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F?t_ S trr @) 1. The roots of the equation Lear blan 223-3*+82*5:0 ate zp z‚ artd z‚ Given that zr: 1 + 2i‚ firrd zrand z‚ (s) 72 =- t:Zl- II 4 2. f(x):3cos2x + x-2‚ (a) Show that the equation f(x) : -7t <x < 1T 0 has a root a in the interval 12‚31. (2) (b) Use linear interpolation once on the interval f2‚31to find an approximation to a. Give your answer to 3 decimal places. (3) (c) The equation f(x) : 0 has another root B in the interval [-1‚ 0]. Starting with this interval
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REVISION CHAPTER 1 (from Mid-Semester Exam Sem. II 09/10) 1 2 Given the function : y 2 sin 2x 3 a) Find the i) amplitude ii) period iii) phase shift. . b) Sketch the graph of the function over one period. [6] 2 Find the exact value of the expressions below. Rationalize the denominator where appropriate: a) cot 70 tan 650 csc( 250 ) sec( 110 ) 5 19 tan cos 6 6 4 23 cot sin 3 6 [5] b)
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Year 5 Progression in Mathematics. Available: http://webarchive.nationalarchives.gov.uk/20110809091832/teachingandlearningresources.org.uk/collection/4863. Last accessed 9th April 2013. DCFS. (2006). Year 6 Progression in Mathematics. Available: http://webarchive.nationalarchives.gov.uk/20110809091832/teachingandlearningresources.org.uk/collection/7990. Last accessed 9th April 2013. DCFS (2006) Primary Framework for literacy and mathematics London: QCA DfEE‚ (1999) Mathematics‚ the National Curriculum
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Primary groups are important not only from the individual point of view‚ but they are equally important from the viewpoint of society. The primary group is the birth-place of human nature. Primary groups help in the socialization of the individuals and maintain social control over them. The attitude of kindness‚ love‚ sympathy‚ mutual help and sacrifice which provide the cementing force to social structure is developed in the primary group. The primary group is a heaven for the individuals where
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David Hilbert David Hilbert was born in Koenigsberg‚ East Prussia‚ on January 23‚ 1862. He was a great leader and spokesperson of mathematics in the early 20th century‚ he was a Christian. Like most great German mathematicians‚ Hilbert was a product of Göttingen University‚ at that moment the world’s mathematical center‚ and he spent much of his working life there. His formative years were spent at Königsberg University where he developed fruitful scientific exchange with his fellow mathematicians
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Twitter * Google+ * Facebook * Pinterest HUMANS Top 10 Greatest Mathematicians M. R. SEXTON DECEMBER 7‚ 2010 Often called the language of the universe‚ mathematics is fundamental to our understanding of the world and‚ as such‚ is vitally important in a modern society such as ours. Everywhere you look it is likely mathematics has made an impact‚ from the faucet in your kitchen to the satellite that beams your television programs to your home. As such‚ great mathematicians are undoubtedly
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Chapter 3 Problem 60 Page 133 Dividend yield is the annual dividend per share a company pays divided by the current market price per share expressed as a percentage. A sample of 10 large companies provided the following dividend yield data (The Wall Street Journal‚ January 16‚ 2004). Company | Yield % | Company | Yield % | Altria Group | 5.0 | General Motors | 3.7 | American Express | 0.8 | JP Morgan Chase | 3.5 | Caterpillar | 1.8 | McDonald’s | 1.6 | Eastman Kodak | 1.9 | United Technology
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Question 1 Determine the slope for line 2x+12y-6=0 2x+12y=6 12y=-2x+6 y=-2x/12+6/12 y=-x/6+1/2 ∴m=-1/6 Find the slope of the required line‚ which is "m" (-1/6)("m" )=-1 (m)=6 Now‚ substitute m=6 into equation y=mx+c ‚i.e. y=6x+c. This line passed through point (2‚4). So‚ we substitute x=2‚y=4 into y=6x+c. 4=6(2)+c 4-12=c c=-8 ∴ The equation of the straight line that we are looking for is y=6x-8
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PLAN-CONSUMER ARITHMETIC Subject rationale Mathematics is an activity that is intrinsic to the development of the mind‚ civilization and the daily lives of each individual. It is the study of the properties of number and its relation to measurement‚ space‚ shape‚ statistics and probability. Mathematics is essentially an abstract subject‚ and algebra is in essence the strand of mathematics that presents this in its purest form. The study of mathematics enables one to become a creative and critical
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