Quadratic Equations Equations Quadratic MODULE - I Algebra 2 Notes QUADRATIC EQUATIONS Recall that an algebraic equation of the second degree is written in general form as ax 2 + bx + c = 0‚ a ≠ 0 It is called a quadratic equation in x. The coefficient ‘a’ is the first or leading coefficient‚ ‘b’ is the second or middle coefficient and ‘c’ is the constant term (or third coefficient). For example‚ 7x² + 2x + 5 = 0‚ 5 1 x² + x + 1 = 0‚ 2 2 1 = 0‚ 2 x² + 7x = 0‚ are all
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- FILS Systems of Differential Equations and Models in Physics‚ Engineering and Economics Coordinating professor: Valeriu Prepelita Bucharest‚ July‚ 2010 Table of Contents 1. Importance and uses of differential equations 4 1.1. Creating useful models using differential equations 4 1.2. Real-life uses of differential equations 5 2. Introduction to differential equations 6 2.1. First order equations 6 2.1.1. Homogeneous equations 6 2.1.2. Exact equations 8 2.2. Second
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Physics Equations and Formulas By Steven Holzner Part of the Physics I For Dummies Cheat Sheet Physics is filled with equations and formulas that deal with angular motion‚ Carnot engines‚ fluids‚ forces‚ moments of inertia‚ linear motion‚ simple harmonic motion‚ thermodynamics‚ and work and energy. Here’s a list of some important physics formulas and equations to keep on hand — arranged by topic — so you don’t have to go searching to find them. Angular motion Equations of angular motion are
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Kinematics / Projectiles x =?vt ?v = (v + vo)/2 v = vo + at x = vot + ½at2 v2 = vo2 + 2ax y =?vt ?v ’ ½(vo + v) v = vo – gt y = vot – ½gt2 v2= vo2 – 2gy R = (v02/g)sin(2θ) Forces Fnet = ma Fgravity = mg Ffriction ≤ μsN Ffriction = μkN Circular Motion Fnet = mv2/r ac = v2/r v = 2πr/T f = 1/T T = 1/f Gravitation F = GM1M2/R2 g = GM/R2 T2/R3 = 4π2/GM = constant GM = Rv2 Energy W = Fdcosθ KE
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BERNOULLI AND ENERGY E Q U AT I O N S his chapter deals with two equations commonly used in fluid mechanics: the Bernoulli equation and the energy equation. The Bernoulli equation is concerned with the conservation of kinetic‚ potential‚ and flow energies of a fluid stream‚ and their conversion to each other in regions of flow where net viscous forces are negligible‚ and where other restrictive conditions apply. The energy equation is a statement of the conservation of energy principle and is
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Using Scientific Notation Geo Labs Gioppo 2012 © Introduction We use scientific notation to make it more convenient to write out very large‚ or very small numbers. It also helps us avoid making mistakes when writing the numbers‚ like having one too many (or too less) zeros. Think of it as a short hand system –that happens to be based on powers of ten. You’ve done this before in school‚ remember 101 = 10‚ 102 = 100 103 = 1000‚ etc.? This is the same idea‚ we just write it a little
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Differential Equations Second Order Differential Equations Introduction In the previous chapter we looked at first order differential equations. In this chapter we will move on to second order differential equations. Just as we did in the last chapter we will look at some special cases of second order differential equations that we can solve. Unlike the previous chapter however‚ we are going to have to be even more restrictive as to the kinds of differential equations that we’ll look at. This will
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The Vector equation of a plane To find the vector equation of a plane a point on the plane and two different direction vectors are required. The equation is defined as: where a is the point on the plane and b and c are the vectors. This equation can then be written as: The Cartesian equation of a plane The cartesian equation of the plane is easier to use. The equation is defined as: One of the advantages to writing the equation in cartesian form is that we can easily find the normal
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Band broadening theory (Van Deemter equation) It is well recognized now that column band broadening originates from three main sources: 1. multiple path of an analyte through the column packing; 2. molecular diffusion; 3. effect of mass transfer between phases. In 1956 J.J. Van Deemter introduced the equation which combined all three sources and represented them as the dependence of the theoretical plate height (HETP) on the mobile phase linear velocity. Originally‚ it was introduced for gas
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Accounting Equation Paper Student Course Date Instructor Accounting Equation Paper The accounting equation which we know as Assets equals to Liabilities plus Equity for a sole proprietorship and for a corporation we know it as Assets equals to liabilities plus stockholders & equity. Assets are company owned‚ liabilities are what company owes and the difference between the both of them is the owner’s equity‚ these three things are what the companies
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