How to write an essay in english: November 2019

Wednesday, November 27, 2019

Article Summaries Essays - Abstract Art, Alceo Dossena, Takpr, Above

Article Summaries Essays - Abstract Art, Alceo Dossena, Takpr, Above Article Summaries Article 1- Excavating Egypt (Newsprint) This article tells of a typical working day for an archaeologist in Egypt. It tells of an experienced archaeologist named, Dr. David OConnor. He speaks of his working site, Abydos, and tells of what he has discovered since he started working on the site. In his 30 years of working there, he has uncovered 12 wooden boats, each about 60 feet long encased in 96-foot graves. He has also found the remains of an entire settlement covering about 16 acres. He annually spends up to $150,000 to pay of his fellow archaeologists and his laborers. He does receive funds from private institutions and government agencies to help support his effort in Abydos. In reading this article, I have become puzzled as to how so many people working there can split $150,000. It says that 20-25 scientists and 30-60 laborers are employed. I understand that he does receive funds from institutions, but I would not think that it would be upwards of enough money to support so many people. I have always respected archaeologists for what they do but now I have a deeper respect for Egyptian archaeologists. I do hope to visit Egypt someday though and experience what it is like firsthand. Article 2- Cosmetic Surgery Discovered on Ancient Roman Portrait (Newsprint) This article tells of artists in the modern day performing work on damaged ancient artifacts. It specifies on a head statue that was received as a gift by the Nelson-Atkins Museum. Scientists noticed some unusual features on the statues head and investigated it to discover that somebody had fixed it up before it was given to them. They used gamma-radiographs to find that somebody had fixed the heads broken neck with metal dowels and clamps. I found it pretty remarkable that some people may get away doing this without anybody knowing of it. It makes me wonder if some of the great artifacts that we have on display today have been tampered with and that they may not be 100% ancient. I dont see that there is anything wrong with this. Id rather look at a fixed up display than view one that has been badly damaged and is hard to make out. Article 3- Faking It: A Forgers Biography (Newsprint) This article tells of a modern day man, Alceo Dossena (1878-1937), and his ability to create artificial art pieces of ancient civilizations. He created sculptures in almost every style: Greek, Etruscan, Gothic and Italian Renaissance. He would sculpt them, then age them by giving them acid baths and then would proceed to bury them, allowing them to age. He was able to fool some of the greatest historians and scientists in the world. One of his art pieces was sold to a dealer who then sold it for $225,000, the highest price of any of Dossenas artworks. Dossena claimed that he did not make his art to cheat people out of their money. He then sued his dealer and won. When reading this article, I began to wonder if some of the great artworks today might be fake. Perhaps someone painted or sculpted them earlier in the century, and sold it off as an ancient work of art. I am reluctant to think that it happens more often than not. It probably doesnt work on the level of great museums, but it might work on unsuspecting dealers looking to get rich. Article 4- Joined by a Bridge This article is really interesting for it tells of a man, William Cochran, and is efforts of painting a bridge. When the subject came up of covering a small stone bridge in Frederick, Maryland, Cochran ran this suggestion by and it was approved. Many residents rejected the idea at first and would vandalize the work that had been done up to date. As soon as his efforts came to an end, the bridge was seen as a tourist attraction for the city. Since its completion, there have been many other paintings added onto the bridge by suggestion of the townspeople. Before reading this article, I had no clue that something like this could be done. I am interested in how he went about doing this. I am also interested in whether or not this bridge is allowed to have cars pass over it. Someday if I make it to Frederick, Maryland, Ill head over to the bridge and find out for myself. Article 5- Walking Encyclopedia This article tells a small town, Columbus, in Indiana and its claim to fame through architecture. The town is nationally known

Sunday, November 24, 2019

Biography of Betty Friedan, Feminist, Writer, Activist

Biography of Betty Friedan, Feminist, Writer, Activist Betty Friedan (February 4, 1921Ã¢â‚¬â€œFebruary 4, 2006) was an author and activist whose seminal 1963 book The Feminine Mystique is credited with helping spark the modern feminist movement in the United States. Among her other accomplishments, Friedan was the founder and first president of the National Organization for Women (NOW). Fast Facts: Betty Friedan Known For: Helping spark the modern feminist movement; founder and first president of the National Organization of WomenAlso Known As: Betty Naomi GoldsteinBorn: February 4, 1921 in Peoria, IllinoisParents: Harry M. Goldstein, Miriam GoldsteinÃ‚ Horwitz OberndorfDied: February 4, 2006 in Washington, D.C.Education: Smith CollegeÃ‚ (BA), University of California, Berkeley (M.A.)Published Works: The Feminine Mystique (1963), The Second Stage (1981), Life so Far (2000)Awards and Honors: Humanist of the Year from the American Humanist Association (1975), Mort Weisinger Award from the American Society of Journalists and Authors (1979), Induction into the National Womens Hall of Fame (1993)Spouse: Carl Friedan (m. 1947Ã¢â‚¬â€œ1969)Children: Daniel, Emily, JonathanNotable Quote:Ã‚ A woman is handicapped by her sex, and handicaps society, either by slavishly copying the pattern of mans advance in the professions or by refusing to compete with man at all. Early Years Friedan was born on February 4, 1921, in Peoria, Illinois as Betty Naomi Goldstein. Her parents were immigrant Jews. Her father was a jeweler and her mother, who had been an editor of the womens pages of a newspaper, left her job to become a homemaker. Bettys mother was unhappy in that choice, and she pushed Betty to get a college education and pursue a career. Betty later dropped out of her doctoral program at the University of California at Berkeley, where she was studying group dynamics, and moved to New York to pursue a career. During World War II, she worked as a reporter for a labor service, and had to give up her job to a veteran who returned at the end of the war. She worked as a clinical psychologist and social researcher along with being a writer. She met and married theatrical producer Carl Friedan, and they moved to Greenwich Village. She took a maternity leave from her job for their first child; she was fired when she asked for maternity leave for her second child in 1949. The union gave her no help in fighting this firing, and so she became a housewife and mother, living in the suburbs. She also wrote freelance magazine articles, many for magazines directed at the middle-class housewife. Survey of Smith Graduates In 1957, for the 15th reunion of her graduating class at Smith, Friedan was asked to survey her classmates on how theyd used their education. She found that 89% were not using their education. Most were unhappy in their roles. Friedan analyzed the results and consulted experts. She found that both women and men were trapped in limiting roles. Friedan wrote up her results and tried to sell the article to magazines but could find no buyers. So she turned her work into a book, which was published in 1963 as The Feminine Mystique. It became a best-seller, eventually translated into 13 languages. Celebrity and Involvement Friedan also became a celebrity as a result of the book. She moved with her family back to the city and she became involved in the growing womens movement. In June 1966, she attended a Washington meeting of state commissions on the status of women. Friedan was among those present who decided that the meeting was unsatisfying, as it didnt generate any actions to implement the findings on the inequality of women. So in 1966, Friedan joined other women in founding the National Organization for Women (NOW). Friedan served as its first president for three years. In 1967, the first NOW convention took on the Equal Rights Amendment and abortion, though NOW viewed the abortion issue as highly controversial and focused more on political and employment equality. In 1969, Friedan helped found the National Conference for the Repeal of Abortion Laws to focus more on the abortion issue; this organization changed its name after the Roe v. Wade decision to become the National Abortion Rights Action League (NARAL). In that same year, she stepped down as NOW president. In 1970, Friedan led in organizing the Womens Strike for Equality on the 50th anniversary of winning the vote for women. The turnout was beyond expectations; 50,000 women participated in New York alone. In 1971, Friedan helped form the National Womens Political Caucus for feminists who wanted to work through the traditional political structure, including political parties, and running or supporting women candidates. She was less active in NOW, which became more concerned with revolutionary action and sexual politics; Friedan was among those who wanted more focus on political and economic equality. Lavender Menace Friedan also took a controversial stand on lesbians in the movement. NOW activists and others in the womens movement struggled over how much to take on issues of lesbian rights and how welcoming to be of movement participation and leadership by lesbians. For Friedan, lesbianism was not a womens rights or equality issue but a matter of private life, and she warned the issue might diminish support for womens rights, using the term lavender menace. Later Years and Death In 1976, Friedan published It Changed My Life, with her thoughts on the womens movement. She urged the movement to avoid acting in ways that made it difficult for mainstream men and women to identify with feminism. By the 1980s, she was more critical of the focus on sexual politics among feminists. She published The Second Stage in 1981. In her 1963 book, Friedan wrote of the feminine mystique and the housewifes question, Is this all? Now Friedan wrote of the feminist mystique and the difficulties of trying to be Superwoman, doing it all. She was criticized by many feminists as abandoning the feminist critique of traditional womens roles, while Friedan credited the rise of Reagan and rightwing conservatism and various Neanderthal forces to the failure of feminism to value family life and children. In 1983, Friedan began to focus on researching fulfillment in the older years, and in 1993 published her findings as The Fountain of Age. In 1997, she published Beyond Gender: The New Politics of Work and Family Friedans writings, from The Feminine Mystique through Beyond Gender, were also criticized for representing the viewpoint of white, middle-class, educated women and for ignoring other womens voices. Among her other activities, Friedan often lectured and taught at colleges, wrote for many magazines, and was an organizer and director of the First Womens Bank and Trust. Friedan died on February 4, 2006, in Washington, D.C. Legacy Despite all of her later work and activism, it was the The Feminine Mystique that truly launched the second-wave feminist movement. It has sold several million copies and been translated into multiple languages. It is a key text in WomenÃ¢â‚¬â„¢s Studies and U.S. history classes. For years, Friedan toured the United States speaking about The Feminine Mystique and introducing audiences to her groundbreaking work and to feminism. Women have repeatedly described how they felt when reading the book: They realized they were not alone and that they could aspire to something more than the life they were being encouraged or even forced to lead. The idea Friedan expresses is that if women escaped the confines of Ã¢â‚¬Å"traditionalÃ¢â‚¬ notions of femininity, they could then truly enjoy being women. Sources Friedan, Betty.Ã‚ The Feminine Mystique. W.W. Norton Company, 2013.Ã¢â‚¬Å"Betty Friedan.Ã¢â‚¬ Ã‚ National Womens History MuseumFindagrave.com. Find a Grave.

Thursday, November 21, 2019

INSTRUCTIONAL PLANNING & DESIGN Essay Example | Topics and Well Written Essays - 500 words

Wednesday, November 20, 2019

A mobile application tool, which uses persuasive design to encourage Literature review

A mobile application tool, which uses persuasive design to encourage young adults to make healthier food alternatives - Literature review Example Furthermore, the chapter is also based on reviewing the works of different authors about the aspects of balanced diet, the development of eating behaviour risks owing to unhealthy eating along with parentsÃ¢â‚¬â„¢ role in shaping the behaviour towards food choices. Different persuasive technologies that are used for shaping the attitudes of people towards healthy food choices have also been described in this chapter. 2.2 Unhealthy Eating Behaviours and Obesity Poor eating behaviour is regarded as a key public concern within young adults particularly during educational and early career life (Hampshire County Council, 2007). During this time, they are exposed to a lot of pressure from study and work related circumstances in order to meet the daily requirements and at times they find themselves in a prevalent scenario wherein they hardly find time to eat healthy foods in a regular expected duration, thereby they often revert to unhealthy food options (Hampshire County Council, 2007). Th ese aspects generate a barrier against the adoption of healthy behaviour such as unhealthy eating habits and substance abuse among others (Hampshire County Council, 2007). Although these behaviours are regarded as temporary, at this age, the unhealthy eating habits can persist in the life of older adults (Hampshire County Council, 2007). Rapid changes in physical health and psychological developments have positioned young grownups as a nutritionally vulnerable group with weak eating behaviours who are unable to satisfy the dietary requirements (Hampshire County Council, 2007). Therefore, it can be recognised that in order to tackle the scenario of unhealthy eating behaviours and allied obesity, there is a requirement for young adults to focus on consuming a balanced diet which can enable them to nurture desired physical developments. 2.2.1 What Is a Balanced Diet In order to encourage healthy eating practices, balanced diet is important for young adults. According to School of Publi c Health (n.d.), balanced diet supports good health and helps to maintain a fit body for individuals. The development of a healthy eating habit facilitates an individual to become easily accustomed to balanced food intake behaviour. . For any balanced diet, it is particularly important to obtain the right amount and right type of foods. Unfortunately, most of the young individuals do not consume healthy diets which at times result in the creation of heart related illness and overweight (School of Public Health, n.d.). Along with ensuring a focus on balanced diet, there is a profound need to derive an understanding of how eating behaviours of young individuals are developed. 2.2.2 How Eating Behaviours Are Developed of Young Adults There are several aspects which determine the eating behaviour among individuals. For example, according to King & et. al. (2007), at times environmental factors bring about unhealthy behaviours among young adults. The growing number of shopping malls, con venience stores, restaurants and fast

Sunday, November 17, 2019

Db1 managing organizational change Research Paper

Db1 managing organizational change - Research Paper Example In order to maintain customer preference and ensure continued growth within the corporation, McDonaldÃ¢â‚¬â„¢s leadership introduced a business strategy based on maintaining the current customer and ensuring that these customers are able to get the preferred flavors and taste in all McDonald restaurants. This strategy saw the increase in the CompanyÃ¢â‚¬â„¢s profits and sales. The company also introduced a new strategy that involved product development focusing on the entire market, which in turn increased the companyÃ¢â‚¬â„¢s market share, as many people preferred McDonald products (McDonald Corporation, 2013). This strategy focused on consistency of the companyÃ¢â‚¬â„¢s products via development of sophisticated supplier network operation and intensive distribution channel. By establishing a sophisticated supplier system and distribution channel, the firm has been in a position to attain product consistency and quality across the countries globally. As part of its planning process, the introduction of act like retailer or merchant imagine or think like brand motto helped the company to depend on conveying or delivering sales instantly and guarding brand name or status (McDonald Corporation, 2013). The service quality strategy involved acting like a retailer, but thinking like a brand illustrated the power of change and focus on service quality. Consequently, the franchise model ensured that the different units operated in a semi-autonomous way, which ensured that the brand is established in the international market. The focus of the organization is on the quality of the products and high level of service given to the customers. The use of the Barbie Toys with the happy meals repeatedly has ensured consistence and preference of the products by the consumers. These toys have become a useful segment for the collectors of both the McDonalds and Barbie toys (McDonald Corporation,

Friday, November 15, 2019

The Co-op Rebuild Plan: Strategy and Governance

The Co-op Rebuild Plan: Strategy and Governance Current position of the company; 3 Year Re-build Plan Co-op is currently in the midst of its 3 year rebuild plan which was first presented in 2014 following the financial crisis related to their banking division. Since then there has been a large investment into their workforce with as many as 5,400 managers attending Being a Co-op Leader events and over 70,000 members embarking on Back to Being Co-op sessions intending to revitalise and reassure them. There has also been a focus on giving back, instances of this include a partnership with the British Red Cross which has already raised over Ã‚ £1m in a span of 8 months raising awareness of loneliness and isolation as well as their commitment to increase their number of British suppliers. Backing British is a cornerstone of the Co-ops food strategy and the retailer has pledged to increase the number of small suppliers it works with to 1,200 by the end of 2017. These are part of a number of aims Co-op has committed to achieving in the near future including; Aiming to double their number of local UK suppliers Aiming to make 80% of packaging used recyclable by 2020 Investing a minimum of Ã‚ £1.5bn in sourcing of UK meat and vegetables Co-ops current focus lies in providing a convenience, own-brand led shopping experience which has result in the sale of 298 of their smaller food stores to McColls Retail Group plc. This was spurred on by like-for-like sales growth of 4% in the year to April 2016. As part of this they have introduced a new membership reward scheme which launched in October 2016. Over 500,000 people have paid Ã‚ £1 to join the new Co-op membership scheme (over 250,000 people have taken out full membership and over 250,000 have taken out temporary cards) Research conducted by the company has concluded that engaged customers are more likely to spend more and are less sensitive to price changes. As such the new membership is designed to get members engaged with all Co-op subsidiaries due to the blanket 5% cash back reward for any purchases made of Co-op products or services. This will be the UKs biggest mutual and is estimated to hand back Ã‚ £100m in 2018. A further 1% will benefit local causes through a new community reward scheme. The Co-op has identified 1,500 communities around the Food stores and Funeral care homes in its trading areas where members will initially choose the local cause they want to support from a list of three selected by colleagues in that community. The scheme is backed by a commitment to stretching targets. By the end of 2018 The Co-op is aiming to: Recruit one million new members Increase the percentage of sales coming from members to 50% from around 20% currently Return an additional Ã‚ £3m in benefits to producer communities operating under the Fairtrade scheme by extending sourcing commitments Make digital work for members across our businesses and seeking new digital opportunities to Co-operate in communities Over the first 10 weeks of the trial and based on year-on-year comparisons, transaction numbers, turnover and the sales of the Co-ops own-brand product range have all seen marked increases. The net affect has been that almost Ã‚ £100,000 has been generated through the 1% community element in support of local good causes. Co-op Governance In response to the previous financial crisis as part of their first Annual General Meeting a vote was passed to ensure that the board of directors will include a majority of independent directors as well as three positions for member-nominated directors. The new rules were introduced to also protect against de-mutualisation. The recent elections at the last AGM in 2016 were aimed at strengthening their governance and oversight. The overview of appointments were; Margaret Casely-Hayford and Hazel Blears were elected as Member Nominated Directors to represent members interests on the Group Board. Lord Victor Adebowale, Simon Burke, Peter Plumb and Stevie Spring were elected as Independent Non-Executive Directors. Richard Pennycook and Ian Ellis were elected as Executive Directors. CEO Richard Pennycook has also requested that his remuneration package be reduced substantially as a result of the company turning a corner from rescue to rebuild and that the current calm waters do not necessitate his current remuneration. Following discussions, and with the full agreement of the Board, his maximum total remuneration will fall by nearly 60% falling below organisational median for his position.

Tuesday, November 12, 2019

History of Punjab: State of Sikh Religion :: World History

History of Punjab: State of Sikh Religion Punjab, state in northwestern India,bordered on the north by Jammu and Kashmir state and Himachal Pradesh state, on the east and south by Haryana state, on the south and southwest by Rajasthan state, and on the west by Pakistan. Punjab state lies between the great systems of the Indus and Ganges river. Punjab had a population of 20,281,969. ChandÃƒ ®garh is the state capital. The population of Punjab consists mainly of Punjabis, Jats, and Rajputs. The official language is Punjabi. The majority of the population is Sikh, the largest minority is Hindu, and a very small percentage is Muslim, Buddhist, Christian, or Jain. 59% of Punjab population is literate. Universities located in the state include Guru Nanak Dev University in Amritsar, Punjab Agricultural University in Ludhiana, and Punjabi University in Patiala. More than 80 percent of Punjab is cultivated, and farming is the leading occupation. The major crops are wheat, maize, rice, pulses, sugarcane, and cotton.The industries include the manufacture of textiles, sewing machines, sporting goods, starch, fertilizers, bicycles, scientific instruments, electrical goods, and machine tools, and the processing of sugar and pine oil. I am proud to be Punjabi because of pure and rich culture of that state. Punjabis' are famous all around the world and can be easily found in any corner of the world. ANCIENT CIVILIZATION: Punjab is the birth place of Indus Valley Civilization, which is more than 4000 years old. Harappa and Mohenjodaro civilization, along the banks of the Indus in Punjab is also the most ancient and famous civilization in the world history. Punjab is also the birth place of many Saints belong to Sikh and Hindu religion. Aryan Migration: During ancient Punjab takes small scale migrations by the Aryans from the North-West (1500-100 BC). The next thousand year they live in Punjab, they settled never Indus Basin where the oldest books of human history called the Rig-Vedas are supposed to have been written. The language of Aryans was Sanskrit. Persian Rule: Punjab shared lot of history with great Persian empires. Punjab came under their control from time to time. Darius the great, the Persian king attacked Punjab and occupied many parts of Punjab. At last the Punjab was full invaded by the Persian King Gustasp in 516 BC. Punjab became the wealthiest Satrapy i.e., the province in the Persian kingdom. Punjab became the heart of the Persian Empire.

Sunday, November 10, 2019

To What Extent Are Ethical Theories Helpful When Considering the Issues Surrounding Homosexualit

To what extent are ethical theories helpful when considering the issues surrounding homosexuality? Many ethical theories can be used to discuss and interpret the issues surrounding homosexuality. I shall begin by outlining some relevant views, from the perspective of Virtue, Utilitarianism, Natural Law, Christian Ethics and Kant Christian Ethics can be separated into difference sections as there does not appear to be one single Christian view on homosexuality . At a glance, many Christians interpret passages in the Bible as condemning homosexuality and something that people should be cured of.The Protestant approach is Ã¢â‚¬Ëœto love the sinner and hate the sinÃ¢â‚¬â„¢ which would mean that the practice of homosexual acts is wrong, but homosexuals themselves ought to be loved. The Roman Catholic approach teaches similarly- there is nothing wrong with being homosexual, but a homosexual act is a sin. They would say then that a homosexual must commit themselves to celibacy, a view influ enced by Paul. There are more liberal approaches within Christianity where homosexuality is not an issue, as long as the relationship is stable and committed; the same as a heterosexual relationship.This view is also founded on Bible teachings- if God created man in his image and God is perfect, then all people are good because God made them either straight or gay. AquinasÃ¢â‚¬â„¢ Natural Law states that the purpose of sex is purely procreation and as homosexuality can never result in a child, it defies Natural Law and must be wrong. The primary precept of Ã¢â‚¬ËœContinuation of the species through reproductionÃ¢â‚¬â„¢ is also violated by the concept of homosexuality for the same reason.It also involves sex outside of marriage which Aquinas also: Aquinas, the behind natural law also condemned homosexuality as Ã¢â‚¬ËœunnaturalÃ¢â‚¬â„¢, so natural Law clearly has very strong views against homosexuality. Utilitarianism would currently view all sexualities as viable as it is likely ther e are more gay people than people who are upset by homosexuality, therefore it is the greatest good for the greatest number. However, were the majority of earthÃ¢â‚¬â„¢s population to become homosexual, Utilitarianism would no longer approve as it would not lead to the continuation of the human race, which would be not good for a great number of people.Utilitarianism holds a fairly liberal view on homosexuality, saying that there may be a situation in which there is a happier homosexual couple than a heterosexual couple, in which in fairness to the homosexual couple, it would be right to allow them the happiness of being in a relationship. However they may also say that homosexuality is currently held in a somewhat negative view by man people, and that their happiness is in question if they are an Ã¢â‚¬ËœoutcastÃ¢â‚¬â„¢ in society.The first maxim of KantÃ¢â‚¬â„¢s Categorical Imperative could be a problem with homosexuality as it implies that if you are homosexual everyone else ought to be toÃ‚ . Universalisation says that we should apply homosexuality as a maxim and apply it to everyone; however this would lead to a problem, as the continuation of the species would not occur. We could however adjust this maxim for sexuality, however, this may be moving away from the absolutist nature of Kants categorical imperative. He also states that marriage is the only place in which sex may take place. However, were gay marriage to become legal Kant may approve.FletcherÃ¢â‚¬â„¢s Situation ethics encourages only the most loving thing, which would mean that the only thing that would be wrong according to it is sex without a loving commitment. This would mean that there is no problem with being homosexual and relationships are fine as long as they are loving and committed. In Christian Ethics there appear to be many contradictions in approaches to homosexuality. Where many say the Bible condemns homosexuality, others say that the most important message of the Bible is to lo ve your neighbour, which would of course include homosexuals.As well as this, there is the question of such an ancient textsÃ¢â‚¬â„¢ relevance in contemporary culture. Many messages of the Bible are ignored and dismissed as culturally irrelevant, for example, many messages about the rights and roles of women, as if the Bible and the Church have managed to change the views on the role of women, they could indeed do the same for homosexuality. It could be argued that we should prioritize loving everyone over condemning homosexuality. For this reason, it isnÃ¢â‚¬â„¢t a very good theory to refer to when exploring the issues of homosexuality. Natural Law, however, is much easier to understand.It has the advantage of having no room for misinterpretation and can be totally universal and absolutist. The only problem with it is that perhaps it is not in fact natural for humans to follow such strict laws. it is not liberal enough to allow for a loving relationship between homosexuals Utilitar ianism seems like a good theory to apply when looking at fairness in sexual ethics. As long as there are more homosexual people than people who dislike homosexuals and enough heterosexual people for continuation of the species to happen, all sexualities are fine and the majority of the human race ought to be content.The issue with KantÃ¢â‚¬â„¢s approach is the fact that the maxim of universalisation is difficult to apply to sexual ethics. As you canÃ¢â‚¬â„¢t universalize homosexual sex as it would make continuation of the species impossible, Kant cannot condone this. However, this creates countless other problems when you think about how complex it would be to actually apply universalisation to every single aspect of sexuality. If we choose to ignore universalisation because we might not be able to continue the species at all if we were to stick to it entirely, we can then look to KantÃ¢â‚¬â„¢s rule of no sex outside marriage. This is, of course, much easier to follow.FletcherÃ¢â‚¬â „¢s Situation Ethics following the cause of Agape seems the best approach to issues surrounding homosexuality. It can be universalized easily- have sex only in a loving committed relationship and is easy to remember and maintain. It does not discriminate between sexual preferences and should end with as many people happy as possible. In conclusion, there are many ways in which ethical theory can be used to address issues surrounding homosexuality. It is perfectly possible to be ethically sound and homosexual simultaneously, main problems arrive when we consider rules about procreation and the continuation of the species To What Extent Are Ethical Theories Helpful When Considering the Issues Surrounding Homosexualit To what extent are ethical theories helpful when considering the issues surrounding homosexuality? Many ethical theories can be used to discuss and interpret the issues surrounding homosexuality. I shall begin by outlining some relevant views, from the perspective of Virtue, Utilitarianism, Natural Law, Christian Ethics and Kant Christian Ethics can be separated into difference sections as there does not appear to be one single Christian view on homosexuality . At a glance, many Christians interpret passages in the Bible as condemning homosexuality and something that people should be cured of.The Protestant approach is Ã¢â‚¬Ëœto love the sinner and hate the sinÃ¢â‚¬â„¢ which would mean that the practice of homosexual acts is wrong, but homosexuals themselves ought to be loved. The Roman Catholic approach teaches similarly- there is nothing wrong with being homosexual, but a homosexual act is a sin. They would say then that a homosexual must commit themselves to celibacy, a view influ enced by Paul. There are more liberal approaches within Christianity where homosexuality is not an issue, as long as the relationship is stable and committed; the same as a heterosexual relationship.This view is also founded on Bible teachings- if God created man in his image and God is perfect, then all people are good because God made them either straight or gay. AquinasÃ¢â‚¬â„¢ Natural Law states that the purpose of sex is purely procreation and as homosexuality can never result in a child, it defies Natural Law and must be wrong. The primary precept of Ã¢â‚¬ËœContinuation of the species through reproductionÃ¢â‚¬â„¢ is also violated by the concept of homosexuality for the same reason.It also involves sex outside of marriage which Aquinas also: Aquinas, the behind natural law also condemned homosexuality as Ã¢â‚¬ËœunnaturalÃ¢â‚¬â„¢, so natural Law clearly has very strong views against homosexuality. Utilitarianism would currently view all sexualities as viable as it is likely ther e are more gay people than people who are upset by homosexuality, therefore it is the greatest good for the greatest number. However, were the majority of earthÃ¢â‚¬â„¢s population to become homosexual, Utilitarianism would no longer approve as it would not lead to the continuation of the human race, which would be not good for a great number of people.Utilitarianism holds a fairly liberal view on homosexuality, saying that there may be a situation in which there is a happier homosexual couple than a heterosexual couple, in which in fairness to the homosexual couple, it would be right to allow them the happiness of being in a relationship. However they may also say that homosexuality is currently held in a somewhat negative view by man people, and that their happiness is in question if they are an Ã¢â‚¬ËœoutcastÃ¢â‚¬â„¢ in society.The first maxim of KantÃ¢â‚¬â„¢s Categorical Imperative could be a problem with homosexuality as it implies that if you are homosexual everyone else ought to be toÃ‚ . Universalisation says that we should apply homosexuality as a maxim and apply it to everyone; however this would lead to a problem, as the continuation of the species would not occur. We could however adjust this maxim for sexuality, however, this may be moving away from the absolutist nature of Kants categorical imperative. He also states that marriage is the only place in which sex may take place. However, were gay marriage to become legal Kant may approve.FletcherÃ¢â‚¬â„¢s Situation ethics encourages only the most loving thing, which would mean that the only thing that would be wrong according to it is sex without a loving commitment. This would mean that there is no problem with being homosexual and relationships are fine as long as they are loving and committed. In Christian Ethics there appear to be many contradictions in approaches to homosexuality. Where many say the Bible condemns homosexuality, others say that the most important message of the Bible is to lo ve your neighbour, which would of course include homosexuals.As well as this, there is the question of such an ancient textsÃ¢â‚¬â„¢ relevance in contemporary culture. Many messages of the Bible are ignored and dismissed as culturally irrelevant, for example, many messages about the rights and roles of women, as if the Bible and the Church have managed to change the views on the role of women, they could indeed do the same for homosexuality. It could be argued that we should prioritize loving everyone over condemning homosexuality. For this reason, it isnÃ¢â‚¬â„¢t a very good theory to refer to when exploring the issues of homosexuality. Natural Law, however, is much easier to understand.It has the advantage of having no room for misinterpretation and can be totally universal and absolutist. The only problem with it is that perhaps it is not in fact natural for humans to follow such strict laws. it is not liberal enough to allow for a loving relationship between homosexuals Utilitar ianism seems like a good theory to apply when looking at fairness in sexual ethics. As long as there are more homosexual people than people who dislike homosexuals and enough heterosexual people for continuation of the species to happen, all sexualities are fine and the majority of the human race ought to be content.The issue with KantÃ¢â‚¬â„¢s approach is the fact that the maxim of universalisation is difficult to apply to sexual ethics. As you canÃ¢â‚¬â„¢t universalize homosexual sex as it would make continuation of the species impossible, Kant cannot condone this. However, this creates countless other problems when you think about how complex it would be to actually apply universalisation to every single aspect of sexuality. If we choose to ignore universalisation because we might not be able to continue the species at all if we were to stick to it entirely, we can then look to KantÃ¢â‚¬â„¢s rule of no sex outside marriage. This is, of course, much easier to follow.FletcherÃ¢â‚¬â „¢s Situation Ethics following the cause of Agape seems the best approach to issues surrounding homosexuality. It can be universalized easily- have sex only in a loving committed relationship and is easy to remember and maintain. It does not discriminate between sexual preferences and should end with as many people happy as possible. In conclusion, there are many ways in which ethical theory can be used to address issues surrounding homosexuality. It is perfectly possible to be ethically sound and homosexual simultaneously, main problems arrive when we consider rules about procreation and the continuation of the species

Friday, November 8, 2019

Blaschkos Lines and Invisible Stripes on Human Skin

Blaschko's Lines and Invisible Stripes on Human Skin Unless you have one of a number of skin diseases, you may not realize you have stripes, much like those on a tiger! Ordinarily, the stripes are invisible, though you can see them if you shine an ultraviolet or black light over your body. What Are Blaschko's Lines? TheÃ‚ Lines of Blaschko orÃ‚ Blaschkos lines make V-shaped stripes down your back, u-shapesÃ‚ on your chest and stomach, simple stripes on your arms and legs, and waves on your head. The stripes were first described by GermanÃ‚ Alfred Blaschko in 1901. Blaschko was a dermatologist who observed pigmented patterns in people with certain skin diseases. The patterns are also visible in people with chimerism. A chimera begins as two cells that have different DNA from each other. As these cells grow and divide, they contain slightly different instructions on how to produce proteins, including pigments. The lines dont follow blood vessels, nerves, or lymphatic vessels, believed instead to reflect the migration of embryonic skin cells. Under ordinary conditions, skin cells are programmed to produce the same amount of pigment as each other, so the stripes arent noticeable. The slight differences are more obvious under the higher energy of ultraviolet light. Other animals besides humans display Blaschko lines, including cats and dogs. How To See Your Human Stripes Whether or not you can view your own human stripes depends on your natural skin pigmentation and the type of UV light you use. Not all black lights are sufficiently energetic to make the lines visible. If you want to try to view your own stripes. youll need a dark room and a mirror. Shine the black light over exposed skin and look for the pattern. Conditions Where Human Stripes Are Visible Several skin disorders may follow Blaschkos lines, making them visible. These conditions may be inherited or acquired. Sometimes the stripes are visible throughout life. Under other conditions, they appear and then fade. While its possible for the whole body to be affected, many times the lines only appear on a single limb or region. Here are some examples of skin conditions associated with Blaschkos lines. Congenital Skin Disorders linear sebaceous naevus (lifelong)unilateral naevoid telangiectasia (lifelong) Acquired Skin Disorders lichen striatus (one to two years)linear psoriasisÃ‚ (one to two years)linear scleroderma Genetic Skin Disorders Conradi-Hunermann syndromeMenkeÃ¢â‚¬â„¢s syndrome How Are Blaschko's Lines Treated? If Blaschkos lines were simply stripes, treatment might be as simple as applying make-up or a drug to fade the pigment. Sometimes Blaschkos lines only affect skin pigmentation. However, the marks associated with skin conditions may present as dermatitis, with papules and vesicles. In some cases, corticosteroids may improve skin health. Treatments that reduce physical and emotional stress and address the underlying cause of the condition may also help.

Wednesday, November 6, 2019

Models of Health Behavior Essays

Models of Health Behavior Essays Models of Health Behavior Paper Models of Health Behavior Paper Note: If candidate uses incorrect formula: maximum 1/4 marks (for standard form) substitution into correct formula Note: If an error in subs and 4 Ã‚ ± ? 80 gets: and 6 states Ã¢â‚¬Å"no solutionÃ¢â‚¬ : maximum 3/4 marks 4 Ã‚ ± 16 + 96 6 4 Ã‚ ± 112 = 6 2Ã‚ ±2 7 = 3 = 2,43 or ? 1,10 112 If doesnÃ¢â‚¬â„¢t conclude with Ã¢â‚¬Å"no solutionÃ¢â‚¬ : maximum 2/4 marks 4 Ã‚ ± 112 or 6 decimal answer (4) Copyright reserved Mathematics/PI 3 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 OR 3x 2 ? 4 x = 8 3x 2 ? 4 x ? 8 = 0 x= = ? b Ã‚ ± b ? 4ac 2a ? (? 4) Ã‚ ± 2 (? 4)2 ? 4(3)(? 8) 2(3) Note: Penalise 1 mark for inaccurate rounding off to ANY number of decimal places if candidate gives decimal answers tandard form substitution into correct formula answer answer (4) = 2,43 or ? 1,10 1. 1. 3 4 x 2 + 1 ? 5x (4 x ? 1)(x ? 1) ? 0 + 0 1 4 x? OR 4 x 2 ? 5x + 1 ? 0 factors ? 0 1 + 1 4 1? ? OR ? ? ? ; ? ? [1; ? ) 4? ? 1 both critical 1 values of and 1 4 or OR ? answer (4) 1 or x ? 1 4 1 4 1 x OR 1 4 1 xNote: If candidate gives either of these correct graphical solutions but writes down the incorrect intervals or uses AND: max 3/4 marks NOTES: If a candidate gives an answer of 1 ? x ? If a candidate gives an answer of 1 then max 3/4 marks. 4 1 ? x ? 1 then max 2/4 marks. 4 1 If a candidate gives an answer of x ? nd x ? 1 then max 3/4 marks. 4 If the candidate leaves out the equality of the notation then penalty of 1 mark. 1 If a candidate gives an answer of x ? ; x ? 1 then max 3/4 marks. 4 1 If candidate gives x ? and/or x ? 1 , BREAKDOWN: max 2/4 marks. 4 If candidate gives : 0 ? 0 + + award 3/4 marks 1 1 4 Copyright reserved Please turn over Mathematics/PI 4 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 1. 2. 1 x 2 + 5 xy + 6 y 2 = 0 (x + 3 y )(x + 2 y ) = 0 x + 3y = 0 x = ? 3 y OR x = ? 3 y OR x + 2y = 0 x = ? 2 y x = ? 2 y Note: If a candidate gives x x ? = 3 or ? = 2 y y award 2/3 marks factors answers (3) Let k = y 2 x + 5 xy + 6 y 2 = 0 2 ?x? ?x? ? ? + 5? ? + 6 = 0 ? y? ? y? ? ? ? ? 2 k + 5k + 6 = 0 (k + 3)(k + 2) = 0 k = Ã¢â‚¬â€œ 3 or k = Ã¢â‚¬â€œ 2 x x = ? 3 or = ? 2 y y OR factors answers (3) x 2 + 5 xy + 6 y 2 = 0 x= x= ? 5 y Ã‚ ± (5 y ) 2 ? 4(1)(6 y 2 ) 2(1) ? 5y Ã‚ ± y2 2 ? 5y Ã‚ ± y x= 2 x = ? 3 y x = ? 2 y or x x = ? 3 = ? 2 y y substitutes correctly into correct formula answers (3) OR x 2 + 5 xy + 6 y 2 = 0 ?5 x 2 + 5 xy + ? ?2 ? 5 ? y ? = ? 6 y 2 + ? ?2 ? 2 2 ? y? ? 2 5 ? 1 2 ? ? x + y? = y 2 ? 4 ? 5 1 x+ y=Ã‚ ± y 2 2 5 1 x=? yÃ‚ ± y 2 2 completing the square Copyright reservedPlease turn over Mathematics/PI x = ? 3 y x = ? 3 y x = ? y 5 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 answers (3) or x = ? 2 y OR Let k = x = ky x y x 2 + 5 xy + 6 y 2 = 0 (ky )2 + 5 y(ky ) + 6 y 2 = 0 k 2 y 2 + 5 y 2k + 6 y 2 = 0 y 2 k 2 + 5k + 6 = 0 ( (k ) 2 + 5k + 6 = 0 ) factors (k + 3)(k + 2) = 0 k = Ã¢â‚¬â€œ 3 or k = Ã¢â‚¬â€œ 2 x x = ? 3 or = ? 2 y y answers (3) Note: (x;y) = (0;0) is also a solution, but in this case OR x is undefined y Let y = 1 , x 2 + 5x + 6 = 0 (x + 2)(x + 3) = 0 x = ? 2 or x = ? 3 x x = ? 2 or = ? 3 y y x+ y =8 ? 3y + y = 8 ? 2y = 8 y = ? 4 x = 12 factors answers (3) x+ y =8 ? 2y + y = 8 ? y =8 y = ? 8 x = 16 1. 2. 2 OR substitution x = Ã¢â‚¬â€œ 3y subs x = ? 2 y values both x values correct (5) OR 8? y = ? 3 y 8 ? y = ? 3 y 8 = ? 2 y y = ? 4 x = 12 Copyright reserved 8? y = ? 2 OR y 8 ? y = ? 2 y 8 = ? y y = ? 8 x = 16 x=8Ã¢â‚¬â€œy substitution y values both correct x values (5) Please turn over Mathematics/PI 6 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 OR x+ y =8 y =8? x x = ? 3 OR 8? x x = ? 3(8 ? x ) x = ? 24 + 3 x ? 2 x = ? 24 x = 12 y = ? 4 OR y =8? x x = ? 2 8? x x = ? 2(8 ? x ) x = ? 16 + 2 x ? x = ? 16 x = 16 y = ? 8 substitution x values correct both y values correct (5) (x + 2 y )(x + 3 y ) = 0 x+ y =8 x =8? y ( y + 8)(2 y + 8) = 0 y = ? 8 or y = ? 4 x = 16 x = 12 x =8? y ubstitution y values correct both x values correct (5) OR x = 8? y x = 8? y 2 (8 ? y ) 2 + 5(8 ? y ) y + 6 y = 0 64 ? 16 y + y 2 + 40 y ? 5 y 2 + 6 y 2 = 0 2 y 2 + 24 y + 64 = 0 y 2 + 12 y + 32 = 0 ( y + 8)( y + 4) = 0 y = ? 8 or y = ? 4 x = 16 x = 12 OR substitution factors both y values correct both x values correct (5) Copyright reserved Please turn over Mathematics/PI 7 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 OR x =8? y (8 ? y ) 2 + 5(8 ? y ) y + 6 y = 0 2 2 2 2 x = 8? y substitution 64 ? 16 y + y + 40 y ? 5 y + 6 y = 0 2 y 2 + 24 y + 64 = 0 y 2 + 12 y + 32 = 0 ? 12 Ã‚ ± 12 ? 4(1)(32) y= 2(1) 2 ? 12 Ã‚ ± 16 2 y = ? 8 or y = ? x = 16 x = 12 = Note: If a candidate uses the formula and replaces x for y and then answers are swapped: maximum 4/5 marks substitutes into correct formula both y values correct both x values correct (5) OR y =8? x x 2 + 5 x(8 ? x ) + 6(8 ? x )2 = 0 x + 40 x ? 5 x + 6 64 ? 16 x + x 2 x 2 ? 56 x + 384 = 0 x 2 ? 28 x + 192 = 0 (x ? 16)(x ? 12) = 0 x = 16 x = 12 or y = ? 8 y = ? 4 2 2 y =8? x 2 ( )= 0 substitution factors both x values correct both y values correct (5) OR y =8? x x + 5 x(8 ? x ) + 6 (8 ? x ) = 0 2 2 y =8? x substitution x + 40 x ? 5 x 2 2 + 6(64 ? 16 x + x ) = 0 2 2 x 2 ? 56 x + 384 = 0 x 2 ? 28 x + 192 = 0 x= = ? ? 28) Ã‚ ± 28 Ã‚ ± 416 2 (? 28)2 ? 4(1)(192) 2(1) x = 12 x = 16 or y = ? 4 y = ? 8 substitutes into correct formula both x values correct both correct y values (5) [19] Please turn over Copyright reserved Mathematics/PI 8 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 2 2. 1. 1 x ? 4 = 32 ? x 2 x = 36 x = 18 T2 ? T1 = T3 ? T2 Note: If answer only: award 2/2 marks answer (2) a + 2d = 32 and a = 4 OR a=4 a + 2d = 32 2d = 28 d = 14 x = 14 + 4 x = 18 OR Note: If candidate writes x? 4 32 ? x only (i. e. omits equality) : 0/2 marks answer (2) substitutes correctly into arithmetic mean 4 + 32 formula i. e. 2 answers (2) T2 T3 = T1 T2 x= + 32 = 18 2 2. 1. 2 x 32 = 4 x x 2 = 128 x = Ã‚ ± 128 x = Ã‚ ±8 2 OR a=4 x r= 4 ? x? ar 2 = 4? ? ? 4? ? x? 32 = 4? ? ? 4? x 2 = 128 OR x = Ã‚ ±11,31 OR x = Ã‚ ± 2 2 7 Note: If candidate 32 x only writes 4 x (i. e. omits e quality) : 0/2 marks x 2 = 128 both answers (surd or decimal or exponential form) (3) Note: If only x = 128 then penalty 1 mark 2 2 2 ? x? 32 = 4? ? ? 4? 2 x = 128 x = Ã‚ ± 128 x = Ã‚ ±8 2 or x = Ã‚ ±11,31 or x = Ã‚ ± 2 2 7 both answers (surd or decimal or exponential form) (3) substitutes correctly into geometric mean formula i. e. Ã‚ ± 4? 32 both answers (surd or decimal or exponential form) (3) Please turn over OR x = Ã‚ ± 4 ? 32 = Ã‚ ± 128 or x = Ã‚ ±8 2 or x = Ã‚ ±11,31 or x = Ã‚ ± 2 2 7 Copyright reserved Mathematics/PI 9 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 2. 2 13 P = ? 3k ? 5 a = 3? 4 or +3 3? 5 =3 k =1 1? 5 +3 2? 5 + + 3 13 ? 5 = 3 ? 4 + 3 ? 3 + 3- 2 + + 38 3 ? 4 313 ? 1 = 3 ? 1 = 9841,49 Note: Correct answer only: 1/4 marks only 1 81 ( ) r =3 subs into correct formula or 9841 40 797161 or 81 81 answer (4) OR 13 P = ? 3k ? 5 k =1 1? 5 =3 + 32 ? 5 + 33 ? 5 + + 313 ? 5 2. 3 2 S n = [2a + (n ? 1)d ] + [2a + (n ? 1)d ] + + [2a + (n ? 1)d ] + [2a + (n ? 1)d ] = n[2a + (n ? 1)d ] Sn = n [2a + (n ? 1)d ] 2 S n = [a + (n ? 1)d ] + [a + (n ? 2)d ] + [a + d ] + a = 3 ? 4 + 3? 3 + 3- 2 + + 38 1 1 1 = + + + + 6561 81 27 9 40 797161 or = 9841,49 or 9841 81 81 S n = a + [a + d ] + [a + 2d ] + + [a + (n ? 2 )d ] + [a + (n ? 1)d ] Note: If the candidate rounds off and gets 9841,46 (i. e. correct to one decimal place): DO NOT penalise for the rounding off. expand the sum 13 terms in expansion answer (4) writing out Sn Ã¢â‚¬Å"reversingÃ¢â‚¬ Sn expressing 2Sn grouping to get 2 S n = n[2a + (n ? 1)d ] (4) writing out Sn Ã¢â‚¬Å"reversingÃ¢â‚¬ Sn expressing 2Sn grouping to get 2S n = n[a + a + (n ? 1)d ] (4) OR S n = a + [a + d ] + [a + 2d ] + + (Tn ? d ) + Tn S n = Tn + (Tn ? d ) + [a + d ] + a = n[a + a + (n ? 1)d ] = [2a + (n ? 1)d ] Sn = n [2a + (n ? 1)d ] 2 2 S n = a + Tn + a + Tn + a + Tn + + a + Tn Note: If a candidate uses a circular argument (eg S n +1 = S n + Tn ): max 1/4 marks (for writing out Sn) Note: If a candidate uses a specific linear sequence, then NO marks. [13] Copyright reserved Please turn over Mathematics/PI 10 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 3 3. 1 21; 24 Note: If candidate writes T8 = 21 T7 = 24 : award 1/2 marks 21 24 (2) 3. 2 T2 k = 3. 2 k ? 1 and so T52 = 3. 2 26 ? 1 = 100663296 Note: If candidate writes out all 52 terms and gets correct answer: award 5/5 marks . 2 k ? 1 T52 6k ? 3 T51 T2k ? 1 = 3 + 6(k ? 1) = 6k ? 3 and so T51 = 6(26) ? 3 = 153 T52 ? T51 = 100663296 ? 153 = 100663143 answer Note: If candidate used k = 52: max 2/5 Note: if candidate interchanges order i. e. does T51 ? T52 : max 4/5 marks Note: writes out all 52 terms and subtracts T51 ? T52 : max 4/5 marks (5) OR Consider sequence P: 3 ; 6 ; 12 Ã¢â‚¬ ¦ Pn = 3. 2 n? 1 P26 = 3. 2 26 ? 1 = 100663296 Consider sequence Q: 3 ; 9 ; 15 Ã¢â‚¬ ¦ Qn = 6n ? 3 Q26 = 6(26) ? 3 = 153 T52 ? T51 = P26 ? Q26 = 100663296 ? 153 = 100663143 Pn = 3. 2 n? 1 P26 Qn = 6n ? 3 Q26 answer (5) Copyright reserved Please turn over Mathematics/PI 1 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 3. 3 For all n ? N , n = 2k or n = 2k ? 1 for some k ? N If n = 2k : Tn = T2k = 3. 2 k ? 1 If n = 2k ? 1 : Tn = T2k ? 1 = 6k ? 3 = 3(2k ? 1) factors 3. 2 k ? 1 Note: If a candidate only illustrates divisibility by 3 with a specific finite part of the sequence, not the general term: 0/2 marks factors 3(2k ? 1) (2) In either case, Tn has a factor of 3, so is divisible by 3. OR Pn = 3. 2 n ? 1 Which is a multiple of 3 Qn = 6 n ? 3 = 3(2n ? 1) Which is also a multiple of 3 Since Tn = Q2 k ? 1 or Tn = P2 k for all n ? N , Tn is always divisible by 3 OR factors 3. 2 n ? 1 factors 3(2n ? 1) (2)The odd terms are odd multiples of 3 and the even terms are 3 times a power of 2. This means that all the terms are multiples of 3 and are therefore divisible by 3. odd multiples of 3 3 times a power of 2 (2) [9] Copyright reserved Please turn over Mathematics/PI 12 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 4 4. 1 The second, third, fourth and fift h terms are 1 ; Ã¢â‚¬â€œ 6 ; T4 and Ã¢â‚¬â€œ 14 First differences are: Ã¢â‚¬â€œ 7 ; T4 + 6 ; Ã¢â‚¬â€œ 14 Ã¢â‚¬â€œ T4 So T4 + 6 + 7= Ã¢â‚¬â€œ 14 Ã¢â‚¬â€œ 2T4 Ã¢â‚¬â€œ 6 T4 = Ã¢â‚¬â€œ 11 d = Ã¢â‚¬â€œ 11 + 6 + 7 = 2 or Ã¢â‚¬â€œ 14 + 22 Ã¢â‚¬â€œ 6 = 2 Note: Answer only (i. e. d = 2) with no working: 3 marks Note: Candidate gives T4 = ? 11 and d = 2 only: award 5/5 marks 7 T4 + 6 Ã¢â‚¬â€œ 14 Ã¢â‚¬â€œ T4 setting up equation T5 ? T2 = (T5 ? T4 ) + (T4 ? T3 ) + (T3 ? T2 ) answer (5) Ã¢â‚¬â€œ7 Ã¢â‚¬â€œ7+d Ã¢â‚¬â€œ 7 + 2d setting up equation T5 ? T2 = (T5 ? T4 ) + (T4 ? T3 ) + (T3 ? T2 ) OR T2 1 -7 T3 -6 -7+d d T4 -7+2d d T5 -14 T5 ? T2 = (T5 ? T4 ) + (T4 ? T3 ) + (T3 ? T2 ) ? 15 = (? 7 + 2d ) + (? 7 + d ) + ? 7 ? 15 = ? 21 + 3d 6 = 3d d =2 Note: Candidate uses trial and error and shows this: award 5/5 marks answer (5) OR 4a + 2b + c = 1 9a + 3b + c = ? 6 5a + b = ? 7 25a + 5b + c = ? 14 16a + 2b = ? 8 10a + 2b = ? 14 6a = 6 a =1 d = 2a = 2 4a + 2b + c = 1 9a + 3b + c = ? 6 25a + 5b + c = ? 1 4 solved simultaneously answer (5) ORT1 1 Ã¢â‚¬â€œ T1 T1 8 1 -7 T4+13 -6 T4+6 -20-2 T4 -14 T4 -14 T4 Ã¢â‚¬â€œ7 T4 + 6 ? 14 ? T4 setting up equation answer (5) Please turn over T4 + 13 = ? 20 ? 2T4 3T4 = ? 33 T4 = ? 11 d = ? 11 + 13 d =2 Copyright reserved Mathematics/PI 13 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 OR T1 x 1Ã¢â‚¬â€œx -8+x T2 1 -7 y +13 T3 -6 y+6 20 Ã¢â‚¬â€œ 2y T4 y -14 y T5 -14 Ã¢â‚¬â€œ7 y+6 ? 14 ? y y + 13 = ? 20 ? 2 y 3 y = ? 33 y = ? 11 Second difference = y + 13 = ? 11 + 13 = 2 4. 2 T1 1 Ã¢â‚¬â€œ6 -9 2 -7 Note: Answer only: award 2/2 marks Note: If incorrect d in 4. 1, 2/2 CA marks for T1 = d + 8 (since 1 ? T1 = ? 7 ? d ) setting up equation answer (5) method T1 = 10 (2) T1 = 10 OR =1 5a + b = ? 7 5(1) + b = ? 7 b = ? 12 a +b+c =1 4(1) + 2(? 12) + c = 1 c = 21 Tn = n 2 ? 12n + 21 T1 = (1) 2 ? 12(1) + 21 = 10 OR method T1 = 10 (2) T4 + 13 = ? 8 + T1 ? 11 + 13 = ? 8 + T1 T1 = 10 y + 13 = ? 8 + x method T1 = 10 (2) [7] OR ? 11 + 13 = ? 8 + x x = 10 Copyright res erved Please turn over Mathematics/PI 14 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 5 5. 1. 1 y = f (0) ? 6 = ? 1 0? 3 =1 (0 ; 1) OR ?6 ? 1 x? 3 ? 6 1= x? 3 x ? 3 = ? 6 0= x = ? 3 (? 3 ; 0) x = 0 and y = 1 5. 1. 2 Note: Mark 5. 1. 1 and 5. 1. 2 as a single question. If the intercepts are interchanged: max 3/5 marks y =1 x=0 (2) y=0 x ? 3 = ? 6 nswer (3) shape y 5. 1. 3 Note: The graph must tend towards the asymptotes in order to be awarded the shape mark (? 3; 0) (0 ; 1) 0 3 x y = ? 1 ?1 x=3 both intercepts correct horizontal asymptote vertical asymptote (4) Note: A candidate who draws only one Ã¢â‚¬ËœarmÃ¢â‚¬â„¢ of the hyperbola loses the Ã¢â‚¬ËœshapeÃ¢â‚¬â„¢ mark i. e. max 3/4 marks 5. 1. 4 ? 3 lt; x lt; 3 OR (? 3; 3) OR ? 3 lt; x and x lt; 3 Note: if candidate writes ? 3 lt; x only: 1/2 marks Note: if candidate writes x lt; 3 only: 1/2 marks ?3 and 3 inequality OR interval notation (2) Copyright reserved Please turn over Mathematics/PI 15 NSC Ã¢â‚¬â€œ Memorandum DBE/Novem ber 2011 5. 1. y= ?6 ? 1 ? 2? 3 1 = 5 1? 1 5 1 5 m= 0 ? (? 2) 2 = 5 formula substitution answer (4) OR m= = f (0) ? f (? 2) 0 ? (? 2) 1? 1 5 formula f (? 2) = 1 5 0+2 2 = 5 b lt; 0 since b lt; 0 and a lt; 0 2a y x substitution answer (4) y-intercept negative turning point on the x axis turning point on the left of the y axis maximum TP and quadratic shape 5. 2 x=? 0 (4) [19] Copyright reserved Please turn over Mathematics/PI 16 NSC Ã¢â‚¬â€œ Memorandum y DBE/November 2011 QUESTION 6 f C(0 ; 4,5) g x O A B 6. 1 0 = 2x ? 8 8 = 2x 23 = 2 x x=3 A(3 ; 0) f (0) = 2 0 ? 8 = 1? 8 = ? 7 B(0 ; Ã¢â‚¬â€œ7) Note: no CA marks Note: answer only: award 2/2 marks =0 answer for A x=0 answer for B (4) answer (1) 6. 2 6. 3 y = ? 8 OR y + 8 = 0 h( x ) = f ( 2 x ) + 8 = 22x ? 8 + 8 ( ) (2 2 x ? 8) answer of h( x ) = 4 x or 2 2 x (2) = 4 x or 2 2 x 6. 4 x = 4y y = log 4 x OR x = 22 y 2 y = log 2 x 1 y = log 2 x OR y = log 2 x 2 Note: answer only award 2/2 marks Note: candidate works out f -1 and gets y = l og 2 ( x + 8) award 1/2 marks log x OR y = log 4 switch x and y answer in the form y =Ã¢â‚¬ ¦ (2) 6. 5 p ( x) = ? log 4 x OR p( x) = log 1 x 4 answer (1) OR p ( x) = log 4 OR 1 x OR 1 p( x) = ? log 2 x 2 y = ? log 2 x Copyright reserved Please turn over Mathematics/PI 17 NSC Ã¢â‚¬â€œ Memorandum 5 DBE/November 2011 . 6 ? g (k ) ? ? g (k ) = g (0) + g (1) + g (2) + g (3) ? g (4) ? g (5) x = 3 is the axis of symmetry of g ? by symmetry g (2) = g (4) and g (1) = g (5) Answer = g (0) + g (3) = 4,5 + 0 = 4,5 OR k =0 k =4 3 = g (0) + g (1) + g (2) + g (3) ? g (4) ? g (5) g (2) = g (4) and g (1) = g (5) g (0) + g (3) answer (4) ? g (k ) ? ? g (k ) ? g (k ) = g (0) + g (1) + g (2) + g (3) ? g (k ) = g (4) + g (5) k =4 k =0 5 3 5 expansion k =0 3 k =4 x = 3 is the axis of symmetry of g ? by symmetry g (4) = g (2) g (5) = g (1) k =0 g (2) = g (4) and g (1) = g (5) ? g (k ) ? ? g (k ) k =4 3 5 = g (0) + g (3) = 4,5 + 0 = 4,5 OR g (0) + g (3) answer (4) ( x) = a( x ? 3) + 0 2 4,5 = a(0 ? 3) 2 + 0 4,5 = 9a 1 a= 2 1 2 g ( x) = ( x ? 3) 2 k =0 3 k =0 g ( x) = 1 (x ? 3)2 2 ? g (k ) ? ? g (k ) k =4 3 5 ? g (k ) = g (0) + g (1) + g (2) + g (3) = 4,5 + 2 + 0,5 + 0 =7 expansion Copyright reserved Please turn over Mathematics/PI 18 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 k =4 ? g (k ) = g (4) + g (5) = 0,5 + 2 = 2,5 ? g (k ) ? ? g (k ) k =4 3 5 5 k =0 = 7 ? 2,5 = 4,5 7 ? 2,5 answer (4) OR g ( x) = ax 2 + bx + c g (k ) = ak 2 + bk + c g (0) = c g (1) = a + b + c g (2) = 4a + 2b + c g (3) = 9a + 3b + c k =0 ? g (k ) = 14a + 6b + 4c 3 g (4) = 16a + 4b + c ? g (k ) = 41a + 9b + 2c 5 5 (5) = 25a + 9b + c k =4 3 k =0 ? g (k ) ? ? g (k ) = ? 27a ? 3b + 2c k =4 ? 27 a ? 3b + 2c g ( x) = a ( x ? 3)2 + 0 4,5 = a (0 ? 3) 2 + 0 4,5 = 9a 1 2 1 g ( x) = ( x ? 3)2 2 1 2 9 = x ? 3x + 2 2 a= k =0 ? g (k ) ? ? g (k ) = ? 27 a ? 3b + 2c k =4 3 5 g ( x) = 1 (x ? 3)2 2 ?9? ?1? = ? 27? ? ? 3(? 3) + 2? ? ? 2? ?2? = 4,5 answer (4) [14] Copyright reserved Please turn over Mathematics/PI 19 NSC Ã¢â‚¬â€œ M emorandum DBE/November 2011 QUESTION 7 7. 1 A = P(1 ? i ) P n = P(1 ? 0,07 ) 2 1 = 0,93n 2 1 log = n log 0,93 2 1 log 2 n= log 0,93 = 9,55 years n OR A = P(1 ? i )n P = P(1 ? 0,07 )n 2 1 = 0,93 n 2 1 log 0,93 = n 2 n = 9,55 yearsP 2 subs into correct formula A= log answer (4) Note: If candidate uses incorrect formula: max 1/4 marks P for A = 2 Note: If candidate interchanges A and P A i. e. uses P = : max 2/4 marks 2 Copyright reserved Please turn over Mathematics/PI 20 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 7. 2 Radesh: A = P(1 + in ) = 8 550 Bonus = 0,05 ? 6 000 = 300 = 6 000(1 + 0,085 ? 5) A = 6 000 + 8,5% of 6000 ? 5 OR = 6000 + 510 ? 5 = 6000 + 2550 = 8 550 8 550 Received = 8 550 + 300 = R 8 850 Thandi: n A = P(1 + i ) R8 850 ? 0,08 ? = 6 000? 1 + ? 4 ? ? = R 8 915,68 20 n = 20 0,08 i= 4 answer choice made (6) 0,15 1 or or 0,0125 12 80 n = 18 n = 18 7. 3Thandis investment is bigger. Fv = initial deposit with interest + annuity ? ? ? 0,15 ? 18 ? ?1 + ? ? 1? 18 ? 12 ? ? 0,15 ? = 1 000? 1 + ? + 700? ? 0,15 12 ? ? ? ? ? ? 12 ? ? = 1 250,58 + 14 032,33 = R15 282,91 i= OR ? 0,15 ? 1 000? 1 + ? 12 ? ? ? ? 0,15 ? 18 ? ? ? 1 + ? ?1? ? 12 ? 700? ? 0,15 ? ? ? ? 12 ? ? answer (6) 18 Fv = initial deposit with interest + annuity ?18 ? ? ? ? 1 ? ?1 + 0,15 ? ? ? 18 18 ? ? 0. 15 ? 0,15 ? 12 ? ? = 1 000? 1 + ? ? + 700? 1 + 0,15 12 ? 12 ? ? ? ? ? 12 ? ? 0,15 1 or or 0,0125 12 80 n = 18 n = 18 i= 0. 15 ? ? = 1 250,58 + 11220,68? 1 + ? 12 ? ? = 1 250,58 + 14 032,33 = R15 282,91 Copyright reserved 8 ? 0,15 ? 1 000? 1 + ? 12 ? ? ?18 ? ? ? 1 ? ?1 + 0,15 ? ? ? ? 12 ? 700? 0,15 ? ? 12 ? 18 ? ? 18 0. 15 ? ? 1 + 12 ? ? ? answer (6) Please turn over Mathematics/PI 21 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 OR ? ? 0,15 ? 19 ? ? ? 1 + ? ?1? 18 ? 12 ? ? 0,15 ? Fv = 300? 1 + ? + 700? ? 0,15 12 ? ? ? ? ? ? 12 ? ? = 375,17 + 14 907,74 = R15 282,91 0,15 1 or or 0,0125 80 12 n = 19 (corresponding to 700) n = 18 (corresponding to 300) i= ? 0,15 ? 300? 1 + ? 12 ? ? ? ? 0,15 ? 19 ? ? ? 1 + ? ?1? 12 ? ? 700? ? 0,15 ? ? ? ? 12 ? ? answer (6) [16] 18 QUESTION 8 8. 1 f ? ( x ) = lim = lim f (x + h ) ? f (x ) h h;0 ? 4( x + h )2 ? 4 x 2 h h;0 ( ) Note: Incorrect notation: formula substitution expansion = lim = lim ? 4 x 2 + 2 xh + h 2 + 4 x 2 h h;0 ? 4 x 2 ? 8 xh ? 4h 2 + 4 x 2 h h;0 ( ) no lim written: penalty 2 marks lim written before equals sign: penalty 1 mark Note: A candidate who gives Ã¢â‚¬â€œ8x only: 0/5 marks Note: A candidate who omits brackets in the line lim (? 8 x ? 4h ) : h ;0 ? 8 xh ? 4h 2 = lim h h;0 h(? 8 x ? 4h ) = lim h h;0 = lim (? 8 x ? 4h ) h;0 ? 8 x ? 4h answer (5) = ? 8 x NO penalty OR Copyright reserved Please turn over Mathematics/PI 22 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 f ( x ) = ? 4 x 2 f ( x + h) = ? 4( x + h) 2 = ? 4 x 2 ? xh ? 4h 2 f ( x + h) ? f ( x) = ? 8 xh ? 4h 2 ? 8 xh ? 4h 2 f ? ( x) = lim h h;0 h ( ? 8 x ? 4 h ) = lim h h;0 = lim (? 8 x ? 4h) h;0 substitution expansion formula ? 8 x ? 4h = ? 8 x 8. 2. 1 y= 3 x2 ? 2x 2 3 1 = x ? 1 ? x 2 2 2 answer (5) 3 ? 1 x 2 ? Note: Incorrect notation in 8. 2. 1 and/or 8. 2. 2: Penalise 1 mark 3 dy = ? x ? 2 ? x 2 dx 3 =? 2 ? x 2x 8. 2. 2 f ( x) = (7 x + 1) 2 3 ? 2 x 2 (3) ?x = 49 x 2 + 14 x + 1 f ? ( x) = 98 x + 14 f ? (1) = 98(1) + 14 = 112 multiplication 98 x 14 answer (4) OR f ( x) = (7 x + 1) 2 f ? ( x) = 2(7 x + 1)(7 ) By the chain rule . f ? ( x) = 98 x + 14 f ? (1) = 98(1) + 14 = 112 hain rule answer (4) [12] Copyright reserved Please turn over Mathematics/PI 23 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 9 9. 1 f ( x ) = ? 2 x 3 + ax 2 + bx + c f ? ( x ) = ? 6 x 2 + 2ax + b = ? 6( x ? 5)( x ? 2) = ? 6 x 2 ? 7 x + 10 ( ) = ? 6 x 2 + 42 x ? 60 2a = 42 a = 21 b = ? 60 f (5) = ? 2(5) + 21(5) ? 60(5) + c 3 2 Note: A candidate who substitutes the values of a, b and c and then checks (by substitution) that T (2; ? 9 ) and S (5;18) lie on the curve: award max 2/7 marks f ? ( x ) = ? 6 x 2 + 2ax + b ? 6( x ? 5)( x ? 2 ) b= Ã¢â‚¬â€œ60 2a = 42 f (2) = ? 2(2) + 21(2) ? 60(2) + c OR ? 9 = ? 52 + c c = 43 3 2 18 = ? 5 + c c = 43 subs (5 ; 18) or (2 ; -9) c = 43 (7) Note: A candidate who substitutes the values of a, b and c into the a = 21 ; b = ? 60 ; c = 43 function i. e. gets f ( x) = ? 2 x 3 ? 21x 2 ? 60 x + 43 and then shows by substitution that T (2; ? 9 ) and S (5;18) are on the curve and works out the derivative i. e. gets f ? ( x ) = ? 6 x 2 ? 42 x ? 60 and shows (by substitution into the derivative) that the turning points are at x = 2 and x = 5 (assuming what s/he sets out to prove and proving what is given): award max 4/7 marks as follows: x = 2 from f ? ( x ) = 0 OR subs x = 2 into the derivative and gets 0 x = 5 from f ? x ) = 0 OR subs x = 5 into the derivative and gets 0 substitution of x = 2 in f and gets Ã¢â‚¬â€œ 9 substitution of x = 5 in f and gets 18 f ? ( x ) = ? 6 x 2 + 2ax + b f ? (2) = 0 f ? (5) = 0 6a = 126 OR f ? ( x ) = ? 6 x 2 + 2ax + b f ? (2) = ? 6(2) + 2a (2) + b 0 = ? 24 + 4a + b 2 b = 24 ? 4a f ? (5) = ? 6(5) 2 + 2a (5) + b 0 = ? 150 + 10a + b 0 = ? 150 + 10a + (24 ? 4a) 0 = ? 126 + 6a 6a = 126 a = 21 b = ? 60 f (5) = ? 2(5) + 21(5) ? 60(5) + c 3 2 Note: If derivative equal to zero is not written: penalize once only b = Ã¢â‚¬â€œ 60 f (2) = ? 2(2) + 21(2) ? 60(2) + c 3 2 subs (5 ; 18) or (2 ; -9) c = 43 (7) Please turn over 18 = ? 25 + c c = 43Copyright reserved a = 21 ; b = ? 60 ; c = 43 OR ? 9 = ? 52 + c c = 43 Mathematics/PI 24 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 OR f (2) = ? 9 i. e. ? 16 + 4a + 2b + c = ? 9 4a + 2b + c = 7 f (5) = 18 i. e. ? 250 + 25a + 5b + c = 18 25a + 5b + c = 268 21a + 3b = 261 f ? (5) = 0 f ? ( x ) = ? 6 x 2 + 2ax + b and f ? (2 ) = 0 OR 4a + b = 24 10a + b = 150 ? 16 + 4a + 2b + c = ? 9 and ? 250 + 25a + 5b + c = 18 f ? ( x ) = ? 6 x 2 + 2ax + b f ? (2) = 0 or f ? (5) = 0 12a + 3b = 72 9a = 189 189 9 a = 21 a= 12(21) + 3b = 72 3b = ? 180 b = ? 60 4(21) + 2(? 60 ) + c = 7 c = 43 4a + 2b + c = 7 OR 30a + 3b = 450 9a = 189 189 a= 9 a = 21 9a = 189 b = Ã¢â‚¬â€œ 60 5a + 5b + c = 268 c = 43 subs (5 ; 18) or (2 ; -9) c = 43 (7) subs f ? (1) m tan = ? 24 f(1) = 2 f ? ( x) = ? 6 x + 42 x ? 60 2 OR 25(21) + 5(? 60 ) + c = 268 9. 2 f ? ( x) = ? 6 x + 42 x ? 60 2 m tan = ? 6(1) + 42(1) ? 60 2 = ? 24 3 2 f (1) = ? 2(1) + 21(1) ? 60(1) + 43 =2 Point of contact is (1 ; 2) y ? 2 = ? 24( x ? 1) y = ? 24 x + 26 9. 3 f ? ( x) = ? 6 x + 42 x ? 60 f ( x) = ? 12 x + 42 2 OR y = ? 24 x + c 2 = ? 24(1) + c c = 26 y = ? 24 x + 26 y ? 2 = ? 24( x ? 1) OR y = ? 24 x + 26 f ( x ) = ? 12 x + 42 (5) 0 = ? 12 x + 42 x= 7 2 x= 7 2 (2) OR 2+5 x= 2 Please turn over Copyright reserved Mathematics/PI 25 NSC Ã¢â‚¬â€œ MemorandumDBE/November 2011 2+5 2 7 x= 2 OR ? 21 x= 3(? 2 ) 7 = 2 x= QUESTION 10 y x= 7 2 (2) x= ? 21 3(? 2 ) 7 x= 2 (2) [14] ?4 0 1 x y = f /(x) 10. 1 x-value of turning point: ? 4 +1 x= 2 3 =? 2 3 ? 3 ? ?x ;gt; ? OR ? x ? ? ? ; ? ? 2 ? 2 ? f has a local minimum at x = ? 4 because: (1; y) f ? 4 xgt;? 3 ? 3 ? OR ? ? ; ? ? 2 ? 2 ? (1) 10. 2 x=Ã¢â‚¬ â€œ4 graph (3) f 1 Ã¢â‚¬â€œ4 OR f ( x) lt; 0 for x lt; ? 4 , so f is decreasing for x lt; ? 4 . f / ( x) gt; 0 for ? 4 lt; x lt; 1 , so f is increasing for ? 4 lt; x lt; 1 . / i. e. Ã¢â‚¬â€œ4 OR Copyright reserved ? f has a local minimum at x = ? 4 x=Ã¢â‚¬â€œ4 f / ( x) lt; 0 for x lt; ? 4 f / ( x) gt; 0 for ? lt; x 0 so graph is concave up at x = Ã¢â‚¬â€œ 4, so f has a local minimum at x = Ã¢â‚¬â€œ 4. x=Ã¢â‚¬â€œ4 gradient negative for x lt; ? 4 gradient positive for ? 4 lt; x lt; 1 (3) f ? (? 4) = 0 f (? 4) gt; 0 x=Ã¢â‚¬â€œ4 (3) [4] QUESTION 11 11. 1 11. 2 V (0) = 100 ? 4(0) = 100 litres Rate in Ã¢â‚¬â€œ rate out = 5 Ã¢â‚¬â€œ k l / min answer (1) 5Ã¢â‚¬â€œk Ã¢â‚¬â€œ4 units stated once 5 ? k = ? 4 k=9 V ? (t ) = ? 4 l / min 11. 3 5 ? k = ? 4 k = 9 l / min OR (3) (2) Note: Answer only: award 2/2 marks Volume at any time t = initial volume + incoming total Ã¢â‚¬â€œ outgoing total 100 + 5t ? kt = 100 ? 4t 5t ? kt = ? 4t 9t ? kt = 0 t (9 ? k ) = 0 At 1 minute from start, t = 1, 9 Ã¢â‚¬â €œ k = 0, so k = 9 OR 00 + 5t ? kt = 100 ? 4t k=9 (2) dV = ? 4 , the volume of water in the tank is decreasing by 4 dt litres every minute. So k is greater than 5 by 4, that is, k = 9. Since k=9 (2) [6] Copyright reserved Please turn over Mathematics/PI 27 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 12 Note: If the wrong inequality 50x + 25y ? 500 is used, candidate wrongly says that there are more learners than available seats. Maximum of 10 marks. 12. 1 x, y ? N x + y ? 15 50 x + 25 y ? 500 y? 8 y ? ? x + 15 OR y ? ?2 x + 20 y? 8 Note: for the inequalityÃ¢â‚¬â„¢s marks to be awarded, the LHS and the RHS must be correctNote: If candidate gives 50 x + 25 y = 500 : max 5/6 marks x + y ? 15 y ? 8 50 x + 25 y ? 500 (6) 12. 2 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 y x + y ? 15 50 x + 25 y ? 500 y? 8 feasible region (4) Blue buses x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Red buses 12. 3 12. 4. 1 C = 600 x + 300 y (6 ; 8) ; (7 ; 6) ; (8 ; 4) ; (9 ; 2) and (10 ; 0) NOTE: The gradient of the search line is m = ? answer 2 1 (1) 3 marks for all correct solutions 2 marks if only 3 or 4 correct solutions 1 mark if only 1 or 2 correct solutions (3) subs answer (2) 2. 4. 2 12. 5 C = 6(600) + 8(300) = R 6 000 or C = 7(600) + 6(300) = R 6 000 or C = 8(600) + 4(300) = R 6 000 or C = 9(600) + 2(300) = R 6 000 or C = 10(600) + 0(300) = R 6 000 8 red ; 4 blue answer (1) [17] TOTAL: 150 Copyright reserved Please turn over Mathematics/P1 28 NSC Ã¢â‚¬â€œ Memorandum DBE/November 2011 QUESTION 12. 2 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 y Blue Buses Red Buses 1 2 3 4 5 6 7 8 x 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Copyright reserved

Sunday, November 3, 2019

Integrating Strategy, Management and Change (Strategy Development) Research Paper

Integrating Strategy, Management and Change (Strategy Development) - Research Paper Example Academic researchers have pointed out significance of performance measurement in terms of both practical and theoretical perspective. The concept of performance measurement is multidimensional because the model incorporates not only accounting literature but other management fields like operation & production management, marketing and strategic management also. Organizational theory model played crucial role in developing performance measurement models such as Key Performance Indicator, Balance Scorecard and Performance Prism. Problem with the literature review of performance measurement is isolation because of disparate and fragmented findings of research scholars. Researchers have tried to create a link between Organizational effectiveness (OE) and performance measurement but unfortunately only a few of them have succeeded. Academic scholars have argued that organizational effectiveness plays cordial role for designing non financial elements of performance measurement tools. In 200 0, Flamholtz and Aksehirli proposed a relationship between financial aspect of performance measurement and organizational success model. They analyzed both financial and non financial elements of balanced scorecard in order to test the hypothesized relationship. They tested eight pairs of companies of various industries and Average Return on Equity was used as an indicator of financial performance. They used Friedman two way variance analysis and found statistically significant relationship between financial aspect of performance measurement and organizational success model (Flamholtz, 2003, pp. 15-26). Two Theoretical Perspectives for Strategic Performance Measurement Multidimensionality of performance always creates rift for deploying strategic performance measurement models. Multidimensionality of performance is exemplified due to involvement of complex financial and non financial elements. There is a common belief in the field of performance measurement that if the new models su ch as Balance scorecard or Performance prism are implemented, there will be overall organizational performance improvement (Bourne et al., 1999, pp. 373-95). Unfortunately the belief is partially true because impact of performance management is very much influenced by organizational objective. The study will be incomplete without mentioning impact subsystems in performance measurement. Researchers have pointed out that deploying enterprise strategic performance management is far more effective in comparison to strategic performance measurement. In 2005, Neely has argued business leaders need to adopt dynamic, flexible and capable strategic performance measurement model in order to cope with dynamics of external environment (Neely, 2005, pp. 1264-77). In 1993, Platts has presented a holistic approach of strategic performance measurement in terms of virtuous cycle of learning organization. Research scholars (Slack,

Friday, November 1, 2019

ORGANIZATIONAL BEHAVIOR Term Paper Example | Topics and Well Written Essays - 2000 words

ORGANIZATIONAL BEHAVIOR - Term Paper Example The company through its wide variety of mobile and web applications makes it easy for the customers to carry out their day to day business operations. Through its mobile operated App it allows the customers to share, connect and communicate with others living far away. The customers can even share photos and videos with their friends and followers. Another important App that the company has newly launched is that of the money transaction App which allows the customer pay bills, transfers money to their close ones within a fraction of seconds. Organizational citizen behavior is considered to be a component of job performance. It deals with the fact that how well an employee connected to an organization performs, and the performance of an employee will in turn have an impact on the companyÃ¢â‚¬â„¢s success. Organizational behavior refers to employee commitment as the employees stand out to be a backbone of the particular organization. Researchers have stated that job satisfaction is very important for an employee. If the employees are satisfied with their job, they are bound to perform well as per the companyÃ¢â‚¬â„¢s protocol. EZ-Chat Inc. a social networking giant has been performing very well since the last five years as it has around ten million customers and the list is still growing. However, a recent study has indicated that often the employees of EZ-Chat Inc. wish for a job change due to too much work load. Hence, they become victims to sleeplessness and nervous disorders. Interpersonal communication between the employees and the organization is very important for maintaining a positive work atmosphere. A friendly work atmosphere with no politics gives a lot of job satisfaction to the employees and the employees eventually perform well. Easy Chat Inc. provides a big opportunity to its customers to maintain an interpersonal relationship with their