Calculus for Business Economics Math Problem Example | Topics and Well Written Essays - 1000 words

Calculus for Business Economics - Math Problem Example Thus . Or . 12. Same procedure as in the question no. 10. 20. (a) Given. So . Thus multiplying the two derivatives we get. (b) Similar as part (a). 24. (a) Given. Differentiating on both sides with respect to x, we get, which implies. So at given point (1, 2), the slope of the tangent to the curve is given by. (b) Given. Differentiating on both sides with respect to x, we get, which implies. So at given point (0, 3), the slope of tangent to the curve is given by. 50. Take the road towards east as x-axis and that towards north as y-axis. So their intersection is the origin. Set the clock at 0 at noon. After t hours the truck will be at point A (0, 70t) and the car will be at B (105(t-1), 0). So the distance S = AB is given by, which is equal to or simply. Thus . So required rate of change of distance at t = 2 is. 52. The quantity produced by the worker is given by. (a) So R(t) = Q'(t) = (b) Setting clock at 0 at 8:00 am., the time at 9:00 am is represented by t = 1. So R(1) =. (c) The time 9:06 am is represented by t = 1.1. So Q(1.1) - Q(1)R(1).(1.1 - 1) = (27)(0.1) = 2.7. (d) Q(1.1) - Q(1) = Q(1.1)- 27 can be calculated by actually substituting t = 1.1 in the expression for Q(t). 56. Given no. of units manufactured by the relation. The cost is given by. Now . So at t = 2, it is equal to 1663.2. 58. Letbe the error in the measurement of radius r. And be the error in the measurement of surface area. Here. So . That is, % error in S = 2(% error in r). As % error in S is no greater than 8%. So the largest % error in r is 4%. Chapter 3 18. Given. For critical values we solve or. This gives. Also, which is +ve for and is -ve for . So at there is a relative minimum and at there is a relative maximum. 22. Given. So . This gives the critical...Equating 6t and 90 + 0.5t, we can get t. Set the clock at 0 at noon. After t hours the truck will be at point A (0, 70t) and the car will be at B (105(t-1), 0). So the distance S = AB is given by, which is equal to or simply. Thus . So required rate of change of distance at t = 2 is. 58. Letbe the error in the measurement of radius r. And be the error in the measurement of surface area. Here. So . That is, % error in S = 2(% error in r). As % error in S is no greater than 8%. So the largest % error in r is 4%. (a) The fence is on all the four sides of the pasture. So 2(x + y)= 320. Thus y = 160 - x. Therefore the area A = xy = x(160 - x) =. . On equating it with 0, we get x = 80. So y = 80. These dimensions give maximum area. 28. The traffic speed is given by. Where t represents the time in hours measured 0 at noon. So . The critical values are given by. Or . Thus t = 1 and t = 5. Also . It is -ve for t = 1 and is +ve for t = 5. Therefore, the traffic speed is fastest at 1 hour past noon that is at 1:00 pm. It is slowest at 5 hours past noon that is at 5:00 pm. 30. Let the breadth = x in. So the length = 2x in. If height = y in, then the . Thus . Now the area of the four walls and the bottom equals. The area of the top is. Therefore cost of the material used is. Its derivative can be equated with zero to get the value of x. 40. Let the coffee break occurs after x hours.

Tort law Essay Example | Topics and Well Written Essays - 1500 words

Tort law - Essay Example Basically, a tort law can be described as a civil wrong not arising from a contract and in the case of negligence, one should owe due consideration to one’s neighbour (Capiro Industries vs. Dickman 1990). It generally refers to the duty of care owed by somebody to his or her neighbour. Cooke (2010) suggests that in the event that it can be proved beyond any reasonable doubt by the court that the plaintiff has suffered a civil injustice, a claim can be raised and a remedy in the form of compensation can be instituted. On the other hand, negligence can be described as a civil wrong arising from the act of negligence by doing something a reasonable man would not do and a plaintiff must prove that the defendant owes a duty of care (Donoghue V. Stevenson 1932). It is of paramount importance for the plaintiff to be able to prove that the defendant had duty to take care of and that duty of care has been breached in order to win the claim. In order to prove the existence of day care d uty, some conditions should prevail where a defendant can be taken to task if this duty is breached. Under the case of Capiro Industries vs. ... In the above case of Ultramares Corporation v Touche (1931) 255 NY 170), the facts are: Justice Cardozo created a special rule with regards to accountants and auditors. He suggested that mass liability should not exist but that only the client and the intended third party could hold an accountant liable for the accountant's negligence (Wegman 2007). Thus the court must be careful especially when it comes to establish negligence in the case involving an unmarked amount of money for an unfixed time with regards to an indefinite third part. An accountant can facilitate a loan transaction between a financial institution and a third party and in this case, only the financial institution and the third party can hold the accountant liable in the event of losses as a result of negligence. In this case, negligence is a common form of tort law which can be punishable if carelessness is proved and the victim will be entitled to get compensation. Failure to protect others from harm as a result o f somebody’s conduct is known as negligence whereby a duty care will have been ignored. From the above explanation of tort, it is clear that the accountant in this particular case has a duty care to make sure that their actions do result in financial losses to the client or the other third party which can be the plaintiff. With regards to this normal test, it does not always follow that duty care is owed by the third party which may result in loss of something which requires the plaintiff to prove that the resultant loss has been a result of the action of the accountant. In the case of Paris v Stepney Borough Council (1951) the editor of Salmond on the Law

Jeffery Dahmer Case Essay Example | Topics and Well Written Essays - 2000 words

Jeffery Dahmer Case - Essay Example In September 1987 he killed once again. His second victim was Steven Toumi who he met in a gay bar and indulged in heavy drinking with. Dahmer admits to have no memory of the murder itself but recalls waking up to Toumi being dead and having blood on his mouth. Fourteen year old Jamie Doxtator, a Native American boy, was Dahmer’s third victim. He also marks the establishment of Dahmer’s modus operandi. Dahmer would visit bars in Milwaukee, Wisconsin, where he would, after thorough observation, pick up young men. Mostly pretending to be a photographer he offered these men money to pose for him and lured them into his apartment. Sometimes he would offer them money to hang-out and watch a movie. Once there he would drug their drinks and strangle them when they were unconscious. John Douglas, a full-time profiler working at the behavioural science division of the FBI in Quantico, defined Dahmer’s signature as one that showed his sadistic sexual satisfaction and contr ol projected by living with his victim’s corpses. Examples of such behaviour were that of necrophilia, cutting up his victims and cannibalizing certain parts like the heart, painting the skulls to keep as souvenirs and storing a victim’s head in his fridge. (Douglas, 1997). Sticking to this developed pattern Dahmer killed 5 more men by the summer of 1988 one of who was a Richard Gurrero, handsome young man of Mexican origin. All these murders took place in Dahmer’s grandmother’s basement.

Architectural Criticism Essay Example | Topics and Well Written Essays - 1000 words

Architectural Criticism - Essay Example Conventionally, each structural designer would wish to demonstrate considerable styles of modernity in his or her work (Roper 13). This explains why modern buildings convey aspects of contemporary art and delusional creativity. Practically, ideologies motivating advancement in architecture result from dynamics within the consumer market. Public and private consumers need real estate assets with unique aesthetic value. In this regard, we will appraise a current architectural development within the public platform, and understand the depth and breadth of objective concerns underlying such developments. The London Olympic Stadium In the recent past, London 2012 Olympic Stadium featured as one of the most controversial architectural design in the world. The 80,000 capacity stadium is located in Stratford’s Olympic park, in England. Its sole purpose of construction was to host final track and field events for the concluded 2012 Olympic Games. It is famous for hosting numerous elite political and social personalities during the opening ceremonies, including the iconic sky fall of James Bond. This stadium was designed by Sir Robert McAlpine in 2007. McAlpine was previously known for playing a supportive role in designing the spectacular Wembley Stadium in England (Lewis 28). After completion of all design prospects, construction commenced in November 2008 and ended in February 2011. Upon completion, the stadium’s design capacity was estimated at 80,000, with 25,000 permanent seats and 55,000 temporary ones. Apart from the sitting space, the facility also housed numerous changing rooms, parking garages and toilets for participating athletes and spectators. Architectural Facts about the Stadium On completion, Olympic Stadium was identified as one of the most spectacular public structures in the world. Such credit results from the fact that the stadium has unique architectural designs, with significant touch of fantasy and modernity. All the 55,000 temporar y seats are located on the top tier, which is detachable from the main part of the stadium. After completion of the games, the top tier was removed leaving only 25,000 seats on the lower decks (Roper 16). The aspect of including a dismountable upper deck was meant to address the issue of rigidity or permanence of the structure after Olympics. It was possible that Stratford would not get another foreseeable opportunity to host major sporting events like the 2012 summer games. With respect to this premise, designers would dismantle the structure into a small stadium with a conventional capacity for local events. Above the removable tier was a cable-supported roof made of glass. According to the design specifications, transparency of the roof would eliminate the need of artificial illumination during daytime events. Both the upper tier and the roof were supported by lightweight steel frames and low-carbon concrete (Bullivant 01). Actually, concrete used contained approximately 40% less carbon compared to normal concrete. This technical specification was meant to enhance implementation of green energy principles in sporting events. Use of low-carbon concrete is in line with England’s goals of promoting use of renewable energy sources. Despite its role in addressing green energy objectives, low-carbon concrete offers less structural strength compared to normal concrete. In addition, lightweight steel frames used for support the roof compromised further on structural

Coca-Cola's Marketing Strategy Essay Example | Topics and Well Written Essays - 1000 words

Coca-Cola's Marketing Strategy - Essay Example The company has been accused of using up water from the aquifers that are around their production plants creating acute water shortages around. Anders approximates that the firm uses almost three litres of water to make just one litre of Coca-Cola (12). They have been accused of discharging toxic water containing Malathion, DDT and chlorpyrifos. These are pesticides, which are carcinogenic and are known to lead to individuals’ immune systems being compromised. Besides the obvious health, concerns a rising from the toxic waste from the firm poses a major environmental threat to water reserves and the soil (White et. al. 15). DDT is a non-biodegradable pesticide thus its effects in the soil have a long-term effect to the soil and water and the communities around the enterprise. The company has been accused of dehydrating the communities around it destroying their agricultural calendars. Farmers are unable to sustain their farms, which they usually do by irrigation to sustain the ir crops putting their entire families at the risk of losing their lively hood (White et. al. 17). The impact of the water shortages has been felt most in the semi-arid areas such as Uttar Pradesh and Rajasthan where the company has over exploited the valuable resources. Coca cola has made efforts in an attempt to conserve water such as cooling water recirculation, water reuse and water recycling, and proper use of de-ionized water (Anders 73). Besides the aforementioned techniques, the firm may consider employing landscaping as a major way.

Philosophy Questions Essay Example for Free

Philosophy Questions Essay Question One A causal claim, by definition, is a statement about the causes of things. Regular (non-causal) claims are considered to be any declarative statement. While the regular claim can simply be made about anything as long as it is a declaration, causal statements require a certain sense of cause and effect. Causal claims examine the complex processes in which people, forces, events, and other things interact to cause certain phenomena. Causal claims rarely are proven due to the different things that may happen to cause things. Feedback: I agree with the answer because causal claims are definitively hard to prove. It depends on how you look at the event in question. Impartiality is a virtue when exploring causal claims and is often hard to keep when personally involved in the matter. Question Two A real life example of common thread reasoning in advertising is Listerine. Listerine is a mouthwash that claims to kill more germs than any other leading mouthwash. In actuality, mouthwash does not actually kill germs and the rate of germs killed does not meet FDA standards for antiseptics. The common thread would be that all mouthwashes claim to kill germs and they really do not. Most of them also claim they are antiseptics when they do not meet current FDA standards. Feedback: Listerine is a mouthwash which makes false claims as does many mouthwash companies. The common theme among these companies is their determination to market a product with falsehoods. If all of these companies make false claim, then what are they to be called?

Work experience placement to Little Sutton Nursery and Club Essay Example for Free

Work experience placement to Little Sutton Nursery and Club Essay Between 9 June and 20 June 2003 I went on a work experience placement to Little Sutton Nursery and Club. The placement lasted for two weeks. I worked Monday to Friday from 8. 45 a. m. to 3. 30 p. m. My main supervisor, who was the Manager of the Nursery, was Mrs. Debbie Blythe. On the first day I arrived at 8. 40 a. m. and I was introduced to the other members of staff. During the work experience placement I carried out a variety of jobs. The main job, which was extremely important and had to be carried out from the moment the children arrived to the moment they left, was supervising them. The days at the nursery were very structured. The children arrived at 9. 00 a. m. Between 9. 00 a. m. and 9. 30 a. m. was the time when the children sat on the carpet. The register was taken and a story was read to them. At 9. 30 a. m. the children did different activities these varied from craft to learning to count. At 10. 45 a. m. the children helped the staff to tidy up the activity they were doing. After tidying up the younger children went to the toilet before having a drink and some fruit. After having a break it was playtime again until 11. 50 a. m. when it was lunchtime. At lunchtime the children went into the dining hall with the Infant Scholl. They all had cooked school dinners. Lunchtime usually lasted about 25 minutes. After dinner the children watched a video lunch about 1. 30 p. m. At 1. 30 p. m. it was playtime until 2. 45 p. m. At this time all activities and toys were completely cleared away. The children were given a drink and a story was read until it was time for them to go home at 3. 15 p. m. While the children playing or carrying out activities, such as craft, I would do a variety of jobs. Almost everyday or my placement, I was asked to supervise the craft activity in the morning. This itself involved a number of tasks. I had to make sure each child was wearing an apron. I also had to write the childs name on their work. Once the child had finished the activity, I had to make sure the work was put on a rack to dry. I also had to make sure the children did not run out of glue or paint etc. Sometimes a child would ask me to read them a story. This usually gained the attention of other children and I would end up reading to a small group. A lot of the time the children wanted me to play with them. One day during my placement, I organised a game of dominoes with a group of six children. At break time I would sometimes make drinks for the children and prepare the fruit. Another job which I really enjoyed doing and I felt was rewarding was helping the children to complete counting books which the Nursery had produced. I think that the children enjoyed doing this with me and I found this interesting. I also learn a new skill which I how to teach children to count. I found this my most rewarding achievement. As well as teaching children to count, I also learnt many other different skills on my placement. An important thing which I had to do when reading to children was to speak clearly. I am usually a quite unclear and very fast speaker, however, during the placement I improved this skill. Another thing which I found to be very important when handling children was to have patience. Very often the children did not do as they were told the first time and therefore this meant I must have patience with them. I found this became easier as time went on. During my placement I found that I didnt really encounter many problems. However, in the first week I found myself asking questions constantly about where things were kept. After the first week I almost knew where everything was kept and routines became more familiar to me. Another minor problem I encountered was with some of the children. They were very stubborn and would not do as I asked. This was worrying sometimes as I felt they were endangering themselves. I resolved this problem by informing another member of staff. At my placement there were between 10 and 12 other members of staff. I found most of the staff very pleasant and willing to help me. However, I few of the staff were quite intimidating and I felt a little uncomfortable or lost for words when I was around them. Also, I found one of the members of staff to be very condescending. I felt as though she was talking down to me and spoke to me in the same way in which she spoke to the children. This really got on my nerves at first, but after a while I chose to ignore it and not to let it bother me. This placement has helped me to understand the disadvantages and advantages of this type of work. It has also helped me to decide on what I would like to do in the future. I found out that being a Nursery Assistant is a very badly paid job, although it is very hard work. This is the only real disadvantage of this type of job. I think the advantages far outweigh the disadvantages. This job can be very difficult at times, but can also be very rewarding. I think that young children are lovely to work with. This placement has made me realise that I would definitely like to work with children as a future career.