MA 113 Calculus I Spring 2014 Multiple Choice Answers
-I-IIII
Exam 3 Tuesday, 15 April 2014
Name: l égtl .
W,—
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ﬁve points each) and five free response ques—
tions (ten po
(1) Consider the functions = i and = 4 3:2.
(a) Determine f(g(1) and
(b) Find all numbers a such that (f o g)(a) is dened.
[
(a) {tame WWW:-
, mo {(30)} j-
%m
K.
aim-J 305:) = 4 -2- ,
(b) ({jx} =
r
H-xl
Han-e! IQ drhulim Jr {05 N {a
(a) 119(1) = J*,
MA 113 Calculus I
Fall 2013
Exam 3
Tuesday, 19 November 2013
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each). Ad
MA 113 Calculus I
Fall 2013
Exam 2
Tuesday, 22 October 2013
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each). Add
MA 113 Calculus I
Fall 2013
Exam 1
Tuesday, 24 September 2013
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each). A
MA 113 Calculus I
Spring 2014
Exam 2
Tuesday, 11 March 2014
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each). Add
MA 113 Calculus I
Spring 2014
Exam 1
Tuesday, 11 February 2014
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each).
MA 113 Calculus I
Spring 2014
Exam 2
Tuesday, 11 March 2014
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each). Add
MA 113 Calculus I
Exam 3
Spring 2014
Tuesday, 15 April 2014
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each). Add
MA 113 Calculus I
Spring 2014
Exam 1
Tuesday, 11 February 2014
Multiple Choice Answers
Question
1
Name:
Section:
Last 4 digits of student ID #:
This exam has ten multiple choice questions
(ve points each) and ve free response questions (ten points each).
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam (practice) April 30, 2013
Instructions: No cell phones or network-capable devices are allowed during the exam. The test has
been carefully checked and its notation is consistent with the homework problems and pr
MA162 2013-04-15
1. If two standard six-sided dice are rolled (one white, , , , ,
, , ), what is the probability that
or
or both are rolled?
Ch 7.3
,
; one black
,
,
,
Why isnt it (6+6)/36? Why isnt it (6+6+1)/36 if both are allowed?
n!
FWIW: C(n, k) = (n
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam May 4, 2011
DO NOT TURN THIS PAGE UNTIL YOU ARE INSTRUCTED TO DO SO.
Instructions: Be sure your name, section number, and student ID are lled in below.
Cell phones must be OFF and put away before you open this e
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam December 14, 2011
Instructions: No cell phones or network-capable devices are allowed during the exam. You may
use calculators, but you must show your work to receive credit. If your answer is not in the box or
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam May 2, 2012
Instructions: No cell phones or network-capable devices are allowed during the exam. You may
use calculators, but you must show your work to receive credit. If your answer is not in the box or
if you
4
4.1
Annuities and Loans
Introduction
In previous section, we discussed dierent methods for crediting interest, and we claimed
that compound interest is the correct way to credit interest. This section is concerned
with valuing a large number of cash ows
MA162 2013-04-17
Ch 7.5
1. Use the table to answer the following questions:
M
F
T
Yes
491
486
977
No
9
14
23
Total
500
500
1000
(a) What percentage of non-drivers are male vs. female?
(b) What percentage of drivers are male vs. female?
(c) What percentage
5
More on Annuities and Loans
5.1
Introduction
This section introduces Annuities. Much of the mathematics of annuities is similar to that
of loans. Indeed, we will see that a loan and an annuity are just two ways of looking at the
same nancial transaction
1
1.1
Introduction to Financial Mathematics
Introduction
The mathematical sophistication of nance has increased dramatically over last 50 years.
While software can help perform routine calculations, nanciers still need to develop a deep
understanding of t
3
3.1
More on Accumulation and Discount Functions
Introduction
In previous section, we used (1.03)# of years as the accumulation factor. This section looks
at other accumulation factors, including various forms of compound interest.
3.2
Interest earned ve
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam December 13, 2012
Instructions: No cell phones or network-capable devices are allowed during the exam. You may
use calculators, but you must show your work to receive credit. If you have no work to support
your
MA - Calculus I for the Life Sciences
Final Exam Solutions
Spring
-May-
. Consider the fun ion dened implicitly near (2, 1) by x2 y 2 + 3xy = 10y.
(a) [ points] Use implicit dierentiation to nd the derivative at (2, 1).
d
x2 y 2 + 3xy
dx
dy
dy
+ 3y + 3x
Math 137. Exam 1. February 5, 2013.
Name: E Y /
Circle Your Discussion Section:
>I< Section 1: 12:30pm in CF 201 With Ryan Curry
>l< Section 2: 2pm in PB 307A with Ryan Curry
>l< Section 3: 2pm in CP 345 With Wenwen Du
Instructions: Books, notes, ipods,