...BINOMIALTHEOREM :
AKSHAY MISHRA
XI A , K V 2 , GWALIOR
In elementary algebra, the binomialtheorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power (x + y)n into a sum involving terms of the form axbyc, where the coefficient of each term is a positive integer, and the sum of the exponents of x and y in each term is n. For example: The coefficients appearing in the binomial expansion are known as binomial coefficients. They are the same as the entries of Pascal's triangle, and can be determined by a simple formula involving factorials. These numbers also arise in combinatorics, where the coefficient of xn−kyk is equal to the number of different combinations of k elements that can be chosen from an n-element set.
HISTORY :
HISTORY This formula and the triangular arrangement of the binomial coefficients are often attributed to Blaise Pascal, who described them in the 17th century, but they were known to many mathematicians who preceded him. The 4th century B.C. Greek mathematician Euclid mentioned the special case of the binomialtheorem for exponent 2 as did the 3rd century B.C. Indian mathematician Pingala to higher orders. A more general binomialtheorem and the so-called "Pascal's triangle" were known in the...

...The binomialtheorem is a simplified way of finding the expansion of a binomial to a certain power. We can of course find the expanded form of any binomial to a certain power by writing it and doing each step, but this process can be very time consuming when you get into let’s say a binomial to the 10th power.
Example:
(x+y)^0=1 of course because anything to the power if 0 equal 1
(x+y)^1= x+y anything to a power of 1 is just itself.
(x+y)^2= (x+y)(x+y) NOT x^2+y^2.
So expand (x+y)(x+y)=x^2+xy+yx+y^2 or x^2+2xy+y^2.
(x+y)^3=(x+y)(x+y)(x+y) now expanding it is getting quite long. Of course we could do this using the distribution property, but there must be an easier way of expanding binomials with out doing all the steps that is takes to expand something like (x+y)^10.
As surprising as it might be, there is an easier way of find what a binomial equals to a larger power. Using combinations we can find the coefficients of each term. Lets look at an example. The (x+y)^3 was the one I didn’t finish. Let’s look at it now. Using the equation in combination, we can insert the power that we are using and for each term to find the coefficient of each term.
Ex:
This process can be even easier. Blaise Pascal, a famous French mathematical among other things put together a triangle made up of numbers where each number represents the coefficient of each term (when expanded)...

...financing and facilitating international trade.
This report is based on Foreign Exchange Management of BASIC Bank Limited. The basic objective of this report is to find out and understanding about how the organization performs Foreign Exchange transactions, what are the current problems and identify the potentiality or Prospects of Foreign Exchange Department of BASIC Bank Limited (Tanbazar Branch).
Firstly this report consists of the introduction, objectives, rationale, scope, limitation and study methodology of the report. Here I included the purpose of preparing this report, the limitations I faced during the preparation and the method of gathering the information.
Then this report contains brief information about the background and approach of BASIC Bank Limited, the name and number of branches, and a brief description of Tanbazar Branch and analysis of its performance for last five years. The organizational structure & culture, the functions of the Bank is also discussed in this chapter. At last of chapter two the strengths, weaknesses, opportunities, and threats of the bank are presented.
After that this report consists of the internship position & duties which I did during my internship program in Foreign Exchange Department. Foreign exchange department plays significant roles through providing different services for the customers. With the globalization of economics, international trade has become quite competitive. Timely payment for exports...

...Sociology of Deviance and Crime: Essay
Question: Write a social sciences essay based on a documentary or film. Explore how deviance and/or crime are presented in this text and relate your findings to the various sociological perspectives and theories studied in class.
Choice of text: Easy A (2010 movie)
Deviance is an unavoidable part of human nature, and as such, is a fascinating and essential social phenomenon to study. The film Easy A explores how a high school student turns to deviance in order to benefit in popularity and financially. A number of sociological theories are recognisable in this film. It demonstrates clearly the motivations behind how primary deviance leads to secondary deviance. The text raises the theories of social exclusion and marginalisation, with specific relevance to adolescent years.
The teenage years are a big transition for people, as they mature from children into adults. This period is often a time of self-discovery or experimentation, as illustrated by the movie Easy A (2010). We are introduced to the protagonist, Olive, an unknown and unpopular schoolgirl. She starts to become noticed when she lies about losing her virginity, and the fibs begin to escalate. Through a number of lies and rumours, Olive gains a reputation for her false promiscuity, and this has a number of repercussions on herself and her peers. Olive's deviant acts clearly demonstrate a number of sociological theories and...

...Group Discussion Board Forum 1 – Part 1
Question 1.5
When deciding whether to create a custom motivation program or purchase one offered by a consulting firm, the manager must consider several different factors. First, the manager must consider the costs associated with both options. Is the cost of labor to create the program less than the cost of purchasing one by a consulting firm? Which option yields a better return on investment? Second, the manager needs to determine how quickly the program needs to be implemented. Purchasing a program from a consulting firm may be the quickest alternative. However, if the business can make do without the program for the time being, it may be best to create a custom program so that the business can design the program to focus specifically on aspects in which the office needs the most improvement. If the company chooses to purchase the program from the consulting firm, it risks not getting the most “bang for their buck” if the program focuses on aspects that are already strengths of the office.
Third, if the manager chooses to purchase a program, it is vital that the manager has conducted adequate research to determine the validity of the program and, if possible, speak to other businesses that have adopted the program as well. Fourth, the manager should consider the following: will the program actually boost team moral? Or will the program cause the office to feel as if they are being micromanaged? Fifth, the manager should...

...
Phan Nguyễn Thùy Trang
1132300348
Individual assignment
Organization chart
P&G organization chart:
Type of organization:
P&G is a formal organization. This is a type utilitarian organization, which maintains control through bartering. People join utilitarian organizations because they have something to gain. The culture is one of productivity and purpose. Members are compensated for their contributions. People have individual responsibility and receive wages for their contributions.
P&G apply the matrix that is a combination of the functional and divisional structures. The former divides departments within a company by the functions performed, while the latter divides them by products, customers or geographical location (Matrix Organizational Structures in Business Organizations, n.d). P&G is a global multi-national company, so by using matrix organization structure will bring many advantages but also several drawbacks.
Positive and negative consequences to individual and organization:
To organization:
One of the advantages of implementing the matrix organizational structure is that business can efficiently exchange of information. Efficient lines of communication enhance productivity and allow for quick decision-making by dividing operation in term of regions. The specialized information exchange allows managers in each region to respond quickly to the needs of customers and the organization.
The matrix structure encourages a...

...No shortcut work hard and practice very very hard
Practice makes you precice and perfect.
Good luck .Test preparation (abbreviated test prep) or exam preparation is an educational course, tutoring service, educational material or a learning tool designed to increase students' performance on standardized tests. Examples of these tests include entrance examinations used for admissions to institutions of higher education, such as college (e.g. the SAT and ACT), business school (the GMAT), law school (the LSAT), medical school (the MCAT), and graduate school (the GRE) and qualifying examinations for admission to gifted education programs.[1]
CompaniesEdit
Major companies offering test preparation services include:
BenchPrep
Club Z! In-Home Tutoring Services
College Board
C2 Education
Grockit
Knewton
Kaplan, Inc.
Manhattan Review
The Princeton Review
Revolution prep
StudyPoint
Sylvan Learning
Resource providersEdit
Most companies and educators that offer test preparation services also offer traditional (hard copy) and technology-based learning tools, such as books and other printed matter, software, websites, hand-held devices, or content for such devices. So do most test makers, publishers of self-help, instructional and educational materials, and makers of hardware and software.
Test makers
ACT, Inc. - publisher of the ACT
American Council on Education (ACE) - publisher of the GED test
Association of American Medical Colleges (AAMC) -...

...Instructor: MS. MARGARET BARNHART Campus Office: 214 Stickney Hall
Office Hours: See Schedule on last page Office Phone: 483-2127
E-mail: Margaret.Barnhart@dickinsonstate.edu
COURSE DESCRIPTION:
College Composition II is the advanced practice in college-level writing that derives from use of sources and applied rhetorical strategies. Students will develop their skill at writing effective essays that incorporate sources from college-level research. Students will improve their ability to argue logically and reasonably, broaden their use of library resources, and enhance their ability to think critically and analytically. This course will focus on the development of the argument mode as one of the major rhetorical modes of writing.
STUDENT LEARNING OUTCOMES:
I. Institutional Student Learning Outcomes
A. Critical Thinking Skills: Students will demonstrate critical thinking in a variety of contexts for life-
long learning. Composition 120 is designed to develop higher order and critical thinking skills by
requiring students to demonstrate successful application of research methods to the creation of
researched argument essays.
B. Communication and Technology: Students will demonstrate proficiency in communication skills in a
variety of forms including the effective use of current technologies and other information resources.
Composition 120 is designed to advance the basic academic success...

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