Numerical Methods Questions 1 f(x) = x3 – 2x – 5 a) Show that there is a root β of f(x) = 0 in the interval [2‚3]. The root β is to be estimated using the iterative formula ‚2 5 2 0 2 1 1 = =++ x x x n n b) Calculate the values of x1‚ x2‚ x3‚ and x4‚ giving your answers to 4 sig fig. c) Prove that‚ to 5 significant figures‚ β is 2.0946 2 Use the iterative formula n n n cox x x − =+ 1 1 With x1 = 0.5 to find the limit of the sequence x1‚ x2‚ x3
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RESEARCH METHODOLOGY Research Methodology is a way to systematically solve the research problem‚ it not only takes the research methods but also consider the logic behind the methods. The study of Research Methodology for developing the project gives us the necessary training in gathering materials and arranging them‚ participation in the field work when required‚ and also provides training in techniques for the collection of data appropriate to particular problems. primary objectives 1) -To
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Mathematics Subject Name: Numerical Methods Subject Code: MA1251 Unit I 1) Write the Descartes rule of signs Sol: 1) An equation f ( x) = 0 cannot have more number of positive roots than there are changes of sign in the terms of the polynomial f ( x) . 2)An equation f ( x) = 0 cannot have more number of positive roots than there are changes of sign in the terms of the polynomial f ( x) . 2) What is the order of convergence of Newton Raphson method if the multiplicity of the root is
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Methods of production Production methods fall into three main categories; however‚ all production methods can be assisted with CAM and CAD equipment (Computer Aided Manufacture and Computer Aided Design – respectively). 1. Job Production and Prototype Production Job Production is used when a product is produced with the labor of one or few workers and is scarcely used for bulk and large scale production. It is mainly used for one-off products or prototypes‚ as it is inefficient; however‚ quality
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Science By DeMarcus Thomas September 11‚ 2012 What is the scientific method? The scientific method is a method for problem solving that has been used for generations. It is the best method for winnowing the truth from lies and delusion (Collins‚ 2012). The scientific method has been used for ages to solve the mysteries of the universe. Though we are not aware of it we use this method more often than we think. Consider this seemingly simple scenario. You arrive home late at night. You walk
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This is a list of methods of capital punishment. Method Description Animals Crushing by elephant.[1] Devouring by animals‚ as in damnatio ad bestias (i.e.‚ as in the cliché‚ "being thrown to the lions"). Stings from scorpions and bites by snakes‚ spiders‚ etc. (e.g. the "Snake pit" of Germanic legend)[dubious – discuss] Tearing apart by horses (e.g.‚ in medieval Europe and Imperial China‚ with four horses; or "quartering"‚ with four horses‚ as in The Song of Roland and Child Owlet). Trampling
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Census Method All items in any field of inquiry constitute a ‘ Universe ’ or ‘ Population.’ A complete enumeration of all items in the population is known as a census inquiry. It can be presumed that in such an enquiry‚ when all items are covered‚ no element of chance is left and highest accuracy is obtained. But in practice this may not be true. Even the slightest element of bias in such an inquiry will get larger and larger as the number of observation increases
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.(i=1‚2‚3‚4: j=A‚B‚C) Cij= Shipping cost per container from distribution center I to customer j Subject to‚ ∑XiA=600 ∑XiB=500 ∑XiC=500 ∑X1j=450 ∑X2j=600 ∑X3j=350 Xij= integer The VAM penalty cost is given by‚ The initial allocation in VAM method is made in the row or column that has the highest penalty cost. In following table‚ column C has highest penalty cost i.e. $350. and we choose cell 4C. Iteration 1) A B C Hongkong Singapore Taipei Supply Penalty 1 LA 300 210 340 450 90
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THE SCIENTIFIC METHOD A ‘Hypotheses‚’ said Medawar in 1964‚ ‘are imaginative and inspirational in character’; they are ‘adventures of the mind’. He was arguing in favour of the position taken by Karl Popper in The Logic of Scientific Discovery (1972‚ 3rd edition) that the nature of scientific method is hypothetico-deductive and not‚ as is generally believed‚ inductive. B It is essential that you‚ as an intending researcher‚ understand the difference between these two interpretations of the
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Methods of Inquiry To attain a certain solution to a particular problem‚ investigation plays an important role. Investigations that are in any method should be more or less factual so that studying philosophy will bloom to a quality answer that will resolved the curiosity of man. The methods of inquiry ranks number one of the concern in investigation of such case. That is why‚ chapter 3 of this book focuses in this topic. As an initial step‚ it is required to know the basic concept of methods
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