CHENNAI INSTITUTE OF TECHNOLOGY Sarathy Nagar‚ Kundrathur‚ Pudupedu‚ Chennai– 600 069. Department of 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
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Chapter 4 Cost-Volume-Profit (CVP) Analysis Some things we know: The objective of every business is to make money (profit) for the owners Profit = Revenues – Expenses Revenues = Sales = Quantity sold x price per unit Expenses = the costs related to: the specific revenue (COGS) or the specific accounting period Matching Principle Role of Management is: Planning‚ control and performance measurement‚ and decision-making Decision-making relates to future
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choice questions (MCQ’s) Model paper Political Science for PGT exam for KVS DSSSB and other PGT Jobs » Numerical Ability Model paper for SSC Staff Selection Commission Exam Numerical Ability Model paper for SSC Staff Selection Commission Exam SSC Staff Selection Commission Exam : solved Question Paper SSC (Staff Selection Commission) Data Entry Operator exam for basic Arithmetic (Numerical Aptitude) Directions-(Q. 1-5) What should come in place of the questi0n—mark (?) in the following
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Managerial Economics Numerical Problems DEMAND AND ELASTICITY OF DEMAND Problem 1 The following are demand and supply equations of a pen manufacturer. Qd = 5‚00‚000 – 50‚ 000 P Qs = -1‚00‚000 + 1‚00‚000 P Find 1. At what average price‚ level of demand is equal to zero. 2. At what average price‚ level of supply is equal to zero. 3. Calculate the equilibrium price and quantity. Problem 2 Yashika Limited manufactures an automatic camera that currently sells at uS$90. Sales
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Numerical Facts about… …Rain forest population * 63‚000 square miles of Rainforests are being destroyed each year. * Already over half of the world’s tropical forests have been lost. * Every year approximately four billion tons of carbon accumulates in the air each year‚ about 30% of this comes directly from the continued burning of the rainforests. * More than anything else‚ rainforest is destroyed by peasant farmers. However‚ the responsibility for this lies largely with the
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ECON 4020 Spring 2008 Midterm exam 1 Name __________________________________________ This is a closed book exam. Exam is out of 100 points. Answer all the questions. Show all your calculations. Explain your answers in the essay type questions. You have 50 minutes to finish this exam. Academic Integrity: In cases of a violation of academic integrity it is the policy of the Department of Economics to impose the most severe penalties that are most consistent with University guidelines
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NATIONAL UNIVERSITY OF SINGAPORE Department of Mathematics 2014/2015 MA2213 Numerical Analysis I Semester II Homework Assignment 2 Due: 3 March 2015‚ 5pm 1. Find an approximation to the root of f (x) = tan(x/4) − 1 in the interval [3.14‚ 3.15]‚ with the relative error |pn − p|/|p| accurate to within 10−4 using the Bisection method. Tabulate all your workings as in the answer to tutorial 2 question 2. Present all values of an ‚ bn and pn in full precision‚ and values of f (pn ) and the relative
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CVP and Break-Even Analysis ACC/561 - Accounting Wk 5 August 29‚ 2011 Snap Fitness Snap Fitness‚ a fitness business based in Minnesota‚ offers franchise opportunities. The opportunity comes with a start-up fee ranging from $60‚000 to $184‚000. The following items are included in the start-up fee: 1. Franchise Fee 2. Grand Opening Marketing 3. Leasehold Improvements 4. Utility and Rent Deposits 5. Training Many people dream of owning a business as opposed to working for
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Numerieke integratie Numerieke methoden voor het oplossen van integralen SADBT Stuivenberg Koninklijk Instituut voor de Marine 30-11-2008 Samenvatting Een integraal is behalve exact ook numeriek op te lossen. Daarvoor bestaan een aantal methoden zoals de Trapeziumregel en de Simpsonregel‚ die elk weer varianten kennen‚ de Matlab commando’s QUAD en QUADL en daarnaast kunnen ook eigen integratieregels ontworpen worden. De keuze voor een methode hangt af van de gewenste nauwkeurigheid van de
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Schrödinger’s equation by numerical integration Abstract The aim of this program is to solve Schrödinger’s equation via a numerical method and to compare our results with the analytical result. The harmonic oscillator potential was taken as the potential in the equation. This was used because the solutions to this one dimensional system are well known‚ and an analytic solution is relatively easy to program. The idea is that once we have verified that our numerical approach works for this
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