Area and Volume

5 ? x ? 0. 5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0, 13). (a)Show that A =10. (2) (b)Given that f(15) = 3. 49 (correct to 3 significant figures), find the value of k. (3) (c)(i)Using your value of k, find f? (x). (ii)Hence, explain why f is a decreasing function. iii)Write down the equation of the horizontal asymptote of the graph f. (5) Let g(x) = –x2 + 12x – 24. (d)Find the area enclosed by the graphs of f and g. (6) (Total 16 marks) 3. The following diagram shows the graphs of f (x) = ln (3x – 2) + 1 and g (x) = – 4 cos (0. 5x) + 2, for 1 ? x ? 10. (a)Let A be the area of the region enclosed by the curves of f and g. (i)Find an expression for A. (ii)Calculate the value of A. (6) (b)(i)Find f ? (x). (ii)Find g? (x). (4) c)There are two values of x for which the gradient of f is equal to the gradient of g. Find both these values of x. (4) (Total 14 marks) 4. The graph of f(x) = , for –2 ? x ? 2, is shown below. The region enclosed by the curve of f and the x-axis is rotated 360Â ° about the x-axis. Find the volume of the solid formed. (Total 6 marks) 5. The graph of y = between x = 0 and x = a is rotated 360Â ° about the x-axis. The volume of the solid formed is 32?. Find the value of a. (Total 7 marks) Area and Volume 5 ? x ? 0. 5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0, 13). (a)Show that A =10. (2) (b)Given that f(15) = 3. 49 (correct to 3 significant figures), find the value of k. (3) (c)(i)Using your value of k, find f? (x). (ii)Hence, explain why f is a decreasing function. iii)Write down the equation of the horizontal asymptote of the graph f. (5) Let g(x) = –x2 + 12x – 24. (d)Find the area enclosed by the graphs of f and g. (6) (Total 16 marks) 3. The following diagram shows the graphs of f (x) = ln (3x – 2) + 1 and g (x) = – 4 cos (0. 5x) + 2, for 1 ? x ? 10. (a)Let A be the area of the region enclosed by the curves of f and g. (i)Find an expression for A. (ii)Calculate the value of A. (6) (b)(i)Find f ? (x). (ii)Find g? (x). (4) c)There are two values of x for which the gradient of f is equal to the gradient of g. Find both these values of x. (4) (Total 14 marks) 4. The graph of f(x) = , for –2 ? x ? 2, is shown below. The region enclosed by the curve of f and the x-axis is rotated 360Â ° about the x-axis. Find the volume of the solid formed. (Total 6 marks) 5. The graph of y = between x = 0 and x = a is rotated 360Â ° about the x-axis. The volume of the solid formed is 32?. Find the value of a. (Total 7 marks)

Consultant report Assignment Example | Topics and Well Written Essays - 2500 words

Consultant report - Assignment Example ive management of time, all necessary activities are most likely to finally come to a halt and thus, result in increasing work stress (Hosseini, Nourbakhsh & Sepasi, 2013). Specifically, in cases of present world business scenarios, time is given a premium priority. In this context, the ‘Pareto Principle’ comes into the picture. This principle was mainly implemented with the intention of improvising the studies related to management principles and techniques (Backhaus, 1980). Multiple managers of big business organizations find this principle very effective in terms of problem identification and controlling the functional factors, which directly or indirectly contribute towards the effective utilization of resources. As per this particular principle, effective allocation of input resources significantly helps in bringing about improvements in the quality of output (Huffstutter & Smith, 1989). There are various other models and theories that have been developed gradually and even chronically in pursuit to manage time more efficiently and minimize the level of stress amid the workforce to the desirable extent (Bickford, 2005). Few of the most prominent theories and models will be assessed in the discussion henceforth, providing effective consulting to the organization involved in offering financial services and functionalities in to a substantial volume of customers. As the organization has been witnessing rising demand from its customers’ end, greater work pressure is burdened over the employees, which in turn increases their stress making it more challenging for them to manage their time efficiently. Hence, this consultation paper will aim at assisting the organization with certain remedial strategies to manage the stress level amid the existing workforce. Time management can be described as a process of effectively managing and scheduling time for successful completion of projects or activities. Depending on the functional complexity of this financial

Coca-cola in India Essay Example | Topics and Well Written Essays - 750 words

Coca-cola in India - Essay Example Again in the year 1993, Coca-Cola returned in the Indian market and strengthened its market presence. Nevertheless, while performing business in India, Coca-Cola faced several business related issues about the product quality, resource exploitation and market manipulation. The stakeholders of Coca-Cola has revealed concerns regarding utilization of water resources and the company was also criticized for unethical water extraction, water pollution and soil corrosion. Irrespective of negative publicity of Coca-Cola, customers has been engaged in purchase of its products because of strong brand reputation. Most of the Indian customers, particularly young customer generally prefer to purchase soft drinks of Coca-Cola brands1. Based on this aspect, this paper describes about the strategies of Coca-Cola in emerging market such as India. The key objective of the paper is to evaluate the core strategies used by Coca-Cola to operate business India. Furthermore, the paper also discusses about various issues faced by Coca-Cola in Indian market and accordingly provides recommendations for foreign investors as investment destination. CONCLUSION After conducting detailed analysis of the strategy of Coca-Cola in Indian market, it can be observed that there are multiple socio-cultural factors which have an impact on the business practices of the company. The most distinctive aspect of the company in India has been lack of environment friendly practices. Historically, the organization has been criticized by the stakeholders for engaging in unfair environmental activities and for unwanted exploitation of the natural resources. The actions of Coca-Cola have created numerous problems for farmers and families due to disruption of soils and crisis of drinking water. The unfriendly business practices of Coca-Cola have indirectly affected the life of individuals residing close to the production facilities1. From the above analysis, it is clear that cultural and economic condition of I ndia is favorable for Coca-Cola to operate business effectively. However, environmental issues and competitors’ performance is making the business environment challenging for Coca-Cola. Thus, proper employment of corporate social activities can perceived to be helpful for Coca-Cola to maintain its brand image as environmentally responsible corporate citizen. Besides, the Indian culture is also a vital aspect which needs to be considered by the company for business improvement. Coca-Cola already has good brand name with respect to product innovation and product varieties among the young consumer segment. Thus, by observing the business operations in several operational fields and by implementing appropriate policies for overcoming the challenges, Coca-Cola can make significant progress in the Indian market1. RECOMMENDATIONS The analysis of business performance of Coca-Cola can provide imperative learning experience for other foreign investors. From the performance of Coca-Cola in India, it can be stated that in order to grab the considerable market share and to earn substantial profit, organizations must concentrate on welfare of communities along with other business aspects. Notably, the brand reputation and brand recognition is not sufficient to operate business in the emerging market like India. When it comes to business, Indian approach

Situational Analysis of Women in Managament Essay

Situational Analysis of Women in Managament - Essay Example Situational Analysis of Women in Managament The goals and mission will be communicated more effectively and everyone in the organization will know what they are supposed to do and when they are supposed to do it in order to get to the goals of the organization and women are adept at managing households and communicating effectively with every member of the family. Every employee will work towards the same goals if they understand them and are committed. Most companies are aware that they need to have a good top management in their organization. However, they are unsure how to get that perfect team and many a times unsure about women. Creating the team requires that they know two aspects of their job; that is their responsibility to the organization and the lines of communication between them and the employees. Women should be crystal clear as to what they should be doing and how to do it properly. They also need to communicate the information effectively and efficiently so that other follow suit in the pursuing of goals. They should be open to employees and their feedback as well because communication is a two way street; women tend to be good listeners as well The top management job remains essentially the same; whether it is a flat structure organization or a typical hierarchical level organization with senior managers, middle managers and their own employees. It also changes with the size of the organization, but once again, even as the approaches are different, the roles remain the same. And since women always perceive themselves as an alien, they are more flexible to change and change management and so would be to the structure of an organization as well. The top management team takes charge of the decision making primarily and hence they need to have good judgment skills. A bad manager, will be detrimental both to the employees and the organization as well, and sometimes it is difficult to gauge if a manager has a sound personality fit for the job or not. The following discussion further outlines why women are competent for higher posts in organizations. (Drucker, 1974) Why women? A study of 2,500 Danish firms shows that women in top management and senior executive posts are not harmful but actually positive for an organization. Since this is a large sample size, the study seems to be plausible. However, the qualification of women is important as well; top management positions filled by less qualified women will lead the organization towards a downfall and therefore, women don’t have special knack but education benefits males and females both equally to equip them with the skill of running an organization. Women of skill and power such as Angelina Merkel and Hillary Clinton are good examples of good candidates for top posts and are a living example of leading women. (Nina Smith, 2006) Another study shows that women are good for the organization as they also bring diversity which is important in top management teams or TMTs. However, women in the top management are an ongoing issue over the years. Most men simply do not feel comfortable with women as their bosses. Especially in Asia, the barriers to entry for women are extremely high. However, those companies that did employ women noticed a positive growth in their companies and it is also foreseen as positive for their

China's Dangerous Overvaluation Article Example | Topics and Well Written Essays - 500 words

China's Dangerous Overvaluation - Article Example Based upon labor costs and trade patterns, author is of the view that Yuan is certainly overvalued by approximately 15% suggesting that it’s time for China to take corrective measures. Author suggests measuring increasing labor costs as one of the indicators to measure how much the currency has appreciated and also cites the fact that labor costs have increased more than the overall profitability of the Chinese companies. Author indicates that any further appreciation in the currency would actually be more harmful for the country because the overall level of debt has been creeping up in the economy which would ultimately hurt the domestic consumption in China. Author suggests that to arrest the appreciation of Yuan, one way could be to allow domestic prices to adjust to the appreciated Yuan however; this may result into difficult economic consequences whereas rebalancing from investment to consumption is recommended as an easier way to manage Yuan. Probably one of the biggest weaknesses of the article is the absence of any figures and data based upon which author made the claims. Almost all the arguments are without any solid economic data and most arguments are relatively theoretical in nature. It would have been much better had the author used the real economic data to point out the appreciation trends in the value of Yuan against the major international currencies specially US Dollar. It is also critical to note that China has basically not highlighted as to how an appreciated Yuan have been benefiting Chinese economy in maintaining healthy trade surplus besides emerging as the leading export oriented economy in the world. An increase in the labor costs may not be one of the basic indicators of measuring the appreciation in Yuan. An increase in labor costs may also be due to the increasing specialization within the Chinese economy and the fact that Chinese workers may be gaining more advanced skills. Gaining more

Special Education Article Example | Topics and Well Written Essays - 250 words

Special Education - Article Example avior, of which William was also observed to exhibit: inattention: â€Å"often does not seem to listen when spoken to directly† (cited in Foley, Carlton, & Howell, 1996, pp. 341-342); hyperactivity: â€Å"often leaves seat in classroom or in other situations in which remaining seated is expected; often runs about or climbs excessively in situations in which it is inappropriate† (APA, 1994, cited in Foley, Carlton, & Howell, 1996, p. 342). Concurrently, the behaviors that suggest that this may be a conduct disorder are as follows: aggression: â€Å"often bullies, threatens, or intimidates; often initiates physical fights; has been physically cruel to people† (APA, 1994, cited in Foley, Carlton, & Howell, 1996, p. 342); and destruction of property: â€Å"has deliberately destroyed others property† (APA, 1994, cited in Foley, Carlton, & Howell, 1996, p. 342). In making any recommendations or actions to address William’s dilemma, the legal considerations that must be taken into account include the use of excess force to restrain William and which could cause harm and injury to him; and implementing interventions that run counter to those recommended by the DHS or the surrogate mother, without proper court order or legal approval. Foley, H., Carlton, C., & Howell, R. (1996). The Relationship of Attention Deficit Hyperactivity Disorder and Conduct Disorder to Juvenile Delinquency: Legal Implications. Retrieved from Bull Am Acad Psychiatry Law:

Political Dynasty Essay Example for Free

Political Dynasty Essay â€Å"Propose bill of Sen. Ping Lacson for political dynasty† Due to the growing number of political dynasties, Senator Ping Lacson proposed and supported a bill that is against it. For that, I admire his determination to halt all the families that are involved in this. I also commend him for being a good follower. This was proven by Sen. Lacson when he followed already the bill even though it is not approved yet. He vows that he would retire from politics if his son, Ronald Jay, runs and wins in the 2016 polls. Political Dynasties should be stopped because of the negative effects of it in the good governance of our country. One of the effects, is corruption. For example, a senator discovered the anomalies of a congressman, he/she can easily cover it up because they are relatives. The other one is, one particular family has power all over the country thus, it results to injustices. In Senator Miriam Defensor-Santiago’s Bill, it was observed that political dynasty shouldn’t exist in local elective only. While as Sen. Lacson’s, not only local the local but also the national position is included. I think both of them have good intentions towards this. But they need to elaborate more the clause included in the said bill. Many people/government officials doesn’t approve of this because it is not clear to them the legal definition of a political dynasty and its corresponding consequences. I also think that it would be unfair for a candidate, who may be more qualified than his family or relative already elected in a public post, to be barred from running because of his relations. It is like we are. All in all, it is good but it should be clearer for the citizens and government to agree upon it.