Math 111 WA #1 (2.1, 2.2) Instructor:
Name_
Draw the following angles in standard position.
1. 135
3.
2.
7
3
2
4. 3
4
Convert each angle in degrees to radians. Leave answers in terms of .
5. 300
6. 225
Convert each angle in radians to degrees.
7.
5
8.
1
Review for Test #1
Complete the following without a calculator. Simplify fractions in terms of where
necessary. Be sure to include units, if necessary. Consult your instructor regarding
specific testing information: multiple choice, short answer, number o
Math 112 Spring 2015
Midterm 1 Review Problems
Page 1
1. Solve the equation.
2x 3
5
4 2x 5
7
The answer is:
(A)
(B)
(C)
(D)
(E)
Less than 5
Between 5 and 1
Between 1 and 3
Between 3 and 7
More than 7
2. Solve for x :
(A)
(B)
(C)
(D)
(E)
1
x 4
3
1
x 8 . Th
MATH 263
Written Homework #2
X
=12
5
So, X=60. We are able to choose any values as long as the median=17 & the mean= 12.
1) ? + ? +17+ ? + ?=
New data set: 1, 3, 17, 18, 21
2) Data set: 10, 20, 30, 40, 50, 200
Q1: 20
Q2: 35
Q3: 50
Mean: (11+20+30+40+50+20
MATH 263
Written Homework #1
1a)
Distribution of Life Expectancies from 181 Countries
49
50
40
37
30
Frequencies
26
20
13
10
12
11
15
14
3
0
Up To 45 45 To 50 50 To 55 55 To 60 60 To 65 65 To 70 70 To 75 75 To 80 80 To 85
Life Expectancy at Birth (years)
1 UNIT 2: Chap.4: Forces
AP B Physics
A. Newt 5 (PM
1. digce, No accgergtw fthe vector sum of all forces is zero, then an object will remain
WM. own-WW
at rest or move at constant velocity. Fnet = 0 or 2 F = 0.
(think of inertia as a lack of a net force
Section 1.4
Applied Combinatorics
Math 447/557
Chapter1
Marek Rychlik
Department of Mathematics, University of Arizona
January 4, 2014
Marek Rychlik
Applied CombinatoricsMath 447/557Chapter1
Section 1.4
Jordan Arcs and Jordan Curves
Definition (Jordan Arc
Section 2.1
Section 2.2
Applied Combinatorics
Math 447/557
Chapter2
Marek Rychlik
Department of Mathematics, University of Arizona
January 28, 2014
Marek Rychlik
Applied CombinatoricsMath 447/557Chapter2
Section 2.1
Section 2.2
Bridges of Konigsberg Puzzl
Final Exam
MATH 205, Fall 2014
Name:
Instructions: Please answer as many of the following questions as possible. Show
all of your work and give complete explanations when requested. Write your final
answer clearly. No calculators or cell phones are allowe
CHAPTER 1
ELEMENTS OF GRAPH
THEORY
1.1
GRAPH MODELS
The first four chapters of this book deal with graphs and their applications. A graph
G = (V, E) consists of a finite set V of vertices and a set E of edges joining different pairs of distinct vertices.
Section 1.1
Section 1.2
Section 1.3
Applied Combinatorics
Math 447/557
Chapter1
Marek Rychlik
Department of Mathematics, University of Arizona
January 4, 2014
Marek Rychlik
Applied CombinatoricsMath 447/557Chapter1
Section 1.1
Section 1.2
Section 1.3
Grap
Final Exam
MATH 205, Fall 2014
Name:
Instructions: Please answer as many of the following questions as possible. Show
all of your work and give complete explanations when requested. Write your final
answer clearly. No calculators or cell phones are allowe
PRELUDE
This book seeks to develop facility at combinatorial reasoning, which is the basis
for analyzing a wide range of problems in computer science and discrete applied
mathematics. As a warm-up exercise for such reasoning, this Prelude presents the
gam
Sample Test 3 Chapter 5, 6, 7, 8.1
Math 263-09, Spring 2016
1.
A)
B)
A sample of size n is selected at random from a population that has mean and standard
deviation . The sample mean x will be determined from the observations in the
sample. Which of the f
MATH 263 - 009: QUIZ 5
DUE WEDNESDAY, APRIL 6, 2016, 9:00 AM
(1) Insurance adjusters are concerned about the high estimates they are receiving from
Jockos Garage. To see if the estimates are unreasonably high, each of 10 damaged
cars was taken to Jockos a
Name
Homework 19
Sections 18.3 & 18.4
1. (6) Determine whether the vector eld
F~ (x, y, z) = (xye + 3)~i +
z
is path-independent.
S16
1
1 2 z
2
z
x e + 2z 1 ~j +
x ye + 2y ~k
2
2
2. (6) Use the Fundamental Theorem of Calculus for Line Integrals to compute
Name
Homework 11
Sections 14.6 & 14.7
z
z
and y
for z = u2e3w , u = xy2, w = ln(x3y).
1. (6) Find and simplify x
S16
2. (7) Find the quadratic Taylor polynomial, Q(x, y), approximating f (x, y) =
near (5, 6).
S16
p
(2x y)3
3. (7) Determine the best quadra
Name
Homework 13
Section 16.2
1. (2ea) Sketch the region of integration of the following.
Z
5
Z
x+1
(a)
2
x +y
0
2
Z
dy dx
4
Z
3
(b)
2
sin(xy) dx dy
0
y1
Z
2. (5) Evaluate the integral
and
S16
(3, 1).
2xy dA,
T
where
T
is the triangle with vertices
(1, 1)
Name
Homework 7
Sections 14.1 & 14.2
1. (2ea) The monthly payment on a home loan is a function, P (A, r, n), of the amount of
the loan, A, the interest rate, r, and the number of years of the loan, n.
positive or negative? Why?
(a) Is P
A
(b) Is Pn(A, r,
Name
1. (5) Find the equation of the plane which is tangent to the graph of
f (x, y) = yx3 xy 2 + xy + 11x
at the point (2, 4). Write your answer in the form z = ax + by + c.
S16
Homework 8
Section 14.3
2. (5) Find an equation for the tangent plane to the
Name
Homework 24
Section 20.1
1. (4) Compute the curl of
F~ = (5yz + x)~i + (3xz + y)~j + (9xy + z)~k .
= (2xy + z + 4)~i y 2~j + (11y 5x2 )~k and let C be the square of side
length 0.01 centered at (2, 3, 4) in the plane 2x + y + 2z = 14, oriented clockw
Name
Homework 20
Section 18.2
1. (5) Let C be the line segment from (1, 4, 9) to (5,Z 6, 8) and consider the vector eld
F~ (x, y, z) = (x + y)~i + (xz)~j + (y 4)2~k . Compute
F~ d~r.
C
S16
2. (3ea)
Consider the vector eld
F~ (x, y) = (x + y)2~i 5y~j
y
2
C