Arceo, XXX, Jane Smith, Unknown, RichardLemence, Silva, Dr.Lope, Celeste, Loquias, VonnKeeWong, Dr.Raquel, Paras, Ralph John Dela Cruz, Richell Celeste, Julius Caesar C. Agapito, ron, Herlo, DarylSaddi, Lilibeth D. Valdez, Walo
MBA Comprehensive Examination
February 9, 2013
Part 1. (20 points) Multiple Choice
Instructions: Block the circle that corresponds to the letter of your choice in a separate answer
sheet. Return quest
CASE APPLICATION #3
Wild Ride
he Radio Flyer little red wagon.Jo Ahhhh.memon'e.s of
I childhood. That classic red metal wagon has been a popu-
lar childs toy for over 70 years. In addition. Radio Flye
Richmonde Hotel Ortigas
By Ruby Lauren C. Manuel
COMPANY BACKGROUND
Operating since 1999, Prestige Hotels and Resorts, Inc. or PHRI is the inaugural plunge of Filipinoowned Megaworld Corporation into
Human Nature Perfect Coverage Mineral Foundation
Written by Sendy delos Reyes
I. Background of the Company
The Human Nature Brand was produced by Gandang Kalikasan Incorporated (GKI). It was a
social
BioBalance
By Paola Joana F. Paz
The Consumer Health Market
The growing health awareness of consumers is greatly influenced by their desire to
feel and look good. This occurrence resulted in a gradual
C2 GREEN TEA
INTRODUCTION
Most Asians are accustomed to drinking all kinds of tea, but Filipinos, having
been colonized by the Spaniards for nearly 400 years and by the Americans for
another 50, are d
National Statistics Office (NSO) now Philippine Statistics
Authority (PSA) was used as basis for the corresponding
weights for the areas covered. The percentage contribution of
each of these areas to
Number of Items by Commodity Group for GRPI (2000=100)
GENERAL RETAIL PRICE INDEX (GRPI)
Commodity Group
All Items
A. Food
B. Beverages and Tobacco
C. Crude Materials, Inedible except Fuels
D. Mineral
VI. Problem Solving:
1. A certain cell in the shape of an icosahedron (Note: An icosahedron is a solid having
20 regular triangular faces). Let a be the edge length of the cell and V (in cubic
microme
1 3
= t '1
1n3u 1113 an n+0
= i 32x1itan'11/32x1-1C
hi3 1113
I. Zeros ofh: 3, 1,2
2. h(3:) = 3x2 9 and h(:r) = 62:.
Critical points: a: = J5, \/ Possible point(s) of inection: :c = 0
h is increasing i
We then use the method of logarithmic differentiation to compute for ik]. Here, we
let u = 5:. Hence, we have
u : x
lnu = x lnx
l - :3 : 1 + In a: (after dierentiating both sides of the
L.
MATHEMATICS 53
Final Exam
I. Evaluate the following limits:
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xiln 821 12.93 -I- 36
43/ 3 3
. _ 7f '1|T TL
2. limsm
nr] n, 1
II. Given the function
fix) 2 cfw_x/s 12, if]$! <
Now we compute for a when V = 10?
5
n 2 r" _ 23
V_10f> 1245a
24 = a3
a 2 23/9:
. do 4 1
a 5&(23/92 = sew/
2. We set if = D be the time at which particle B starts moving.
At any time t, the distance
3. First we sketch the region described:
Using the method of washers, the denite integral that will give the volume of the region
R is given by:
tr/1K? + 2)2 22kb," +w/5W5 33+ 2)? 22]dx
D 1
4. Any r
To maximize the area, we let fcfw_:c) = 0.
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We take the positive root. since we are cem
Reaction Paper: Why Home Ownership is Actually a Terrible Investment
Adam Conovers video on Why Home Ownership is Actually a Terrible
Investment says that it is better to just rent than buying your ow
Problem 3, Page 100
Show that if A is closed in X and B is closed in Y , then A B is closed in X Y .
Proof: Since A, B are closed in X, Y respectively, X A, Y B are open in
X, Y respectively. Then (X
Figlia, M.Nicole, Figliarina, Sorores and Shubizz are brands of Charter International Inc. Since 1998,
Charter International Inc. has been part of the Celine Group of Companies.
Figlia, derived from t
(1) Let A be a set. Let cfw_X be a family of spaces and let cfw_f : A X be a family of
functions. Show that there is a unique coarsest topology T on A relative to which
each f is continuous.
(2) Let
Topology of Rn
Will Rosenbaum
Updated: November 9, 2014
Department of Mathematics
University of California, Los Angeles
1 Basic Notions
1.1 Open sets In this section, we describe the standard topology
EXAM 3: SOLUTIONS - MATH 490
INSTRUCTOR: George Voutsadakis
Problem 1
1. Give the definition of the product of finitely many topological spaces.
Q
2. Prove that a subset F of X = ni=1 Xi is closed if
FTAR 1o S 2014/15
4
Countability axioms
Definition 4.1. Let X be a topological space
X is said to be first countable if for any x X, there is a countable basis for the
neighborhoods of x.
X is said
THE PRODUCT TOPOLOGY
GILI GOLAN
Abstract. In this paper we introduce the product topology of an arbitrary
number of topological spaces. We define the separation axioms and characterize the Tychonoff S
MAT 4855/5220: Selected Solutions to Assignment 7
A long, difficult assignment with lots of examples to learn from!
2-8
6. Q
Let us introduce the notation x = (x )J and xn = (xn, )J for points of the
22M:132
Fall 07
J. Simon
Some highlights on
Countability and Separation Properties
(Relates to text Sec. 3036)
Introduction. There are two basic themes to the next several sections:
a. What properties
Math 142 Topology
Second Semester AY 2016-17
Syllabus
Course Description: General Topology. Topological Spaces. Continuities
and compactness. Separation Axioms.
Credit: 3 units
Prerequisite: Math 109,