Higher Level Mathematics Internal Assessment Type I Shadow Functions Contents Introduction: Functions/Polynomials 3 Part A: Quadratic Polynomials 4 Part B: Cubic Polynomials 12 Introduction: In mathematics‚ function is defined as a relationship‚ or more of a correspondence between the set of input values and the set of output values. Also‚ a rule is involved‚ or as it may be referred to‚ a ‘set of ordered pairs’ that assigns a unique output for each of the input. The
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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M07/5/MATME/SP2/ENG/TZ1/XX 22077304 mathematics staNDaRD level PaPeR 2 Tuesday 8 May 2007 (morning) 1 hour 30 minutes INSTRUcTIONS TO cANDIDATES not open this examination paper until instructed to do so. Do Answer all the questions. Unless otherwise stated in the question‚ all numerical answers must be given exactly or correct to three significant figures. 2207-7304 8 pages © IBO 2007 http://www
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1. Use the following matrices to perform the indicated matrix operations‚ if possible. 2. Use the following matrices to perform the indicated matrix operations‚ if possible. 3. Use the following matrices to perform the indicated matrix operations‚ if possible. 4. Use the matrices to find DE‚ if possible. 5. Use matrix A to find ‚ if possible. 6. Suppose the weights (in grams) and lengths (in centimeters) of three groups of laboratory animals
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level Paper 1 Candidate session number 0 0 Wednesday 4 May 2011 (afternoon) Examination code 2 1 hour 30 minutes 2 1 1 – 7 3 0 3 instructions to candidates Write your session number in the boxes above. not open this examination paper until instructed to do so. Do You are not permitted access to any calculator for this paper. Section A: answer all questions in the boxes provided. Section B: answer all questions on the answer sheets
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Answers Chapter 1 c i No x-intercept‚ y = 4 iii y Pre-test 1 a 2x + 1 1 3 c x+ x= x 2 2 f 3x − 7 b 5(x − 1) 1 (x + 4) 3 -5ab -21x -4x + 4 3 ii 0 y=4 d 2x − 3 e a a a a 7x 8y 3x + 3 4m b b b b 6a 7 6 b 7 12 9 a 3 b -2 c 1 10 a y = 2x + 1 b y = -x + 5 c 4 7 d 19 72 Exercise 1A f 21 20 2 3 4 5 4 e 7 c c c c -5x 2 15a 2 -10x + 2x 2 a (0‚ 4) d g c 10 ii
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does changing the temperature (°C) of glycerin affect the viscosity s -1 of glycerin (l)‚ when tested by dropping a marble from a constant height into the glycerin (l) and timed with a stopwatch until the marble hits the bottom? Design Independent Variable: The independent variable of this experiment is the temperature (°C) of the glycerin (l). Dependent Variable: The dependent variable of this experiment is the viscosity s -1 of the glycerin (l). Controlled Variable(s): The controlled variable(s)
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*Test subjects who are in a relationship will have to provide proof of them being in a relationship (calling or texting girlfriend/boyfriend or ex-girlfriend/ex-boyfriend verifying the relationship and the length of the relationship) Personal Survey 1. Have you been in a relationship during high school? 2. How long
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level Paper 1 Candidate session number 0 0 Thursday 9 May 2013 (afternoon) Examination code 2 1 hour 30 minutes 2 1 3 – 7 3 0 3 instructions to candidates Write your session number in the boxes above. not open this examination paper until instructed to do so. Do You are not permitted access to any calculator for this paper. Section A: answer all questions in the boxes provided. Section B: answer all questions in the answer booklet
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Maria Reyes 11.28.2012 Second Quarter Portfolio Mrs. Chentfant 1. Describe the things you have done to be proud of yourself. I think my ability to draw is a thing to be proud of because I know not many people have the aptitude to do it. I think it’s a great way to express myself and when people look at the things I’ve drawn‚ they tell me it’s real good or they ask me what’s going on in the picture. When I tell them‚ they say that now they understand it or if it doesn’t
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environments‚ that is from the sea and a fish farm (aquaculture). The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea‚ in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass | 426.8 | 470.2 | 503.4 | 557.3 | 564.7 | 575.4 | 579.8 | 624.7 | 669.9 | Year | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997
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