Derivative and Integral Essay Example | Topics and Well Written Essays - 1500 words

Derivative and Integral - Essay Example Let a is a number in the domain of f and Lim/h->0 [f(a+h)-f(a)]/h exists, then f is said to be differentiable at a. This limit is called the derivative of f at a and is denoted by f’(a).For all x at which f(x) is differentiable ,f’(x) is a function called the derived function of f(x) .The domain of f’(x) is the subset of f(x).f’(x) is sometimes called as the derivative or the differential coefficient of f(x) at x.The process of obtaining the derivative of f is called Differentiation.f’(x) is sometimes denoted by dy/dx or Dy   or Df(x) or d/dx f(x).2. EXAMPLEIf f(x) is a continuous function of x and if x varies, f(x) also varies correspondingly. But the variation in the function may not be uniform sometimes slowly and sometimes rapidly. Geometrically, this problem is equivalent of that of finding a tangent line to the graph of the function.The function F(x) is called the anti derivative of the function f(x) on the interval (a,b) if at all points of this interval F’(x)=f(x)Definition:Indefinite Integral: If the function F(x) is an anti derivative of f(x), then F(x) +c is called the indefinite integral of the function f(x).It is denoted by ∠«f(x)dx. Since c is an arbitrary constant the integral is reasonably referred to as indefinite integral.Thus by definition ,∠«f(x)dx= F(x)+ C if F’(x)=f(x).f(x) is called the integrand and c is called the constant of integration. x is the variable of integration. The process of obtaining the integral is called as Integration.Definite Integral:... Let >0 |f(x) - (13)| < Substitute f(x) = 5x+3 |5x+3 - (13)| < |5x-10|2 (5x+3)=13 PART 2 1. DERIVATIVE Let a is a number in the domain of f and Lim/h->0 [f(a+h)-f(a)]/h exists, then f is said to be differentiable at a. This limit is called the derivative of f at a and is denoted by f'(a).For all x at which f(x) is differentiable ,f'(x) is a function called the derived function of f(x) .The domain of f'(x) is the subset of f(x). f'(x) is sometimes called as the derivative or the differential coefficient of f(x) at x.The process of obtaining the derivative of f is called Differentiation. f'(x) is sometimes denoted by dy/dx or Dy or Df(x) or d/dx f(x). 2. EXAMPLE If f(x) is a continuous function of x and if x varies, f(x) also varies correspondingly. But the variation in the function may not be uniform sometimes slowly and sometimes rapidly. Geometrically, this problem is equivalent of that of finding a tangent line to the graph of the function. For Example, velocity is derived from the position function and acceleration is derived from the velocity function. Each of velocity at a point, acceleration at a point etc., is an instantaneous rate of change ,but not the average rate of change, which relates to a finite interval of space or time .This is obtained by applying the limit concept to the problem of determining the instantaneous rate of change of a function. This is done by finding the

International Relations Essay Example | Topics and Well Written Essays - 1000 words - 2

International Relations - Essay Example We may often wonder why some nations cooperate with each other while other nations go to war. The answer lies in analysis and the application of theories of political science and international relations. In this manner, theory can guide in the analysis and application of a basis for explaining current scenarios and unfolding realities. The present political scenario in Egypt and other parts of the Middle East is rather fluid and in a state of flux. As long established autocratic regimes break up and expose the cruel games of their despotic rulers, the era of the political strongman seems to be at a close. Saddam has already met his end. America cannot afford to look the other way any longer. The time is right for change and the writing is on the wall for Tunisia, Egypt, Yemen, Jordan, Libya and a slew of other Axis of Evil nations that seek to perpetuate their regimes through suppression of dissent and oppression of the native people, many of whom do not even know their political rig hts- and are much less allowed to express their true feelings. Change took thirty years to come about in Egypt, but the people paid the price for their freedom. The Structural Theorist Perspective & Core Assumptions Supporters of the structural theorist perspective are of the view that changes and political upheaval is brought on by the structures or institutions that are in place in a particular region. A structural theorist like Mary would seek to explain the recent changes in Egypt by using as her basis of argument characteristics associated with the system. She would be inclined to discount the value of state players. The structural theorist believes that the inherent nature of the international system is hierarchical or anarchical. Power distribution between states might be uni-polar, bi-polar or multi-polar. The system structure determines the goal of states whether it is security or wealth accumulation. At any given time there is a certain degree of uncertainty surrounding re lations between states. Comments about what should happen in Egypt now have come from Barrack Obama of the USA, David Cameron of the UK (he even made a visit to Egypt after Mubarak’s ouster and mingled with people at Tahrir Square after talking to the key general of the Armed Forces to bring about a change according to people’s expectations) and Germany’s Angela Merkel- so clearly these G20 leaders are keenly interested in Egypt’s fortunes and its implications for the future international relations and policy. The Social Theorist Perspective & Core Assumptions Supporters of the social theorist perspective are of the view that changes and political upheaval is brought on by the different classes of society or institutions that are in place in a particular region. A social theorist like Tom would point out to the rot in the system initiated and maintained by Hosni Mubarak for thirty years- and the creation of different classes of people in society that foug ht each other as they vied for power, wealth and prosperity. So here we would have the grounds for debate between the structural theorist and the social theorist. Mary would point out that the final impetus for change was pushed through by comments from Obama, Cameron and other world leaders. It was only

Discussion Forum Post Essay Example | Topics and Well Written Essays - 250 words - 5

Discussion Forum Post - Essay Example The way to accomplish the task was through advocacy for change, coercion by war or military and negotiation of treaties. The central aspect to unify the German states involved appealing for one language and culture. In addition, the German leaders had a romantic assertion that the culture, language and mind of the Germans were unique and superior to others. The achievement of this unity utilized the romantic aspects to preserve the traditional culture and leadership of Germany. Beethoven’s music (Ninth Symphony) maintained a traditional form of classic music and influences of enlightening the audience. Furthermore, the Beethoven’s music reflected the traditions, values and the historical background of the Germans. Moreover, Savage (2) indicates that Bismarck and King William I adopted the unique aspects in Beethoven’s ninth symphony to create a unique German nationalism. The aspects in Beethoven’s music that reflect the German culture include the classic, unique thematic movements. The movements stand independently yet Beethoven designed the music to deliver a uniform message. The other aspect in the music involves the romantic style of influencing the audience to maintain one culture. Furthermore, the themes in the music reflected the unity of the German people (Savage

Changes in Accounting Due to Globalization Assignment

Changes in Accounting Due to Globalization - Assignment Example Financial accounting refers to information that describes the financial resources, obligations, and activities of the business organization. Management accounting involves the development and interpretation of accounting information designed to assist management (Wiliam and Haka, 2005, p. 5-6). These two accounting systems differ in the dimensions of users to whom the information is produced, the structure of the information, sources of principles for both, report entity, purpose, need and time orientation etc. Financial accounting is basically concerned with producing financial information and reports like financial statements for external users including investors, creditors, government agencies, customers, and banks etc. But, managerial accounting is concerned with producing and providing accounting information for all internal users including managers for decision making, planning and controlling (Heitger and Mowen, 2007, p. 6) Khan (2007) emphasizes that the users of information produced by financial accounting other than management are often a faceless group. Normally, the managers of many companies do not personally know the shareholders or creditors etc. But, users of management account are within the organization like managers and those who help managers produce this information (p. 7) The information is presented in a different structure in management accounting and financial accounting. Financial account must follow a single and unified structure as the information related or presented in different organizations must be more or less in a uniform structure. Balance sheet, profit, and loss account or income statement and cash flow statements are the end products of financial accounting. The balance sheet is a financial position statement of the business for a particular period of time, generally for a financial year.  

Discussion Forum Post Essay Example | Topics and Well Written Essays - 250 words - 5

Discussion Forum Post - Essay Example The way to accomplish the task was through advocacy for change, coercion by war or military and negotiation of treaties. The central aspect to unify the German states involved appealing for one language and culture. In addition, the German leaders had a romantic assertion that the culture, language and mind of the Germans were unique and superior to others. The achievement of this unity utilized the romantic aspects to preserve the traditional culture and leadership of Germany. Beethoven’s music (Ninth Symphony) maintained a traditional form of classic music and influences of enlightening the audience. Furthermore, the Beethoven’s music reflected the traditions, values and the historical background of the Germans. Moreover, Savage (2) indicates that Bismarck and King William I adopted the unique aspects in Beethoven’s ninth symphony to create a unique German nationalism. The aspects in Beethoven’s music that reflect the German culture include the classic, unique thematic movements. The movements stand independently yet Beethoven designed the music to deliver a uniform message. The other aspect in the music involves the romantic style of influencing the audience to maintain one culture. Furthermore, the themes in the music reflected the unity of the German people (Savage

Research proposal is feasible to delivering package with drone in the

Is feasible to delivering package with drone in the nearest future - Research Proposal Example from this drones to cruise missiles that are also remotely controlled is the fact that drones can be reused and can lift payloads that are either lethal or not. Their importance is in the miniaturization of the cost of producing a full-scale aircraft. the inability to cost the pilots life in case of an accident and host of electronic masquerades that make them invincible in war zones. In an attempt to make automatic the systems that handle letters and parcels, various computerised technology have been applied. These are mainly used in the sorting of the bulky letters and parcels. In the delivery, manual transportation is used that involves human labour. In the delivery system, the automation of the process through the use of drones is a potential area of infusion of technology. In encouraging the acceptance of technology, the automation of services through drones could reduce the workforce or ensure the high level of efficiency that can result in the reduction of time. While using drones in the delivery mechanism, the reduction of the number of the mailmen, and the resultant cost is supposed to increase organizational profits, hours of work and accuracy of the delivery process. This aspect is what inspires the extensive research into the delivery process that uses the unmanned aerial vehicles that are in most cases referred to as drones. Despite being a potential area of improvement of service and the use of technology, the drones raises some economic, legal and safety concerns. The questions that will be handled, in their use, in the delivery system are: The method will involve a secondary research technique. The resources that will be used to conduct the research include books, journal, research articles and papers and information available on the internet portal. The audience of this research are companies that operate parcel delivery services and the other stakeholders like the federal aviation authority. The information that it will provide is crucial to

Idle Tears Paraphrase Essay Example for Free

Idle Tears Paraphrase Essay Paraphrase: As the speaker looks upon cheerful autumn fields, he longs for bygone days. His feelings rise from the seat of emotion, the heart, and gather to the eyes (line 3) as tears. He cannot link the tears to a specific memory, for they are idle tears—tears that he cannot explain. Apparently, it is the past in general that moves him, the days that are (lines 5, 10, 15, and 20). .The past can hearten, like mornings first light on the sail of a ship returning our friends from the land of the dead. And it can sadden, like evenings last light on the sail of a ship carrying those friends beyond the horizon. So sad, so fresh (line 10) are those days of long ago. .How strange and sad it is for a dying man to hear the first chirp of the birds at the dawn of a summer day and watch the sun turn the window into a glimmering square. .The bygone days are as sweet to us as the memories of kisses from loved ones who have died—as as sweet at those we imagined we bestowed on the lips of a person pledged to another. Memories of those days are as deep as first love and full of regret for what we did or did not do. They are death in life, those days that are long gone. Figures of speech: Alliteration know not (line 1) depth of some divine despair (line 2) Fresh as the first beam (line 6) friends up from (line 7) which reddens over one (line 8) with all we love below the verge (line 9) So sad, so fresh (line 10) sad and strange as in dark summer dawns (line 11)Apostrophe/Paradox Death in Life Apostrophe: The speaker addresses Death. Paradox: Death in Life Metaphor Death in Life, the days that are no more (line 20) Comparison of the days that are no more to Death in Life Simile The second stanza compares the freshness of the days that are no more (line 10) to the freshness of the first beam (line 6). It also compares the sadness of the days that are no more to the sadness of the last [beam] which reddens (line 8). The simile reads this way: The days that are no more are fresh as the first beam glittering on a sail . . . [and] sad as the last one which reddens. . . . The third stanza compares the sadness and strangeness of the days that are no more (line 15) to the earliest pipe of half-awakend birds / To dying ears (lines 11 and 12). The simile reads this way: The days that are no more are sad and strange . . . as the earliest pipe of half-awakend birds to dying ears. The fourth stanza compares the days that are no more (line 20) to the dearness of remembered kisses (line 16), the sweetness of kisses by hopeless fancy feigned (line 17), and the deepness of love (lines 18 and 19). The simile reads this way: The days that are no more are dear as remembered kisses after death . . . and sweet as those by hopeless fancy feignd . . . deep as love, deep as first love. . . .