5x^3-11x^2-2x+8 82. Rectangular Garden A rectangular garden has a perimeter of 500 feet. (a) If one side of the garden has length x‚ then write a polynomial expression that gives its area. Multiply this expression completely. (b) Evaluate the expression for x = 50 and interpret your answer. 5.4 74. Find a polynomial that represents the following. (a) The outside surface area given by the six sides of the cube (b) The volume of the cube (2x + 1)( 2x + 1)( 2x + 1)
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BINOMIAL THEOREM : AKSHAY MISHRA XI A ‚ K V 2 ‚ GWALIOR In elementary algebra‚ the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem‚ it is possible to expand the power (x + y)n into a sum involving terms of the form axbyc‚ where the coefficient of each term is a positive integer‚ and the sum of the exponents of x and y in each term is n. For example: The coefficients appearing in the binomial expansion are known as binomial coefficients.
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Rene Descartes Rene Descartes was a brilliant man. His works on philosophy‚ physics and mathematics are still heavily influenced much to all of these studies today in our modern world. Descartes was born in March 31‚ 1596 in La Haye‚ France; he was named after one of his godfathers‚ Rene Bruchard des Funtaines. Descartes parents were Joachim and Jeanne Descartes‚ he also had one brother and one sister and two half siblings. Growing up Descartes had health issues “infirmity of the lungs‚ (Rene
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Modeling nature Task 1 Theory construction and Model-building skills (chapter 1-3) Scientific research is a process that is designed to extend our understandings and to determine if they are correct or useful. Science strives to operate according to a more rigorous set of rules. Realism: reality exists independent of any human presence‚ there is an external world comprised of objects that follow a myriad of natural facts and laws. --> mirror world. It is possible to make claims regarding
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General Certificate of Education (International) Advanced Level and Advanced Subsidiary Level Syllabus MATHEMATICS 9709 For examination in June and November 2009 CIE provides syllabuses‚ past papers‚ examiner reports‚ mark schemes and more on the internet. We also offer teacher professional development for many syllabuses. Learn more at www.cie.org.uk MATHEMATICS GCE Advanced Subsidiary and GCE Advanced Level 9709 CONTENTS Page INTRODUCTION 1 AIMS 2 ASSESSMENT
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El Camino College - Compton Center Intermediate Algebra - Mathematics 73 - Hybrid Spring 2010 Course Syllabus MISSION STATEMENT El Camino College offers quality‚ comprehensive educational programs and services to ensure the educational success of the students from our diverse community. Professor: Dr Jose M Villalobos‚ Ph.D. Class: Math 73 Credit Hours: 5 Section: 9647 Course Dates: February 13‚ 2010 - June 11‚ 2009 Date/Time: Saturday 12:30p.m – 2:50p.m Location:
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to the buoyancy term under Boussinesq approximation. The momentum‚ energy and diffusion equations are coupled equations. In order to obtain a better insight into this complex problem‚ we make use of Galerkin finite element analysis with quadratic polynomial approximations. The behaviour of velocity‚ temperature and concentration is analysed at different axial positions. Key words: Heat Transfer‚ Mass Transfer‚Porous medium‚Radiation effect 1.Introduction. Transport phenomena involving the combined
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probability of being very powerful‚ especially for that era (Bellis). Charles Babbage developed the analytical engine project after an earlier computing project‚ the difference engine‚ which he started in 1822. The difference engine could solve polynomial equations using a numerical method called the "method of differences" (Bellis). However‚ the analytical engine was the first general computational device‚ with the ability to solve different types of equations. Being mechanical rather than electrical
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Convex Optimization Convex Optimization Stephen Boyd Department of Electrical Engineering Stanford University Lieven Vandenberghe Electrical Engineering Department University of California‚ Los Angeles cambridge university press Cambridge‚ New York‚ Melbourne‚ Madrid‚ Cape Town‚ Singapore‚ S˜o Paolo‚ Delhi a Cambridge University Press The Edinburgh Building‚ Cambridge‚ CB2 8RU‚ UK Published in the United States of America by Cambridge University Press‚ New York http://www.cambridge
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Assignment No. 1 QUANTITATIVE TECHNIQUES (5564) Executive MBA/MPA (Col) ZAHID NAZIR Roll.No. AB523655 Semester:Autumn 2008 Page 2 of 29 Question 1 a). Explain the use of Quantitative Techniques in Business and Management? Marks: 10 b). What are limitations of Statistics? Marks: 10 Page 2 of 29 Page 3 of 29 a). QUATITATIVE TECHNIQUES Quantitative techniques refers to the group of statistical and operations research techniques. All these techniques require preliminary knowledge
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