Find the quadrant in which lies.
5 points
Name
2
, then bn+1
3n+1 1
=
.
2
2. Suppose that a1 = 2 and an+1 = an + 2n for n 1.
Then, a1 = 2, a2 = a1 + 2(1) = 4, a3 = a2 + 2(2) = 8.
Is it correct that an = 2n ?
3. Prove by the Principle of Mathematical Induction that
1 + 2 + 22 + + 2n = 2n+1 1 .
4.
M147 Practice Problems for Exam 2
Exam 2 will cover all sections of Chapter 4. The rst ten problems on the exam will be
multiple choice. Work will not be checked on these problems, so you will need to take care
in marking your solutions. For the remaining
M147 Practice Problems for Exam 1
Exam 1 will be Thursday September 30, 7:30-9:30 p.m. (The exam room will be announced
in class.) It will cover sections 1.1, 1.2, 1.3, 3.1, 3.2, 3.3, 3.4, 3.5. Calculators will not be
allowed on the exam. The rst ten prob
M147, Fall 2009, Exam 2 Name
Note for Fall 2010. This is Exam 2 for M147, Fall 2009, and the exam this year will have
the same format (ten multiple choice questions and ve problems for which work is to be
written out). This exam covered two sections that
M147, Fall 2009, Exam 3 Name
Note for Fall 2010. This is Exam 3 for M147, Fall 2009, and the exam this year will
have the same format (ten multiple choice questions and ve problems for which work is to
be written out). This exam covered two sections that
M147, Fall 2009, Final
Name
Note for Fall 2010. This is the nal exam for M147, Fall 2009, and the exam this year
will have the same format (ten multiple choice questions and ve problems for which work
is to be written out). This exam covered one section t
M147 Practice Problems for Exam 1
Exam 1 will be Thursday September 30, 7:30-9:30 p.m. (The exam room will be announced
in class.) It will cover sections 1.1, 1.2, 1.3, 3.1, 3.2, 3.3, 3.4, 3.5. Calculators will not be
allowed on the exam. The rst ten prob
M147 Practice Problems for Exam 2
Exam 2 will cover all sections of Chapter 4. The rst ten problems on the exam will be
multiple choice. Work will not be checked on these problems, so you will need to take care
in marking your solutions. For the remaining
M147 Practice Problems for Exam 3
Exam 3 will cover sections 5.1, 5.2, 5.3, 5.4, 5.5, 2.1, 2.2, 2.3, and 5.6. Calculators will not be
allowed on the exam. The rst ten problems on the exam will be multiple choice. Work will
not be checked on these problems
M147 Practice Problems for Final Exam
The nal exam for M147 will be on Wednesday, Dec. 15, 1:00-3:00 p.m., in your usual lecture
room. Calculators will not be allowed on the exam. The rst ten problems on the exam
will be multiple choice. Work will not be
M147, Fall 2009, Exam 1 Name
Note for Fall 2010. This is Exam 1 for M147, Fall 2009, and the exam this year will have
the same format (ten multiple choice questions and ve problems for which work is to be
written out). This exam covered two sections that
M147, Fall 2009, Exam 2 Name
Note for Fall 2010. This is Exam 2 for M147, Fall 2009, and the exam this year will have
the same format (ten multiple choice questions and ve problems for which work is to be
written out). This exam covered two sections that
Test Total
Name
Test 3
3450:149 PreCalculus
July 30, 2010
Show your work.
Dr. Norfolk
1. Given sec = 7, csc < 0 and 0 < 2 , nd the exact values of
(a) cos 2.
5 points
(b) sin 2.
5 points
(c) cos
.
2
5 points
(d) sin
.
2
5 points
Page 1 Total (20)
2. Prove