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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Master of Business Administration- MBA Semester 1 MB0041 – Financial and Management Accounting Q1. Accounting is one of the oldest‚ structured management information system. Give the meaning of accounting and book keeping? Explain the objectives of accounting? ANS. Meaning of Accounting- The systematic and comprehensive recording of financial transactions pertaining to a business. Accounting also refers to the process of summarizing‚ analyzing and reporting these transactions. The financial statements
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Chemical Reactions I. Purpose – The purpose of this lab was to observe different type of chemical reactions to write and balance chemical equations. II. Hypothesis: If you mix two chemicals together‚ then they will change color and/or bubble/fix. III. Procedure - Workstation 1: 1. Light the Bunsen Burner 2. Add 5 – 8 mL of HCL to a test tube that’s in the test tube rack 3. Drop a 2 – cm piece of Mg ribbon into the test tube 4. Record Observations 5. Clean Workstation
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Universal Studios Advisory Board Recommendations for the pursuit of the production of programming in partnership with WWE Recently‚ we at Universal Studios have been approached by Mattel Toys to begin working on the production of a children’s program with the intent of marketing its World Wrestling Entertainment (WWE) action figures to children for their economic gain. While there may also be the opportunity for monetary gain for Universal Studios in such production‚ there are several legal
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To solve a system of equations by addition or subtraction (or elimination)‚ you must eliminate one of the variables so that you could solve for one of the variables. First‚ in this equation‚ you must look for a way to eliminate a variable (line the equations up vertically and look to see if there are any numbers that are equal to each other). If there is lets say a –2y on the top equation and a –2y on the bottom equation you could subtract them and they would eliminate themselves by equaling zero
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Rational Equations Rational equations can be used to get a general idea about the rate at which a job can be completed. This can be really useful for business owners and other areas of daily life. Here is an example: Scenario: Sue can paint the garage in 4 hours and Joe has carpal tunnel so he is slower and can paint the same garage in 6 hours. How long (number of hours) will it take Sue and Joe to paint the garage if they work together? Solution: Sue can paint of the garage in 1 hour. Joe
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TEN EQUATIONS THAT CHANGED THE WIRLD The brightest minds in history have used mathematics to lay the foundation for how we measure and understand our universe. Time and time again‚ we have proved that it only takes one simple formula to alter the course of humanity. Here are ten equations that did just that. ISSAC NEWTON’S LAW OF UNIVERSAL GRAVITATION Newton’s law explains why planets move the way they do‚ and how gravity works‚ both on earth and throughout the universe. First published in the
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mathematics at a deeper level. Review of homogeneous equations The homogeneous constant coefficient linear equation an y (n) +· · ·+a1 y +a0 y = 0 has the characteristic polynomial an rn +· · ·+a1 r+a0 = 0. From the roots r1 ‚ . . . ‚ rn of the polynomial we can construct the solutions y1 ‚ . . . ‚ yn ‚ such as y1 = er1 x . We can also rewrite the equation in a weird-looking but useful way‚ using the symbol d D = dx . Examples: equation: y − 5y + 6y = 0. polynomial: r2 − 5r + 6 = 0. (factored):
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1.1. Equations and Graphs In each of problems 1 - 4‚ find (a) an ordered pair that is a solution of the equation‚ (b) the intercepts of the graph‚ and (c) determine if the graph has symmetry. 1. 2. 3. 4. 5. Once a car is driven off of the dealership lot‚ it loses a significant amount of its resale value. The graph below shows the depreciated value of a BMW versus that of a Chevy after years. Which of the following statements is the best conclusion about the data? a. You should
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Coordinate Systems: A point P is described by three coordinates ‚ in cartesian (x‚y‚z)‚ in cylindrical (r‚ ϕ ‚z)‚ and in spherical (r‚θ‚ ϕ )‚ as shown. A point is also defined by the intersection of three orthogonal surfaces‚ as shown. Cartesian Cylindrical Spherical Transformation from Cylinder to Cartesian Coordinates Transformation from Cartesian to Cylindrical: Transformation
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