P LANNING AND
DECISION-MAKING
Essentials of Planning and Decision-Making
P lanning
The most fundame ntal and bas ic of all
management function
Involves a ratio nal appro ac h in selecting and
achieving goals and objectives and d e c iding on
the a c tio n
CALCULUS 3
1ST Quarter
AY 2013-2014
SEQUENCES AND SERIES
Sequence
A sequence is a succession of numbers formed
according to some fixed rule.
Example: 1, 4, 9, 16, 25, having the rule that
the nth term is given by n2.
Series
A series is the indicated sum o
Physical and chemical
Sources
Supply
Demand
Water
Laws and Regulations
Treatment
Physical and chemical
Sources
Supply
Demand
Laws
Treatment
Water's Chemical Properties
The water's chemical description is H2O. As the diagram shows, there is one atom
of oxy
Analysis
Circular motion is a movement of an object along the circumference of
a circle or rotation along a circular path. It can be uniform, with constant angular
rate of rotation (and constant speed), or non-uniform with a changing rate of
rotation. But
Analysis
In classical physics, Newtons three laws of motion can be considered to be
one of the most important laws especially when it comes to mechanics. The first
one is the law of inertia. It states that every object in a state of uniform motion
tends t
INTRODUCTION
Water is essential to life. About 65
70%ofthehumanbodycompositioniswater,
which makes water a primary ingredient in
survival. Although 71% of the earths
surface is water, humans can only drink
freshwaterwhichisonly1%oftheearths
composition.
ANALYSIS
The experiment done explains the theory of Kinematics. Kinematics is a branch of
mechanics that consists of the study of motion without considering the forces that
cause or develop the motion. The experiment is divided into 3 parts to explain the
ANALYSIS
Experiment 103 deals with projectile motion. To illustrate projectiles, these can be
seen when a cannonball is shot from a cannon, when a stone is thrown into the air,
a ball rolling off the edge of a table. Projectile motion is a special case of
ANALYSIS
This will be the last topic for this term and it is all about the Uniform
Circular Motion.
Which moves faster on a merry-go-round, a horse near the outside rail or
one near the inside rail? Why dont the riders fall out of the rotating carnival ri
ANALYSIS
Physics is about the study of motion and forces and now we will proceed to
Friction. In our elementary physics, what we know about friction is that it is a
force that causes a moving object to slow down when it is touching another object.
Frictio
ANALYSIS
We all know that Physics is not just concerned about Forces and Motions. In our
high school Physics we are thought and introduced about Newtons Laws of
Motion.
The relation between a force and the acceleration it causes was first understood by
Is
ANALYSIS
Force table is a common physics lab apparatus that has three or more cables
attached to the center ring, each cables has its hanger and in this hanger is where
you will place the weights for trial and error to obtain equilibrium.
Equilibrium in e
ANALYSIS
I.
Determining the Initial Velocity of the Projectile
A ball launched horizontally from a table of height h has no initial velocity in
the vertical direction, so the ball should take the same amount of time to reach
the ground as a ball that drop
ANALYSIS
In the experiment, Newtons Second Law of Motion was explored, and in
particular the relationship between force, mass and acceleration. Changes in the
motion of an object are the result of changes in the forces acting on the object.
Newtons First
ANALYSIS
Force is a quantitative description of the interaction between two physical
bodies, such as an object and its environment. A force is a path or pull upon an
object resulting from the objects interaction with another object. Whenever there
is an i
GRAPH
Part A. Determination of the Coefficient of Friction
Determination of the Coefficient of Friction
35
30
25
20
Weight of the pan + Weight Added
Wpan + Weight Added
Linear (Wpan + Weight Added)
15
10
5
0
120 130 140 150 160 170 180 190 200 210
Weight
Analysis
This experiment is concerned with the force necessary to keep an object
moving in an instant circular path. An object moving in a circular path is
continuously being accelerated since it is continuously changing direction. This
means that there i
ANALYSIS
Physics is often defined as the study of matter and energy and their interactions. It
is possible to study the motion of objects without being concerned with the forces
that cause the motion. But ultimately, physicists want to discover the causes
THE TRAGEDY OF
KING LEAR
THE TRAGEDY OF KING
LEAR
ACT 1
King Lear s palace, Britain. The Earl of Gloucester and the
Earl of Kent discuss how Gloucester loves his two sons
equally: Edmund (the elder), gotten illegitimately; and
Edgar (of questionable paren
Chapter 3
COST, VOLUME and
PROFIT
RELATIONSHIP
Cost Volume Profit analysis (CVP analysis)
- deals with how costs and profits change with a change
in volume. It analyzes the effects on profits of changes in such
factors as:
Prices of products
Volume or lev
CALCULUS 3
1ST Quarter
AY 2013-2014
VECTORS IN THE PLANE
Scalar quantity a physical quantity
such as length, temperature, or mass
that can be specified in terms of a
single real number, its magnitude.
Vector quantity (or simply vector) a
physical quantity
UNIT VECTOR
Addition/subtraction by unit vector
Vector Multiplication
Unit Vectors
y
j
z
k
i
x
It is the sum of the product of the respective components
Applying Distributive Property
KINEMATICS OF ROTATION
KINEMATICS
where:
angular displacement (rad)
(m)
angular velocity (rad/s)
angular acceleration (rad/s2)
(m/s2)
s
or s = r
=
r
ds
d
=r
dt
dt
v = r
dv
d
=r
dt
dt
a = r
s linear displacement
v linear speed (m/s)
a linear acceleratio
MOMENTUM(p)
MOMENTUM(
Recall: N2LM
a
F
dv
F = ma ; a =
dt
dv d ( m v )
F = m dt = dt
m v Momentum (p), whose
direction is the same as
the bodys velocity.
dp
F = dt
The net force acting
on a particle equals
the time rate of
change momentum
of the parti
WORK(W)
WORK(W)
The work done by a constant
force acting in the same
direction as the
displacement.
W = Fs (N-m or Joules)
The work done by a constant
force acting at an angle to the
displacement.
W = Fscos
WORK(W)
WORK(W)
WORK(W)
WORK(W)
WORK(W)
WORK(W)
KINEMATICS
Kinematics
a branch of mechanics concerned
with describing the motion of objects
using words, diagrams, numbers,
graphs, and equations.
used to relate displacement, velocity,
acceleration and time without
reference to the cause motion.
Descri
ELASTICITY
ELASTICITY
Hookes Law:
Within proportional limit stress is proportional to
strain. The proportionality is called Elastic Modulus
Stress
= Elastic
Modulus
Strain
Stress, S describes the strength of the force causing
the deformation, measured in
FLUID STATICS
FLUID
- Study of fluids(liquid and gas) at rest.
Properties:
1. Mass Density, mass per unit volume
m dm
= =
V dV
2. Weight Density, D weight per unit volume
W dW dm
D=
=
=
g
V
dV dV
D = g
3. Specific Gravity, S.G. or Relative Density, r rati
FLUID DYNAMICS
FLUID
- Study of fluids(liquid and gas) in motion and its cause.
Kinds of Fluid
Flow:
1. Steady Flow if the overall
flow pattern does not
change in time.
2. Laminar Flow adjacent
layers of fluid slide
smoothly past each other
and the flow i
Engineering Equations
SI and English Units for Properties
Mass, g, kg, lbm, slug
Length, m, km, ft, mile
Area, m2, ft2
Volume, m3, ft3
Time, s, hr
Temperature, C, K = C + 273.15, F, R = F + 459.67
Velocity or speed, m/s, km/hr, ft/s, mph
Acceleration, m/s