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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1. The use of knowledge and understanding of mathematics in engineering context. Mathematics is science of pattern that engineers seek out whether found in numbers‚ space‚ science‚ computers‚ imaginary abstractions‚ or elsewhere. Knowledge and use of basic mathematics have always been an inherent and integral part of engineering. In our previous semester‚ basic mathematics was applied in almost every module. From stress analysis of simple machine components to numerical description of various
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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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CURTIN UNIVERSITY Department of Mathematics and Statistics Mathematics 103 MID-SEMESTER TEST Semester 1‚ 2013 INSTRUCTIONS: Answer all questions in the spaces provided. To obtain full marks for a question you must clearly show appropriate working. TIME ALLOWED: TOTAL MARKS: AIDS ALLOWED: 50 minutes. 50 1. 2. Scientific or Graphics Calculator. A4 Sheet of handwritten notes (both sides). Last Name: _______________________________________________________________ Given Name: _________
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GENDER GAP IN MATHEMATICS 1 The Gender Gap in Mathematics THE GENDER GAP IN MATHEMATICS 2 The Gender Gap in Mathematics A gender gap is defined by Dictionary.com as the discrepancy in opportunities‚ statuses‚ and attitudes between men and women (2012). According to author Xie of articles “Math Gender Gap Gone In Grade School‚ Persists In College‚” the gender gap in mathematics was substantially
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promote school improvement (Danielson‚ 2006). The Rice University Mathematics Leadership Institute (RUMLI) was an attempt to develop the great potential of teacher leaders to help advance systemic changes in their schools and districts. The primary purpose of RUMLI was to confront an inability to meet a large‚ persistent‚ and growing demand for guidance in mathematics on many high school campuses. To
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HOW TO SUCCEED IN MATHEMATICS. Step 1: Hard work trump’s natural talent. As in most everything ‚ the people who are most successful in mathematics are the one who work the hardest ‚ not those with “natural talent’’ in school‚ those who work hard get better grade in mathematics than the ‘’smart’’ students whom just coast .Most aspect of mathematics can only be learnt by hand practice. This holds true whether you want to develop your problem solving abilities or your computational skills. No one
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Student Number - T/11/14/0118 December 11‚ 2014 DMT 104 Practical Life ASSIGNMENT: According to Montessori‚ Practical life exercises are seen as the cornerstone of the Montessori Method. Why are Practical Life exercises so important to a child? Maria Montessori said that ‘an adult works to perfect the environment‚ but a child works to perfect himself’ (Maria Montessori‚ Absorbent Mind). She illustrated it by a boy on the beach. The child clings to the shovel. No one tells the child
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