QUADRATIC EQUATIONS Quadratic equations Any equation of the form ax2 + bx + c=0‚ where a‚b‚c are real numbers‚ a 0 is a quadratic equation. For example‚ 2x2 -3x+1=0 is quadratic equation in variable x. SOLVING A QUADRATIC EQUATION 1.Factorisation A real number a is said to be a root of the quadratic equation ax2 + bx + c=0‚ if aa2+ba+c=0. If we can factorise ax2 + bx + c=0‚ a 0‚ into a product of linear factors‚ then the roots of the quadratic equation ax2 + bx + c=0 can be found
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the combustion of ethanol to provide energy for a small explosion. The chemical equation that describes the combustion of ethanol is shown below. (Note: Hover over the equations in this Introduction with your cursor to view enlarged formulas.) Equation 1: C2H6O+3O2→3H2O+2CO2+heat Ethanol: C2H6O Oxygen: 3O2 Water: H2O Carbon dioxide: CO2 The chemical equation states that ethanol (C2H6O)
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6 Systems Represented by Differential and Difference Equations Recommended Problems P6.1 Suppose that y 1(t) and y 2(t) both satisfy the homogeneous linear constant-coeffi cient differential equation (LCCDE) dy(t) + ay(t) = 0 dt Show that y 3 (t) = ayi(t) + 3y2 (t)‚ where a and # are any two constants‚ is also a solution to the homogeneous LCCDE. P6.2 In this problem‚ we consider the homogeneous LCCDE d 2yt + 3 dy(t) + 2y(t) = 0 dt 2 dt (P6.2-1) (a) Assume that a solution to
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Explaining Basic Accounting Concepts and Business Structures To understand accounting there are several key concepts and terms to be familiar with. One must know where Generally Accepted Accounting Principles came from as well as how businesses form. Sources of Generally Accepted Accounting Principles The Securities and Exchange Commission (SEC)‚ American Institute of Certified Public Accountants (AICPA)‚ Financial Accounting Standards Board (FASB)‚ and the Government Accounting Standards Board
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Maxwell’s EquationsMaxwell’s equations represent one of the most elegant and concise ways to state the fundamentals of electricity and magnetism. From them one can develop most of the working relationships in the field. Because of their concise statement‚ they embody a high level of mathematical sophistication and are therefore not generally introduced in an introductory treatment of the subject‚ except perhaps as summary relationships. These basic equations of electricity and magnetism can be used
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The private sector of the healthcare system have key concepts that can affect the advancement of some health services. The key concepts include; high demand of services ‚ mobility population‚ and enlargement of the healthcare field. The healthcare field consist of four major personal care services which are‚ prevention‚ treatment‚ prevention‚ and rehabilitation. The five most essential components that make up the healthcare system. The components are economic support‚ management‚ organizational
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Physical Optics UNIT -I Chapter-1 One Dimensional Wave Equation Introduction Wave equation in one dimension Chapter-2 Three Dimensional Wave Equation Total energy of a vibrating particle Superposition of two waves acting along the same line Graphical methods of adding disturbances of the same frequency Chapter – 1 Introduction: The branch of Physics based on the wave concept of light is called ‘Wave Optics’ or ‘Physical Optics’. Mathematical representation of
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Equations of State (EoS) Equations of State • From molecular considerations‚ identify which intermolecular interactions are significant (including estimating relative strengths of dipole moments‚ polarizability‚ etc.) • Apply simple rules for calculating P‚ v‚ or T ◦ Calculate P‚ v‚ or T from non-ideal equations of state (cubic equations‚ the virial equation‚ compressibility charts‚ and ThermoSolver) ◦ Apply the Rackett equation‚ the thermal expansion coefficient‚ and the isothermal compressibility
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FUNDAMENTALCONCEPTS OF ACCOUNTING Accounting is the language of business and it is used to communicate financial information. In order for that information to make sense‚ accounting is based on 12 fundamental concepts. These fundamental concepts then form the basis for all of the Generally Accepted Accounting Principles (GAAP). By using these concepts as the foundation‚ readers of financial statements and other accounting information do not need to make assumptions about what the numbers mean
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Assessment Task 5 THE KEY COMPONENTS OF A HEALTHY & SAFE HOME BASED ENVIRONMENT As a home based child minder it is vital to understand the key components of a healthy and safe home environment as these are set out as requirements of the registering body in the U.K - OFSTED. The Ofsted publication ‘Statutory Framework for the Early Years Foundation Stage’ clearly outlines the specific areas for The safeguarding and Welfare Requirements. These areas can be clearly defined under the following
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