Management Functions
Being here at the University of Phoenix for only five weeks, and completing my first class, I am anxious and excited to start this class on management. Majoring in business management, I hope to learn an abundance of information that will hopefully, help me in my future careers. Management is a very important thing to have in every day life, whether management be involved in work, family, or social environments. Management has four functions, planning, organizing, leading, and controlling. These four functions are very important to have and master when managing. Each plays specific roles, but rely on one another. Planning, organizing, leading, and controlling relate to my organizational skills dearly, I use them in my everyday life.

The dictionary definition of planning is a way of acting, doing, proceeding, and making which is all made in advance, planned (Planning 2008). Planning is used in many important daily activities, especially with parents. Every day planning may consist of vacations, dinners, and doctor appointments; while on the other hand business planning consist of different activities. Some examples of business planning are analyzing current situations, anticipating the future, determining objectives, and choosing or deciding what the best business strategies are (Bateman & Snell, 2007). Planning is second nature to most us humans. Humans plan without knowing it, but when revolving in a business world you have to be able to make good decisions and plan for the best outcomes because usually no second chance is given. Being a full time student and employee planning is very important. I usually make plans in a week in advance. This gives me time to move my plans around or even fit more plans in. Without planning, my life would be hectic, I rely on it greatly, and it enables me to be more organized. While taking this business class, I will hopefully, engage and learn a great deal of the different aspects of planning. Organizing...

...Transfer Function
General with order, linear, time invariant differential equation
an dn(t)dtn+ an-1 dn-1c(t)dtn-1+…a0ct= bmdmrtdtm+bm-1dm-1rtdtm-1+…b0r(t)
Where: c (t) is the output
r (t) I is the input
By taking the Laplace transform of both sides
ansn cs+ an-1sn-1 cs+…a0cs+initial condition involving c(t)
=bmsmRt+bm-1sm-1Rt+…b0Rs+initial condition involving r(t)
If we assume that all initial condition are zero
ansn+ an-1sn-1….+…a0cs=bmsm+bm-1sm-1+…b0r(s)
Rs-→ bmsm+bm-1sm-1+…b0ansn+ an-1sn-1….+…a0--→c(s)
Gs=c(s)r(s)=bmsm+bm-1sm-1+…b0ansn+ an-1sn-1….+…a0
Transfer function ratio of output over input
Laplace Transfer Theorem
1. L f(t)=Fs=0∞f(t)e-stdt
2. L Kf(t)=KF(s)
3. L f1t+f2t=F1s+F2s superposition theorem
4. L e-atft=Fs+a complex shifting theorem
5. L ft-a=e-as F(s) real shifting theorem
6. L fat= 1aFsa similarity theorem
7. L dfatdt=sFs-f(0) derivative theorem
8. L d2fatdt2=s2Fs-sf'0-f(0)
multiple derivative theorem
9. L 0τfτdτ=F(s)s integral theorem
Example
Find the transfer function represented by
* d(t)dt=2ct=r(t)
Gs=c(s)r(s)
First find the Laplace transform
L d(t)dt+2 L ct=L r(t)
scs+2cs=r(s)
s+2cs=r(s)
c(s)r(s)=1s+2 To find Gt the solve for inverse Laplace transform
Find the transfer function Gs=Y(s)u(s)
L d2Ytdt2+ L dYtdt+ L Yt=2 L dutdt+L ut
s2Ys+sYs+Ys=2s us+u(s)...

...CHAPTER 4 : FUNCTIONS AND THEIR GRAPHS
4.1 Definition of Function
A function from one set X to another set Y is a rule that assigns each element in X to one element in Y.
4.1.1 Notation
If f denotes a function from X to Y, we write
4.1.2 Domain and range
X is known as the domain of f and Y the range of f. (Note that domain and range are sets.)
4.1.3 Object and image
If and , then x and y are known respectively as the objects and images of f. We can write
, , .
We can represent a function in its general form, that is
f(x) = y.
Example 4.1
a. Given that , find f(0), f(1) and f(2).
Example 4.2
a. Given that , find the possible values of a such that
(a) f(a) = 4, (b) f(a) = a.
Solution
a. Given that , find f(0), f(1) and f(2).
b. Given that , find the possible values of a such that
(a) f(a) = 4, (b) f(a) = a.
(a)
(b)
4.2 Graphs of Functions
An equation in x and y defines a function y = f(x) if for each value of x there is only one value
of y.
Example:
y = 3x +1, , .
The graph of a function in the x-y plane is the set of all points (x, y) where x is the
domain of f and y is the range of f.
Example
Figure 1 below shows the graph of a linear function, the square root function and a general function.
y = f(x)
y = x...

...The functions of Public Relations (PR) can be grouped into two loose categories: organizational and societal. Many viewpoints of the functions fall into both categories and are not mutually limited. The scope of organizational functions of PR involves actions concerning the company, and societal functions of PR interests' activities regarding society. Organizational functions of PR are activities that interact with or affect organizations while societal functions of PR have to do with actions that connect to the public. Communications management, media, government affairs, publicity, investor relations, community relations, consumer relations, and employee relations are organizational functions while marketing communications, consumer relations, public affairs and issues management plus social responsibility are societal functions. An industry must develop a positive image to the public and within the industry. (Sitel 2006) To present this image successfully, a corporation must take need action in both categories.
Organizaitonal Functions
Organizational functions are just as the title would imply, in-house. Farlex defines communications management as "the systematic planning, implementing, monitoring, and revision of all the channels of communication within an organization and between...

...There are several functions of pubic relations (PR). Public relations surrounds us each day whether we are aware of it or not. The purpose of this paper is to explain the organizational and societal functions of public relations. Of the list provided two functions will be chosen that are considered to be organizational and societal functions of public relations. An explanation will be provided as to why the selected choices were categorized as organizational or as societal. Similarities and differences that exist between the organizational and societal functions will be provided.
Organizational functions of PR entail activities that are related to an organization. Public relations is not only promoting a positive image to the public. Public relations also involves promoting a positive image within the organization. One of the main functions of organizational public relations is to change the mind of a specific audience and promote goodwill of the organization. Organization PR involves understanding the concerns and attitudes of its publics. Organization publics consist of the community, employees within the organization and its customers. Once an organization understands it publics, that organization must be develop and maintain a working relationship.
Whereas organizational functions of PR is more related to an organization, societal PR seems to more related...

...between the plane and the radar station:
s(d) = (miles)
c) Use composition to express s at the funtion of t
Since d(t) = 350.t
Then s(d) =
5) Exercise 26
A variable star is one whose brightness alternately increases and decreases. For the most visible variable star, Delta Cephei, the time between periods of maximum brightness is 5.4days, the average brightness (or magnitude) of the star is 4.0, and its brightness varies by ± 0.35 magnitude. Find a function that models the brightness of Delta Cephei as a function of time.
A sine funtion is suitable since the brightness alternately increase and decrease.
f(x) = a.sin(tx) + b
Since the average brightness is 4
We need to shift the f(x) curve up 4 units => b = 4
f(x) = a.sin(tx) + 4
It’s brightness varies by ± 0.35
f(x) = 0.35.sin(tx) + 4
Since the periot of Delta Cephei is 5.4 days => the funtion f(x) return to it start point => 5.4t = 2
Or t = =
f(x) = 0.35*sin( x) + 4
Part 1.5
6) Exercise 8
Make a rough sketch of the graph of the function. Do not
use a calculator. Just use the graphs given in Figures 3 and 12 and,
if necessary, the transformations of Section 1.3
y =
Domain x R
y =
if x > 3 => y >1
x = 3 => y =1
x 0...

...
Experiment 3: Projectile Range Versus Angle
EQUIPMENT NEEDED
– Mini Launcher and steel ball
– Plumb bob
– Measuring tape or meter stick
–
Carbon paper
– Graph paper
–
White paper
Purpose
The purpose of this experiment is to find how the range of the ball depends on the angle at which it is launched. The angle that gives the greatest range is determined for two cases: launching on level ground and launching off a table.
Theory
The range is the horizontal distance, x, between the muzzle of the Launcher and the place where the ball lands. The range is given by x = (v0cosθ)t, where v0 is the initial speed of the ball as it leaves the muzzle, θ is the angle of inclination above horizon-tal, and t is the time of flight. See figure 3.1.
v0
θ
x
Figure 3.1: Shooting on a level surface
For the case in which the ball lands at the same elevation from which it was launched, the time of flight of the ball will be twice the time it takes the ball the reach the peak of its trajectory. At the peak, the vertical velocity is zero so
vy = 0 = v0 sinq - gt peak
Therefore, solving for the time gives the total time of flight as t = 2t
peak
= 2
v0 sinθ
.
g
For the case in which the ball is launched at an angle from a table onto the floor, (See Figure 3.2) the time of flight is found using the equation for the vertical motion:
y = y0 + v0 sinq t - 12 gt2
v0
θ
y0
x
Figure 3.2: Shooting off the table...

...Management is the process of coordinating people and other resources to achieve the goals of the organization. One key characteristic is the ability to empower rather than order employees to do their jobs. Effective empowerment depends on the leader and the employees building mutual respect, trust, and commitment. Leadership also possesses the ability to communicate by fostering an ongoing dialogue rather than issuing mandates. Now the leadership and management are defined, we can move on to describe management in terms of its four functions. These functions are identified as planning, organizing, leading, and controlling. How well managers perform these key functions determines whether a business is successful.
Planning, in its simplest form, is establishing organizational goals and objectives and deciding how to accomplish them. It is the primary function, often referred as the "first" managementfunction because all the managementfunctions depend on planning. Managers engage in planning by determining where the firm should be going and how best to get there. Once goals and objectives have been set for the organization, managers must develop plans (or actions) for achieving them. A plan could be defined as an outline of the actions by which the organization intends to accomplish its goals and objectives. The company...