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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Environment The highest form of pure thought is in mathematics. ~Plato Maria Montessori believed that human intelligence is no longer based on natural intelligence but on mathematical intelligence. Humans have moved beyond the innate survival instincts of early humans and moved toward an analytical awareness of the world. Math is more than math facts and computations. It deals with shape‚ space‚ patterns‚ symbols and the relationships found therein. Mathematics: Birth to Age Three Learning about patterns
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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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As students‚ we are taught the basics about mathematics. What the core properties of addition‚ subtraction‚ multiplication and division mean. How they work‚ and if we are lucky‚ we go into a little history of these methods. For those of us who have learned history‚ we learned that the basis for modern mathematics came from the Greeks and their writings. While this is correct‚ to truly understand the historical aspect of mathematics and its origins‚ one must study a time before the Greeks‚ when math
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MAN WHO CHANGED OUR WORLD When Muhammad was visited by the Archangel Gabriel in 610 C.E.‚ this event would set in motion an idea which would grow to have a dominating affect on nearly one-third of the world ’s future population‚ affecting how they live‚ marry‚ eat‚ and their proclivity for war. It is very rare that a single individual would put forth an idea so foundational to the very life of the world that grew in its and his wake‚ and an idea whose impact would be felt in world affairs for centuries
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Mathematics is the Sphere of Life All is Numbers‚ is still echoing from the walls of the White City‚ when once the great Pythagoras said it on an early sunny morning to his disciples. No great discoveries in history every made‚ without the intervention of this mystical ray we call Mathematics. Einstein in his general relativity theory‚ to prove that the path of a ray of light‚ in the presence of a gravitational field‚ is curved and never straight used intensely the non-Euclidean geometry
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What Makes A Smile‚ Smile? A wise man said a good smile could light up the entire room. So what is the secret behind a good smile? There are many factors that play a crucial role in structuring a “good” smile. First and foremost‚ one needs to be aware that “facial beauty is based on the principles of symmetry‚ proper alignment‚ and proportions of the face” (Davis‚ 299). The notion of symmetry‚ proper alignment‚ and proportions of the face also transitions into a smile and how it’s formed. Don’t
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Reflection paper Reflection papers enable you to express your reaction to a subject‚ an article‚ lecture‚ movie or‚ an experience such as a volunteer experience or an internship. They are generally personal. In fact‚ this is what makes it easier to write a reflection paper compared to other types of essays. However‚ it is important that they carry an academic tone‚ and be properly organized. The structure of this kind of essay is similar to the structure of general essay writing. It can be formatted
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He was a Greek mathematician and is probably best known for his work Elements. Since little is known about the personal life of Euclid‚ it is difficult to do a biography on him. His chief work‚ entitled Elements‚ is a comprehensive essay on mathematics. It includes 13 volumes that entail such subjects as plane geometry‚ dealing with the properties of flat surfaces and of planar figures‚ such as the triangle; proportion in general‚ a particular kind of relation between groups of numbers or quantities;
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