GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV (Advanced Algebra‚ Trigonometry and Statistics) A. Functions 1. Demonstrate knowledge and skill related to functions in general 1.1 Define a function 1.2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered pairs * vertical line test * given equation 1.3 Illustrate the meaning of the functional notation f(x) 1.4 Determine the value of
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Zero is a number and a digit used in mathematics to represent that number in numerals. Zero is not a natural number but it is the smallest whole number. There are two important uses of zero. Firstly‚ in place value number system it is used as empty place indicator. Hence‚ in this number‚ 5102‚ the positions of 5 and one are correct just because of the inclusion of zero. Five is denoting a thousandth place value. Similarly if we omit zero from 5102 that is 512‚ then 5 denote a hundredth place value
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Zero in Mathematics Zero as a number is incredibly tricky to deal with. Though zero provides us with some useful mathematical tools‚ such as calculus‚ it presents some problems that if approached incorrectly‚ lead to a breakdown of mathematics as we know it. Adding‚ subtracting and multiplying by zero are straightforward. If c is a real number‚ c+0=c c-0=c c x 0=0 These facts are widely known and regarded to hold true in every situation. However‚ division by zero is a far more complicated
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MATHEMATICS OF INVESTMENT Simple Interest If you borrow a car from a car rental company or if you live in someone else’s house or apartment‚ you have to pay rent. Like paying rent for the use of a car or a house‚ you also have to pay rent for the money you borrowed. This is called interest. People like Marco earn by charging interest on loans. Banks earn most of their income from the interest that people pay for the amounts they borrow. How much interest one has to pay depends on three factors:
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Part I: Look up a roulette wheel diagram. The following sets are defined: A = the set of red numbers B = the set of black numbers C = the set of green numbers D = the set of even numbers E = the set of odd numbers F = {1‚2‚3‚4‚5‚6‚7‚8‚9‚10‚11‚12} Answers: AUB- {All BLACK and RED numbers} A∩D- {All numbers that are both RED and EVEN} B∩C- {NO numbers intersect between these two sets} CUE- {All ODD numbers and 00‚ 0} B∩F- {2‚4‚6‚10‚11} E∩F- {1‚3‚5‚7‚9‚11} Part II: The implementation
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[edit] Mathematics [edit] Pi as irrational Aryabhata worked on the approximation for Pi (π)‚ and may have come to the conclusion that π is irrational. In the second part of the Aryabhatiyam (gaṇitapāda 10)‚ he writes: caturadhikam śatamaṣṭaguṇam dvāṣaṣṭistathā sahasrāṇām ayutadvayaviṣkambhasyāsanno vṛttapariṇāhaḥ. "Add four to 100‚ multiply by eight‚ and then add 62‚000. By this rule the circumference of a circle with a diameter of 20‚000 can be approached."[12] This implies that the
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SOUTH AFRICAN MATHEMATICS OLYMPIAD Organised by the SOUTH AFRICAN MATHEMATICS FOUNDATION 2012 FIRST ROUND SENIOR SECTION: GRADES 10‚ 11 AND 12 19 March 2012 Time: 60 minutes Number of questions: 20 Instructions 1. This is a multiple choice question paper. Each question is followed by answers marked A‚ B‚ C‚ D and E. Only one of these is correct. 2. Scoring rules: 2.1. Each correct answer is worth 5 marks. 2.2. There is no penalty for an incorrect answer or any unanswered question. 3. You
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AP Calculus Name ____________________________ Period _____ Functions Defined by Integrals The graph below is‚ the derivative of. The graph consists of two semicircles and one line segment. Horizontal tangents are located at and and a vertical tangent is located at. 1. On what interval is increasing? Justify your answer. 2. For what values of x does have a relative minimum? Justify. 3. On what intervals is concave up? Justify 4. For what values of x is undefined? 5. Identify
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MATH 101 Mathematics Autobiography Assignment My name is Casey Nicole Layton‚ and I am nineteen years of age. I was born in Pittsburgh‚ Pennsylvania on January 20th‚ 1995. My parents used to call me an ice princess when I was little‚ and they always told me the same story when I’d ask how I had acquired that name. When they tried to bring me home from the hospital‚ we got stuck in the family car during a huge blizzard and the winter chill got to me‚ and they used this fairytale-like story to explain
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Surname Centre No. Candidate No. Paper Reference(s) Initial(s) Paper Reference Signature 6 6 6 3 6663/01 0 1 Examiner’s use only Edexcel GCE Core Mathematics C1 Advanced Subsidiary Monday 10 January 2011 – Morning Time: 1 hour 30 minutes Team Leader’s use only Question Leave Number Blank 1 2 3 4 Materials required for examination Mathematical Formulae (Pink) Items included with question papers Nil 5 6 7 8 9 Calculators may NOT be used in this examination
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