MATH 005 QUIZ 2
1. If circular bar metal sheet is .65 cm thick and of 50 cm in diameter is melted and recast into
cylindrical bar with 8 cm diameter then the length of bar will be?
2. If there are 150 wood cylinders to be carved and each cylinder is 12 cm

1.
2.
3.
4.
5.
Find the area of the triangle given the vertices (1, 1),(2, 4), ( 4, 2)
Find the equation of the line passing through the given points ( -4, 7) and (2, 4 )
Find the volume of the tetrahedron given the vertices ( 1,1,1), (0, 0, 0 ) , ( 2, 1,

SEATWORK1 MIDTERM
1 . A freight train has a mass of 1.5 x 10 7 , how long does it take to increase the speed of the train from
the rest of 80 km/hr?
2. A 75 kg. man standing in a scale in an elevator notes that as the elevator rises , the scale reads 825

Quiz 1
.
1. Given vectors u = (1,2,3), v= (2,2,-1) and w = (4, 0, -4).
Find 5u 3v w.
2. Write v as a linear combination of
a. x = (1,2)
y = (1,-1) v = ( 3, 0)
b. x = ( 1, 1 , 2, 2) y = (2,3,5,6 )
z = ( -3, 1, -4, 2 ) v = (0, 5, 3, 0 )
3. Determine whether

QUIZ 2
1.3 dy + ydx =( 12 x ) y 4 dx
2.
dy
dx
+ y=
2
2
y cosx y sinx
3. The number of bacteria in a colony increases at a rate proportional to the number present . If
the number of bacteria doubles every 10 hours. How long will it take for the colony to t

MATH 005 QUIZ 2
1. If circular bar metal sheet is .65 cm thick and of 50 cm in diameter is melted and recast into
cylindrical bar with 8 cm diameter then the length of bar will be?
2. If there are 150 wood cylinders to be carved and each cylinder is 12 cm

QUIZ 1
1. Building bricks are closely stacked in a pile of 7 ft high, 36 ft. long and 12 ft
wide. If the brick are 2 ft by 4 ft by 3 ft. How many bricks in the pile ?
2. If there are 38 cu. Ft ft of coal to a ton . How many tons does a 19 ft. long , 6 cu.

QUIZ 1
1. If value of moment arm is zero, then torque produced will be
a. 1
b. 0
c. doubled
d. decreased
2. Magnitude of torque is represented by formula
a. lxF
b. l + F
c. l-F
d. l/F
3. According to system international unit of torque is
a. newton meter

QUIZ 2
1.
a.
b.
2.
Find the length of a vector
V = ( 2, 0 , -5, 5 )
V = ( 1, 2,2 )
Find the distance between two vectors
u= (1,1,2) and v = (-1, 3, 0)
u = (1, 2, 0) and v = (-1, 4, 1)
3. Given the vector v = (-1,3,0,4 ). Find u such that
a. u has the same

Solve the following Bernoullis Equation.
1. 2x3y = y(y2 + 3x2 )
2. ytanx sin2y = sin2 x + cos2 y
3. A body at a temperature of 0 0F is placed in a room temperature is kept at
100 0F. I after 10 minutes the temperature of the body is 25 0 F, Find (a) the t

Organization of Aspiring Students of Engineering Sciences
Faculty of Engineering
University of Santo Tomas
(Espaa, Manila)
TRIGONOMETRY REVIEWER (1stSem 2012-2013)
RADIAN - DEGREE CONVERSION
Degree -> Radian
Case I:2 = 360
= 180
So for every 1 , 180
GIV

Organization of Aspiring Students of Engineering Sciences
Faculty of Engineering
University of Santo Tomas
(Espaa, Manila)
MATH101 ALGEBRA REVIEWER (1st Sem 2012-2013)
Algebraic Expressions
Addition and Subtraction of Polynomials
-combining like terms
1st

QUIZ 2 MATH 007
1. Find two numbers whose sum is A , If the product of the square of one by the cube of the other is to
be maximum.
2. Find the volume of the largest box that can be made by cutting equal squares out of the corners of a
piece of cardboard

QUIZ 1
1. Building bricks are closely stacked in a pile of 7 ft high, 36 ft. long and 12 ft
wide. If the brick are 2 ft by 4 ft by 3 ft. How many bricks in the pile ?
2. If there are 38 cu. Ft ft of coal to a ton . How many tons does a 19 ft. long , 6 cu.

ECE 311 Electronic Devices and Circuits (1st Semester)
STABILITY FACTORS
1. Find the variation in Q-point for an
emitter-stabilized circuit with VBB = 3 V,
RB = 1 K, RE = 200 , RC = 1 K and VCC
= 20 V if changes from 50 to 200.
2. Given a voltage-divider

ECE 311 Electronic Devices and Circuits (1st Semester)
Network of Electronics Engineering Students
Semiconductor Materials
1.
An n-type Silicon sample is 3 mm long
and has a rectangular cross-section, 50 m by
100 m. The donor concentration at 300 K is 5 x

Linear Algebra
Vector Algebra
Matrix Algebra
Matrix Properties
MATH321-UST ECE engradc (c) 2009
1
Vectors
n Dimensional Vector
Row vector
v v1 v2 . vn
Where v1, v2, vn
are the components of vector v
MATH321-UST ECE engradc (c) 2009
Column vector
v1
v

Work and
Electric Potential
ECE 323 - Electromagnetics
Presented by:
Engr. Jefril M. Amboy, ECE
Introduction
Gausss law is a powerful and easy way of
determining the electric field, electric flux density and
electric flux. However, its use is limited to

Sorry late
When Hewlett-Packard started in 1939, it was difficult for them to find suppliers for their
component. So they decided to build and invest in many types of manufacturing. So they can
produce their own raw materials. And they also assemble it to

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Project Proposal
2016/01
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Dear Sir/Maam,
I am writing to enquire if you have any vacancies in your company for the position Software Developer or
any positions in the field of Computer Science/Information Technology. I enclosed my updated CV for
your information.
As you can see, I

UAAP 77 STREET DANCE
COMPETITION
1st UP STREETDANCE CLUB:
We have chosen the UP Streetdance Club as our 1 st place
winner because they gave the standout performance. The
flow of their routine was very clean. There was a significant
consistency of footwork

Rock and roll (often written as rock & roll or rock 'n' roll) is a genre of popular music that
originated and evolved in the United States during the late 1940s and early 1950s,[1][2] from a
combination of African-American genres such as blues, boogie woo

ZUBUCHON
One Mango Mall, General Maxilom
Ave, Cebu City, 6000
Contact:
032-
3452020/4225792
Email: a.felipetat@gmail.com
r.dan888@yahoo.com
Website: http:/zubuchon.com/
Project Proposal
2016/01
Globalization of
Local Business
CEBU CITY
(Globalization and

March 10, 2014
HR Department
Indra Philippines, Inc.
11-12th Floors, Tower 1,
Rockwell Business Center,
Ortigas Avenue 1600
Dear Sir/Madam,
Greetings!
I am an incoming 4th year B.S. Computer Science student from De La Salle University, and am seeking for

Melchor, Michelle Angela T.
COM- Financial Management
December 15, 2015
Radicals: Seeing Same Things in A New Form
Summary:
A radical is an algebraic expression in the form of
the index and
where a is called the radicand, n is
is the radical sign. It may

Division of
Polynomials
In dividing polynomials,
the following laws
of exponents are
used.
Quotient Rule:
Dividing a Polynomial by a
Multinomial:
When a polynomial in x,
denoted as P(x), is
divided by another
polynomial in x, D(x), the
result is the quoti