Two square roots of the unity a) 1‚-1 b)1‚ω c) 1‚-ω d) ω‚ ω2 3) The third proportion of the x2 and y2 is a) y2/x2 b) x2/y2 c)x2y2 d)y2x2 4) a fraction in which the degree of numerator is less than the degree of denominator is called a) equation b) improper c) proper d) identity 5) A histogram is a set of adjustment a) Square b) rectangular c)circle d)a‚b both 6) The different ways of describing a set a) 1 b) 2 c) 3 d) 4 7) 3π/4 radians= a) 1150 b)1350 c)1500 d)300 8)
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© Government of Tamilnadu First Edition-2005 Revised Edition 2007 Author-cum-Chairperson Dr. K. SRINIVASAN Reader in Mathematics Presidency College (Autonomous) Chennai - 600 005. Authors Dr. E. CHANDRASEKARAN Dr. C. SELVARAJ Selection Grade Lecturer in Mathematics Presidency College (Autonomous) Chennai - 600 005 Lecturer in Mathematics L.N. Govt. College‚ Ponneri-601 204 Dr. THOMAS ROSY Senior Lecturer in Mathematics Madras Christian College‚ Chennai - 600 059 Dr
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Answers: New GCSE Maths Edexcel Linear Homework Book Higher 2 1 Number: Using a calculator 1.1 Basic calculations and using brackets HOMEWORK 1A 1 a 195 b 300 2 a 28.08 b 48.18 3 a 24.5 b 38.3 c 326.9 d 11.3 4 14 days 5 Alfie 4.67; Becky 5.46; Chloe 6.14; Daniel 3.77 Daniel is correct. 6 75 Euros is approximately £65.79; $100 is about £67.11‚ so $100 is worth more 7 a 15.26 b 194.88 8 a 1.7 b 4.8 9 a 533.05 b 5.221096 1.2 Adding and subtracting fractions with a calculator
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physicists‚ engineers‚ statisticians‚ operations research analystsand economists use mathematical models most extensively. Mathematical models can take many forms‚ including but not limited to dynamical systems‚ statistical models‚ differential equations‚ or game theoretic models. These and other types of models can overlap‚ with a given model involving a variety of abstract structures. Examples of mathematical models Population Growth. A simple (though approximate) model of population growth
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properties corresponding to the idea of absolute rest. They suggest rather that‚ as has already been shown to the first order of small quantities‚ the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good.1 We will raise this conjecture (the purport of which will hereafter be called the “Principle of Relativity”) to the status of a postulate‚ and also introduce another postulate‚ which is only apparently irreconcilable with
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no longer a parabola. Now we will look at how the (b) factor changes the parabola‚ below is the origional graph from the top of the paper except the red line represents the same parabola with a (b) added onto it. The original equation was Y=x^2(blue line) and the new equation is Y=x^2+x(red line). The change is moving the vertex of the parabola left ½ and down ¼ but the shape of the parabola it’s self is unchanged. Here are some other examples of changing (b) in a parabola with a steady (a) As seen
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Department of Electronics and Communication Engineering AU College of Engineering (Autonomous) Scheme of Instruction‚ Examination and Syllabus B.E. (Electronics and Communication) – 4 Year Degree Course Common Scheme of Instruction & Examination I/IV B.E./B.Tech (Four Year Course) – Semester System (with effect from 2006 – 2007 admitted batch onwards) First Year I & II Semesters Code No. ENG 1001 ENG 1002 ENG 1003 ENG 1004 ENG 1005 ENG 1006 ENG 1007 ENG 1008 ENG 1009 ENG 1010 ENG 1011 ENG 1012
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was that you can make complex equations look simpler by making substitutions. Take the equation: 2tan2-3tan-2=0 To make this look simpler you can substitute u for tan to get: 2u2-3u-2=0 From there you can us the quadratic formula to get: u= -0.5‚ 2 With this you can now say tan=2 and tan=-0.5 which makes solving for much easier. In this case substitutions made solving much easier and less chaotic looking. The next thing we learned was to rewrite equations in a way that suits your purpose
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Quadratic Equation Lesson No. of Hours Learning Competency Activity Lesson 1: Illustrations of Quadratic Equations 1 Illustrate quadratic equations Activity 1 Lesson 2.1: Solving Quadratic Equations by Extracting Square Roots 1 Solve quadratic equations by extracting square roots Activity 2 Lesson 2.2: Solving Quadratic Equations by Factoring 1 Solve quadratic equations by factoring Lesson 2.3: Solving Quadratic Equations by Completing the Square 1 Solve quadratic equations by completing
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This course covers topics of algebra including linear functions‚ equations‚ inequalities‚ systems of equations in two variables‚ polynomial functions‚ quadratic equations‚ and rational and radical equations. * * COURSE LEARNING OBJECTIVES: 1. Apply basic operations to solve real number problems. 2. Solve linear equations. 3. Analyze problems involving polynomials. 4. Analyze rational expressions. 5. Solve quadratic equations. 6. Discuss how course content applies in personal and professional
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