Vietnam International University (VNU) HCMC
INTERNATIONAL UNIVERSITY (IU)
Semester 02, Academic Year 2016  2017
o0o
TUTORIAL MATERIAL 08
CHAP 06: CONFIDENCE INTERVALS
1. A real estate agent needs to estimate the average value of a residential property
Vietnam International University (VNU) HCMC
INTERNATIONAL UNIVERSITY (IU)
Semester 01, Academic Year 2016  2017
o0o
SOLUTION TO ASSIGNMENT 06
(Chapter 05: Sampling and Sampling Distribution
Chapter 06: Confidence Intervals)
o0oQuestion 01:
An economi
Name: _ Date: _
A)
B)
C)
D)
1.The mathematical meaning associated with the metric system prefixes centi, milli, and
micro is, respectively,
102, 104, and 106.
102, 103, and 106.
103, 106, and 109.
103, 109, and 1012.
A)
B)
C)
D)
2.In which of the followin
ASSIGNMENT 2 INVENTORY CONTROL
DEADLINE: Wednesday, October 19th 2016
Question 1:
AV City stocks and sells a particular brand of laptop. It costs the firm $625 each time it places an
order with the manufacturer for the laptops. The cost of carrying one la
Answer question 2:
Aspirational groups for customers:
Celebrities: young adults aspire famous people who wear Victorias Secrets products
Young adults: are in aspirational group for tweens as tweens and teens admire the fashion style
of them
Marketers sh



Kiva's robots have been a real cost saver
it would translate to roughly $22 million in cost savings for each fulfillment center.
cut operating expenses by about 20%
Amazon could cut another $800 million in onetime cost savings once it deploys more
Outline
Integral and Comparison Tests
Absolute and Conditional Convergence
Chapter 1: Sequences and Series
Lecture 3: Convergence Tests
Assoc. Prof. Mai Duc Thanh
September 15, 2015
Assoc. Prof. Mai Duc Thanh
Chapter 1: Sequences and Series Lecture 3: Con
Sequences, Series, and Their
Convergence
Tran ThaiDuong, Ph. D.
May 18, 2013
Tran ThaiDuong
Series
May 18, 2013
1 / 24
Convergence of a sequence
A sequence cfw_an converges to a limit L
lim an = L
n
iff, for every > 0, there exists a number M such
that
Integration in several variables
Tran ThaiDuong, Ph. D.
May 25, 2013
Tran ThaiDuong
Integration
May 25, 2013
1 / 27
Iterated integrals
Similar to partial derivatives, we also have
antiderivatives and integrals of a multivariable
function with respect to
Vectors
Tran ThaiDuong, Ph. D.
May 20, 2013
Tran ThaiDuong
Vectors
May 20, 2013
1 / 30
Arithmetic operations
A vector is an ordered list (or tuple) of numbers
~v = (x, y , z, t, . . .)
The number of components of a vector is its
dimension. Arithmetic op
Sequences Convergence & Divergence of Sequences Limit Laws of Sequences Monotone Sequences Bounded S
Chapter 1: Infinite Sequences and Series
Lecture 1: Sequences
Assoc. Prof. Mai Duc Thanh
February 14, 2016
Assoc. Prof. Mai Duc Thanh
Chapter 1: Infinite
Outline
Power Series
Representing Functions as a Power Series
Chapter 1: Sequences and Series
Lecture 4: Power Series
Assoc. Prof. Mai Duc Thanh
September 22, 2015
Assoc. Prof. Mai Duc Thanh
Chapter 1: Sequences and Series Lecture 4: Power
Outline
Power S
Fundamental Theorems of
Calculus
Tran ThaiDuong, Ph. D.
May 29, 2013
Tran ThaiDuong
Fundamental Theorems
May 29, 2013
1 / 31
Greens Theorem
Assume a closed curve C is simple; i.e it does not
intersect itself. In this case, C encloses a
simplyconnected
Line Integrals
Tran ThaiDuong, Ph. D.
May 27, 2013
Tran ThaiDuong
Line Integrals
May 27, 2013
1 / 23
Scalar line integrals
Suppose c(t) is a continuously differentiable
bijective parametrization of a curve C. The
line integral of f along the curve C is
Series
Chapter 1: Sequences and Series
Lecture 2: Series
Assoc. Prof. Mai Duc Thanh
Department of Mathematics
International University Ho Chi Minh City
February 14, 2016
Assoc. Prof. Mai Duc Thanh
Chapter 1: Sequences and Series Lecture 2: Series
Series
S
Surface Integrals
Tran ThaiDuong, Ph. D.
May 27, 2013
Tran ThaiDuong
Surface Integrals
May 27, 2013
1 / 22
Parametrized surface
A parametrized surface S is described by a
continuously differentiable function
(u, v ) = (x(u, v ), y (u, v ), z(u, v )
wher
Outline
Taylor and Maclaurin Series
Binomial Series
Chapter 1: Sequences and Series
Lecture 5: Taylor and Maclaurin Series
Assoc. Prof. Mai Duc Thanh
September 7, 2015
Assoc. Prof. Mai Duc Thanh
Chapter 1: Sequences and Series Lecture 5: Taylor
Outline
Ta
Mathematics 4C
Mathematics Department
Phillips Exeter Academy
Exeter, NH
July 2015
To the Student
Contents: Members of the PEA Mathematics Department have written the material
in this book. As you work through it, you will discover that algebra, geometry,
4
HW #7 SOLUTIONS
Section 15.7
4. (3 points)
Use the level curves in the figure (see attached sheet) to predict the location of the critical points of f and whether f has a saddle point or a local
maximum or minimum at each critical point. Explain your re
Math 263 Calculus III
i
Homework Solutions
Math 263 Calculus III
(Part II)
MAP
Pierce College
Math 263 Calculus III
ii
Table Of Contents
Section 15.1. 3
Section 15.2. 8
Section 15.3. 11
Section 15.4. 15
Section 15.6. 19
Section 15.7. 24
Section 15.8.
MATH 2001: DOUBLE INTEGRALS IN POLAR COORDINATES
Q: Evaluate the integral
where
RR
15.4: q. 13
arctan xy dA by changing to polar coordinates,
R
R = cfw_(x, y)1 x2 + y 2 4, 0 y x
A: Noting that x2 + y 2 = r2 and that the line y = x makes an angle of
xaxi
MATH 2004 Homework Solution
HanBom Moon
Homework 10 Model Solution
Section 15.1 15.2.
15.1.12 Evaluate the double integral by first identifying it as the volume of a solid.
ZZ
(5 x) dA, R = cfw_(x, y)  0 x 5, 0 y 3
R
The solid over R bounded above by th
PARTIAL DERIVATIVES
# Function of two variables
Notation: (
)
(
)
Definition: A function of two variables is a rule that assigns to each ordered pair of real
numbers (
) in a set a unique real number denoted by (
)
Domain:
cfw_(
)
Range: set of value th
Diagonalization of matrices
by Associate Prof. Pham Huu Anh Ngoc
Diagonalization
Statement of Problem:
Given a square matrix A, when we can find an invertible matrix P such
that P1 AP is a diagonal matrix.
This problem is closely associated to eigenvalues
Eigenvalues and Eigenvectors
By Associate Prof. Pham Huu Anh Ngoc
November, 2016
Definition of eigenvalue
Definition
Let A be an n n matrix. Suppose that x is a nonzero vector and is a
number such that
Ax = x.
Then is called an eigenvalue of A and x is ca
Chapter 4
Systems of
Linear Equations;
Matrices
Section 7
Leontief InputOutput
Analysis
Learning Objectives for Section 4.7
Leontief InputOutput Analysis
The student will be able to formulate and solve the
twoindustry model of inputoutput analysis.
University of Ottawa MAT 1302
Leontief InputOutput Model Exercises Solutions
Professor: Alistair Savage
Question 1. Suppose an economy has three sectors. The consumption matrix and final demand vector are
given by
.4 .6 0
72
C = .4 .3 .2 , d~ = 150 .
.1
Chapter 5: Consumer
Markets and Consumer
Buyer Behavior
Kira Higgins
Jackie Reyes
Roberto Ornelas
Paul Lara
What is Consumer Buyer
Behavior?
Consumer Buyer Behavior refers to the buying
behavior of final consumersindividuals and
households that buy goods