M10/5/MATHL/HP2/ENG/TZ1/XX 22107204 mathematics higher level PaPer 2 Thursday 6 May 2010 (morning) 2 hours iNsTrucTioNs To cANdidATEs Write your session number in the boxes above. not open this examination paper until instructed to do so. do graphic display calculator is required for this paper. A section A: answer all of section A in the spaces provided. section B: answer all of section B on the answer sheets provided. Write your session number on each answer sheet‚ and attach
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1. (a) Let A be the set of all 2 × 2 matrices of the form ‚ where a and b are real numbers‚ and a2 + b2 0. Prove that A is a group under matrix multiplication. (10) (b) Show that the set: M = forms a group under matrix multiplication. (5) (c) Can M have a subgroup of order 3? Justify your answer. (2) (Total 17 marks) 3. (a) Define an isomorphism between two groups (G‚ o) and (H‚ •). (2) (b) Let e and e be the identity elements of groups G and H respectively. Let f be
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Population In Transistion Word population growth * The world’s population has been growing increasingly rapidly and most of this growth is quite recent (since the mid 19th century) * Up to 95% of population growth is taking place in developing countries * The world’s population is expected to stabalize by around 2050-80 * North and Latin America is an exception because the population is predicted to be fallin by the end of the 21st century * Now‚ at 1.2% a year‚ the increase
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By Introduction: Last Thursday‚ September 16 of the current year‚ we the student of the Dalubhasaan ng Lunsod ng San Pablo(DLSP) had our “Educational Trip” to Subic‚ Olongapo. Aside from the Ocean Adventure at Subic‚ Olongapo‚ we also went to Nayong Pilipino at Clack‚ Pampanga and in Barasoain Church and Museum at Malolos Bulacan. The aim of this educational trip is to broaden the knowledge of students in the different fields of learning. Here is a brief discussion of what the trip was all
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Predictability of Social Media Usage to Grade Averages IB Math Studies Spring 2013 Table of Contents: Introduction/Purpose……………………………………………………………..p.3 Data Collection Method……………………………………………………….....p. 3 - 4 Data Analysis: Chi-Squared Statistic Frequency Table…………………………………………………………p. 4 - 5 Contingency Table……………………………………………………….p. 5 – 6 Chi – Squared Statistic…………………………………………………...p. 7 Degrees of Freedom………………………………………………………p. 7 Critical Value……………………………………………………………
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International Baccalaureate | Gold Medal Heights SL Math IA- Type II | Turner Fenton Secondary School | Completed by: Harsh Patel Student Number: 643984 IB number: Teacher: Mr. Persaud Course Code: MHF4U7-C Due Date: November 16th‚ 2012 Introduction This report will investigate the winning heights of high jump gold medalists in the Olympics. The Olympics composed of several events evaluating
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Math Summative: Fishing Rods Fishing Rods A fishing rod requires guides for the line so that it does not tangle and so that the line casts easily and efficiently. In this task‚ you will develop a mathematical model for the placement of line guides on a fishing rod. The Diagram shows a fishing rod with eight guides‚ plus a guide at the tip of the rod. Leo has a fishing rod with overall length 230 cm. The table shown below gives the distances for each of the line guides from the tip of
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2. Cells carry out asexual reproduction – called Mitosis 3. Cells are the smallest unit of organisms that can carry out all process of life * * 2.1.3 * State Unicellular organisms can carry out all functions of life * G – Growth = size and volume increase * H - Homeostasis = Maintenance of internal cell conditions * M – Metabolism = chemical reactions e.g. respiration * N – Nutrition = synthesis of organic materials * R – Reproduction = asexual (cell division)
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million people face starvation The gov instituted a one child policy -china’s growth rate plummeted -In 1984‚ the policy exempted ethnic minorities and farmers Unintended consequences: killing female infants and a black-market trade in teenage girls Human Population Growth- 7 billion- population continue to rise in most countries particularly in poverty stricken developing nations -although the rate of growth is slowing‚ we are still increasing in absolute numbers -took all of human history
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America’s most prominent and problematic issue. Population growth‚ the U.S. population is growing by over 2‚000‚000 people per year‚ 240 people per hour‚ about half from new births and half from immigration. An issue that not only devastatingly impacts our economy‚ but is rapidly depleting our environment. Such as‚ the Central Valley Aquifer which loses the water equivalent of 1 Lake Mead each year. The underlying factor catalyzing the rapid growth in population was the swift progression in technology.
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