Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Final Exam
April 29 2008
NAME _ Section _
Problem
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
Answer
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
Instru
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Exam 3
April 9 2008
NAME _ Section _ Problem 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Answer b c d b c d b c d b c d b c d b c d b c d b c d b c d b c d b c d b c d b c d b c d b c d
a a a a a a a a a a a a a a a
e e e e e e e e e e e e e e e
Instruction
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Exam 2
March 5 2008
NAME _ Section _
Problem
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
Answer
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
b c d
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
Instruction
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
M346 Practice Second Exam
Originally given November, 2, 2000
Problem 1: Find all the eigenvalues and corresponding eigenvectors of the matrix
101
A = 0 2 0.
0 3 5
Note that the matrix is blocktriangular, with an upper left 1 1 block and a lower
right 2 2
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA 123 Elem. Calculus
SECOND MIDTERM
SPRING 2007
03/07/2007
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this
exam. No books or notes may be used. You may use a graphing calculator during the exam,
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
M346 First Midterm Exam Solutions, September 21, 2000 The exam is closed book, but you may have a single handwritten 8.511 crib sheet. There are 4 problems, each worth 25 points. I hope to have the exam returned to you next Thursday. Good luck! 1. Let V
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
M346 Practice Second Exam
Originally given November, 2, 2000
Problem 1: Find all the eigenvalues and corresponding eigenvectors of the matrix
10
0 2
A=
0 3
1
0.
5
Problem 2:
Find a matrix with eigenvalues 1, 2 and 3 and corresponding eigenvectors
0
1
1
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
M346 First Midterm Exam, September 21, 2000
The exam is closed book, but you may have a single handwritten 8.5 11
crib sheet. There are 4 problems, each worth 25 points. I hope to have the
exam returned to you next Thursday.
Good luck!
1. Let V be the su
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Exam 3
November 14 2007
NAME _ Section _
Problem
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Answer
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
Instruc
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123, Supplement: Exponential and logarithmic functions (pp. 315319, Gootman)
Chapter
Goals:
Review properties of exponential and logarithmic functions.
Learn how to dierentiate exponential and logarithmic functions.
Learn about exponential growth an
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 4
Spring 2014
20140507
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during the exam, but NO ca
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
Math 123 Elem. Calculus
Exam 4 Bonus Questions
Fall 2014
Name:_ Sec.:_
The questions below are bonus questions. You should write your answers on this page. BOTH THE STEPS YOU
SHOW (YOUR WORK) AND YOUR FINAL ANSWER MAY AFFECT YOUR SCORE. You must show prop
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 — Elem. Calculus Spring 2014 . /' if i _
Exam 3 201404—17 Nam? ‘m Sec.
Do not remove this answer page — you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during th
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 3
Spring 2014
20140417
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during the exam, but NO ca
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 3
Fall 2014
20141120
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use an ACTapproved calculator during the exam, but NO
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 7 Elem. Calculus Fa112014 g: E" ‘2
Exam 2 2014—03—13 Name‘ Sec"
Do not remove this answer page 7 you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during the exam,
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
" Exam 2 2014—10—23
MA123 — Elem. Calculus Fall 2014 50m; Tl 0 NS
Name: Sec.:
Do not remove this answer page — you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use an ACT—approved calculator du
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA 123 Elementary Calculus
THIRD MIDTERM
Spring 2009
04/15/2009
Name:
Sec.:
Do not remove this answer page you will return the whole exam. You will be allowed two hours
to complete this test. No books or notes may be used. You may use a graphing calculato
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 2
Fall 2014
20140313
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during the exam, but NO calc
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 2
Fall 2014
20141023
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use an ACTapproved calculator during the exam, but NO
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 7 Elem. Calculus Fall 2014 S O LU “H o Mﬁ
Exam 1 2014—09—25 Name: Sec"
Do not remove this answer page — you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during the
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 1
Spring 2014
20140213
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use a graphing calculator during the exam, but NO ca
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
Math 123 Sample Solutions for Exam 1 Short Answer
1. Find the average rate of change of f(x) = \l3x+1 from x = 2 to x = 8.
Ame 2: ﬂaiwfgj Jam M a
WWW ,
.W Wmmu/W’mxwwrmww wemmwﬂ waggmumwmew
ﬁe i;
Q
We;
l
m l
2. For what value of b is the function
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
Math 123
Sample Questions for Exam 1 Short Answer
The following questions should help you prepare for the two short answer questions that will be offered
on the first exam. To be sure you will get full credit, you must show clear legible work to support y
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA123 Elem. Calculus
Exam 1
Fall 2014
20140925
Name:
Sec.:
Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam.
No books or notes may be used. You may use an ACTapproved calculator during the exam, but NO
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA 123 Elementary Calculus
FIRST MIDTERM
Spring 2009
02/11/2009
Name:
Sec.:
Do not remove this answer page you will return the whole exam. You will be allowed two hours
to complete this test. No books or notes may be used. You may use a graphing calculato
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA 123 Elementary Calculus
THIRD MIDTERM
FALL 2008
11/19/2008
Name:
Sec.:
Do not remove this answer page you will return the whole exam. You will be allowed two hours
to complete this test. No books or notes may be used. You may use a graphing calculator
Birla Institute of Technology & Science, Pilani  Hyderabad
Precalculus
MATH 1001

Spring 2012
MA 123 Elementary Calculus
FIRST MIDTERM
FALL 2008
09/24/2008
Name:
Sec.:
Do not remove this answer page you will return the whole exam. You will be allowed two hours
to complete this test. No books or notes may be used. You may use a graphing calculator