American CEOs Research Paper Example | Topics and Well Written Essays - 1500 words

American CEOs - Research Paper Example This is on the grounds that people in general is worried that out of line CEO pay can prompt lopsided appropriation of riches. This paper contends that over the top CEO pay can bring about denying the investors, power the laborers to acknowledge diminished compensation and lead to an irregularity which could be unreasonable over the long haul for the association just as for the investors. The various structures wherein CEOs were repaid have developed throughout the years. During the 1980s the CEO pay involved for the most part of money compensation and reward with just 30% CEOs being conceded the investment opportunities. By 1994 alternatives turned into a significant part involving 70% of the CEOs getting new choice awards (Core, Guay and Larcker, 2003). Investment opportunities in this way turned into a significant segment of the CEO value motivating forces. Speculations have been refered to clarify the CEO pay bundles however as indicated by Otten (2208) the official compensation bundles are set by â€Å"simple† financial aspects. It is frequently accepted that the CEOs should be made up for the dangers they take and thus the market powers set the bundles. Qualified experts are not many and subsequently important. They must be offered impetuses as they take on extra dangers for esteem expanding choices, it is contended. Remuneration takes different structures, for example, rewards, offers and alternative awards. As such, Otten contends, they are paid by execution and dependent on experience and position. In the event that CEO pay could help firm execution, at that point unevenness would not happen yet there is no help in exact examinations that there is a connection between corporate budgetary execution and official compensation. Educator Kaplan contends that CEOs are come up short on and their remuneration depends on the stock execution of the organization. Walsh (2008) counters this expressing it is hard to find out whether the CEO has been paid for his own presentation or for his ancestors. Additionally, the stock costs are consistently industry-balanced and don't mirror the real execution of the organization. Since remuneration depends on level of status and capabilities, the CEOs bring home significantly more cash than a normal American specialist (Walsh, 2008). The unbalanced dispersion of riches is apparent from the way that in 1980 the CEO made multiple times the normal worker’s compensation. This proportion expanded to 107 of every 1990 and 525 out of 2000. The main 1000 CEOs brought home 7% of their deals in 2005 which all in all adds up to Bolivia’s GDP, says Walsh. The Director pay at Enron was $380,619 in real money and stock, which was the seventh most noteworthy executive compensation around then (Brick, Palmon and Wald, 2006). Locke (2008) battles that the normal workers’ pay balanced for expansion expanded by just 4.3% while the CEO remuneration expanded by 298 percent. While the middle US c ompensation in 2008 was $36,140, the CEO of Washington Mutual earned $5.8 million; the CEO of Boeing earned $19 million while a Church Facilities Manager earned $42,000. The irregularity is additionally embraced by Baker and Fung (2002) who contend that the wages of laborers have been declining since the 1980s while the CEO pay has been expanding. Indeed, even before considering the estimation of investment opportunities and rewards, the CEOs in the US got pay that was twice as high as some other country. There is no proof that the CEOs of the US firms are more beneficial than the CEOs of different countries. The business sectors realize that the genuine expense of CEO is intentionally covered up (Baker and Fung, 2002).

International relation Assignment Example | Topics and Well Written Essays - 250 words - 1

Global connection - Assignment Example Globalization includes the interconnection and associated of economy and culture of all nations universally, and capable become ready to apply impact upon different countries. Be that as it may, globalization effectsly affects the state and the residents in question. Globalization in sociology as indicated by (Keohane and Nye Web), declares that everything combine on the idea that every single human action over all locales of the world are exceptionally connected all together of the innovative and social changes. Globalism as per the educators is the condition of the world comprising of the system of autonomy that outcomes from the steady progression of administrations, individuals, products, culture, and thoughts universally. As per Keohane and Nye, globalization can prompt company among the different people or associations that are not in concordance with one another. The two educators in their conversation concurred that the hugeness job of globalization includes uniting left gatherings through the procedure of exchange known as arrangement coordination. The understanding attempts to carry harmony and agreement to people inside and universally. The undertaking of complex reliance brought a few difficulties. Keohane and Nye concocted a distribution that had an inside and out comprehension of the effects of examining the universal relations. The two creators attempt to clarify the huge of a person to contemplate worldwide relations (Keohane and Nye Web).

11 Other Items To Locate Now That We Found That Lost Dr. Seuss Book

11 Other Items To Locate Now That We Found That Lost Dr. Seuss Book Congratulations to Random House on finding that lost Dr. Seuss book! Assuming that the task force of forensic editorial anthropologists appointed  specifically to accomplish this feat now has some time on its hands, might we apply that towards finding these other lost childrens book treasures? 1. Long form birth certificates for all of the Mo Willems characters. If the elephant is named Gerald, why is the Piggy just named Piggy? 2. Margaret Wise Brown’s Goodnight Moon follow-up, Sorry Guys I Was On A Lot Of Drugs When I Wrote That Last One. 3. Court transcripts from when Love You Forever mom was brought up on child abuse charges. You KNOW something aint right in that relationship. Go read it again and try to tell me that those two have a healthy attachment to one another. 4. John Green’s grocery list. Let’s be real with ourselves, it would take us all of a week to collectively sell a million copies of anything that dude writes. 5. The new Markus Zusak novel. No, seriously. Where has he been? 6. A written confession from John Grisham for his crimes against the middle grade genre. 7. I Am Alarmed By Your Persistent Refusal to Acknowledge My Complete Disdain for Actual Children: The Collected Letters of Maurice Sendak. 8. @MsBEFrankenw, the protected Twitter account maintained by the ghost of EL Konigsburg 9. Bootlegs from that mythic Jack Prelutsky- Shel Silverstein rap battle 10. Bitch, Please, I Invented Dystopia: The Lois Lowry essay stuck in copyedits at the New York Review of Books. 11. “Day 439: Took 6th-favorite yellow suit out of storage after the dry cleaner ruined my 5th favorite- ugh! Monkey seems restless; might be time for a trip to the aquarium. Let’s hope it’s quiet and incident-free.” ____________________ Get a box of YA books and bookish goodies in the mail every quarter with our new YA Quarterly Box! Sign up here.

The Rights Of The United States - 914 Words

1. Direct democracy is a government in which the people directly elect their officials, and vote on the laws which govern them. When a nation has a representative democracy, the people’s officials are elected to act in their stead (Text Pg. 24). The politicians are empowered by the people to govern and pass laws. A constitutional democracy is one in that the politicians are representatives of the people (Text Pg. 21). The politicians acknowledge that there are limitations on their power, and that the people are sovereign. Democracy, as we know it, can be described by four important values. These four values are Personal Liberty, Individualism, Equality, and Opportunity (Text Pg. 25-26). Personal liberty is the freedom of individuals to determine their destinies. The citizen will determine his future, not the state (Text Pg. 25). Individualism is the belief in that everyone is equal in their right to being treated equitably (Text Pg. 25-26). The rights of the many do not outweigh the rights of the few. Equality is the right in which people are treated equally and given the same opportunities as anyone else is given (Text Pg. 26). Opportunity is the chance for everyone to have the chance to further themselves (Text Pg. 26-27). People have the right to their fair chance at succeeding in life, without discrimination. 2. The Virginia Plan was an argument for an empowered central government with two houses of representation. Voters would elect representatives who would thenShow MoreRelatedThe Rights Of The United States851 Words   |  4 Pagesfounding fathers established the United States of America constitution, made up of twenty-seven amendments, at the constitutional convention. Fourteen years later, two-thirds majority of the state ratification, necessary to make it legal, ratified the Bill of Rights. As part of the constitution, we have individual rights. These rights include life, liberty, and the pursuit of happiness. With this, people from all around the world who come into the U.S, have the same rights as the citizens of the U.S.Read MoreThe Rights Of The United States1690 Words   |  7 Pagesmost important rights of American people. Liberty is understood as a basic right of freedom to which everyone can engage in certain actions without control or interference by a government or other po wer. Based on that principle, selective incorporation is a process of constitutional law in which some provisions of the Bill of Rights are nationalized to the states through the nationalization of Fourteenth Amendment, so citizens of the U.S. are ascertained to have protection from states as well as centralRead MoreThe Rights Of The United States1356 Words   |  6 PagesHuman rights are inherent to being human and essentially a right obtained by any being born in the world. These rights do not discriminate whether one was born in the United States or in Mexico. Essentially, they are what it means to be a human being, not if you are a citizen to a specific country. Lawful permanent residents of the United States prior to 1996 were eligible for public benefits programs suck as the Food Stamp Program, Medicaid, Supplemental Security Income (SSI), and Temporary AssistanceRead MoreThe Rights Of The United States1343 Words   |  6 Pagesbeing necessary to the security of a Free St ate, the right of the people to keep and bear Arms, shall not be infringed†. This statement is part of the Second Amendment in the United States that shows American citizens have an authority to own a gun legally to protect themselves. Since the United States was founded in 1776, this nation has grown up connected to firearms. After wars such as World War I and World War II, war industries led the United States to become one of the powerful nations in theRead MoreThe Rights Of The United States1684 Words   |  7 Pages1). Indeed, throughout the course of history of United States, peoples’ liberty has been established as the most important aspect of American people. Liberty is understood as a basic right of freedom in which everyone can engage without control or interference by a government or other power. Based on that principle, Selective Incorporation is a process of constitutional law in which some provisions of the Bill of Rights are nationalized to the states thr ough the Fourteenth Amendment, so citizens ofRead MoreThe Rights Of The United States1219 Words   |  5 PagesIt is well known that the United States have been seen internationally as a key actor, for better or worse, when it comes to the field of universal human rights. At the same time, recent events have shown a disassociation between the words and actions of the nation. Despite the fact that these rights are supposed to be constitutionally-protected, the United States has been criticized for repeatedly violating them not only in the past but in recent memory: criminalization of poverty and homelessnessRead MoreThe Rights Of The United States867 Words   |  4 PagesA lot of bills have been passed and written as legislation under the falsification that they would better outline the citizens freedom and guarantee their rights. Yet once in a while these laws are made with dismissal to what is expressed in our Constitution. At times they twist and distort the main purpose of the amendment, counter acting the purpose of why the Amendments was written. They were to guarantee that there would not be a rehash of what the founding fathers had encountered when theyRead MoreThe Rights Of The United States924 Words   |  4 Pagestruly making the United States â€Å"the land of the free and home of the brave†. This was for everyone including minorities. At the time of making the laws of America, the founding fathers never knew that the overwhelming issues of slavery and unequal rights would have overtaken the United States of America, even so much that it still exists today. Even leaders who also had hopes of seeing equality in America like Rosa Parks, Martin Luther King Jr., and the Advocates for Women’s Rights to vote risked theirRead MoreThe Rights Of The United States1203 Words   |  5 Pagesbelieve that everyone deserves and are entitled to the same rights as anyone else. But are there exceptions to the rights of citizens? Are there times whe n it is acceptable for citizens to be denied rights? Throughout history most nations have had some sort laws in place regarding the defense of the nation. The United States being no different, has undergone several changes throughout the course of our country’s history in regards to the rights of citizens that serve. For example in 1948 President TrumanRead MoreThe Rights Of The United States1199 Words   |  5 PagesThe Right to What? All day all night this document printed on hemp and written with a quill, the defender of American Ideology and rights, the constitution. But to get the jest of the constitution you have to have an understanding of the Bill of Rights the first ten right written into the framework of every American person. The United States Bill of Rights. The Bill of Rights is essentially the points of the Declaration of Independence our founding fathers wanted to stress as the most important.

Adolescence Defined By Biology or Society Essay - 703 Words

Adolescence begins in biology and ends in society. The definitions we accept to describe the onset of adolescence revolve around puberty, biological changes of the body. Therefore I consider adolescence to begin in biology. Adolescence ends in society. Entrance into adulthood marks the end of adolescence. The definitions of who is considered an adult are defined by society and therefore I contest that adolescence ends in society. The onset of adolescence is marked by a sudden increase in the production of many hormones in the body. The hypothalamus, the part of the brain that controls the pituitary, sends signals the increase hormone production. Growth hormone produced in the anterior pituitary is increased in production,†¦show more content†¦Some research has shown the factors that control the onset, to be genetic. They argue that timing of the onset is by inherited factors within the chromosomes of the individual. The anatomy of chromosomes is well known, however the physiology is limited to describing how genes on the chromosomes code for the proteins that are the makeup of hormones. It is not understood what causes a certain gene to be expressed. Until these factors can be shown the theory of genetic control over the onset of puberty cannot be proven as fact. Some patterns have been shown within a group of individuals that are exposed to similar environmental conditions such as nutrition and health, and enter puberty at differing times, that points to a correlation between social interaction and the timing of onset. For example family environment. A stress created by family or other factors can slow the onset of maturation. However, this correlation can be explained by experiments that have proven that stress can affect the secretion levels of hormones. This further proves that the factors controlling the onset of puberty are biological. Another argument to biological control over the onset of maturation is history. Throughout hi story the timing of puberty has remained similar given similar environmental conditions. Adolescence ends when adulthood begins. All societies define what is considered an adult. Some define it different than others but the characteristics areShow MoreRelatedHuman Behavior And Inner Emotion1329 Words   |  6 Pageshumans, as well as the function of their immune system and brain chemistry. This is closely related to neuroscience and biology as a fundamental role in determining our behavior and how it corresponds with inherited genetics. The Biological Perspective, also referred to as biopsychology or psychobiology, is the only approach that studies emotions from the perspective of biology (McLeod, 2015); it is belief that all outward and inward behavior have a biological reason behind it. Animal research playsRead MoreThe Brilliant Club Final Assignment1683 Words   |  7 Pageschanging the meaning and make sure it will have the source links at the bottom of the essay. It will show images of the brain at different ages. It will show; development of the brain, consequences of adolescence for example drink driving, what is fMRI, sMRI, PET and EEG. Main During adolescence the teenagers become more risky (take more risks), the frontal lobe (the brakes) are not fully developed so it can’t cope with the temporal lobe (accelerator) which can’t control itself, energetic, adventurousRead More gender Essays1312 Words   |  6 Pages Gender Roles nbsp;nbsp;nbsp;nbsp;nbsp;For many years society has embraced the idea that the difference between men and women were biologically determined. Thou through traditions, media, and peers we act accordingly to how others view us. Each individual has pressure placed upon them based on their gender. Our sex is determined by genetics while our gender is programmed by social customs. Some theories interpret that a women is tender and a loving mother while on the other hand men are aggressiveRead MoreMy Life Span Development Class1372 Words   |  6 Pageswith his mother. Relationships with friends at my brother’s age are much stronger than the relationship between his parents at this stage of development. Nathan seems to be concerned about only himself right now, which may be defined as adolescent egocentrism which is defined as â€Å"the heightened self-consciousness of adolescents.† (Santrock, 2014, p. 267) Whatever was on his phone, seemed to be much more exciting than talking about his day. After scrolling through whatever was on his newsfeeds onRead MoreSexual Scripts923 Words   |  4 PagesIn any given society, at any given moment in history, people become sexual in the same way they become everything elseÂ…without much reflection. They pick up directions from their social environment. They acquire and assemble meanings, skills and values from the people around them. Their critical choices are often made by going along and drifting. People learn when they are quite young and few of the things they are expected to be, and continue slowly to accumulate a belief in who they are andRead MoreEssay on Myth of the Teen Brain: An Article Review1219 Words   |  5 Pages1904 with G. Stanley Hall’s observation of adolescents who were left on the streets due to mass migration and immigration during the industrial revolution. Hall attributed the turmoil he observed to recapitul ation, a biological theory in which adolescence mirrors the savage, pigmoid stage of evolutionary development (Epstein 2007). Further, brain imaging studies noted differences in scans of adolescents and adults while performing tasks. It was theorized that the differences in teens’ brainsRead MoreLifespan Studies: Cognitive, Language, Social and Emotional, Physical and Holistic Development, and Discuss How Te Whariki Supports and Promotes the Development of Each Domain in the Early Childhood Sector.1113 Words   |  5 Pagesearly childhood sector. The definition of Cognitive Development as stated by the Encyclopaedia of Childrens Health, is the construction of thought processes, including remembering, problem-solving and decision-making from childhood through adolescence to adulthood. According to Vygotsky, infants are endowed with basic perceptual, attention and memory capacities that they share with animals. These develop during the first two years through direct contact with the environment. Then rapid growthRead MoreGender Roles And Gender Development1598 Words   |  7 Pagesinterchangeably. Sex is a biological term and defined as â€Å"the categories of male or female of the sum total of biological attributes on which this distinction is based within a species† (Colman, 2009). Gender, however is a social construct and consists of gender role, gender identity and sexual orientation / preference. Gender identity is â€Å"a sense of awareness, usually beginning in infancy, continuing through childhood, and reachin g maturing in adolescence, of being male or female, or of the genderRead MoreDefinition Of A Normal Adult905 Words   |  4 Pagesof the reason is the definition evolves as time passed by. The criterion of a â€Å"normal adult† differs from cohorts to cohorts. The readings and my life experiences have pointed out, becoming financially independent and self-sufficient is generally defined for being an adult, which I agree with. On the other hand, it is undeniable that there are parents and unmarried adult who do not financially independent and self-sufficient; some of them may even do not have a stable career. I have heard a real storyRead MoreEating Disorders : Bulimia Nervosa1383 Words   |  6 PagesBulimia Nervosa â€Å"Up to 30 million people of all ages and genders suffer from an eating disorder† (Wade, Keski- Rahkonen, Hudson, 1995). There are many factors which contribute to the development of eating disorders including â€Å"biology, emotional health, and societal expectation, and other issues† (â€Å"Diseases and Conditions Bulimia nervosa†). One of the most prominent eating disorders in America and around the globe has been around since the Middle Ages: â€Å"Bulimia is first reliably described among

Sartre Revised Free Essays

string(114) " the things that he do, what kinds of act he gets himself involved in, becomes his definition, becomes his being\." Being condemned to be free is ironic. Condemn and free are two words not usually seen together in one sentence making a coherent and firm statement. To condemn is to declare to be reprehensible, wrong, or evil usually after weighing evidence and without reservation. We will write a custom essay sample on Sartre Revised or any similar topic only for you Order Now And to be free is to have the legal and political rights of a citizen. Joined together the words will over right their meaning. And yet philosopher Jean – Paul Sartre managed to make his point stand out and be heard by everyone, outliving 64 years of earthly, human living. What Sartre is trying to tell us, his thoughts and ideas about life here on earth, about our responsibilities, about the trifle things and actions in our everyday lives that we tend to ignore because we think life is bigger than us, that there’s a bigger picture, is what being condemned to be free is all about. In today’s modern world, freedom has become a necessity and has taken on many forms. Gone were the days when women are not allowed to vote, engage in politics and other manly jobs, cannot have a career and is obliged to stay home and manage the household, and be thrown to unwanted marriages arranged by their parents. Now everybody can choose. And many have viewed this right to choose as a form of freedom. One has the right to choose their schools, their career paths to take, their spouses, how many children are they going to have, what will they name their kids, it is just a matter of choosing and directing this freedom to what we think is the right thing to do. After all, not all of us are using this freedom to choose our actions wisely. It all starts with human beings being born free and equal in dignity and rights, the first article from the Universal Declaration of Human Rights. Men are created equal, and it’s funny that there are people born carrying within them the royal blood. It already raises their political and monetary position above all the common men. They carry with them the noun King, Queen, Prince, Princess, Emperor, and Empress among others before their birth names. They have all the advantages in the world, not having to sit through traffic, not having to be the front liner in a war, not having to work hard to earn a living. In fact, they just sit and everything is done for them, all they have to do is make sure they keep their countries the same as it was before they were born. Up to what extent is this equality in dignity and rights applicable? Now that everybody seems to have a complete grasp of liberty, it appears that being free is not as wanted as it was before. History taught us well enough to know that there have been a number of wars fought for freedom and religion. The tales of man then tells us how others will try to conquer the lands where they have been born, and a leader will fight for their land and in the end they either merge with the conquerors or greatly celebrate their freedom. Religion, too, has been a great propeller of wars. Different beliefs, different doctrines, a different God for every religion, set the plot for a more massive movement that outlasted every century up to now, still counting fatalities. â€Å"The historical reality is that where religious freedom is denied, so too are other basic human rights. † (Why Religious Freedom? ) Religious freedom is just one of the many forms of freedom people are indulging in today. There is also what we call academic freedom. â€Å"The notion of academic freedom is invoked to justify statements by faculties that offend politicians, religious leaders, corporate executives, parents of students, and citizens. (Academic Freedom in the United States) That immediately removes your right as a person to say what you want to say, it obviously is a threat to be opinionated now a days. And it is not just academic; the press is also encountering some form of suppression. According to the Freedom House organization, there are several reasons as to why the media i s being stripped off of its independence. The media can be a source of political opposition, political upheaval, victims of violence, and finally, they can be threats to national security. (Map of Press Freedom) With all the overwhelming talk about freedom, liberty and human rights, one man tries to summarize all this into man being condemned to be free. Jean-Paul Sartre is said to be one of the brightest philosophers of the twentieth century. â€Å"French novelist, playwright, existentialist philosopher, and literary critic. Sartre was awarded the Nobel Prize for literature in 1964, but he declined the honor in protest of the values of bourgeois society. His longtime companion was Simone de Beauvoir (1908-1986), whom he met at the Ecole Normale Superieure in 1929. â€Å"(Jean-Paul Sartre 1905-1980) An Existentialist, Sartre is known for his public lecture, Existentialism and Humanism and his magnum opus, Being and Nothingness. Sartre’s greatest work, Being and Nothingness is subtitled: Phenomenological Ontology. He starts his discussion with the description of two kinds of being. According to him there is the in-itself and the for-itself. The beings-in-themselves are the ordinary objects, while the being-for-itself are the human agents. (Jean-Paul Sartre) The beings-in-themselves or ordinary objects do not have the capability to change or create. A chair is nothing more than what it is, it cannot change its appearance on its own, nor can it create something out of its being. A human agent is a being-for-itself because it is a being with conscious plans, purposes and intentions. It is able to project forward from a given situation to a future possibility that is not yet realized. The uncertainty of human life and purpose, the venturing into the unknown is what makes and defines human life distinct from the others. As human life progresses, the things that he do, what kinds of act he gets himself involved in, becomes his definition, becomes his being. You read "Sartre Revised" in category "Papers" A person is born not knowing that he will pursue a career in medicine. As he grows up and goes to medical school he is defined. He has found a definition for his life, that of a doctor. For Sartre, if a being-for-itself starts to question its purpose and meaning, it starts to have a consciousness. The consciousness makes it possible for the human to know everything around him, and everything that is not around him. As it now knows that it is not an ordinary object but something else. Something undefined, something that is not yet known to him. So starts the journey to fill in an empty palette. In not knowing, in a human’s nothingness, he is free. There is this whole notion that if you are inside a prison cell, you are not free. You are bounded by rows and rows of bars, controlled by correctional officers, undermined by more experienced inmates. But if we were to use Sartre’s definition of freedom, no Alcatraz can set limits on our liberty. In fact, this will even define the person and not limit his being free. The core idea of the text is that man is condemned to be free, meaning that in this freedom that we have, we are still responsible for our actions. We cannot evade our responsibilities and say that we did not choose it to happen, because our actions are unmistakably ours alone. Nobody does our actions but us. Even if we are not inside jail cells, we are still attached to obligations and duties which we can only be held responsible to bringing upon ourselves. â€Å"Man being condemned to be free carries the weight of the world on his shoulders; he is responsible for the world and for himself as a way of being. † Every action that we do, we know and we are conscious of us doing it. We cannot clean our hands and say that we did not want that to happen. We are abandoned in the sense that we cannot but the blame on somebody else. We carry the burden; nobody can help us with it. Sartre pointed out a few arguments to support his view. He mentioned three reasons why human-reality is free. Human – reality is free because it is not enough. Human – reality is free because it is perpetually wrenched away from itself and because it has been separated by a nothingness from what it is and from what it will be. And finally, human – reality is free because its present being is itself a nothingness in the form of the reflection-reflecting. Basically what he is trying to say is that our life here on earth is not enough to explore everything that this world can offer us. We continue to be free in spite and despite of the fact that there is a limit to everything. Freedom is the nothingness which is made-to-be at the heart of man, it forces human – reality to make itself instead of to be. For human – reality to be is to choose oneself. Sartre tells us that if a person should make something out of his nothingness, then he makes use of his freedom. He has to make himself something out of this freedom. His freedom opens his world to a lot of choices. What one would want to do, what one would make out of the small money one has, what one will do when one wakes up in the morning. These things that one chooses to do will give him the being of man. Man cannot be sometimes slave and sometimes free; he is wholly and forever free or he is not free at all. For to be wholly free is to be given responsibility. And to not be free, one is not given responsibility, which will never be the case because only the beings-in-themselves or the ordinary objects are those that cannot assume responsibility. He must assume the situation with the proud consciousness of being the author of it. Our lives are like books. They have a plot, a setting and characters. But who makes things happen? Is it not us? We are the author of our own books, we make things happen. However bad the situation that we find ourselves in, we must assume responsibility and get through the challenge. Absolute responsibility is not resignation; it is the logical requirement of the consequences of our freedom. When free, man chooses to do things. And when man chooses to do things, these things will always have consequences. For example, man chooses to swim at high noon. After awhile, he finds himself with his skin burning from being exposed to the sun too long. This is the consequence of his actions. His freedom to choose his actions makes him absolutely responsible for whatever it brings to him. There is no non-human situation because all decisions are human. Even if we say that man does inhuman things, like that of nuclear war, murder and rape, this will never be a non-human situation simply because the decision to get involved is of human nature. You try to reason with yourself that maybe what you are doing is wrong and not just, and yet you still decide to do it. It is still a human who is behind the act; hence, it is not a non-human situation. There are no accidents in life. For lack of getting out of it, I have chosen it. It is a matter of choice. Here Sartre points out that what happens in life does not happen by chance. We get ourselves involved by our choice, and if we say we do not have a choice, and we cannot get ourselves out of it, we still have chosen it. Because we always have a choice. Even if that choice is suicide or not doing our duties, it is still an option to get out of a situation. Human – reality is without excuse. Lastly, Sartre tell us that one cannot ask, â€Å"Why was I born? or curse the day of his birth or declare that he did not ask to be born, for these various attitudes toward his birth – i. e. , toward the fact that he realizes a presence in the world – are absolutely nothing else but ways of assuming this birth in full responsibility and of making it his. When man becomes conscious of his p resence and being in this world, it follows that he accepts responsibility. Because now he knows and is fully aware of the things that he is doing, his freedom, and once aware of his freedom, he is found to be responsible. I think that Jean-Paul Sartre wants to find meaning in life just like everybody else. The answer to the question, â€Å"Why was I born? † Sartre answered simply. Unlike other schools of thought, namely the determinists and the proponents of free will, Sartre focused on man’s is being condemned to be free but with full responsibility. Sartre said that the proponents of free will are concerned with finding cases of decision for which there exists no prior cause or deliberations concerning two opposed acts which are equally possible and possess causes or motives of the same weight. Hence they try to reason that a person is born with the free will to find a cause for himself. However, the determinists reply saying that there is no action without a cause and that the most insignificant gesture refers to causes and motives which confer its meaning upon it. So for them, man is born with a cause already. Sartre simply answered this question when he said that man is born out of nothingness, and in this nothingness, he is free. And like most philosophical view points, Sartre is very much ridiculed for his existentialist values. There are objections to him mostly because of his atheistic ideals saying that he believes that we are living in a universe with no God, no morality, nothing absolute. Abandonment: Condemned to be Free) His stand on being free that leaves us with a feeling of abandonment because we are solely responsible for everything, comes from his realization that there is no supreme being, being God that guides us and supports us every step of the way. We are alone and we cannot ask for a God to help us in situations that we cannot possibly escape f rom. His definition of freedom permits everybody to do whatever we want, because we all have choices and responsibilities to bear. And if we have chosen to be a part of a non-human situation, we would still find ourselves deciding humanely. For example, a man participates in murdering another man, it is his choice to participate in the killing, and nobody forces him to do so. The other man is now dead, because man is free to choose what to do; he is not judged as doing something wrong. Instead, as long as he deems himself responsible for the killing, he is free. What we do not understand much is that our being free has to come with responsibility. Yes we get to do whatever we want, but we still have to consider the consequences and assume responsibility for it. By then, we cannot dare say that we did not want this. Nobody else is responsible for the things we do but ourselves. We choose, even if we say that we left it all to chance. Leaving it to chance is still an option that we choose. The life given to us, it is a choice. Everything we do, we do without regrets or remorse. There should be no excuses, for we are the authors of our situation, nobody else but us. In my own opinion, I greatly value Sartre’s work. He proves that there are so many reasons why we should enjoy our life here on earth and how much freedom we have. He points out a great deal of effort as to why we do things not needing a direct cause or a cause not to do it. But I do also possess a great amount of respect to the Supreme Being. I know that there are people who believe that they do not need a God, who believes that life here on earth is just passing and not really owed to him. But for me, that is not the case. I believe that we are not alone, and that there is someone out there who gives us hope and who makes us keep our faith. Yes, we have to be responsible for the things that we do. But that responsibility comes with great respect and consideration for other people around us. We just cannot hastily do things and hope that we do not get in the way of somebody. Life is governed by rules, by the law. If there will be none of these rules and laws, there is definitely chaos. And I do not think that suicide is neither an option nor a last resort. We cannot simply find the easy way out. What is the thrill in just killing yourself if you cannot overcome challenges and obstacles in your life? Why do you have family and significant others to share your dilemma with? I believe that our troubles are our responsibilities, but it does not stop us from asking help. There are now numerous numbers to call in case we decide not to confide to our family members or to our closest friends, especially if we want to remain anonymous. If other people find ways to help other people, especially those who established organizations like alcoholics anonymous, etc. , why can we not indulge in these as well? Yes we always have a choice, and suicide is not one of them. Yes we have the freedom to do that, but if you believe that everybody is given an equal and a second chance, would you do it? We do have our own burdens and crosses to carry, but everything is possible as long as we have faith. Faith in ourselves, to always have the courage to face our problems, faith in life, that it may not let us down and faith in the Supreme Being, to whom we know we are always taken care of. How to cite Sartre Revised, Papers

Kinetic Xbox 360 by the Microsoft

Executive Summary Kinetic Xbox is a system that uses infrared translates 3D body motion to control video games. Rare and prime sense companies because of technological competition in the Microsoft world introduced the product. Bill Gates and Paul Allen following a series of revolution of innovations founded Microsoft Corporation in 1975 and introduced its second language Fortran in 1977.Advertising We will write a custom term paper sample on Kinetic Xbox 360 by the Microsoft specifically for you for only $16.05 $11/page Learn More This led to its success of the Microsoft 8080 basics in the ICP million dollar awards launched in 1979. In 1983, the Microsoft Company released Microsoft Word to compete with MS-DOS operating system that IBM Company introduced in 1981. Due to competition in the market, Microsoft proceeded to release OS/2 in December 1987, Windows 3.0 in 1990, and Windows 95 to replace MS-DOS in 1995. Microsoft produced windows pc operating syst ems, office suite of productivity software, windows and SQL servers, Xbox 360, Bing internet search, business software, and software for mobile devices. The mission of Microsoft is to enhance the potential of business people to utilize resources to maximize their profits. In 2001, Microsoft XP replaces Windows 95 operating system with the innovation of Xbox that is one of the two largest gaming devices in the world. Later, Microsoft releases Xbox 360 in 2005. Xbox 360 creates the impact of Microsoft development by introducing unique products such as the Kinetic. Kinetic Xbox 360 enables the user to use the movement of the parts of the body and voice to control video games. No devices or gadgets required. The product attracts the attention and interest of many consumers due to the unique and advanced entertainment, exercise and socialization. However, the product is very expensive and although the consumers need it, they are not willing to spend on the product. This is due to the ava ilability of close substitutes from its competitors Sony Playstation and Nintendo Wii, which are less costly. The market is monopolistic hence; the Microsoft products have control over their price since they are close substitutes. This means that Kinetic Xbox 360 can only earn profit in the short run since the competitors or new entries introduce products that compete with the product in the end. Kinetic Xbox segments its markets to focus on subsets of potential customers. In geographic segmentation, the product targets developed countries such as North America, Europe, China, and Japan where the product is affordable by a large number of consumers. Behavioral segmentation stimulates customer demand in the use of a wave of a hand and voice to control video games.Advertising Looking for term paper on other technology? Let's see if we can help you! Get your first paper with 15% OFF Learn More The product uses psychographic segmentation by introducing social networking th rough face book partnership, extending the product in the mobile phones, and TV and computer systems game entertainment. Demographic segmentation allows the product to provide family entertainment. We recommend expansion of markets in other countries or target markets to attract a substantial market share. Due to the nature of the market, lowering the price of the product enables survival in the end. The urge to innovate competitor products sends warning to the Company to improve technology of the product to maintain top position in the market. The company ensures brand loyalty and market control by creating customer experience, customer relationship, sense of pride and belongingness, and freedom of customer expression. These help the product compete effectively and efficiently during its future performance in the market. Due to the complexity of choice and management of distribution channels, the company makes decisions based on the structures of distribution, patterns of distribut ion channels, and the intermediaries. Consistent and controlled promotional programs enhance communication of the company and its consumers to increase product awareness and demand levels. This term paper on Kinetic Xbox 360 by the Microsoft was written and submitted by user June P. to help you with your own studies. You are free to use it for research and reference purposes in order to write your own paper; however, you must cite it accordingly. You can donate your paper here.

Comparison Between the Jungle and Fast Food Nation

Comparison Between the Jungle and Fast Food Nation The Jungle is a book written by a journalist who aimed at bringing out the kind of life experienced by those who had migrated to the United States. Although, the novel was then interpreted and used to expose the situation of the health that was being experienced in the industry (Sullivan 1996).Advertising We will write a custom essay sample on Comparison Between the Jungle and Fast Food Nation specifically for you for only $16.05 $11/page Learn More The book elaborates on the harsh conditions of people who migrated to the United States. The Jungle talks more of the problems that people both employed and unemployed faced out off the high level of corruption in by the leaders in the state. The writer of the book came up with suggestion on what ought to be done to eliminate the issue of minimal salaries among the citizens, hence, improve the living standards of the people in the United States. The writer of the novel brings out the picture of America as a natio n that is experiencing various food problems as a result of fast food cuffs, hence, threatening the lives of many citizens in the region (Cecilia 2004). Despite of their advantage of having numerous food supplies in the region, people in the state continue to suffer instead of enjoying the food resources. The writer feels that this is a problem that people created for themselves due to their unhealthy practices that lead to death as well as severe illnesses. There were numerous similarities in the United States on the way people were treated by the government as well as their day to day life. Both the state faced almost common problems as well as close kind of hardship despite of the differences in the kind of resources that were found in the two regions (Jacobs 2010). The writers did not only focus on the problems that the citizens were experiencing but also viewed at the possible solutions that could employed to diminish the problems in the two regions. In the writing, the writer elaborated on the problems that come hand in hand as a result of poor planning by the government, corruption as well as minimal wages among the employed citizen, thus, making the lives of the citizen difficult (Sullivan 1996). With the increased level of poverty in the United States, many people and mostly the immigrants face the greatest challenge in trying to meet their daily needs. However, there are some people who are concerned with the low living standard of the members of the states, for instance, the writer of fast food nations who went to an extra mile by organizing for supervision on the meat packing facilities but his effort fails to work out as people allocated to perform the duties were so reluctant to notice the poor hygiene in the plants. This does not help much in improving the already low level of living in the region reason being that the government was not concerned with its people (Tichi 2004). This could have been enhanced by the fact that the government in the region was also corrupt making the situation even worse.Advertising Looking for essay on comparative literature? Let's see if we can help you! Get your first paper with 15% OFF Learn More In both states, the major cause of health problems came as a result of cattle rearing by the citizen. However, the problem was not alls about the rearing of the animals but the processes that followed after the animals were ready for consumption. For instance, in the United States, the writer discovers that the level of cleanliness in the meat plant was low as those concerned could only clean them only when there was going to be an inspection. This, therefore, portrays how much the citizen consumed unhealthy meat from the company. Nevertheless, the efforts of those who tried to expose the kind of unhealthy activities taking place in the regions were cut short by those who wanted to hide the true face of the governance in the region. This was done by reporters who said that t he information given by the writer were just false allegation and that they were misleading since they were baseless. As well, in America, the state of the unhealthy conditions was also experience by the citizens. As in the United States, the hazardous practices were also taking place in the meat companies. The processing of meat was found to be unhygienic for human consumption but the people in the states consumed it without their knowledge. In the United States, the conditions were worse as compared to those in America (Jacobs 2010). The reason behind this was because the carcasses from pigs, chicken as well as from horse were incorporated into cattle feed. Thus, these kinds of practices were the major cause of diseases like bovine spongiform encephalopathy commonly known by the people in the regions as Mad Cow Disease. The consumption of the unhygienic meat not only caused diseases in those who consumed it but it also led to introduction of detrimental micro organisms like E. col i in the meat, hence, this could eventually lead to sickness among the citizens. In the same state, there were other diseases like obesity which was also a threat to the health as well as to the lives of the citizens. Teen labor was also a challenge to the immigrants of the United States as every member of the family was expected to work to aid in supporting the family. This was after the family became a victim of the con men as well as schemes that exhausted their saving. The situation was even more terrible as it diminished all what the citizens had saved to a point of not being in a position to pay for the cheap accommodation that could be easily acquired in the low standard houses known as slums (Sullivan 1996). This lead to eviction of the immigrants leaving the members frustrated.Advertising We will write a custom essay sample on Comparison Between the Jungle and Fast Food Nation specifically for you for only $16.05 $11/page Learn More The different o ccupations as well as lifestyle of the family change their lives from that juncture. This was greatly contributed by the harsh condition they faced at workplace. The situation at work place was made worse by the hardships they faced such as accidents that occurred at workplace as well as deaths of the members of their family that with proper conditions as well as planning could have been avoided. Sexual harassment is also a problem in the two states especially in the United States where the level of security was poor as well as the migrants lacking a government that would cater about their wellbeing (Tichi 2004). Also, the kind of government that was found in the region was so corrupt, hence, no one could promote the security in the region. Those who could not speak English in both novels, that is the immigrants, were discriminated as they could not acquire good jobs as well as they were not counted as important to the society and hence, they could not associate with the others in t he community. This led them be with no choice of the kind of jobs to do, hence, ending up doing the hard jobs which could only afford them minimal salaries thus making their living harder. Lack of well paying jobs, led to poverty that was elaborated by how people died of simple conditions that could have been prevented if the people earned enough. The writer narrates of how a character by the name Ona died when giving birth due to lack of capital to pay for medical attention. In addition to this their younger son drowned in the streets that were muddy. This elaborates on the low living states the immigrants experienced yet no one was concerned to improve their way of life (Jacobs 2010). The main characters of the novels are among those who went through these hardships as well as the disappointments in their lives. They were so much into promoting the way of lives of those who experienced similar difficulties. However, their efforts were cut short by those who dominated the region su ch that ay time they came up with a way of improving the state nobody could side with them making the situation hard for them. In conclusion, the novels bring out the kind of life that people face especially in a land that is not theirs. The people of the United States as well as America represent a vast number of people who live below the poverty levels. The kind of living they experience as well as the neglect from the government. The novels can, therefore, be used to bring out to the issues that the government ought to look into to improve peoples way of living. Jacobs, Jane. Introduction to The Jungle. NY: McGraw-Hill. 2010.Advertising Looking for essay on comparative literature? Let's see if we can help you! Get your first paper with 15% OFF Learn More Sullivan, Mark. The Condemned-Meat Industry. NY: Our Times, 1996. Tichi, Cecilia. From the Jungle to Fast Food Nation. Philadelphia: University of Pennsylvania Press. 2004.

Presidents Elected Without Winning the Popular Vote

Presidents Elected Without Winning the Popular Vote Five U.S. presidents have taken office without winning the popular vote. In other words, they did not receive a plurality regarding the popular vote. They were elected, instead, by the Electoral College- or in the case of John Quincy Adams, by the House of Representatives after a tie in the electoral votes. They were: Donald J. Trump, who lost by 2.9 million votes to Hillary Clinton in the  2016 election.George W. Bush,  who lost by 543,816 votes to Al Gore in the  2000 election.Benjamin Harrison,  who lost by 95,713 votes to  Grover Cleveland  in 1888.Rutherford B. Hayes, who lost by 264,292 votes to Samuel J. Tilden in 1876.John Quincy Adams,  who lost by 44,804 votes to  Andrew Jackson  in 1824. Popular vs. Electoral Votes Presidential elections in the United States are not popular vote contests. The writers of the Constitution configured the process so that only the members of the House of Representatives would be elected by popular vote. The Senators were to be selected by state legislatures, and the president would be selected by the Electoral College. The Seventeenth Amendment to the Constitution was ratified in 1913, making the election of senators to occur through popular vote. However, presidential elections still operate under the electoral system. The Electoral College is made up of representatives who are generally selected by the political parties at their state conventions. Most states except Nebraska and Maine follow a winner-take-all principle of electoral votes, meaning that whichever partys candidate wins a states popular vote for the presidency will win all of that states electoral votes. The minimum electoral votes a state can have is three, the sum of a states senators plus representatives: California has the most, with 55. The Twenty-Third Amendment gave the District of Columbia three electoral votes; it has neither senators nor representatives in Congress. Since states vary in population and many popular votes for different candidates can be quite close within an individual state, it makes sense that a candidate might win the popular vote across the entire United States but not win in the Electoral College. As a specific example, lets say the Electoral College is only made up of two states: Texas and Florida. Texas with its 38 votes goes entirely to a Republican candidate but the popular vote was very close, and the Democratic candidate was behind by a very small margin of only 10,000 votes. In the same year, Florida with its 29 votes goes entirely to the Democratic candidate, yet the margin for the Democratic win was much larger with the popular vote win by over 1 million votes This could result in a Republican win at the Electoral College even though when the votes between the two states are counted together, the Democrats won the popular vote. Calls for Reform In general, it is very rare for a president to win the popular vote yet lose the election. Although this has only happened five times in U.S. History, it has occurred twice in the current century. In 2016, Donald Trump lost the popular election by nearly 3 million votes, about 2% of the total votes cast. Discussion for reform of the Electoral College dates to the first years of the Constitution and has frequently been the topic of scholarly discussion. Defenders of the Electoral College argue that its violations of majority rule are an example of constitutional provisions that require super-majorities to take action. The Electoral College allows a minority to take an action- that is to select a president- and it is the only device of its kind in the Constitution. The primary way to change it is to amend the Constitution. Since the way states count votes can affect who wins and who loses, electoral reform is by its nature political: if a party is in power, the method used to get it there is not likely to be a target of change. Despite the current climate in that Democrats support change while Republicans do not, scholars believe that the situation is only temporarily one that swings towards one party or another: One proposal called the National Popular Vote Interstate Compact (NPVIC) is a sub-national reform to the Electoral College in which states agree to commit their electoral votes, as a unit, to the winner of the aggregate, national vote.  Sixteen states have signed on to date, some of which are Republican-controlled. One major purpose of the Electoral College was to balance the power of the electorate so that votes in states with small populations would not (always) be overpowered by larger-populated states. Bipartisan action is required to make its reformation possible. Sources and Further Reading Bugh, Gary, ed. Electoral College Reform: Challenges and Possibilities. London: Routledge, 2010.Burin, Eric, ed. Picking the President: Understanding the Electoral College. University of North Dakota Digital Press, 2018.Colomer, Josep M. The Strategy and History of Electoral System Choice. The Handbook of Electoral System Choice. Ed. Colomer, Josep M. London: Palgrave Macmillan UK, 2004. 3-78.Goldstein, Joshua H., and David A. Walker. The 2016 Presidential Election Popular-Electoral Vote Difference. Journal of Applied Business and Economics 19.9 (2017).Shaw, Daron R. The Methods Behind the Madness: Presidential Electoral College Strategies, 1988–1996. The Journal of Politics 61.4 (1999): 893-913.Virgin, Sheahan G. Competing Loyalties in Electoral Reform: An Analysis of the U.S. Electoral College. Electoral Studies 49 (2017): 38–48.

Introduction to decision making slp Assignment Example | Topics and Well Written Essays - 750 words

Introduction to decision making slp - Assignment Example My direct manager is a low level manager who is in charge of the employees and manages them. He makes operational decisions in the company which are small and deal with the day to day running of the low level affairs in the company. His main role is to report the needs and requirements of the employees to his manager. He is also in charge of the office supplies and his duty is to ensure that the supplies are enough in the office, well distributed, and that each employee maintains (Nutt & Wilson, 2010). His direct manager makes tactical decision and acts as a bridge between my manager and the senior level manager. He handles policy proposals on new products, new technology or new marketing tools. He then hands over the proposals and products to the senior level managers who then make the implementation. He sometimes acts as the human resource manager handling the problems of employees that are minute and do not require the attention of the senior managers. At the very top are senior managers who make strategic decisions which change the direction of affairs within the company and outside. Their decisions are influenced by both internal and external environment. They also work hand in hand with tactical manager to implement the product and project proposals, test new theories and technologies as well as liaise with other companies and the media in case announcements need to be made. The strategic managers are the face of the company as they are the known parties. 2. Give some specific examples of both programmed and non-programmed decisions that you have observed. Give at least one example of each type of decision, and explain why you think this decision falls into this category with references to the background materials. Programmed decisions are those that have been made severally until there is a clear guideline on what steps to take in order to make the decisions. These decisions can be passed down from one

Reading Assessment Assignment Example | Topics and Well Written Essays - 250 words

Reading Assessment - Assignment Example The current immigrants are different from the earlier immigrants in the sense that they form the source of terrorists and other ill intention arrivals with an objective of destroying the United States. John Amagoalik quote emphasizes relevance of Nunavut to original inhabitants of Australia and Greenland, Canada. Amagoalik argues that preserving Nunavut would assist Inuit and Aboriginals in protecting the erosion of their culture and history. Therefore, Nunavut existence remains symbolic of Aboriginals and Inuit historical reality. Gurston Dacks quote contradicts ideas advanced by Amagoalik. He argues that Nunavut have no particular value. Dacks, further states that Nunavut existence would only revoke postwar ideals rather than infer benefits to Austrian or Canadian community (Smith, 1971). Clash of civilization theory proposes that post-Cold War would result from peoples’ religious and cultural identities. Media arguments and research findings support clash of civilizations theory. Media reports on continued disagreements between Islam community and the Western countries relates to the theory. Contemporary media news reports that Islamic communities have decided to form militant movements that reject Western values and way of living. Unfolding religious and cultural events prompts for analysis to support clash of civilizations theory. Cultural and religious differences between Islam and Christian community require insightful analysis and professional views to ascertain clash of civilizations

The Pros and Cons of Abortion Essay -- Abortion Essays

The topic of abortion is one of the most controversial issues in today’s society. Thousands of abortions take place every single day, and yet public opinion remains at a standstill as to whether or not abortion is ethical or not. According to a poll in 2013, fifty-four percent of the American public believes that the practice of abortion should be legal in all or most cases (â€Å"Public Opinion on Abortion†) Abortion has been defined as â€Å"the act of removing a human embryo or fetus from the uterus of a pregnant woman prior to the completion of the full term of pregnancy†(Rich, Wagner, and Geraldine). There are very strong opinions for and against this issue, but no one can deny the vast gray area of abortion. A person’s stance on the situation is often determined by how he views the fetus: a part of the mother’s body or as a human being. Abortion continues to be a moral issue because people have various views on the rights of the fetus and mo ther, the circumstances of the pregnancy, and their own religious convictions concerning the issue. In the most recent study, 1.21 million abortions took place in the United States in the year 2008 (â€Å"About Abortion†). According to a study performed by the Guttmacher Institue, twenty-one percent of all pregnancies in the United States end in abortions (â€Å"Induced Abortion†). Fifty percent of pregnancies in the United States are unplanned (â€Å"Induced Abortion†). Of those unplanned pregnancies, four out of ten result in abortions (â€Å"Induced Abortion†). When analyzing the statistics of women who receive abortions, one must become aware that outside circumstances might contribute to a woman’s decision to have an abortion. For instance, women who are one hundred percent below the federal poverty level ac... ...rtion Federation: History of Abortion. National Abortion Federation, n.d. Web. 17 Mar. 2014. "Public Opinion on Abortion." Public Opinion on Abortion. Pew Research Center, July 2013. Web. 17 Mar. 2014. Rich, Alex K. Wagner, Geraldine. "Abortion: An Overview." Points Of View: Abortion (2013): 1. Points of View Reference Center. Web. 16 Mar. 2014. Rubio, Marco. "Why Abortion is Bad for America." Human Life Review Winter 2012 2012: 19-26. ProQuest Health Management. Web. Voegeli Jr., William J. â€Å"A Critique of the Pro-Choice Argument† Review of Politics Vol. 43, no. 4 (Oct., 1981) , Pp. 560-571 Published by: Cambridge University Press for the University of Notre Dame Du Lac on Behalf of Review of Politics Stable Print. "World Abortion Laws 2009 Fact Sheet." Center for Reproductive Rights. Center for Reproductive Rights, 2013. Web. 18 Mar. 2014.

Integration

http://sahatmozac. blogspot. com ADDITIONAL MATHEMATICS FORM 5 MODULE 4 INTEGRATION http://mathsmozac. blogspot. com http://sahatmozac. blogspot. com CHAPTER 3 : INTEGRATION Content Concept Map page 2 3–4 5 6 7 8–9 10 – 11 12 4. 1 Integration of Algebraic Functions Exercise A 4. 2 The Equation of a Curve from Functions of Gradients. Exercise B SPM Question Assessment Answer http://mathsmozac. blogspot. com 1 http://sahatmozac. blogspot. com Indefinite Integral a) o o a x n a dx = ax + c. xn+ 1 + c. n+ 1 b) x n dx = c ) o d x = a o x n d x = a n x + n + 1 1 + c . Integration of Algebraic Functions ) ) The [f (x)  ± g(x) ]dx = o f (x) dx  ± d o Equation of a Curve from Functions of Gradients o g(x)dx y = y = o f ‘( x ) d x c, f (x) + http://mathsmozac. blogspot. com 2 http://sahatmozac. blogspot. com INTEGRATION 1. Integration is the reverse process of differentiation. dy 2. If y is a function of x and = f ‘( x) then o f ‘( x)dx = y + c, c = c onstant. dx If dy = f ( x ), then dx o f ( x)dx = y 4. 1. Integration of Algebraic Functions Indefinite Integral a) b) o o a dx = ax + c. n a and c are constants xn+ 1 x dx = + c. n+ 1 n c is constant, n is an integer and n ? – c) o ax dx = a o ax n + 1 x dx = + c. n+ 1 n and c are constants n is an d) o [f ( x )  ± g ( x ) ]dx = o f ( x) dx  ± o g ( x)dx http://mathsmozac. blogspot. com 3 http://sahatmozac. blogspot. com Find the indefinite integral for each of the following. a ) ? 5dx b) ? x 3 dx c) ? 2 x dx 5 d) ? ( x ? 3x 2 )dx Always remember to include ‘+c’ in your answers of indefinite integrals. Solution : a) ? 5dx ? 5x ? c b) 3 ? x dx ? x3? 1 ? c 3 ? 1 x4 = ? c 4 2 c) 5 ? 2 x dx ? 2 x5? 1 ? c 5 ? 1 2 x6 = ? c 6 1 = x6 ? c 3 d) ? ( x ? 3x )dx ? ? xdx ? ? 3x 2 dx = x 2 3 x3 ? ?c 2 3 x2 = ? x3 ? c 2 Find the indefinite integral for each of the following. a) ? ? x ? 3x ? dx 2 x 4 b) ?x ? x 2 4 ? ? ? 3 ? ? dx x ? ? a) Solution : x ? 3Ãâ€"2 ? ? x 4 ?dx ? ? x 3Ãâ€"2 ? ? ? x4 ? x4 ? dx ? ? b) 2 4? ? ? 2 4? ? 3 ? 4 ? dx = ? ? 3x ? 2 ? dx x ? x ? ? ? = ? 3Ãâ€"2 ? 4 x ? 2 dx ? x ? 1 ? 3x 3 = ? 4? c 3 ? ?1 ? 4 = x3 ? ? c x ? ? x? 3 ? 3x? 2 dx ? x? 1 ? x? 2 = ? 3? c ? 2 ? ?1 ? 1 3 =? 2 ? ?c 2x x ? ? ? ? http://mathsmozac. blogspot. com 4 http://sahatmozac. blogspot. com 1. Find ? ? 3x 2 ? 4 x ? 10 dx. ? [3m] 2. Find ? ? x 2 ? 1 ? 2 x ? 3 ? dx. ? [3m] 1? ? 3. Find ? ? 2 x ? ? dx. x? ? 2 [3m] 4. Find ? ? 2x ? ? 3 ?x? 3 ? ? 2 ? dx. 4 x ? [3m] 6x ? 5 5. Integrate with respect to x. x3 [3m] 6. Find ? ?x 5 ? 4Ãâ€"2 2x 4 ? dx [3m] 3 ? ? 7. Find ? x ? 6 ? 6 ? x . x ? ? 2 [3m] 8. Integrate x 2 ? 3x ? 2 with respect to x. x ? 1 [3m] http://mathsmozac. blogspot. com 5 http://sahatmozac. blogspot. com The Equation of a Curve from Functions of Gradients dy ? f ‘( x), then the equation of the curve is dx If the gradient function of the curve is y ? ? f ‘( x ) dx c is constant. y ? f ( x) ? c, Find the equation of the curve that has the gradient function 3x ? 2 and passes through the point (2, ? 3). Solution The gradient function is 3x ? 2. dy ? 3x ? 2 dx y ? ? (3x ? 2)dx y? 3Ãâ€"2 ? 2x ? c 2 The curve passes through the point (2, ? 3). Thus, x = 2, y = ? 3. 3(2) 2 ? 3 ? ? 2x ? c 2 ? 3 ? 6 ? 4 ? c c ? 5 Hence, the equation of curve is y? 3x 2 ? 2x ? 5 2 http://mathsmozac. blogspot. com 6 http://sahatmozac. blogspot. com 1. Given that dy ? 6 x ? 2 , express y in terms of x if y = 9 when x = 2. dx 2. Given the gradient function of a curve is 4x ? 1. Find the equation of the curve if it passes through the point (? 1, 6). 3. The gradient function of a curve is given by dy 48 ? kx ? 3 , where k is a constant. dx x Given that the tangent to the curve at the point (-2, 14) is parallel to the x-axis, find the equation of the curve. http://mathsmozac. blogspot. com 7 http://sahatmozac. blogspot. com SPM 2003- Paper 2 :Question 3 (a) Given that y ? 2 x ? 2 and y = 6 when x = ? 1, find y in terms of x. dx [3 marks] SPM 2004- Paper 2 :Question 5(a) The gradient function of a curve which passes through A(1, ? 12) is 3 x 2 ? 6 x. Find the equation of the curve. [3 marks] http://mathsmozac. blogspot. com 8 http://sahatmozac. blogspot. com SPM 2005- Paper 2 :Question 2 A curve has a gradient function px 2 ? 4 x , where p is a constant. The tangent to the curve at the point (1, 3) is parallel to the straight line y + x ? 5 =0. Find (a) the value of p, [3 marks] (b) the equation of the curve. [3 marks] http://mathsmozac. blogspot. com 9 http://sahatmozac. blogspot. com 1.Find the indefinite integral for each of the following. (a) ? ? 4x 3 ? 3 x ? 2 dx ? (b) 3? x ? ? 2 2 ? 6? ? dx x3 ? 1 ? 2 ( c) (c) ? ? x 5 + 5 6x ? 3 ? ? dx ? ? x2 ? 3 (d) ? ? ? x2 ? ? ? 2 ? ? dx ? ? 2. If dy ? 4 x3 ? 4 x, and y = 0 when x = 2, find y in terms of x. dx http://mathsmozac. blogspot. com 10 http://sahatmozac. blogspot. com 3. If dp v3 ? 2v ? , and p = 0 when v = 0, find the value of p when v = 1. dv 2 4. Find the equation of th e curve with gradient 2 x 2 ? 3 x ? 1, which passes through the origin. 5. d2y dy dy Given that ? 4 x, and that ? 0, y = 2 when x = 0. Find and y in terms 2 dx dx dx of x. http://mathsmozac. blogspot. om 11 http://sahatmozac. blogspot. com EXERCISE A 1) 2) 3) 4) 5) 6) 7) 8) x ? 2 x ? 10 x ? c 3 2 SPM QUESTIONS 1) y ? x2 ? 2x ? 7 2) y ? x3 ? 3 x 2 ? 10 3) p ? 3, y ? x3 ? 2 x 2 ? 4 x4 ? x3 ? 3x ? c 2 4 3 1 x ? 4x ? ? c 3 x 4 2 x x 1 ? ? 3 ? 2x ? c 2 2 x 6 5 ? ? 2 x 2x 2 x 2 ? ?c 4 x 1 2 x3 ? 3 ? c x 2 x ? 2x ? c 2 ASSESSMENT 1) (a ) x 4 ? 3 2 x ? 2x ? c 2 2 3 (b) 3x ? ? 2 ? c x x 6 x 1 (c ) ? ?c 9 24 x 4 x3 9 (d ) ? 6x ? ? c 3 x y ? x4 ? 2 x2 ? 8 p? 7 8 2 3 3 2 x ? x ? x 3 2 2 3 x ? 2 3 EXERCISE B 1) y ? 3x 2 ? 2 x ? 1 3 x 2 24 ? 2 ? 2 2 x 2) 2) y ? 2 x 2 ? x ? 3 3) y ? 3) 4) y? 5) y? http://mathsmozac. blogspot. com 12 http://sahatmozac. logspot. com ADDITIONAL MATHEMATICS FORM 5 MODULE 5 INTEGRATION http://mathsmozac. blogspot. com 13 http://sahatmozac. blogspot. com CONTENT CONCEPT MAP INTEGRATION BY SUBSTITUTION DEFINITE INTEGRALS EXERCISE A EXERCISE B ASSESSMENT SPM QUESTIOS ANSWERS 2 3 5 6 7 8 9 10 http://mathsmozac. blogspot. com 14 http://sahatmozac. blogspot. com CONCEPT MAP INTEGRATION BY SUBSTITUTION un ? ax ? b ? dx ? ? du ? a n DEFINITE INTEGRALS If b d g(x) ? f (x) then dx b where u = ax + b, a and b are constants, n is an integer and n ? -1 OR (a) ? f (x)dx g(x)? ? g(b) ? g(a) a a (b) ? f (x)dx f (x)dx a a b b (c) ? f (x)dx f (x)dx ? ? f (x)dx a b a b c ? ax ? b ? ? ? ax ? b ? dx ? a ? n ? 1? n n ? 1 ? c, where a, b, and c are constants, n is integer and n ? -1 http://mathsmozac. blogspot. com 15 http://sahatmozac. blogspot. com INTEGRATION BY SUBSTITUTION un ? ? ax ? b ? dx ? ? a du n where u = ax + b, a and b are constants, n is an integer and n ? -1 O R ? ax ? b ? ? ? ax ? b ? dx ? a ? n ? 1? n n ? 1 ? c, where a, b, and c are constants, n is integer and n ? -1 Find the indefinite integral for each of the following. (a) ? ? 2 x ? 1? dx 3 (b) ? 4(3 x ? 5)7 dx 2 (c) ? dx (5 x ? 3)3 SOLUTION (a) ? ? 2 x ? 1? dx 3 Let u = 2x +1 du du ? 2 ? dx ? dx 2 3 3 ? du ? ? (2 x ? 1) dx ? ? u ? ? ? ? u3 = ? du 2 u 3 ? 1 = ? c 2(3 ? 1) u4 +c 8 (2 x ? 1) = +c 8 = Substitute 2x+1 and substitute dx with du dx = 2 OR (2 x ? 1) 4 ? c ? (2 x ? 1) dx ? 2(4) 3 = ? 2 x ? 1? 8 4 ?c Substitute u = 2x +1 http://mathsmozac. blogspot. com 16 http://sahatmozac. blogspot. com (b) ? 4(3 x ? 5) dx 7 (c) Let u ? 3 x ? 5 du du ? 3 ? dx ? dx 3 7 4u 7 du ? 4(3 x ? 5) dx ? ? 3 4u 8 = ? c 3(8) u8 ? c 6 (3u ? 5)8 = ? c 6 = 2 dx ? ? 2(5 x ? 3) ? 3 dx (5 x ? 3)3 Let u ? 5 x ? 3 du du ? 5 ? dx ? dx 5 ? 3 2u ? 3 du ? 2(5 x ? 3) dx ? ? 5 2u ? 3 = ? c 5(? 2) ? OR 4(3 x ? 5)8 ? c ? 4(3 x ? 5) dx ? 3(8) 7 u ? 2 ? c ? 5 1 = ? 2 5u 1 =? ?c 5(5 x ? 3)2 = = (3x ? 5)8 ? 6 DEFINITE INTEGRALS If d g ( x) ? f ( x) then dx b (a) (b) ? b a b f ( x)dx ? ? g ( x) ? ? g (b) ? g (a) a ? (c ) ? a b f ( x)dx ? ? ? f ( x)dx a b a f ( x)dx ? ? f ( x)dx ? ? f ( x)dx b a c c http://maths mozac. blogspot. com 17 http://sahatmozac. blogspot. com Evaluate each of the following ( x ? 3)( x ? 3) (a) ? 12 dx x4 1 1 (b) ? 0 dx (2 x ? 1) 2 SOLUTION (a) x2 ? 9 2 ( x ? 3)( x ? 3) ? c ? ?12 4 dx ? 1 x4 x 2 9 ? 2? x = ? 1 ? 4 ? 4 ? dx x ? ?x = ? 12 ( x ? 2 ? 9 x ? 4 )dx ? x ? 1 ? x ? 3 ? ? =? ? 9? ? ? 3 ? ?1 ? ?1 2 2 (b) ?0 1 1 1 dx ? ?0 (2 x ? 1)? 2 dx 2 (2 x ? 1) 1 = ? 0 (2 x ? 1) ? 2 dx ? (2 x ? 1) ? 1 ? =? ? ? ?1(2) ? 0 ? 1 = ? ? 2(2 x ? 1) ? 0 =? ? ? 1 1 ? 2[2(1) ? 1] ? 2[2(0) ? 1] ? 1 1 ? 1 3? = ? 3 ? ? x x ? 1 ? 1 3 ? ? 1 3? = ? 3 ? ? 3 ? ? 2 2 ? ? 1 1 ? 1 3 = ? ? ? (? 1 ? 3) 2 8 1 =? ?2 8 1 =? 2 8 1 ? 1? = ? ? 6 ? 2? 1 = 3 http://mathsmozac. blogspot. com 18 Distributed:18. 1. 09 Return:20. 1. 09 INTEGRATE THE FOLLOWING USING SUBSTITUTION METHOD. (1) ? ( x ? 1)3dx (2) ? ?4 ? 3 x ? 5 ? dx ? 5 (3) ? 1 ? 5 x ? 3? dx 4 1 ? ? (4) ? ? 5 ? x ? dx 2 ? ? ?3 1 ? ? (5) ? 5 ? 4 ? y ? dy 2 ? ? 4 3? 2 ? (6) ? ? 5 ? u ? du 2? 3 ? 5 19 http://sahatmozac. blogspot. com EXERCISE B 8 1. Evaluate ? 3 ( x3 ? 4)dx Answer : 1023. 75 2. Evaluate Answer: 3 ? ?3 1 2 x( x ? x ? 5)dx 8 83 96 ?2 ? 3. Integrate ? x ? 5 ? with respect to x ? 3 ? 4 4. Evaluate ? 1 3 1 ? ? ? 2 ? 3x ? 4 ? dx ? 1 x ? ? 1 Answer: 3 ? 2 ? ? x ? 5? ? c 10 ? 3 ? 5 Answer : 3 5. Evaluate ? 3 1 ? 2 x ? 1 2 x ? 1? dx 4 x2 6. Given that of 2 5 ? 5 2 f ( x)dx ? 10 , find the value 5 Answer: 1 6 ? ? 1 ? 2 f ( x)? dx Answer :17 http://mathsmozac. blogspot. com 20 http://sahatmozac. blogspot. com ASSESSMENT ?6 and 2. (a) ? 5(2 ? 3v) dv 4 (b) ? dx 5 3 ? 1 ? 5 x ? 1. Given that ? 2 2 1 f ( x)dx ? 3 ? 2 3 f ( x)dx ? ?7 . Find (a) the value of k if (b) ? ? kx ? f ( x)? dx ? 8 1 ? ? 5 f ( x) ? 1? dx 3 1 Answer : (a) k = (b) 48 22 3 3.Show that d ? x 2 ? 2 x 2 ? 6 x 4. . ? dx ? 3 ? 2 x ? ? 3 ? 2 x ? 2 4 Given that ? 4 0 f ( x)dx ? 3 and Hence, find the value of Answer : 1 10 ? ? 3 ? 2x ? 0 1 x ? x ? 3? ? 0 g ( x)dx ? 5 . Find 4 0 2 dx . ? f ( x)dx ? ? g ( x)dx (b) ? ?3 f ( x) ? g ( x)? dx (a) 0 4 0 4 Answer: (a) – 15 (b) 4 http://mathsmozac. blogspot. com 21 http://sahatmozac. blogspot. com SPM QUESTIONS SPM 2003 – PAPER 1, QUESTION 17 1. Given that ? SPM 2004 – PAPER 1, QUESTION 22 k n dx ? k ? 1 ? x ? ? c , 2. Given that 1 ? 2 x ? 3? dx ? 6 , where k ; -1 , find the value of k. [4 marks] ? 1 ? x ? find the value of k and n [3 marks] Answer: k = 5 5 Answer: k = ? =-3 3 5 4 SPM 2005 – PAPER 1, QUESTION 21 6 6 3. Given that ? 2 f ( x)dx ? 7 and ? 2 (2 f ( x) ? kx)dx ? 10 , find the value of k. Answer: k = 1 4 http://mathsmozac. blogspot. com 22 http://sahatmozac. blogspot. com ANSWERS EXERCISE A 1. 3 ( x + 1)4 + c 2. 60 (3 x +5) – 4 + c 3. ?20 EXERCISE B 1. 1023. 75 ? 5 x ? 3? 3 ?c 2. 3 83 96 5 4. 3? 1 ? ?5 ? x? ? c 2? 2 ? ? y? ?c ? 6 4 ?2 3 ? 2 ? 3. ? x ? 5? ? c 10 ? 3 ? 1 3 5 5. 1 6 6. 17 1 ? 5. ?10 ? 4 ? 2 ? 6. 4. 3 2 ? ? ? 5 ? 5 ? u ? ? c 3 ? ? ASSESSMENT 22 1. (a) k = 3 (b) 48 2. (a) 90(2 – 3v) +c ? 100 (b) (1 ? 5 x) ? 4 ? c 3 3. 1 10 -5 SP M QUESTIONS 1. k = ? 2. k = 5 3. = 1 4 5 3 n=-3 4. (a) – 15 (b) 4 http://mathsmozac. blogspot. com 23 http://sahatmozac. blogspot. com ADDITIONAL MATHEMATICS MODULE 6 INTEGRATION http://mathsmozac. blogspot. com 24 http://sahatmozac. blogspot. com CHAPTER 3 : INTEGRATION Content Concept Map 9. 1 Integration as Summation of Areas page 2 3 4–6 7–8 9 – 11 12 – 14 15 Exercise A 9. 2 Integration as Summation of Volumes Exercise B SPM Question Answer http://mathsmozac. blogspot. com 25 http://sahatmozac. blogspot. com a) The area under a curve which enclosed by x-axis, x = a and x = b is a) The volume generated when a curve is rotated through 360? bout the x-axis is ? ? b a y dx b) The area under a curve which enclosed by y-axis, y = a and y = b is b a Vx ? ? ? y 2 dx a b x dy b) The volume generated when a curve is rotated through 360? about the y-axis is c) The area enclosed by a curve and a straight line ? ? f ( x) ? g ( x)? dx b a Vy ? ? ? x 2 dy a b http://mathsmozac. blogspot. com 26 http://sahatmozac. blogspot. com 3. INTEGRATION 3. 1 Integration as Summation of Area y y = f(x) b a a b 0 The area under a curve which enclosed by x = a and x = b is x 0 x y = f(x) ? b a ydx The area under a curve which is enclosed by y = a and y = b isNote : The area is preceded by a negative sign if the region lies below the x – axis. ? b a xdy Note : The area is preceded by a negative sign if the region is to the left of the y – axis. The area enclosed by a curve and a straight line y y = g (x) y = f (x) a The area of the shaded region = = b b x ? ? ? f ( x) ? g ( x)? dx a b a a b f ( x)dx ? ? g ( x) http://mathsmozac. blogspot. com 27 http://sahatmozac. blogspot. com 1. Find the area of the shaded region in the diagram. y y = x2 – 2x 2. Find the area of the shaded region in the diagram. y y = -x2 + 3x+ 4 x -1 0 4 0 x http://mathsmozac. blogspot. com 28 http://sahatmozac. logspot. com 3. Find the area of the shaded region y y=2 4. Find the area of the shaded region in the diagram. y y = x2 + 4x + 4 0 x = y2 x -2 -1 0 2 x http://mathsmozac. blogspot. com 29 http://sahatmozac. blogspot. com 5. Find the area of the shaded region in the diagram y 1 x = y3 – y x 6. y y = ( x – 1)2 0 0 x x=k -1 Given that the area of the shaded region in 28 the diagram above is units2. Find the 3 value of k. http://mathsmozac. blogspot. com 30 http://sahatmozac. blogspot. com 3. 2 Integration as Summation of Volumes y y=f(x) The volume generated when a curve is rotated through 360? about the x-axis is 0 a b xVx ? ? ? y 2 dx a b y y=f(x) The volume generated when a curve is rotated through 360? about the y-axis is b a 0 x Vy ? ? ? x 2 dy a b http://mathsmozac. blogspot. com 31 http://sahatmozac. blogspot. com y y=x(x+1) Find the volume generated when the shaded region is rotated through 360? about the x-axis. x 0 Answer : x=2 ? ? ? y 2 dx 0 2 Volume generated ? ? ? x 2 ? x ? 1? dx 2 2 0 ? ? ? ( x 4 ? 2 x3 ? x 2 )dx 0 2 ? x 5 2 x 4 x3 ? ? ? ? ? 4 3 ? 0 ? 5 2 25 2(2)4 23 ? ? ? ? ? ? ? ? 0? 5 4 3? ? 256 1 ? ? @ 17 ? units 3 . 15 15 y y ? 6 ? x2 The figure shows the shaded region that is enclosed by the curve y ? ? x 2 , the x-axis and the y-axis. Calculate the volume generated when the shaded region is revolved through 360? about y-axis. 0 Answer : Given y ? 6 ? x 2 substitute x ? 0 into y ? 6 ? x Then, y ? 6? 0 y? 6 2 x Volume generated ? ? ? x 2 dy 0 6 ? ? ? ? 6 ? y ? dx 6 0 ? y2 ? ? ? ?6 y ? ? 2 ? 0 ? 62 ? ? 6(6) ? 2 ? 18? units 3 . ? ? ? ? 0? ? ? 6 http://mathsmozac. blogspot. com 32 http://sahatmozac. blogspot. com 1. y y = x (2 – x) 0 x The above figure shows the shaded region that is enclosed by the curve y = x (2 – x) and x-axis. Calculate the volume generated when the shaded region is revolved through 360? bout the y-axis. [4 marks] http://mathsmozac. blogspot. com 33 http://sahatmozac. blogspot. com 2. y R (0, 4) Q (3, 4) P (0, 2) y? = 4 (x + 1) 0 x=3 x The f igure shows the curve y ? ( x ? 2) 2 . Calculate the volume generated when the shaded region is revolved through 360? about the x-axis. http://mathsmozac. blogspot. com 34 http://sahatmozac. blogspot. com 3. y R (0, 4) x y ? ? 3? x 0 x=k The above figure shows part of the curve y ? ? 3 ? x and the straight line x = k. If the volume generated when the shaded region is revolved through 1 360? about the x-axis is 12 ? units3 , find the value of k. 2 http://mathsmozac. logspot. com 35 http://sahatmozac. blogspot. com SPM 2003- Paper 2 :Question 9 (b) Diagram 3 shows a curve x ? y 2 ? 1 which intersects the straight line 3 y ? 2 x at point A. y 3 y ? 2x 3y ? 2x x ? y2 ? 1 ?1 0 x Diagram 3 Calculate the volume generated when the shaded region is involved 360? about the y-axis. [6 marks] http://mathsmozac. blogspot. com 36 http://sahatmozac. blogspot. com SPM 2004- Paper 2 :Question 10 Diagram 5 shows part of the curve y ? y 3 ? 2 x ? 1? 2 which passes through A(1, 3). A(1,3) y? 0 a) b) Di agram 5 3 ? 2 x ? 1? 2 x Find the equation of the tangent to the curve at the point A. [4 marks] A egion is bounded by the curve, the x-axis and the straight lines x=2 and x= 3. i) Find the area of the region. ii) The region is revolved through 360? about the x-axis. Find the volume generated, in terms of ? . [6 marks] http://mathsmozac. blogspot. com 37 http://sahatmozac. blogspot. com SPM 2005- Paper 2 :Question 10 In Diagram 4, the straight line PQ is normal to the curve y ? straight line AR is parallel to the y-axis. y x2 ? 1 at A(2, 3). The 2 y? x2 ? 1 2 A(2, 3) 0 R Diagram 4 Find (a) (b) (c) Q(k, 0) x the value of k, [3 marks] the area of the shaded region, [4 marks] the volume generated, in terms of ? when the region bounded by the curve, the y-axis and the straight line y = 3 is revolved through 360? about y-axis. [3 marks] http://mathsmozac. blogspot. com 38 http://sahatmozac. blogspot. com EXERCISE A EXERCISE B 1. 1 1 ? unit 2 15 1. 1 1 units 2 3 5 units 2 6 2. 2. 20 3 6 ? unit 3 5 k ? ?2 3. 3. 2 2 units 2 3 2 units 2 3 SPM QUESTIONS SPM 2003 Volume Generated ? 52 ? units3 15 4. 24 SPM 2004 i) Area ? 1 units 2 5 49 ? units3 1125 5. 1 units 2 2 k? 4 ii) Volume Generated ? 6. SPM 2005 a) k ? 8 1 b) Area ? 12 units2 3 c) Volume Generated ? 4? units? http://mathsmozac. blogspot. com 39

Now That This Paper Has Evaluated Aquinas’S Summa Contra

Now that this paper has evaluated Aquinas’s Summa Contra Gentiles, it will move on to evaluate his next important work. In the years 1265–1274 Aquinas wrote what is considered one of his most prominent works, The Summa Theologiae. In Summa Theologiae (also known as Suma Theologica or simply Summa), Aquinas gave five proofs for the existence of God. This paper will first tell why these proofs are necessary then describe the proofs in themselves. These proofs are necessary because Aquinas believed that the existence of God is not self-evident. A self-evident proposition is one in which the predicate forms part of what is meant by the subject (PUT, 103). Meaning that â€Å"God exists† is not self-evident because we cannot grasp divine essence†¦show more content†¦Therefore anything that is in the process of changing cannot change itself so one thing is changed by another which in turn is changed by yet another (Clark, 122). Eventually, this stream of chang e has to stop somewhere or else there would be no first cause of change and consequently no subsequent causes. So when we come to the first cause that is not changed by anything else, Aquinas believed it is what we understand to be God (Clark, 122-123). The second proof is derived from the nature of causation. Aquinas thought that in the natural world we find causes in a natural order of succession. We never see something causing itself because if we did then it would be pre-existing and this would be impossible (Clark, 123). Every first cause impacts an intermediate (there can be many intermediates) which then impacts a last. You cannot take out any one cause without getting rid of its effects (Clark, 123). So you cannot take out the first cause without losing the intermediates and last causes that follow. Thus Aquinas thought that we must suppose a first cause, which is God (Clark, 123). The third proof addresses the issue of what is unnecessary and what is unnecessary. Our experience has shown us that in life there are things that are necessary and things that are unnecessary. Things that are