Real World Radical Formulas
Your Name
MAT222: Intermediate Algebra (AWP1234E)
Instructor Their Name
March 9, 2012

Real World Radical Formulas

Our assignment is to solve problem 103 on page 605, parts a and b, and problem 104 on page 606, both a and b, of our text book, Elementary and Intermediate Algebra. The assignment revolves around sail boat stability and speed. The formulas we will use can give you a good starting point in planning your craft and journey if used wisely. Knowing the restrictions of a ship’s stability and maximum speed is important in real world applications. It can be applied to the design of everyday sail boats and racing boats to ensure the safety of these craft. A formula along these lines can also be used for pleasure yachts, cruise ships, and cargo craft. Knowing the stability and speed of your craft is important to safety as you will know if the sea is rough if you can navigate it safely. This also applies to the aforementioned larger craft as they can decide whether to plot a course around heavy seas or proceed as originally scheduled. The speed of the craft can be used to determine how long it will take to reach your destination. Of course there will be many other variables that would need to be taken into account, like weight of cargo or anything else you may be carrying, but it will give you a good starting point for your journey.

Problem number 103 on page 605 is regarding a Tartan 4100 sail boat. It states that the capsize screening value should be less than two to be considered safe for sailing in the ocean. The formula given is C=4d-1/3b. C is the screening value, d is the displacement in pounds and b is the beam width in feet. The exponent of -1/3 means that the cube root of d will be taken and then the reciprocal of that number will be used in the multiplication. This will be shown in the steps below. a)

C = 4d-1/3bThe given radical formula.
C = 4(23,245)-1/3(13.5)Here is the formula...

...Running head: Functions of Management
Functions of Management
Joan A. Mendiola
MGT330 – Management, Theory, Practice and Application
Milton Wingert
June 20, 2011
Most businesses are guided through some type of philosophy that may increase in profit and to ensure the business success and growth according to (Bateman & Snell 2007). This paper will demonstrate the following four functions of management; planning, organizing, leading and controlling. These types of functions must be performed by the management teams depending on the level of industry, title or the amount of obligations or task within the company. The four types of functions will define the roles and responsibility of each team. This paper will explain those four functions and how they currently apply in my workplace.
First function is planning, this type defines as being able to set some type of goal or deciding the course of action, it is developing rules and regulations, developing plans on both the organizations and people that actually work in it as well as forecasting on what the...

...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" management function because all the management functions 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 that I work for, 7-Eleven, I, as a manager, set a goal to sell as many products as possible to increase the sales. I have to ensure that the customer knows about the products we are selling. My number one target is the customer and the way to achieve is through my employees, who can provide the outstanding customer service and thus, the customer will come back.
After goal setting and planning, the second major function of the management is 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)...

...Graphs and Function
What is the relation between the graphs and function and how was it applied in the real world?
Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first, Heathrow in London is sixth), about the advertising-dollar receivers in the United States (newspaper are first, radio is fourth) and about NCAA men’s golf team title winner (Yael is first, Houston is second). The function concept is very closely connected to graphs, and functions are the heart of mathematics.
I gathered my information from books especially algebra books and some are from the internet. I went to the library to look for some books and I borrowed some so I have many resources of information.
Many real-life relations between two quantities expressed in the form of equation are functions. To visualize these relationships, geometric figures called graphs are used. Modern technology provides us with graphing utilities needed to draw these graphs as well as enhance man’s knowledge of graphing techniques. Scientist and astronomers identify, visualize, and explore graphical patterns useful in analyzing data about the universe. Economist and businessmen draw mathematical models to find curves of best fit. Generally, the use of function and graphs is found in every scientist and...

...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...

...
Functions of Management Paper
Carlos Mendoza
MGT/330
Functions of Management Paper
Management is a strong title to have when running an operation that requires a lot of responsibilities from a certain group or individual. Every organization, regardless of size, has developed and implemented its own management concepts in order for it to run smoothly and accomplish the vision, goals and objectives that it set forth (Rane 2007). Management can be defined as human actions to assist the production of suitable outcomes from multiple resources or systems that can better the company. There are four basic functions of management that helps the organization run smoothly so that there is no miscommunication between management and employers.
Planning
Planning is the core area of all the functions of management. It is the foundation upon which the other three areas should be built by. Planning requires management to evaluate where the company is currently, and where it would like to be in the future. An appropriate course of action to attain the company's goals and objectives is determined and implemented. The planning process is ongoing and never stops for any reason. There are uncontrollable, external factors that constantly affect a company both positively and negatively. Depending on the circumstances, certain factors may cause a company to adjust its course of action in accomplishing its...

...Four Functions of Management
Jennifer Tsouloufas
MGT / 230 Management Theory and Practice
January 14, 2013
Mark Hardee
Abstract
This paper will attempt to define and describe the four functions of management, planning, organizing, leading, and controlling. It will also relate each function to observations within the organization that I work.
Planning
“Management in the process of working with people and resources to accomplish organizational goals” (Bateman, Snell, 2011, para. 1). A good balance of both will produce the most successful and efficient results. Although methods may change with the times, there are fundamentals that remain timelessly effective. The first function of planning is a strategy. Because this first step will lead the others, it is crucial to look at outlying factors that may conflict or affect the organization’s ultimate goal. Most of this information will be drawn from the mission statement of the company (Rothbauer-Wanish, 2009). At this stage, setting objectives, and following up on the execution of the plan are extremely critical.
I work for a large corporation that deals in all fields of apparel, accessories, and home goods. We are briefed quarterly in regard to upper managements “vision plan” for the season. We are usually given the numbers, profit, and loss for the previous season and challenged to improve using our strengths, creativity, and trend knowledge. Because...

...Management Four Functions Rosa L. Flores University of Phoenix Management: Theory, Practice, and Application/ Mgt 330 Kennett Baca December 20, 2008 Management Four Functions This paper will define the four basic functions of management; planning, organizing, leading, and controlling. This paper will also describe how these were applied in my worksplace. Management definitively has more functions than just the four mentioned above. The four that will be discussed in this paper are the four basic and most important ones. To understand better the four functions of management, one must define management first; Management means using limited resources of a company, in an effective and efficient way, to achieve goals, and increase productivity. Good management will be able to accomplish these goals, by including employees in these goals, and by guiding his or her decisions by the four functions of management (Kenneth Baca, 2008), (“Global Business Capabilities,” 2004). The following are the four functions of management, and their meaning. Planning ' Function of systematically making decisions about the goals and activities that an individual, a group, a work unit, or the overall organization will pursue (Kenneth Baca, 2008), (“Global Business Capabilities,” 2004). In simple words Planning is; deciding what are going to be these...