Extra Class In Mathematics Practice Paper #2 September 2‚ 2010 1. If h(x) = 1 + 3x and k(x) = x +2 ( CXC 1999 # 5 ) evaluate: a) hk (x) b) hk(4) c) (hk)-1 (x) 5 marks 2. Given that : f : x 3 – x and g: x x + 2 x – 5 a) Calculate g(2) b) State the value of x for which g(x) is NOT defined c) Derive an expression for gf(x) d) Calculate the value of f-1 (4)
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10 MAT 21 Dr. V. Lokesha 2012 Engineering Mathematics – II (10 MAT21) LECTURE NOTES (FOR II SEMESTER B E OF VTU) VTU-EDUSAT Programme-16 Dr. V. Lokesha Professor of Mathematics DEPARTMENT OF MATHEMATICS ACHARYA INSTITUTE OF TECNOLOGY Soldevanahalli‚ Bangalore – 90 Partial Differential Equation 1 10 MAT 21 Dr. V. Lokesha 2012 ENGNEERING MATHEMATICS – II Content CHAPTER UNIT IV PARTIAL DIFFERENTIAL EQUATIONS
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Chapter 11 Questions The Mesoamericans built on the achievements of the Olmecs and other predecessors and developed new forms of political organizations. The power of the religious and political leaders can be measured by the scale and impressive architecture at Teotihuacan or at the Mayan cities. Linguistic developments and even recreation in the form of a game played on ball courts were direct results of new political institutions. Each of these cities had complex social class systems‚ economic
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Chapter 11: Chapter Outline The following annotated chapter outline will help you review the major topics covered in this chapter. Instructions: Review the outline to recall events and their relationships as presented in the chapter. Return to skim any sections that seem unfamiliar. I. Opening Vignette A. By the start of the twenty-first century‚ Islam had acquired a significant presence in the United States . 1. more than 1‚200 mosques 2. about 8 million Muslims (some 2 million
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Explore the benefits of Medicare supplement plans Insurance is a murky topic that no one likes to enter and it is for good reason too considering the amount of court cases the industry has racked up over the years as increasingly frustrated customers take companies to court over the non-payment of dues. This is a liberty that is unfortunately not in the hands of people who cannot afford a lawyer. The problem with insurance in terms of healthcare is that the whole aspect is horrifyingly expensive
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Introduction I. Number Systems in Mathematics: A Number system (or system of numeration) is a writing system for expressing numbers‚ that is a mathematical notation for representing number of a given set‚ using graphemes or symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three‚ the decimal symbol for eleven‚ or a symbol for other numbers in different bases. Ideally‚ a number system will: * Represent a
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Chapter 2: THE NATURE OF MATHEMATICS Mathematics relies on both logic and creativity‚ and it is pursued both for a variety of practical purposes and for its intrinsic interest. For some people‚ and not only professional mathematicians‚ the essence of mathematics lies in its beauty and its intellectual challenge. For others‚ including many scientists and engineers‚ the chief value of mathematics is how it applies to their own work. Because mathematics plays such a central role in modern culture‚
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MAT/115 – Basic Mathematics Cumulative Test: Chapters 3 and 4 01) Find the least common multiple of 12 and 18. Multiples for 12 are 24‚ 36‚ 48‚ 60‚ Multiples for 18 are 36‚ 54‚ 72‚ 90 Answer: 36 02) Find the least common multiple of 3‚ 6 and 9. Multiples for 3 are 6‚ 9‚ 12‚ 15‚ 18‚ 21‚ 24‚ 27‚ 30‚ 33‚ 36 Multiples for 6 are 12‚ 24‚ 30‚ 36‚ 42‚ 48‚ 54‚ 60‚ 66‚ 72 Multiples for 9 are 18‚ 27‚ 36‚ 45‚ 54‚ 63‚ 72‚ 81‚ 90‚ 99‚ 108 Answer: 36 03) Add. Write the answer in lowest
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Abstract: This paper discusses the mathematics of the Native Americans inhabiting the vast lands north of present-day Mexico. The mathematical accomplishments of the Central and South American indigenous people are not a focus. The development of the number words‚ the recurrence of certain numerical themes in the art and architecture are noted. The paper presents the numbers and math as required to keep the records of cyclical time and possessions amassed in the cycle. Also discussed is the symbolic
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w w w e tr .X m eP e ap UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level .c rs om ADDITIONAL MATHEMATICS 4037/01 Paper 1 May/June 2004 2 hours Additional Materials: Answer Booklet/Paper Graph paper (3 sheets) Mathematical tables READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet‚ follow the instructions on the front cover of the Booklet. Write your Centre number‚ candidate number and name on all the work you
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