EUROPEAN SCHOOL Mathematics Higher Level Portfolio Type 1 SHADOW FUNCTIONS Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Supervisor: Avtandil Gagnidze Session Year: 2013 May Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function
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h b Volume of sphere = 4 r 3 3 Surface area of sphere = 4 r 2 r Volume of cone = 1 r 2h 3 Curved surface area of cone = rl l r h In any triangle ABC b A c a sin A b sin B C a B The Quadratic Equation The solutions of ax 2 + bx + c = 0 where a 0‚ are given by x= −b ± (b 2 − 4ac) 2a Sine Rule c sin C Cosine
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Understanding What You Read – Week 3 Week 3- Chapter 5- Understanding Your Customer 1. Identify demographic trends that are occurring in the United States‚ related to (a) number of single-person households‚ (b) median age for marriage‚ (c) birthrate‚ (d) U.S. population growth‚ and (e) number of male homemakers. Single person households are showing the greatest increase in numbers and that trend is projected to continue. Birthrate has remained relatively stable in the United States since
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ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit. Suggested grade boundaries for this paper: A* A B C D E 74 66 58 50 42 34 1. Find . (4) January 2008 2. Find ‚ giving each term in its simplest form. (4) January 2009 3. Expand and simplify (7 + 2)(7 – 2). (2) January 2009 4. y = 5x3 − + 2x − 3. (a)
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Write your name here Surname Other names Centre Number Candidate Number Edexcel GCSE Mathematics A Paper 2 (Calculator) Foundation Tier Thursday 8 November 2012 – Afternoon Time: 1 hour 45 minutes Paper Reference 1MA0/2F You must have: Ruler graduated in centimetres and millimetres‚ protractor‚ pair of compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Total Marks Instructions Use black ink or ball-point pen. Fill in the boxes at the
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Associate Level Material Appendix B Roles and Behaviors |Description of Company | | | |Write a paragraph describing your company. | | | | |
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maximum possible revenue? (c) What is the maximum revenue the agent can obtain? (d) What restrictions‚ if any‚ need to be placed on the domain of n? | | | 3. | The graphs shown are graphs of: I : y = f(x)II : y = f /(x)III : y = f //(x)By studying the graphs‚ answerthe following questions. (a) Describe the behaviour ofy = f(x) for x where (i) x < 0 (ii) 0 < x < 6 (iii) x > 6 (b) Find the values of thex – intercepts of y = f(x). (c) Determine the expression forthe
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defined as the following: A medium in which communication occurs. However‚ there may be many misperceptions that mathematics is a language. One may argue that one can utilize numbers to represent certain letters in the alphabet‚ for example‚ a= 1‚ b = 2‚ c = 3. It is just using numbers‚ to represent a language. However‚ this is not mathematics. Numbers themselves can be a language‚ however numbers are just symbols. Numbers are not mathematics. Do we use mathematics to communicate? No. This is because mathematics
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A Guide to Earnings and Financial Reporting Quality A Guide to Earnings and Financial Reporting Quality Quality of reported financial information is a critical element in evaluating financial statement data. The higher the quality of financial reporting‚ the more useful the information is for business decision making. 5-2 A Guide to Earnings and Financial Reporting Quality There are a number of areas on the earnings statement that provide management with opportunities for influencing the
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resource has not been fully used. In other words‚ the slack value associated with that resource constraint is positive. We can conclude that the shadow price associated with that constraint: A. will have a positive value. B. will have a negative value. C. will have a value of zero. D. could have positive‚ negative‚ or zero value. D . Use the following information for problems 2 – 5: Aunt Anastasia operates a small business; she produces seasonal ceramic objects to sell to tourists
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