Revision Exam-style Questions For Studies Exam 1. (a) Express f (x) = x2 – 6x + 14 in the form f (x) = (x – h)2 + k‚ where h and k are to be determined. (b) Hence‚ or otherwise‚ write down the coordinates of the vertex of the parabola with equation y – x2 – 6x + 14. (Total 4 marks) 2. The diagram shows the graph of the function y = ax2 + bx + c. Complete the table below to show whether each expression is positive‚ negative or zero. Expression|positive|negative|zero| a|||| c|||| b2 – 4ac||||
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ASSIGNMENT 1 1. For a given arithmetic sequence‚ the sum of the third term and the sixth term is 86. The eleventh term is 56. Find the a) first term and the common difference. (6m) b) nth term. (2m) 2. A couple estimates that the expense of caring for their baby will increase by RM1.80 from the previous month’s expenses. The cost for the first month when the baby was born was RM22. What a) were the expenses for the 10th month and the 15th month after the baby was born? (4m) b) were the
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Progression of Morality Throughout the centuries‚ morality has guided the beliefs and actions of families as well as societies. It has brought them together but it has also torn them apart. These beliefs continue to be a dominant force throughout many societies‚ affecting everything from what people wear to how they behave. The progression of morality has been a powerful basis for societies. The spectrum of greater access to the ideas and customs of different cultures‚ because of technology
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I am prepared for this experience because I am ready and excited to enter an environment where my passion can be considered a career‚ and I am ready to be around other teenagers who share this
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An Economist ’s Perspective He was sent to Oxford by the age of twelve‚ to study law as his father did. In 1748 Jeremy Bentham was born to a London attorney and his wife. However‚ Bentham ’s attention turned to law reform while at college and was opposed to practicing law (The Concise Encyclopedia of Economics‚ 2008). His interests became devoted to studying and writing‚ many times spending several hours a day writing. Even though Bentham wrote a great deal in his lifespan‚ several of his works
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Thomas Malthus Principles of Population Today‚ there is both agreement and disagreement of Thomas Malthus’ essay on the principles of population. Malthus stated that population grows exponentially or at “geometric rate” and food production grows at arithmetic rate‚ or linearly. Geometric rate grows in a series of numbers (2‚4‚8‚16‚32…etc.)‚ which shows that children will grow up and each have their own children‚ and those children will have their own children. Eventually the base numbers of children
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Diploma Programme Mathematics SL formula booklet For use during the course and in the examinations First examinations 2014 Published March 2012 © International Baccalaureate Organization 2012 Mathematical studies SL: Formula booklet 1 5045 Contents Prior learning Topics Topic 1—Algebra Topic 2—Functions and equations Topic 3—Circular functions and trigonometry Topic 4—Vectors Topic 5—Statistics and probability Topic 6—Calculus 2 3 3 4 4 5 5 6 Mathematics SL formula booklet
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A population of 80 longhorn cattle was introduced onto an island on 1 October 1960. There was no subsequent migration of longhorn cattle to or from the island. Let Pn denote the size of the longhorn cattle population on the island on 1 October n years after 1960. (a) In this part assume that‚ for each integer n ≥ 0‚ the number of births and deaths in the year beginning 1 October n years after 1960 are 1.52Pn and 1.24Pn‚ respectively. (i) Find a recurrence system satisfied by Pn. (ii) State
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analyze the value of developing an electronic career portfolio. The learning goals are to: 1. Familiarize myself with the concept of creating an electronic portfolio‚ 2. Apply and understand research methods‚ design‚ data analysis‚ and interpretations. 3. Communicate effectively in a variety of formats 4. Use of critical thinking skills 5. Demonstrate the use of technology in creating a portfolio 6. Learn how to create my own well develop electronic career portfolio. Analysis In today’s 21st century
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Is Overpopulation a Serious Problem? This question seems to be question that is asked quite frequently lately. In the last two centuries‚ population has skyrocketed. In 1800 the world population was only at 1 billion‚ and today it’s estimated that the world population exceeds six billion people. With overpopulation‚ many problems have arisen. Some believe that overpopulation is the reason for world hunger‚ global population will reach crisis proportions by 2050‚ and some believe that overpopulation
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