Great Hammerhead Shark

The great hammerhead shark (Sphyrna mokarran) is the largest of the 9 species of hammerhead sharks. These sharks are easily recognized by their unique hammer or shovel-shaped heads. Description The great hammerhead can reach a maximum length of about 20 feet, but their average length is about 12 feet. Their maximum length is about 990 pounds. They have a grayish-brown to light gray back and white underside. Great hammerhead sharks have a notch in the center of their head, which is known as a cephalofoil. The cephalofoil has a gentle curve in juvenile sharks but becomes straight as the shark ages. Great hammerhead sharks have a very tall, curved first dorsal fin and a smaller second dorsal fin. They have 5-gill slits. Classification Kingdom: AnimaliaPhylum: ChordataSubphylum: GnathostomataSuperclass: PiscesClass: ElasmobranchiiSubclass: NeoselachiiInfraclass: SelachiiSuperorder: GaleomorphiOrder: CarcharhiniformesFamily: SphyrnidaeGenus: SphyrnaSpecies: mokarran Habitat and Distribution Great hammerhead sharks live in warm temperate and tropical waters in the Atlantic, Pacific, and Indian Oceans. They are also found in the Mediterranean and Black Seas and Arabian Gulf. They undertake seasonal migrations to cooler waters in the summer. Great hammerheads may be found in both nearshore and offshore waters, over continental shelves, near islands, and near coral reefs. Feeding Hammerheads use their cephalofoils for detection of prey using their electro-reception system. This system allows them to detect their prey by electrical fields. Great hammerhead sharks primarily feed at dusk and eat stingrays, invertebrates, and fish, including even other great hammerheads. Their favorite prey is rays, which they pin down using their heads. They then bite at the rays wings to immobilize them and eat the entire ray, including the tail spine. Reproduction Great hammerhead sharks may mate at the surface, which is unusual behavior for a shark. During mating, the male transfers sperm to the female via his claspers. Great hammerhead sharks are viviparous (give birth to live young). The gestation period for a female shark is about 11 months, and 6-42 pups are born live. The pups are about 2 feet long at birth. Shark Attacks Hammerhead sharks are generally not dangerous to humans, but great hammerheads should be avoided due to their size. Hammerhead sharks, in general, are listed by the International Shark Attack File #8 on its list of species responsible for shark attacks from the years 1580 to 2011. During this time, hammerheads were responsible for 17 non-fatal, unprovoked attacks and 20 fatal, provoked attacks. Conservation Great hammerheads are listed as endangered by the IUCN Red List due to their slow reproduction rate, high bycatch mortality and harvest in shark finning operations. The IUCN encourages implementation of shark finning bans to protect this species. References and Further Information ARKive. Great Hammerhead. Accessed June 30, 2012.Bester, Cathleen.Great Hammerhead Shark. Florida Museum of Natural History. Accessed June 30, 2012.Carpenter, K.E. Great Hammerhead: Sphyrna mokarran. Accessed June 30, 2012.Compagno, L., Dando, M. and S. Fowler. 2005. Sharks of the World. Princeton University Press.Denham, J., Stevens, J., Simpfendorfer, C.A., Heupel, M.R., Cliff, G., Morgan, A., Graham, R., Ducrocq, M., Dulvy, N.D, Seisay, M., Asber, M., Valenti, S.V., Litvinov, F., Martins, P., Lemine Ould Sidi, M. Tous, P. and Bucal, D. 2007. Sphyrna mokarran. In: IUCN 2012. IUCN Red List of Threatened Species. Version 2012.1... Accessed June 30, 2012.Florida Museum of Natural History. 2012. ISAF Statistics on Attacking Species of Shark. Accessed June 30, 2012.Krupa, D. 2002. Why the Hammerhead Sharks Head is In the Shape Its In. American Physiological Society. Accessed June 30, 2012.ScienceDaily. 2010. Hammerhead Shark Study Shows Cascade of Evolution Affected Size, Head Shape. A ccessed June 30, 2012.

Case Study The Best Company, Inc. - 1213 Words

Kathleen Ng ACCT 4501W Case Analysis 1 ZZZZ Best Company, Inc. ZZZZ Best Company, Inc. was founded by Barry Minkow in the fall of 1982, located in San Fernando Valley of Southern California. At this time, he was 16 years old and started a small carpet cleaning operation out of his parent’s garage. Due to client complaints and competition, he was short of capital and needed money but was unable to get help from banks due to low profitability. This led him to think of other ways to finance his business, such as check kiting and credit card forgeries. With help of his friend, Tom Padgett, an insurance claims adjuster, he was able to devise more schemes to make money. Minkow created fake insurance restoration contracts, which allowed him to convince bankers for loans with fake financial statements. With the money he got from the banks, he was able to expand his carpet cleaning outlets. The ease of faking insurance restorations made him realize that he can just dictate how much profit he wants and soon, his main revenue came from restorations and not carpet cleaning. Soon, Minkow became famous for being a young entrepreneur which him decide to take ZZZZ Best public. He saw the opportunity of going public to bring in more money and more people to scam. Going public required Minkow to come up with ways to prevent his fraudulent activities from becoming evident. In order to register with the Securities and Exchange Commission, he is required to hire auditors, investment banks, andShow MoreRelatedEssay on ZZZZ Best Company, Inc.: Case Study1340 Words   |  6 Pages------------------------------------------------- ------------------------------------------------- ZZZ Best Company, Inc. ------------------------------------------------- Case Study 2 ------------------------------------------------- Due Date: March 30,2010 ZZZ Best, Case 1. 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National Bureau of Economic Research Management

Question: Discuss about the National Bureau of Economic Research Management. Answer: Introduction: As per the concept of economics, the model can be described as the hypothetical structure and also in terms of variables as well as the logical connectivity between themselves. As opined by Coglianese et al. (2016), the concept of modern economics can be described as the concept of intricate machine. The major role is dealing with the inadequate resources and the distribution of the output within the different agents such as governments, the individuals and the other organizations. The measurable signals would reflect that there are the regulations, which can drive the difficulty while allocating the products. In addition, the trend of the annual productivity of the developed nations would be predicted that it would be upward. The economic models have a direct explanation of reality and it would be intended to identify the economic hypothesis for the performance. However, all of the economic models are predicted to be subjective and it would estimate the reality. It can highlight the predicted occurrence. The government of a country needs to avoid the predictions and it seeks to describe the validity of the economic theories. In this connection, Koh, Lee and Choi (2013) opined that no economic models would highlight the explanation of the reality. The major reason is the inadequate attention to develop a linkage among the entire demand, wealth and the higher risks. As per the theoritical reports, it can be observed that there are some definite considerable research within the exposure. This research would highlight the behavioral equations to represent the economic models. The economic models are necessary to implement the existing equations in order to develop an association with the new equations as well as with the financial sector. Economists would make the necessity of the factors, which can examine the models with the help of statistics and the predicted hypothesis. According to Lao, Ellis and Christofides (2014), the market actors would not treat rationally, but also they used to treat based on the identical mental models and the economists would develop it. Therefore, the economist Keynes described the concept and mentioned that economics is a section of moral science. As per the concept of Levin, Lewis and Wolak (2016), it can be stated that the price elasticity of demand is an estimation, which can reflect the association among the quantity demand of the products with the change of the cost of the products. Therefore, price elasticity of demand can be represented as (percentage change in demand / percentage change in the price level). Rabin (2013) cited that in case of normal goods, the demand for the goods will be raised if the level of income rises. Nonetheless, if the price level of the product would raise, then the demand for those products would be declined. The above figure would explain that the demand for the foods would rise if the level of income of the consumers would increase. On the other hand, the demand for the products would decrease if the income level would decline. Price elasticity of the luxury goods As per the concept of economics, luxury products are the products for which the requirement for the products would rise more than the increment of the level of income of the consumers. In addition, Thimmapuram and Kim (2013) cited that if the price of the goods would raise then the quantity demand of the luxury goods for the products would be declined. However, if the level of income of the consumers would increase, the requirements for the luxury products would increase with the rise in the level of the price of the goods. It is noted that the price elasticity of the luxury goods would be highly elastic. The examples of luxury goods are cars, jewellery, air conditions etc. From the above figure, it can be observed that if the level of price of the luxury goods would augment from P1 to P2, then the change in the percentage of quantity demand would increase from D1 to D2 with the augmented in the price level. Hence, it can be inferred that the change of the price level is less than the change of the demand for the luxury products. As a result, it can be described that due to the price level change, the transformation of the quantity demand would be increased more as the income level would increase. In this connection, Varian (2016) opined that the price elasticity of demand for the luxury goods would be inelastic only for the higher income group of people and it would be elastic for the poor income group of people. Price elasticity of the giffen goods It is known that giffen goods are those goods, which would be consumed more if the price of the products would rise and the income level of the customers would be decreased. Some of the examples of giffen goods are salt and sugar. The demand for the products is perfectly inelastic. Therefore, it can be mentioned that if the price of the products would fluctuate, then the percentage change for the quantity demand would remain same. The above diagram depicted that the demand curve for the giffen goods is completely inelastic. If the income level would decline and if the price level would be augmented, then it can be inferred that the percentage of quantity demand would decline. Moreover, it can be observed that if the level of price would rise from P1 to P2, then the demand for the products would not change. Therefore, the price elasticity would rise. Furthermore, Rabin (2013) cited that the income effect would control the substitution effect of the goods. References Coglianese, J., Davis, L. W., Kilian, L., Stock, J. H. (2016). Anticipation, tax avoidance, and the price elasticity of gasoline demand.Journal of Applied Econometrics. Koh, Y., Lee, S., Choi, C. (2013). The income elasticity of demand and firm performance of US restaurant companies by restaurant type during recessions.Tourism Economics,19(4), 855-881. Lao, L., Ellis, M., Christofides, P. D. (2014). Smart manufacturing: Handling preventive actuator maintenance and economics using model predictive control.AIChE Journal,60(6), 2179-2196. Levin, L., Lewis, M. S., Wolak, F. A. (2016).High frequency evidence on the demand for gasoline(No. w22345). National Bureau of Economic Research. Rabin, M. (2013). An approach to incorporating psychology into economics.The American Economic Review,103(3), 617-622. Thimmapuram, P. R., Kim, J. (2013). Consumers' price elasticity of demand modeling with economic effects on electricity markets using an agent-based model.IEEE Transactions on Smart Grid,4(1), 390-397. Varian, H. R. (2016). How to build an economic model in your spare time.The American Economist,61(1), 81-90.

Through A Narrow Chink An Ethical Dilemma Essay Example For Students

Through A Narrow Chink: An Ethical Dilemma Essay Through A Narrow Chink: An Ethical Dilemma Essay by Pablo Baez Chemistry 104 Prof. Holme In 1951 Carl Djerassi, with the Mexican pharmaceutical company Syntex, developed the first oral contraceptive by synthesizing and altering the natural hormone Progesterone into a superpotent, highly effective oral progestational hormone called norethindrone. Admittedly, the dynamics and importance of this find were astounding, since before this the only means of contraception was abortion, and even that was not legalized at the time. The race to produce this synthetic agent was highly competitive, being sought after by many pharmaceuticals throughout the world, and for a small fledgling company in Mexico of all places to find it first only added to the excitement of the achievement. Yet aside from all this excitement and competitive fervor something great and disturbing was being bypassed. We will write a custom essay on Through A Narrow Chink: An Ethical Dilemma specifically for you for only $16.38 $13.9/page Order now Science, in my view had done something great without looking into the possibilities of where this would lead. I believe Djerassi, similar to most scientists of his day, was so entranced by the excitement of synthesizing his product and achieving his goal that he did not stop to think of the ramifications of his accomplishment. The ethical dilemma was not explored before hand, and this to me is the great tragedy of most scientific discovery, since I firmly believe each scientist is responsible for that which he creates. Djerassi does confront a few questions of ethics and morality after the fact. On page 61, in chapter 6, he reflects on the argument of the use of poor Mexican and Puertorrican women for preliminary experiments. Is this just another manifestation of exploitation of the poor? Djerassi says absolutely not. Yes, the poor our the initial guinea pigs for research but this is no different from what dentists, barbers, and young surgeons do. All of these groups use the poor to hone their skills, not because of the poor womens ignorance but because middle class, suburbanite, white women are unlikely to volunteer their services for the sake of science. My main problem with this is that he claims they will not volunteer their services. Of course not, they are aware of the possible detrimental effects of such experimentation. This is obviously because they are probably more highly educated the poor Hispanic women. Poverty often precludes a lack of good schooling and education. Thus the awareness of such a group to scientific studies will most likely be much lower. They probably knew nothing of scientific research at all, let alone how to read a consent form that leaves them without legal recourse. Djerassi mentions this as well, the idea that he can not offer them consent forms because they cant read. That seems preposterous to me! If he can not inform his patients of the possible side effects then what chance do they have at justice if some carelessly administered drug causes them harm? Coming back to his original argument, he claimed suburbanites were not likely to volunteer their services for the sake of scientific study, but I dare argue the poor women most likely did not volunteer but were asked. Did he ask the suburbanites? I highly doubt it was even proposed. In chapter 9 Djerassi addresses another question he was often confronted with. How do you feel about the social outcome of the work?. He answered this with a shrug of his shoulders and a simple, I couldnt have changed things. Again, I am disturbed by the flippant manner of his response. Yes, he acknowledged the impact the Pill had on the sexual revolution, but fails to see beyond what has already occurred, claiming powerlessness against the pace of science. Let me say that he is most likely partially correct. There is very little to be done when science determines to do something and the race begins toward that goal. .u7574d1de20490b0b10b42aaa9b631342 , .u7574d1de20490b0b10b42aaa9b631342 .postImageUrl , .u7574d1de20490b0b10b42aaa9b631342 .centered-text-area { min-height: 80px; position: relative; } .u7574d1de20490b0b10b42aaa9b631342 , .u7574d1de20490b0b10b42aaa9b631342:hover , .u7574d1de20490b0b10b42aaa9b631342:visited , .u7574d1de20490b0b10b42aaa9b631342:active { border:0!important; } .u7574d1de20490b0b10b42aaa9b631342 .clearfix:after { content: ""; display: table; clear: both; } .u7574d1de20490b0b10b42aaa9b631342 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u7574d1de20490b0b10b42aaa9b631342:active , .u7574d1de20490b0b10b42aaa9b631342:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u7574d1de20490b0b10b42aaa9b631342 .centered-text-area { width: 100%; position: relative ; } .u7574d1de20490b0b10b42aaa9b631342 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u7574d1de20490b0b10b42aaa9b631342 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u7574d1de20490b0b10b42aaa9b631342 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u7574d1de20490b0b10b42aaa9b631342:hover .ctaButton { background-color: #34495E!important; } .u7574d1de20490b0b10b42aaa9b631342 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u7574d1de20490b0b10b42aaa9b631342 .u7574d1de20490b0b10b42aaa9b631342-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u7574d1de20490b0b10b42aaa9b631342:after { content: ""; display: block; clear: both; } READ: Prostitution Essay But to claim oneself unable to have made a difference, especially someone of his intelligence and influence, is remarkably sad. I firmly believe that the direction of science, though difficult to stop or turn entirely, can be manipulated by those forefront scientists enough to at least seek discovery with a certain social awareness. This claim of powerlessness is a cop out, clear and simple, and no euphemistic jargon or claim of ignorance will give the victims their normal lives back. This has been the case in nuclear, medical, and chemical research. Invariably someone suffers due to the insincerity of others. Maybe I am being a bit harsh. Djerassis Pill did give women a great power, the power to control childbirth, as well as a greater freedom toward sexuality that before this was monopolized by . Through A Narrow Chink An Ethical Dilemma Essay Example For Students Through A Narrow Chink: An Ethical Dilemma Essay by Pablo Baez Chemistry 104 Prof. Holme In 1951 Carl Djerassi, with the Mexican pharmaceutical company Syntex, developed the first oral contraceptive by synthesizing and altering the natural hormone Progesterone into a superpotent, highly effective oral progestational hormone called norethindrone. Admittedly, the dynamics and importance of this find were astounding, since before this the only means of contraception was abortion, and even that was not legalized at the time. The race to produce this synthetic agent was highly competitive, being sought after by many pharmaceuticals throughout the world, and for a small fledgling company in Mexico of all places to find it first only added to the excitement of the achievement. Yet aside from all this excitement and competitive fervor something great and disturbing was being bypassed. We will write a custom essay on Through A Narrow Chink: An Ethical Dilemma specifically for you for only $16.38 $13.9/page Order now Science, in my view had done something great without looking into the possibilities of where this would lead. I believe Djerassi, similar to most scientists of his day, was so entranced by the excitement of synthesizing his product and achieving his goal that he did not stop to think of the ramifications of his accomplishment. The ethical dilemma was not explored before hand, and this to me is the great tragedy of most scientific discovery, since I firmly believe each scientist is responsible for that which he creates. Djerassi does confront a few questions of ethics and morality after the fact. On page 61, in chapter 6, he reflects on the argument of the use of poor Mexican and Puertorrican women for preliminary experiments. Is this just another manifestation of exploitation of the poor? Djerassi says absolutely not. Yes, the poor our the initial guinea pigs for research but this is no different from what dentists, barbers, and young surgeons do. All of these groups use the poor to hone their skills, not because of the poor womens ignorance but because middle class, suburbanite, white women are unlikely to volunteer their services for the sake of science. My main problem with this is that he claims they will not volunteer their services. Of course not, they are aware of the possible detrimental effects of such experimentation. This is obviously because they are probably more highly educated the poor Hispanic women. Poverty often precludes a lack of good schooling and education. Thus the awareness of such a group to scientific studies will most likely be much lower. They probably knew nothing of scientific research at all, let alone how to read a consent form that leaves them without legal recourse. Djerassi mentions this as well, the idea that he can not offer them consent forms because they cant read. That seems preposterous to me! If he can not inform his patients of the possible side effects then what chance do they have at justice if some carelessly administered drug causes them harm? Coming back to his original argument, he claimed suburbanites were not likely to volunteer their services for the sake of scientific study, but I dare argue the poor women most likely did not volunteer but were asked. Did he ask the suburbanites? I highly doubt it was even proposed. In chapter 9 Djerassi addresses another question he was often confronted with. How do you feel about the social outcome of the work?. He answered this with a shrug of his shoulders and a simple, I couldnt have changed things. Again, I am disturbed by the flippant manner of his response. Yes, he acknowledged the impact the Pill had on the sexual revolution, but fails to see beyond what has already occurred, claiming powerlessness against the pace of science. Let me say that he is most likely partially correct. There is very little to be done when science determines to do something and the race begins toward that goal. .uf652586538e87cc3ac3130c686e30c96 , .uf652586538e87cc3ac3130c686e30c96 .postImageUrl , .uf652586538e87cc3ac3130c686e30c96 .centered-text-area { min-height: 80px; position: relative; } .uf652586538e87cc3ac3130c686e30c96 , .uf652586538e87cc3ac3130c686e30c96:hover , .uf652586538e87cc3ac3130c686e30c96:visited , .uf652586538e87cc3ac3130c686e30c96:active { border:0!important; } .uf652586538e87cc3ac3130c686e30c96 .clearfix:after { content: ""; display: table; clear: both; } .uf652586538e87cc3ac3130c686e30c96 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .uf652586538e87cc3ac3130c686e30c96:active , .uf652586538e87cc3ac3130c686e30c96:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .uf652586538e87cc3ac3130c686e30c96 .centered-text-area { width: 100%; position: relative ; } .uf652586538e87cc3ac3130c686e30c96 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .uf652586538e87cc3ac3130c686e30c96 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .uf652586538e87cc3ac3130c686e30c96 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .uf652586538e87cc3ac3130c686e30c96:hover .ctaButton { background-color: #34495E!important; } .uf652586538e87cc3ac3130c686e30c96 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .uf652586538e87cc3ac3130c686e30c96 .uf652586538e87cc3ac3130c686e30c96-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .uf652586538e87cc3ac3130c686e30c96:after { content: ""; display: block; clear: both; } READ: Basic discription of microbiology Essay But to claim oneself unable to have made a difference, especially someone of his intelligence and influence, is remarkably sad. I firmly believe that the direction of science, though difficult to stop or turn entirely, can be manipulated by those forefront scientists enough to at least seek discovery with a certain social awareness. This claim of powerlessness is a cop out, clear and simple, and no euphemistic jargon or claim of ignorance will give the victims their normal lives back. This has been the case in nuclear, medical, and chemical research. Invariably someone suffers due to the insincerity of others. Maybe I am being a bit harsh. Djerassis Pill did give women a great power, the power to control childbirth, as well as a greater freedom toward sexuality that before this was monopolized by men. But medical ethics and moral responsibility . Through A Narrow Chink An Ethical Dilemma Essay Example For Students Through A Narrow Chink: An Ethical Dilemma Essay Through A Narrow Chink: An Ethical Dilemma Essay by Pablo Baez Chemistry 104 Prof. Holme In 1951 Carl Djerassi, with the Mexican pharmaceutical company Syntex, developed the first oral contraceptive by synthesizing and altering the natural hormone Progesterone into a superpotent, highly effective oral progestational hormone called norethindrone. Admittedly, the dynamics and importance of this find were astounding, since before this the only means of contraception was abortion, and even that was not legalized at the time. The race to produce this synthetic agent was highly competitive, being sought after by many pharmaceuticals throughout the world, and for a small fledgling company in Mexico of all places to find it first only added to the excitement of the achievement. Yet aside from all this excitement and competitive fervor something great and disturbing was being bypassed. We will write a custom essay on Through A Narrow Chink: An Ethical Dilemma specifically for you for only $16.38 $13.9/page Order now Science, in my view had done something great without looking into the possibilities of where this would lead. I believe Djerassi, similar to most scientists of his day, was so entranced by the excitement of synthesizing his product and achieving his goal that he did not stop to think of the ramifications of his accomplishment. The ethical dilemma was not explored before hand, and this to me is the great tragedy of most scientific discovery, since I firmly believe each scientist is responsible for that which he creates. Djerassi does confront a few questions of ethics and morality after the fact. On page 61, in chapter 6, he reflects on the argument of the use of poor Mexican and Puertorrican women for preliminary experiments. Is this just another manifestation of exploitation of the poor? Djerassi says absolutely not. Yes, the poor our the initial guinea pigs for research but this is no different from what dentists, barbers, and young surgeons do. All of these groups use the poor to hone their skills, not because of the poor womens ignorance but because middle class, suburbanite, white women are unlikely to volunteer their services for the sake of science. My main problem with this is that he claims they will not ;volunteer; their services. Of course not, they are aware of the possible detrimental effects of such experimentation. This is obviously because they are probably more highly educated the poor Hispanic women. Poverty often precludes a lack of good schooling and education. Thus the awareness of such a group to scientific studies will most likely be much lower. They probably knew nothing of scientific research at all, let alone how to read a consent form that leaves them without legal recourse. Djerassi mentions this as well, the idea that he can not offer them consent forms because they cant read. That seems preposterous to me! If he can not inform his patients of the possible side effects then what chance do they have at justice if some carelessly administered drug causes them harm? Coming back to his original argument, he claimed suburbanites were not likely to volunteer their services for the sake of scientific study, but I dare argue the poor women most likely did not volunteer but were asked. Did he ask the suburbanites? I highly doubt it was even proposed. In chapter 9 Djerassi addresses another question he was often confronted with. How do you feel about the social outcome of the work?. He answered this with a shrug of his shoulders and a simple, I couldnt have changed things;. Again, I am disturbed by the flippant manner of his response. Yes, he acknowledged the impact the Pill had on the sexual revolution, but fails to see beyond what has already occurred, claiming powerlessness against the pace of science. Let me say that he is most likely partially correct. There is very little to be done when science determines to do something and the race begins toward that goal. .u6565d28ba6a1e64e9048de808d00dd6a , .u6565d28ba6a1e64e9048de808d00dd6a .postImageUrl , .u6565d28ba6a1e64e9048de808d00dd6a .centered-text-area { min-height: 80px; position: relative; } .u6565d28ba6a1e64e9048de808d00dd6a , .u6565d28ba6a1e64e9048de808d00dd6a:hover , .u6565d28ba6a1e64e9048de808d00dd6a:visited , .u6565d28ba6a1e64e9048de808d00dd6a:active { border:0!important; } .u6565d28ba6a1e64e9048de808d00dd6a .clearfix:after { content: ""; display: table; clear: both; } .u6565d28ba6a1e64e9048de808d00dd6a { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u6565d28ba6a1e64e9048de808d00dd6a:active , .u6565d28ba6a1e64e9048de808d00dd6a:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u6565d28ba6a1e64e9048de808d00dd6a .centered-text-area { width: 100%; position: relative ; } .u6565d28ba6a1e64e9048de808d00dd6a .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u6565d28ba6a1e64e9048de808d00dd6a .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u6565d28ba6a1e64e9048de808d00dd6a .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u6565d28ba6a1e64e9048de808d00dd6a:hover .ctaButton { background-color: #34495E!important; } .u6565d28ba6a1e64e9048de808d00dd6a .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u6565d28ba6a1e64e9048de808d00dd6a .u6565d28ba6a1e64e9048de808d00dd6a-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u6565d28ba6a1e64e9048de808d00dd6a:after { content: ""; display: block; clear: both; } READ: Conveyer belt project Essay But to claim oneself unable to have made a difference, especially someone of his intelligence and influence, is remarkably sad. I firmly believe that the direction of science, though difficult to stop or turn entirely, can be manipulated by those forefront scientists enough to at least seek discovery with a certain social awareness. This claim of powerlessness is a cop out, clear and simple, and no euphemistic jargon or claim of ignorance will give the victims their normal lives back. This has been the case in nuclear, medical, and chemical research. Invariably someone suffers due to the insincerity of others. Maybe I am being a bit harsh. Djerassis Pill did give women a great power, the power to control childbirth, as well as a greater freedom toward sexuality that before this was monopolized by men. But . Through A Narrow Chink An Ethical Dilemma Essay Example For Students Through A Narrow Chink: An Ethical Dilemma Essay Through A Narrow Chink: An Ethical Dilemma Through A Narrow Chink: An Ethical Dilemma by Pablo Baez Chemistry 104 Prof. Holme We will write a custom essay on Through A Narrow Chink: An Ethical Dilemma specifically for you for only $16.38 $13.9/page Order now In 1951 Carl Djerassi, with the Mexican pharmaceutical company Syntex, developed the first oral contraceptive by synthesizing and altering the natural hormone Progesterone into a superpotent, highly effective oral progestational hormone called norethindrone. Admittedly, the dynamics and importance of this find were astounding, since before this the only means of contraception was abortion, and even that was not legalized at the time. The race to produce this synthetic agent was highly competitive, being sought after by many pharmaceuticals throughout the world, and for a small fledgling company in Mexico of all places to find it first only added to the excitement of the achievement. Yet aside from all this excitement and competitive fervor something great and disturbing was being bypassed. Science, in my view had done something great without looking into the possibilities of where this would lead. I believe Djerassi, similar to most scientists of his day, was so entranced by the excitement of synthesizing his product and achieving his goal that he did not stop to think of the ramifications of his accomplishment. The ethical dilemma was not explored before hand, and this to me is the great tragedy of most scientific discovery, since I firmly believe each scientist is responsible for that which he creates. Djerassi does confront a few questions of ethics and morality after the fact. On page 61, in chapter 6, he reflects on the argument of the use of poor Mexican and Puertorrican women for preliminary experiments. Is this just another manifestation of exploitation of the poor? Djerassi says absolutely not. Yes, the poor our the initial guinea pigs for research but this is no different from what dentists, barbers, and young surgeons do. All of these groups use the poor to hone their skills, not because of the poor womens ignorance but because middle class, suburbanite, white women are unlikely to volunteer their services for the sake of science. My main problem with this is that he claims they will not volunteer their services. Of course not, they are aware of the possible detrimental effects of such experimentation. This is obviously because they are probably more highly educated the poor Hispanic women. Poverty often precludes a lack of good schooling and education. Thus the awareness of such a group to scientific studies will most likely be much lower. They probably knew nothing of scientific research at all, let alone how to read a consent form that leaves them without legal recourse. Djerassi mentions this as well, the idea that he can not offer them consent forms because they cant read. That seems preposterous to me! If he can not inform his patients of the possible side effects then what chance do they have at justice if some carelessly administered drug causes them harm? Coming back to his original argument, he claimed suburbanites were not likely to volunteer their services for the sake of scientific study, but I dare argue the poor women most likely did not volunteer but were asked. Did he ask the suburbanites? I highly doubt it was even proposed. In chapter 9 Djerassi addresses another question he was often confronted with. How do you feel about the social outcome of the work?. He answered this with a shrug of his shoulders and a simple, I couldnt have changed things. Again, I am disturbed by the flippant manner of his response. Yes, he acknowledged the impact the Pill had on the sexual revolution, but fails to see beyond what has already occurred, claiming powerlessness against the pace of science. Let me say that he is most likely partially correct. There is very little to be done when science determines to do something and the race begins toward that goal. .u227277fa00df9bb558429f4ced216d9e , .u227277fa00df9bb558429f4ced216d9e .postImageUrl , .u227277fa00df9bb558429f4ced216d9e .centered-text-area { min-height: 80px; position: relative; } .u227277fa00df9bb558429f4ced216d9e , .u227277fa00df9bb558429f4ced216d9e:hover , .u227277fa00df9bb558429f4ced216d9e:visited , .u227277fa00df9bb558429f4ced216d9e:active { border:0!important; } .u227277fa00df9bb558429f4ced216d9e .clearfix:after { content: ""; display: table; clear: both; } .u227277fa00df9bb558429f4ced216d9e { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u227277fa00df9bb558429f4ced216d9e:active , .u227277fa00df9bb558429f4ced216d9e:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u227277fa00df9bb558429f4ced216d9e .centered-text-area { width: 100%; position: relative ; } .u227277fa00df9bb558429f4ced216d9e .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u227277fa00df9bb558429f4ced216d9e .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u227277fa00df9bb558429f4ced216d9e .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u227277fa00df9bb558429f4ced216d9e:hover .ctaButton { background-color: #34495E!important; } .u227277fa00df9bb558429f4ced216d9e .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u227277fa00df9bb558429f4ced216d9e .u227277fa00df9bb558429f4ced216d9e-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u227277fa00df9bb558429f4ced216d9e:after { content: ""; display: block; clear: both; } READ: Tom ?lancy Essay But to claim oneself unable to have made a difference, especially someone of his intelligence and influence, is remarkably sad. I firmly believe that the direction of science, though difficult to stop or turn entirely, can be manipulated by those forefront scientists enough to at least seek discovery with a certain social awareness. This claim of powerlessness is a cop out, clear and simple, and no euphemistic jargon or claim of ignorance will give the victims their normal lives back. This has been the case in nuclear, medical, and chemical research. Invariably someone suffers due to the insincerity of others. Maybe I am being a bit harsh. Djerassis Pill did give women a great power, the power to control childbirth, as well as a greater freedom toward sexuality that before this was monopolized by .

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

Biography of Betty Friedan, Feminist, Writer, Activist

Biography of Betty Friedan, Feminist, Writer, Activist Betty Friedan (February 4, 1921–February 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 Goldstein  Horwitz OberndorfDied: February 4, 2006 in Washington, D.C.Education: Smith College  (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. 1947–1969)Children: Daniel, Emily, JonathanNotable Quote:  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 Women’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 â€Å"traditional† notions of femininity, they could then truly enjoy being women. Sources Friedan, Betty.  The Feminine Mystique. W.W. Norton Company, 2013.â€Å"Betty Friedan.†Ã‚  National Womens History MuseumFindagrave.com. Find a Grave.

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Db1 managing organizational change - Research Paper Example In order to maintain customer preference and ensure continued growth within the corporation, McDonald’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 Company’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 company’s market share, as many people preferred McDonald products (McDonald Corporation, 2013). This strategy focused on consistency of the company’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,

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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 ‘to love the sinner and hate the sin’ 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. Aquinas’ 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 ‘Continuation of the species through reproduction’ 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 ‘unnatural’, 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 earth’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 ‘outcast’ in society.The first maxim of Kant’s Categorical Imperative could be a problem with homosexuality as it implies that if you are homosexual everyone else ought to be to  . 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.Fletcher’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 texts’ 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 isn’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 Kant’s approach is the fact that the maxim of universalisation is difficult to apply to sexual ethics. As you can’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 Kant’s rule of no sex outside marriage. This is, of course, much easier to follow.Fletcherâ€⠄¢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 ‘to love the sinner and hate the sin’ 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. Aquinas’ 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 ‘Continuation of the species through reproduction’ 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 ‘unnatural’, 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 earth’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 ‘outcast’ in society.The first maxim of Kant’s Categorical Imperative could be a problem with homosexuality as it implies that if you are homosexual everyone else ought to be to  . 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.Fletcher’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 texts’ 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 isn’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 Kant’s approach is the fact that the maxim of universalisation is difficult to apply to sexual ethics. As you can’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 Kant’s rule of no sex outside marriage. This is, of course, much easier to follow.Fletcherâ€⠄¢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

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? The  Lines of Blaschko or  Blaschkos lines make V-shaped stripes down your back, u-shapes  on your chest and stomach, simple stripes on your arms and legs, and waves on your head. The stripes were first described by German  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 psoriasis  (one to two years)linear scleroderma Genetic Skin Disorders Conradi-Hunermann syndromeMenke’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.

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  ± ? 80 gets: and 6 states â€Å"no solution†: maximum 3/4 marks 4  ± 16 + 96 6 4  ± 112 = 6 2 ±2 7 = 3 = 2,43 or ? 1,10 112 If doesn’t conclude with â€Å"no solution†: maximum 2/4 marks 4  ± 112 or 6 decimal answer (4) Copyright reserved Mathematics/PI 3 NSC – Memorandum DBE/November 2011 OR 3x 2 ? 4 x = 8 3x 2 ? 4 x ? 8 = 0 x= = ? b  ± b ? 4ac 2a ? (? 4)  ± 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 – 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 = – 3 or k = – 2 x x = ? 3 or = ? 2 y y OR factors answers (3) x 2 + 5 xy + 6 y 2 = 0 x= x= ? 5 y  ± (5 y ) 2 ? 4(1)(6 y 2 ) 2(1) ? 5y  ± y2 2 ? 5y  ± 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= ± y 2 2 5 1 x=? y ± y 2 2 completing the square Copyright reservedPlease turn over Mathematics/PI x = ? 3 y x = ? 3 y x = ? y 5 NSC – 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 = – 3 or k = – 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 = – 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=8–y substitution y values both correct x values (5) Please turn over Mathematics/PI 6 NSC – 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 – 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  ± 12 ? 4(1)(32) y= 2(1) 2 ? 12  ± 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)  ± 28  ± 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 – 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 =  ± 128 x =  ±8 2 OR a=4 x r= 4 ? x? ar 2 = 4? ? ? 4? ? x? 32 = 4? ? ? 4? x 2 = 128 OR x =  ±11,31 OR x =  ± 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 =  ± 128 x =  ±8 2 or x =  ±11,31 or x =  ± 2 2 7 both answers (surd or decimal or exponential form) (3) substitutes correctly into geometric mean formula i. e.  ± 4? 32 both answers (surd or decimal or exponential form) (3) Please turn over OR x =  ± 4 ? 32 =  ± 128 or x =  ±8 2 or x =  ±11,31 or x =  ± 2 2 7 Copyright reserved Mathematics/PI 9 NSC – 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 â€Å"reversing† Sn expressing 2Sn grouping to get 2 S n = n[2a + (n ? 1)d ] (4) writing out Sn â€Å"reversing† 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 – 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 †¦ Pn = 3. 2 n? 1 P26 = 3. 2 26 ? 1 = 100663296 Consider sequence Q: 3 ; 9 ; 15 †¦ 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 – 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 – Memorandum DBE/November 2011 QUESTION 4 4. 1 The second, third, fourth and fift h terms are 1 ; – 6 ; T4 and – 14 First differences are: – 7 ; T4 + 6 ; – 14 – T4 So T4 + 6 + 7= – 14 – 2T4 – 6 T4 = – 11 d = – 11 + 6 + 7 = 2 or – 14 + 22 – 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 – 14 – T4 setting up equation T5 ? T2 = (T5 ? T4 ) + (T4 ? T3 ) + (T3 ? T2 ) answer (5) –7 –7+d – 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 – T1 T1 8 1 -7 T4+13 -6 T4+6 -20-2 T4 -14 T4 -14 T4 –7 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 – Memorandum DBE/November 2011 OR T1 x 1–x -8+x T2 1 -7 y +13 T3 -6 y+6 20 – 2y T4 y -14 y T5 -14 –7 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 –6 -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 – 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 ‘arm’ of the hyperbola loses the ‘shape’ 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 – 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 – 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 ; –7) 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 =†¦ (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 – 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 – 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 – 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 – 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 – 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 –8x 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 – 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 – 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= –60 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 – 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 = – 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 – 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 = – 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 – 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=†“4 graph (3) f 1 –4 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. –4 OR Copyright reserved ? f has a local minimum at x = ? 4 x=–4 f / ( x) lt; 0 for x lt; ? 4 f / ( x) gt; 0 for ? lt; x 0 so graph is concave up at x = – 4, so f has a local minimum at x = – 4. x=–4 gradient negative for x lt; ? 4 gradient positive for ? 4 lt; x lt; 1 (3) f ? (? 4) = 0 f (? 4) gt; 0 x=–4 (3) [4] QUESTION 11 11. 1 11. 2 V (0) = 100 ? 4(0) = 100 litres Rate in – rate out = 5 – k l / min answer (1) 5–k –4 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 – 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 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 – 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 inequality’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 – 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