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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Duality in Linear Programming 4 In the preceding chapter on sensitivity analysis‚ we saw that the shadow-price interpretation of the optimal simplex multipliers is a very useful concept. First‚ these shadow prices give us directly the marginal worth of an additional unit of any of the resources. Second‚ when an activity is ‘‘priced out’’ using these shadow prices‚ the opportunity cost of allocating resources to that activity relative to other activities is determined. Duality in linear programming
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DIFFERENTIAL EQUATIONS 2.1 Separable Variables 2.2 Exact Equations 2.2.1 Equations Reducible to Exact Form. 2.3 Linear Equations 4. Solutions by Substitutions 2.4.1 Homogenous Equations 2.4.2 Bernoulli’s Equation 2.5 Exercises In this chapter we describe procedures for solving 4 types of differential equations of first order‚ namely‚ the class of differential equations of first order where variables x and y can be separated‚ the class of exact equations (equation
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Linearity: A linear correlation coefficient factor was obtained between the peak area used and the absorbance Verses concentrations of lamivudine‚ zidovudine and nevirapine. The calibration curves were linear for concentrations between 15-150 µg/ml. The linearity of the calibration curves was validated by the values of the correlation coefficients (r2). The correlation coefficients were 0.999 for lamivudine‚ 0.999 zidovudine and 0.999 for nevirapine. The results of the linearity experiment are listed
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Uniform linear acceleration Introduction This topic is about particles which move in a straight line and accelerate uniformly. Problems can vary enormously‚ so you have to have your wits about you. Problems can be broken down into three main categories: Constant uniform acceleration Time-speed graphs Problems involving two particles Constant uniform acceleration Remember what the following variables represent: t = the time ; a = the acceleration ; u = the initial speed ; v = the final
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literary genre? Analyse with reference to the literary techniques used in two examples of New Journalism. Word Count - 2231 I suppose the most common sense point at which to start is by defining New Journalism‚ or Literary Journalism‚ as Eisenhuth and McDonald (2007‚ p. 38) say it is called at the “upper end of the spectrum.” The Collins Concise Dictionary (1999‚ p. 995) defines New Journalism as “a style of journalism‚ using techniques borrowed from fiction to portray a situation of event
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03/07/12 Quantitative research techniques used in Sociology Devon D.E. Francis Definition Quantitative research consists of those studies in which the data concerned can be analyzed in terms of numbers; Research can also be qualitative‚ that is‚ it can describe events‚ persons and so forth scientifically without the use of numerical data. Quantitative research is based more directly on its original plans and its results are more readily analyzed and interpreted. It is more open and responsive
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What techniques does Churchill employ in his rhetoric‚ making his speeches particularly inspiring and memorable‚ especially in the context of the Second World War? Winston Churchill is known for creating some of the greatest speeches in the world. His use of techniques such as rhetorical questions and repetition were used to manipulate his audience into being inspired and‚ ultimately‚ making his speech memorable. His use of rhetorical questions made his speeches memorable. In Churchill’s speech
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Humour is a commonly used technique in English literature; it is put into practice by speeches and various pieces of writing‚ from poetry to prose. Humour is used to convey an idea or underlying message or to simply amuse the reader. Mad as Hell is a multi-award winning Australian comedy news television program hosted by Shaun Micallef which has gained traction over the last few years. Mad as Hell is well known for being able to incorporate various humour techniques such as understatement‚ allusion
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Techniques used in Citizen Kane In film class this past week‚ we learned that there are many cinematic techniques used in films that contribute to the way a film is portrayed by an audience. We had the pleasure of watching a film directed by Orson Wells In 1941 called “Citizen Kane”. I am glad that this particular film was the film of choice to demonstrate some of these techniques. The movie “Citizen Kane” uses each cinematic technique in a way that is obvious to the viewer. I have chosen five
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