1. NW: Used Ctr 101 has 4 Mercedes (211 different ochre) and 5 Innities cfw_all different colors). How many ways
can Jake line them up for a picture. if he keeps all Mercedes together and an innities
529mg? 22275904 1/.)
1. Professor Umbuggio has decided
that there are too many yellow
tulips in his garden. He wants to
remove 5 of the 25 yellow tulips.
What is the number of choices he
has?
(A) 525
p. 1
1) Two lines with slopes m1 and m2 are perpendicular provided m1 = m12 . Let L1 and L2 be two
lines given by
1): L1 is the line running thru the points (4, 0) and (0, 6)
2): L2 is the line runnin
16
Exam 3 Version 2
Exam 3 Version 2
This is a 75 minute test.
1. Find an equation for the straight line which goes through (2, 3) and is parallel to the line
9x + 3y = 1.
(A) 3x y = 3 (B) 3x + y = 9
M118
Exam 3
November 17, 2016
There is exactly one correct answer for each problem. Please write down your choice
IN CAPITAL LETTERS in this cover page.
Last Name:
First Name:
Section:
Seat number:
1
Name:
M118, Fall 2016 - Exam 3
Very important instructions:
- This exam consists of 12 multiple choice questions. Each question has one correct
answer: (A), (B), (C), (D), or (E). Unlike the midterm,
Math Mil?)
327WA~
In the spaces below, clearly print the letter that corresponds to your answer for each question. Select only
one answer for each question. Keep all pages of this exam stapl
Printed Nam-
Signature: 7
Instructof. Seat Numbers:
M118 MIDTERM EXAMINATION FEBRUARY 27, 2010
INSTRUCTIONS: This exam is 90 minutes long and consists of 25 multiple-choice questions.
Indicate your an
Exam 1 Name: 30 [UL-Jr cfw_0W
1. Let
_ ./la:|+x21 ifxgo
fewcfw_Vlwll ifsc>0
Is there some a: in (1, 1) for which f (3;) = 0? \Vhy or Why not?
Arrmwk 2 729+ SW vex/Lam *1 3&1 Ws
1.
Y0 14% NM. cfw_'5
1
1. Find the derivative of f($) : using the denition of derivative.
1 . MW cfw_ZUCtVJMQDQ
$kx) Mr'90 la
a _ .i.
a; \VZ/L. J3: J7
cfw_xxbe 1m
J32 * x-Hn
\
\Mq.
In
2 3,3: mv
Rum 'fm 3
":2
Economics E201-Fall 2017, Non-Graded Home Assignment 5
For those participating in CL bring your work with you to the session and be sure to
put in a good faith attempt in solving the problems prior to
Group 1:
Dorothy Angelopoulos
Alexis Clark
Jayme Dinnerstein
Kelsey Fedor
Samantha Green
Helen Hovde
Adam Mattingly
Sydney Ollearis
Ashlee Reynolds
Julia Snow
Max W
Economics E201-Fall 2017, Non-Graded Home Assignment 2
For those participating in CL bring your work with you to the session and be sure to
put in a good faith attempt in solving the problems prior to
Economics E201-Spring 2017, Non-Graded Home Assignment 1
For those participating in CL bring your work with you to the session and be sure to
put in a good faith attempt in solving the problems prior
Economics E201-Fall 2017, Non-Graded Home Assignment 4
For those participating in CL bring your work with you to the session and be sure to
put in a good faith attempt in solving the problems prior to
1.9 Proportionality, Power
Functions, and Polynomials
A. Proportionality
We say y is (directly) proportional
to x if there is a nonzero constant
k such that
y = kx.
k is called
the constant of proport
Quick Review: The Chain Rule
H(x) = ln(2x ). What is H(x)?
5
A.
B.
C.
D.
E.
F.
4
5ln(2x )
5
1/(2x )
1/x
4
5
(10x )ln(2x )
5/x
None of the above
3.4 The Product Rule and
the Quotient Rule
We use the pr
Appendix B:
Interest,
Compound Interest, and
Present and Future Value
P: amount initially deposited in an
interest bearing account
r: annual interest rate
t: number of years P is in account
B: balance
Wednesday, Aug 23
Recall how to compute a slope:
Find the slope of the line between
the two points (2, 6) and (8,-12).
1.3 Average Rates of Change
If y is a function of t, so y = f(t):
Define the aver
3.3 The Chain Rule
We use the chain rule to take the
derivative of a composite function.
This includes functions that are
power functions, exponential
functions, and logarithmic
functions where there
Review:
What is the slope of the line
y = 4 2x?
A.
B.
C.
D.
E.
F.
4
-4
2
-2
0
None of the above
What is the slope of the line y = 4?
3.1 Derivative Formulas:
Powers and Polynomials
A. Constant and lin
1.6 The Natural Logarithm
(and a review of exponents)
e = 2.718281828459
The natural logarithm of x,
ln(x),
is the power of e which gives x.
c
ln x = c means e = x
Example 0:
0
e = 1 so
ln(1) = 0
ln x