Download file to see previous pages...
The modern practice in school curriculum is that instructors teach differentiation first before integration in contrast to the inception of calculus (Pitt, 2012).
In the 17th century, Newton and Leibniz contribution made a milestone in advance of scientific developments in Europe. Kepler found the volume of a bucket of wine to be a pile of thin horizontal circular discs. B. Cavalieri’s line formed from many points, plane formed from many lines and solid made from many planes. All these gave initiating ideas in integration. At the same time Newton and Leibniz related integration and differentiation to be reverse processes in their “Fundamental Theorem of Calculus” popularly known as “Newton-Leibniz Formula” (Stewart, 2010).
The calculus method became a very powerful tool in solving mathematical problems where other analytical methods failed those times. For instance, Jacob Bernoulli using calculus methods discovered that logarithmic spring under various transformations is invariant. In 1696, Johann Bernoulli asked a question that said, assuming friction was zero the path taken by a point mass to slide from a point that is higher to a point that is lower taking the shortest time possible (Hawkins, 2001). This led to the development of the calculus of variation. Other 17th century developments are contained in Euler’s introduction in analysis infinitorum, institutiones calculi differentialis and institutions calculi Integralis.
Consider the following shape, to find the volume and the surface area of the shape using integration then employ the use of infinitesimally small areas and volumes. Obtain the volume using this formula
For example, take a parabola in the x-y plane whose height bases on another parabolic function. Say, from x=-2 to x=2 that has elevation determined by a circle of radius 4 i.e. . Taking y to lie between y=x2+4 and y=12-x2 then the volume is given by
Integrating again using
...Download file to see next pagesRead More
Certain companies also think that the employees of the company come first and then the customers. Employees are that part of the organization that provides effort and thereby the company becomes able to offer products to the customers. If an employee is not able to provide his full effort then it is ultimately the loss of the company, as the management has failed to utilize the full potential of the employee.
MBA Market Place Segmentation Market segmentation can be defined as set of people or organisation that tends to share one or more similar characteristics which cause them to require the same product need and further divide the total market into various segments.
Kotler has explained that the objective of marketing is to lure in new customers by providing them a higher and more profitable value for money, while continuously retaining existing customers by exceeding customer or client expectations. It is more of a socially manageable process where customers increasingly seek out products or services by simply creating as well as exchanging values with others (Kotler & Armstrong, 2008, p.5) However, the world in the 21st century has changed and evolved a lot.
Once this happens, we say there has been an ethical influence over the economic environment. During such times, corporate entities need to structure and strategise their personal and organisational standards in such a way that aligns with any influences that the ethical and cultural standards would have with the market (den Nieuwenboer & Kaptein 2008).
According to the report there are a number of functional areas in an organization or business. These areas are the key areas that a business is heavily reliant on to ensure the smooth flow of operations. If one department would be left to take care of everything, not much would be achieved in the organization.
hings that I discovered about emerging markets and how multinational companies can succeed in these markets that I did not have any idea about before the start of this module. These new ideas, concepts and theories have been discovered largely with my interaction with the course
This was done by Ford Company in the 1920s when Henry Ford bought coal and iron mines, timberlands, rubber plantations, a railroad, freighters, sawmills, blast furnaces, a glassworks (Vossoughi, 2012).
The choice of an investment strategy varies across investors or firms. Some choose investment strategies that are of high risk while others choose less risky ones. However, there are principal tools that are used in the formulation of
As the paper highlights, competition is global and the economy demands products and services. Companies are forced by the consumers of their products to remain competitive by providing customized goods to meet the needs of the consumers, to respond quickly to the changes of the market which grew fast thus creating customer growth.
4 Pages(1000 words)Assignment
GOT A TRICKY QUESTION? RECEIVE AN ANSWER FROM STUDENTS LIKE YOU!
Let us find you another Assignment on topic Integration for FREE!