accounting relates to an advanced stage. Accounting includes recording‚ classifying‚ summarizing‚ analyzing and interpreting the financial data. Define accounting equation approach for book-keeping In order to keep books in balance‚ you need to carefully track all these different items in the right place. The accounting equation for balancing the books is Assets = Liabilities + Equity In other words everything your business owns is balanced
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STABILITY OF SOLUTIONS OF NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS. CERTIFICATION This is to certify‚ that this project work title “STABILITY OF SOLUTIONS OF NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS” submitted to the Department of Mathematics‚ College of Natural and Applied Science‚ Michael Okpara University of agriculture Umudike. For the award of Bachelor of Science (B.Sc.) degree in Mathematics is research work carried out by Ukazim Great Kelechi with registration number MOUAU/08/12869
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Solving systems of linear equations 7.1 Introduction Let a system of linear equations of the following form: a11 x1 a21 x1 a12 x2 a22 x2 ai1x1 ai 2 x2 am1 x1 am2 x2 a1n xn a2 n x n ain xn amn xn b1 b2 bi bm (7.1) be considered‚ where x1 ‚ x2 ‚ ... ‚ xn are the unknowns‚ elements aik (i = 1‚ 2‚ ...‚ m; k = 1‚ 2‚ ...‚ n) are the coefficients‚ bi (i = 1‚ 2‚ ...‚ m) are the free terms
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assumed‚ making the order with respect to OH^- one. With the order of both crystal violet and hydroxide found to be first order‚ with an overall reaction order of two‚ the rate law for the reaction of crystal violet with hydroxide is found to be equation 9‚ Rate=k[C〖V]〗^1
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Algebra I Chapter 5 Study Guide Writing Linear Equations Name ________________ Due: Tuesday‚ January 17 (Exam week) 100 points Writing Linear Equations in a Variety of Forms Using given information about a __________‚ you can write an ________________of the line in _____________ different forms. Complete the chart: Form (Name) Equation • • Important information The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line
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2: Polynomials Top Concepts: 1. The graph of a polynomial p(x) of degree n can intersects or touch the x axis at atmost n points. 2. 3. 4. A polynomial of degree n has at most n distinct real zeroes. The zero of the polynomial p(x) satisfies the equation p(x) = 0. For any linear polynomial ax + b‚ zero of the polynomial will be given by the expression (-b/a). 5. The number of real zeros of the polynomial is the number of times its graph touches or intersects x axis. 6. 7. 8. 9. 10. A polynomial p(x)
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The Form of Structural Equation Models Structural equation modeling incorporates several different approaches or frameworks to representing these models. In one well-known framework (popularized by Karl Jöreskog‚ University of Uppsala)‚ the general structural equation model can be represented by three matrix equations: However‚ in applied work‚ structural equation models are most often represented graphically. Here is a graphical example of a structural equation model: For more information
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Application of linear algebraic equation for chemical engineering problem The chemical engineering system models often outcome of set of linear algebraic equations. These problems may range in complexity from a set of two simultaneous linear algebraic equations to a set involving 1000 or even 10‚000 equations. The solution of a set two or three linear algebraic equations can be obtained easily by the algebraic elimination of variables or by the application of cramer’s rule. However for systems involving
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Rule Introduction Cramer’s rule is a method for solving linear simultaneous equations. It makes use of determinants and so a knowledge of these is necessary before proceeding. 1. Cramer’s Rule - two equations If we are given a pair of simultaneous equations a1 x + b1 y = d1 a2 x + b2 y = d2 then x‚ and y can be found from d1 b1 d2 b2 a1 b1 a2 b2 a1 d1 a2 d2 a1 b 1 a2 b 2 x= y= Example Solve the equations 3x + 4y = −14 −2x − 3y = 11 Solution Using Cramer’s rule we can write the solution
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All Four‚ One - Linear Functions In the last activity‚ we talked about how situations‚ rules‚ x-y tables‚ and graphs all relate to each other and connect. Now‚ we’ll look at how situations‚ rules‚ x-y tables‚ and graphs relate and connect to linear functions. A linear function is a function that‚ if the points from the function were to be put on a graph and connected‚ it would form a straight line. They are used to show a constant rate of change between two variables. A very simple example
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