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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1) Calculation of Labour Utilization: No. of total employees = 22 No. of assistant supervisors = 4 Time used by assistant supervisors for production process = 100% -10% = 90% Therefore‚ the total available labour = 18 + 0.9*4 = 21.6 Maximum labour hours/ month = No. of days*labour hrs available/day*total available labour = 20*8*21.6 = 3456 hrs Actual labour hours used = 1531.7 hrs Capacity Utilization = Actual labour hours used/ Maximum labour hours available = (1531.7/3456) * 100 = 44
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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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Part 1. Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression. The order of operations is a rule that always applies to mathematical problems. It includes addition‚ subtraction‚ multiplication and division as well as grouping of numbers (such as in parentheses and powers). It gives a definite order of how to do a problem involving multiple operations
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Thesis Statement: The legalization of marijuana in the U.S. would drastically reduce crime in our cities and form a more productive society through its positive uses. II. The concentration on governmental spending to enforce marijuana laws. A. Examples of governmental spending. B. Solution to the governmental spending. C. Sources on spending. D. Quotes concerning over spending. E. In-depth explanation about spending. V. The basic information concerning marijuana
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Science in information DEPARTMENT : Mathematics and Informatics COURSE CODE : BIT…… SUPERVISOR : MR. SOLOMON MWANJELE DATE OF SUBMISSION : 5 JUNE 2014 A Research Proposal Submitted to the Department of Mathematics and Informatics for Partial Fulfilment of the Requirements for the Award of Bachelor of Science in Information Technology Date of Submission …………………………………………. ABSTRACT This document is a proposal for the “Online Notice Board System” as a major
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2012-The Year of Mathematics P.Bhattacharyya [pic] [pic] (GH Hardy ‚ Ramanujan and Littlewood) The great Indian mathematician Srinivasa Ramanujan was born on the 22nd of December 1887 in Erode‚ Tamilnadu. In a function held in the Centenary Hall of Madras University on the 26th of December 2011 marking the 125th birth anniversary of Srinivasa Ramanujan‚ the Prime Minister of India Dr. Manmohan Singh proclaimed: “Our
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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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A Modest Proposal Plenty of students that are struggling with their grades are intelligent and hard working. They get high grades on tests‚ class work‚ homework‚ etc.‚ but those low grades significantly hurt their overall grade. I know I have had my fair share of low grades in the past and I know how that feels. So I am here to make a modest proposal. Just eliminate grades completely. It is a win-win situation if you look at it: students will no longer have anxiety‚ they won’t tear themselves
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