Math 111, Section 03 Fall 2012
Final Exam, Wednesday, December 19, 2012
Instructions: Do all the problems, and show all work, including scratch work, on
your exam paper. If you need more space, use the back of any page.
Little or no credit may be awarded,
Amherst College
Department of Mathematics
Math 111.03
Practice Exam 1
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to receive full credit on a problem, solution methods must
Amherst College
Department of Mathematics
Math 111.03
Practice Exam 2
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to receive full credit on a problem, solution methods must
Amherst College
Department of Mathematics
Math 111.03
Exam 1
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to receive full credit on a problem, solution methods must be comple
Name
M1101 Final Exam
3
x + 7 = 22.
2
Recall what this limit means: as x approaches 10 the quantity 3 x + 7 approaches 22.
2
How close must x be to 10 in order for 3 x + 7 to be within of 22?
2
In other words, how small does need to be in order for
1. Con
Math 111, Introduction to the Calculus, Fall 2011
Final Exam
Monday 19 December
You have 3 hours for the exam and are not allowed to use books, notes, calculators, cell
phones or any other aid. Please write your name on the paper.
Name:
You should explai
Math 111 Final, Manack, Fall 11.
You have 3 hours to take the nal. No calculators, notes, books, cell phones, communication
devices or aids of any sort are allowed. Show all your work and justify all your answers.
There are 14 problems on this nal, totall
Final Exam, Math 111-04, Fall 2012
Wednesday, December 19, 2012
Name:
Instructions: Do all the problems, and show all work, on your exam paper. If you
need more space, you may use additional sheets of paper and staple them to the
exam.
Little or no credit
Math 111, Section 01, Fall 2011
Final Exam
1. (20 points) Compute the following derivatives.
d x
a.
[e sin(5x)]
dx
x
csc(et ) dt.
b. F (x), where F (x) =
e
dy
, where e2x ey + xy = e2 .
c.
dx
d. G (ln(3), where G(x) = h(ex ) and it is known that h(3) = 2
Math 111 Final Exam
Dec. 19, 2012
1. (5 points each) Compute each of the following limits. You should say if the limit is
equal to a particular value, if it is , or if it does not exist.
x2 + 3x + 2
.
x2 x2 + x 2
x2 1
(b) lim
.
x1 (x 1)2
2x 2
.
(c) lim
x2
Math 111, Spring 2013
Final Exam, Math 111, Spring 2013
Instructions: Do all the problems, and show all work, including scratch work, on your exam
paper. If you need more space, use the back of any page.
Little or no credit may be awarded, even when your
Math 111, Introduction to Calculus, Fall 2012
Final Exam
Wednesday 19 December
You have 3 hours for this exam.
You may not use books, notes, calculators, cell phones or any other aids.
You must explain your answers clearly and completely to get full cr
Math 111
Final Exam
1. Evaluate each of the following limits.
[15]
x2 + 5x + 6
x! 3 x2 + 2x
3
4 2x
(b) lim
x! 1 5
x + 3x2
2
x
x 2
(c) lim 2
x!2 x
4x + 4
(a) lim
(d) lim
4
x
x! 4
1
x+3
x+4
2. Compute each of the following derivatives.
x
(a) f 0 (x), where
Math 111
Final Examination
December 19, 2012
This is a closed-book examination. No books, notes, calculators, cell phones, communication
devices of any sort, webpages, or other aids are permitted.
You need not simplify algebraically complicated answers.
Amherst College
Department of Mathematics
Math 111.03
Practice Exam 1
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to receive full credit on a problem, solution methods must