Mathematics Assignment final Essay Example | Topics and Well Written Essays - 750 words

Mathematics Assignment final - Essay Example (ii). Note that the resultant vector is 145 degrees from the positive x-axis, thus using the Sine Law, After finding the magnitude of the resultant vector, r, then Thus, v = -1.3705i + 0.9596j. (iii). Fore a period of one second, the boat moves 0.9596m upward and 1.3705 westward. Thus, starting from (600, -300). The position of the boat at time t will be (600-1.3705t, -300 + 0.9596t). (iv). When the boat is directly south of the position (200, 100), then its x coordinate must be equal to 200, so Thus, at time 291.8711, the boat is directly south of (200, 100) and its position is (200, -19.92). Therefore it is about (100-(-20)) m away from that position or it is 120m away. Question 2 (a) (i) The length of the arc is equal to rX where X is the radian measure of the angle that intercepted the arc. Hence, the length of the wire can be expressed as Manipulating the equation and solving for l, we will have (ii) Note that the area A can be expressed as the difference between the area of the two sectors with radius 6 and with radius (6-l) both intercepted by angle x. Thus In terms of x only, substituting the value of l, (iv) Notice that the formula for A includes a factor (1-x) in the numerator, if we select a value of x greater than 1, then this factor will become less than 0, so the area becomes less than 0 which is not sensible. Also, if we set x to be less than 0, we are assuming that the angle that intercept the arc PS is less than 0 which also doesn't make sense. (b) The graph of f follows. (ii). Using the trace facility as shown, As seen, the graph of f has its maximum value at (0.62, 5.30). (iii) The solution of the equation f(x)=3 is 0.25 and 0.89. (c) (i) The terms of the recurrence relation are...Also, by this method, at (320, 260), t = 280. Thus, the man can see the boat from time 200 sec to 280 sec or for the duration equal to 80 sec. (i) The graph above shows vb in blue, vc in yellow and the resultant vector v in black. Their magnitudes are given for a one-second span, i.e., vb has magnitude 2, vc has magnitude 0.5. Note that the direction of the line of the boat is N 40 degrees W, or equivalently, it is 130 degrees from the positive x-axis. We want to find the coordinate of the head of the vector, so (iv) Notice that the formula for A includes a factor (1-x) in the numerator, if we select a value of x greater than 1, then this factor will become less than 0, so the area becomes less than 0 which is not sensible. Also, if we set x to be less than 0, we are assuming that the angle that intercept the arc PS is less than 0 which also doesn't make sense. (iv). Note that the maximum of the function is given by the function value when x is --/3, therefore, the maximum value of f is 3.067. However, when x is equal to 2/3, the value of f is not the minimum. If we graph f, we will notice that at x approaches negative infinity, the value of y decreases without bounds, thus f has a minimum when x is equal to -.

Why did Communism collapse so suddenly in 1991 Explain your answer Essay

Why did Communism collapse so suddenly in 1991 Explain your answer - Essay Example Communism seeks to establish a classless society for all. It endeavors to erase all differences of class and creed and bring all the citizens at the same forefront with the government leading them all. However, the communist theory has failed miserably in the past. It is believed that the communist theory includes some connotations that are bound to fail. Capitalists mock the communist theory by saying that if there will always be the poor then there will always be the rich. There would be classification and divisions with the dos and donts, and any effort to create a society that does not have classes, this side of heaven, mainly by means of the aggressive and godless means of Communism, is bound to lead towards frustration and failure1. Before moving on to discussing why this theory failed so miserably and what was inherently wrong with the idea of having a classless state with absolute government power, one needs to know what lead to this concept. The concept of communism belongs to the Marxist school of thought. Since the late 19th century the ideas of socialism were quite popular among the working class citizens around the world and they began to show their true color when in the early 20th century several countries formed their own Communist parties. While the ruling classes reprimanded the concept of communism or socialism since it brought their power at stake, it was very much appreciated by the working class. In the interwar period, however, since different classes began to fight for or against communism, its image tarnished. It wasn’t all good and now everyone knew that. The socialist activists stepped up their campaigns against their oppressor regimes and resorted to violence to achieve their goals2 . These ruthless activities, instead of promoting communism amongst the masses, lead to previously pro-communist populace to lose their interest in the movement. Therefore the number of those who favored communism

Business career of Sam Walton Research Paper Example | Topics and Well Written Essays - 500 words

Business career of Sam Walton - Research Paper Example In the same year, Walton paid $25,000 to the owners of the Ben Franklin stores for the rights to franchise the store. According to Tedlow (2001) Walton was inexperienced at running a business and he did not know what to do with a variety store. In fact, the only experience Walton had was from working retail at J.C. Penny’s (Brooks, 2012). Walton had paid too much for the store and was also paying too much for rent. Both of these issues could have meant failure for Walton but he did not fail. The first step for him was to go to a two week training program that was provided for franchise owners. Next, he studied his competition that happened to be across the street from him, and he read retail publications (Tedlow, 2001). He soon learned how to run the business, learned all the rules, and then found ways to break the rules that did not make sense to him. Walton was inspired by what he learned in retail and wanted something bigger. He also wanted to provide more value for his customers. He decided it was time to open a larger store, which became the first Walmart (Walton, 2012). Walton had backers until he decided to cut prices, and his backers felt this was not a good idea. He started Walmart with his own funds (Brooks, 2012). One of the reasons that Walton was successful was because in the early days, he cared about his employees and his customers. He realized that if he had lower prices than his competitors, he would have satisfied customers. He also realized if he treated his employees well and taught them how to take care of the customers, he would have successful employees and customers (Walton, 2012). By 1967, Walton owned 24 stores and was making $12.7 million in sales (Duke, 2012). In 1969, Walton incorporated Walmart and by 1970 they went public (Duke, 2012). Walton attributed the success of Walmart to his employees who were the ones who worked directly with the customers (Walton, 2012). In 1971, Walton opened his

Gun control Research Paper Example | Topics and Well Written Essays - 750 words

Gun control - Research Paper Example Many also contend that the right to own handguns, specifically, has turned out to be a detriment to public safety which is opposed to the intentions of the Founding Fathers. According to The Second Amendment â€Å"A well regulated militia, being necessary to the security of a free state, the right of the people to keep and bear arms, shall not be infringed† (â€Å"The Constitution†, 2006). Those who are against limited forms of gun control refuse to consider the important word â€Å"militia† within this Amendment. â€Å"The Second Amendment was intended solely to guard against suppression of state militias by the central government and therefore restricted in scope by that intent; or does not guarantee a right that is absolute, but one that can be limited by reasonable requirements† (Krouse, 2011). Advocates of gun control, by and large, desire the weapon that harms the most people, handguns, to not be legal anymore but are agreeable with compromising on s hotguns and rifles. In this way, the constitutionally guaranteed right to keep and bear arms is protected but so are the many thousands of people that are killed by handguns each year. When reading the actual wording of the Second Amendment it is clear that armed militias alone have the right to bear arms. However, given the present passionate emotions tied to this topic and the allure of guns for citizens of the country, a compromise can be the only solution. Philosophies are formed by a people’s innermost values, refined by many years of thought and fashioned by life’s many experiences. Therefore a philosophical debate causes people to be more emotional than any other type. Political philosophies are tightly and vigorously held and in politically tumultuous times, such as today in a post 9-11 world, are especially apparent. The war in Afghanistan, gay marriage, the Occupy Movement, global warming, health care, abortion, health care, stem cell research, the loss of ci vil liberties and numerous other politically inspiring subjects have provoked emotional philosophical battles. The right to own firearms ranks highly among these political philosophies and any attempt to outlaw any type of gun always make this point of view even stronger. To make the argument for upholding the largely voiced ‘right’ to keep and bear arms by permitting shotguns and rifles of a particular length while prohibiting assault rifles and handguns seems the rational answer and a battle that may possibly be won. This approach has proven effectual in other countries such as Japan and many European countries. Those nations that have ban handguns experience a much lower murder rate than America. The idea that ready access to handguns has a major impact on the murder rates in the U.S. is supported by overwhelming evidence. Approximately two thirds of all murders that occur in the U.S. involve a handgun. Yet, restricting handgun use by legal methods has proven to have little impact on homicide rates. This is not a surprising revelation given that most criminals do not get their guns from licensed sources (Cramer/Kopel, 2011). Each year, at least 3000 American children are killed by the use of handguns. America’s children are much more likely to die via handgun use than the children of all other developed countries combined. Compare the number of American children killed with England where fewer than two dozen minors are killed by handguns in a given year. In Japan, the number is

Business career of Sam Walton Research Paper Example | Topics and Well Written Essays - 500 words

Business career of Sam Walton - Research Paper Example In the same year, Walton paid $25,000 to the owners of the Ben Franklin stores for the rights to franchise the store. According to Tedlow (2001) Walton was inexperienced at running a business and he did not know what to do with a variety store. In fact, the only experience Walton had was from working retail at J.C. Penny’s (Brooks, 2012). Walton had paid too much for the store and was also paying too much for rent. Both of these issues could have meant failure for Walton but he did not fail. The first step for him was to go to a two week training program that was provided for franchise owners. Next, he studied his competition that happened to be across the street from him, and he read retail publications (Tedlow, 2001). He soon learned how to run the business, learned all the rules, and then found ways to break the rules that did not make sense to him. Walton was inspired by what he learned in retail and wanted something bigger. He also wanted to provide more value for his customers. He decided it was time to open a larger store, which became the first Walmart (Walton, 2012). Walton had backers until he decided to cut prices, and his backers felt this was not a good idea. He started Walmart with his own funds (Brooks, 2012). One of the reasons that Walton was successful was because in the early days, he cared about his employees and his customers. He realized that if he had lower prices than his competitors, he would have satisfied customers. He also realized if he treated his employees well and taught them how to take care of the customers, he would have successful employees and customers (Walton, 2012). By 1967, Walton owned 24 stores and was making $12.7 million in sales (Duke, 2012). In 1969, Walton incorporated Walmart and by 1970 they went public (Duke, 2012). Walton attributed the success of Walmart to his employees who were the ones who worked directly with the customers (Walton, 2012). In 1971, Walton opened his

The Heabas Corpus and Its Evolution Essay Example for Free

The Heabas Corpus and Its Evolution Essay An ancient law writ which detains aliens of war in a detention facility by the Supreme Court’s expanded jurisdiction leaves those without knowledge of the Habeas Corpus Act means to understand what the act entitles, its originality, and the evolution. The word habeas corpus in the Latin language means â€Å"you have the body†, which represents an important right granted to individuals in America (Kelly, M.). This is a judicial mandate requiring that a prisoner be brought before the court to determine whether the government has the right to continue detaining them in a detention facility (Kelly, M. ). The person or persons’ being held can petition the court for a writ of habeas corpus if he or she objects to the imprisonment. The petition must explain to the court the imprisonment order is an order of wrongful imprisonment. The right of habeas corpus is the constitutionally bestowed right of a person to present evidence before a court that he or she has been wrongfully accused (Kelly, M.). â€Å"The right of writs of habeas corpus are granted in Article I, Section 9, clause 2 of the Constitution, which states, The Privilege of the Writ of Habeas Corpus shall not be suspended, unless when in Cases of Rebellion or Invasion the public Safety may require it.†(The United States Constitution, 2004) The establishment of the habeas corpus is not certainly clear, but it seems to date back to Magna Carta in 1215 (Robertson, J.D.). According to Robertson, its principle effect was achieved in the Middle Ages by various wits, of which gave similar effect as the modern writ (Robertson, J.D.). The habeas corpus was originally established as a prerogative writ of the King and his courts, now as time passes, the habeas corpus has evolved into a writ petitioned by a person imprisoned acting in his or her own interest (Robertson, J.D.). After reading the article by Robertson it was made clear, during Magna Carta time, habeas corpus was referenced to â€Å"the law of the land†(Robertson, J.D.). With the exact quote: â€Å"No free man shall be taken or imprisoned of disseized or exiled or in any way destroyed except by the lawful judgment of their peers or by the law of the land† (Robertson, J.D.). Shortly after the start of the American War President Abraham Lincoln ordered the suspension of the constitutionally protected right to writs of habeas corpus in 1861(Langley, R.). The reason being was the arrest of John Merryman by the Union troops, but the Chief of Justice of the Supreme Court Roger B. Taney decline Lincoln’s order and issued a writ of habeas corpus with orders for the U.S. Military to bring Merryman before the Supreme Court (Langley, R.). The Chief Justice Taney declared Lincoln’s suspension of the habeas corpus unconstitutional, after Lincoln and the military refuse to abide by the order of the Chief Justice (Langley, R.). On September 24, 1862, President Lincoln issued a proclamation suspending the right to writs of habeas corpus nationwide (Langley, R.). Which states; â€Å"Whereas, it has become necessary to call into service not only volunteers but also portions of the militia of the States by draft in order to suppress the insurrection existing in the United States, and disloyal persons are not adequately restrained by the ordinary processes of law from hindering this measure and from giving aid and comfort in various ways to the insurrection;† â€Å"Now, therefore, be it ordered, first, that during the existing insurrection and as a necessary measure for suppressing the same, all Rebels and Insurgents, their aiders and abettors within the United States, and all persons discouraging volunteer enlistments, resisting militia drafts, or guilty of any disloyal practice, affording aid and comfort to Rebels against the authority of United States, shall be subject to martial law and liable to trial and punishment by Courts Martial or Military Commission:† â€Å"Second. That the Writ of Habeas Corpus is suspended in respect to all persons arrested, or who are now, or hereafter during the rebellion shall be, imprisoned in any fort, camp, arsenal, military prison, or other place of confinement by any military authority of by the sentence of any Court Martial or Military Commission.†(Langley, R.) As time moves forward to the year of 2006, President Bush signed a law suspending the right of habeas corpus to persons deemed by the United States to be â€Å"enemy combatant† in the Global War on Terror (Langley, R.). This action caused a lot of confusion and criticism because the law did not specify who in the United States would be considered an â€Å"enemy combatant† (Langley, R.). With this action by the Bush administration, the terrorists and other combatants are not covered by the Geneva Conventions due the fact these people are not soldiers and not covered by the U.S. Bill of Rights because they are not considered citizens (Langley, R.). In 2008, after the Boumediene v. Bush, a case which was held in the Supreme Court in regards to five young men were placed in a detention facility in Guantanamo Bay, Cuba in 2002, the Supreme Court ruled that any enemy combatants held in the U.S. territory are entitled to the writ of Habeas Corpus as stated in the United States Constitution, Article 1, Section 9 (Newman, Gerald L.). The evolution of the Habeas Corpus Act was and is intention of ones’ civil rights and liberties. In violation of this act of detaining a person for unjustifiable cause is stripping this person of their liberties, but as time go by there will be more debates to justify this act. As for now, the Habeas Corpus Act is in effect and is very well understood. It can be well said, any one person detained, can well be heard in the case of an unlawful act by the detainee. References Kelly, Martin Definition of Habeas Corpus Retrieved from; americanhistory.about.com The United States Constitution (2004, September) Retrieved from; www.house.gov/house/constitution/Constitution.html Habeas Corpus the Most Extraordinary Writ Retrieved from; www.habeascorpus.net/hcwrit.html Langley, Robert Lincoln Issues Proclamation Suspending the Habeas Corpus Rights Retrieved from; www.usgovinfo.about.com/od/historic/documents/a/Lincolnhabeas.html Newman, Gerald L. The Habeas Corpus Suspension Clause After Boumediene V. Bush Retrieved from; http: //web.ebscohost.com

Study On The Waterfall Model Information Technology Essay

Study On The Waterfall Model Information Technology Essay The waterfall model, documented in 1970 by Royce was the first public documented life cycle model. The waterfall model is a popular version of the systems development life cycle model for software engineering. The waterfall model describes a development method that is linear and sequential. Waterfall development has distinct goals for each phase of development. Because the life cycle steps are described in very general terms, the models are adaptable and their implementation details will vary among different organizations. The spiral model is the most general. There is various software development approaches defined and designed which are used during development process of software, these approaches are also referred as Software Development Process Models. Each process model follows a particular life cycle in order to ensure success in process of software development. One such process used in Software Development is The Waterfall Model. Waterfall model was first Process Model to be introduced and followed widely in Software Engineering to ensure success of the project. In The Waterfall model, the whole process of software development is divided into separate process phases. The phases in Waterfall model are: Requirement Specifications phase, Software Design, Implementation and Testing Maintenance. All these phases are cascaded to each other so that second phase is started as and when defined set of goals are achieved for first phase and it is signed off, so the name Waterfall Model. The real flow of waterfall model The stages of The Waterfall Model are: Requirement Analysis Definition: Requirements are set of functionalities and constraints that the end-user (who will be using the system) expects from the system. The requirements are gathered from the end-user by consultation, these requirements are analyzed for their validity and the possibility of incorporating the requirements in the system to be development is also studied. Finally, a Requirement Specification document is created which serves the purpose of guideline for the next phase of the model. System Software Design: Before a starting for actual coding, it is highly important to understand what we are going to create and what it should look like? The requirement specifications from first phase are studied in this phase and system design is prepared. System Design helps in specifying hardware and system requirements and also helps in defining overall system architecture. The system design specifications serve as input for the next phase of the model. Implementation Unit Testing: On receiving system design documents, the work is divided in modules/units and actual coding is started. The system is first developed in small programs called units, which are integrated in the next phase. Each unit is developed and tested for its functionality; this is referred to as Unit Testing. Unit testing mainly verifies if the modules/units meet their specifications. Integration System Testing: As specified above, the system is first divided in units which are developed and tested for their functionalities. These units are integrated into a complete system during Integration phase and tested to check if all modules/units coordinate between each other and the system as a whole behaves as per the specifications. After successfully testing the software, it is delivered to the customer. Operations Maintenance: This phase of The Waterfall Model is virtually never ending phase (Very long). Generally, problems with the system developed (which are not found during the development life cycle) come up after its practical use starts, so the issues related to the system are solved after deployment of the system. Not all the problems come in picture directly but they arise time to time and needs to be solved; hence this process is referred as Maintenance. There are some advantages of the Waterfall Model. The advantage of waterfall development is that it allows for departmentalization and managerial control. A schedule can be set with deadlines for each stage of development and a product can proceed through the development process like a car in a carwash, and theoretically, be delivered on time. Development moves from concept, through design, implementation, testing, installation, troubleshooting, and ends up at operation and maintenance. There are some disadvantages of the Waterfall Model. As it is very important to gather all possible requirements during the requirement gathering and analysis phase in order to properly design the system, not all requirements are received at once, the requirements from customer goes on getting added to the list even after the end of Requirement Gathering and Analysis phase, this affects the system development process and its success in negative aspects. The problems with one phase are never solved completely during that phase and in fact many problems regarding a particular phase arise after the phase is signed off, these results in badly structured system as not all the problems (related to a phase) are solved during the same phase. The project is not partitioned in phases in flexible way. As the requirements of the customer goes on getting added to the list, not all the requirements are fulfilled, this results in development of almost unusable system. These requirements are then met in newer version of the system; this increases the cost of system development.