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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In Lacsap’s Fractions‚ when looking for a general pattern for the numerator‚ it can be noted that it does not increase linearly but exponentially. Numerators are 3‚6‚10‚ and 15‚ each preceding numerator added by one plus the row number. Using this general statement it can be concluded that the numerator in the 6th row is 21 (15+6)‚ and 28 for the 7th. Generating a Statement for the Numerator: To generate an equation for the numerator of the fraction‚ the fraction data must be organized and
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English II Essay The Tide Rises and The Tide Falls is a poem that is filled with symbolism. I think the tide represents the everyday life of people‚ which is continuously being repeated over and over. Also‚ the calling of sea in the darkness’ symbolizes the upcoming death. The author’s tone in this poem is very clear and not emotional‚ although the overall atmosphere is very sad and lonely. This poem uses mood to show that death in inevitable and it comes to everyone. The author
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Henry Wadsworth Longfellow uses certain devices in his poems to convey a certain theme. In his poems‚ A Psalm of Life and The Tide Rises‚ The Tide Falls‚ Longfellow uses the mood to accomplish the different theme of each work. Each poem‚ written at a different point in Longfellow’s life‚ displays a different view on life. In A Psalm of Life‚ Longfellow shows that life is something important and something to make the best of. His theme in this poem is that it’s essential to lead a productive life
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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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Exploration of Lacsap’s Fractions The following will be an investigation of Lacsap’s Fractions‚ that is‚ a set of numbers that are presented in a symmetrical pattern. It is an interesting point that ‘Lacsap’ is ‘Pascal’ backwards‚ which hints that the triangle below will be similar to “Pascal’s Triangle”. 1 1 1 1 1 1 1 1 1 1 There are many patterns evident in this triangle‚ for instance I can see
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“The Tide Rises‚ The Tide Falls” written by Henry Wadsworth Longfellow and was a poem I wanted to write about because it intrigued me by all the figurative language. What I like about this piece of writing was the fact that he used different objects in the poem that represent meanings from actual aspects of life. This poem relates to today’s world because it explained the ups and downs of life and it’s a representation of the circle of life. It relates to all of us now in the world we live in because
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Analyzing Poetry (the DFTT model): 1st reading – Just read the poem. Most of us have to read a poem multiple times to figure out the meaning. 2nd reading – DECODE: Try to figure out what is being said literally. What is happening in the poem? Start with the biggest‚ most obvious things first. When you decode a poem‚ translate it (paraphrase) into your own words. It’s probably better to decode it stanza by stanza‚ rather than line by line. Try to find any possible shifts in the poem‚
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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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Discrete-event System Simulation J. Banks‚ J.S. Carson and B.L. Nelson Prentice Hall International‚ 1994 SIMULATION AND MODELLING Tony Field and Jeremy Bradley {ajf‚jb}@doc.ic.ac.uk • Simulation Modeling and Analysis A.M. Law and W.D. Kelton McGraw Hill‚ 2000 • Probabilistic Modelling I. Mitrani Cambridge University Press‚ 1998 1 2 • A Compositional Approach to Performance Modelling (first three chapters) J. Hillston Cambridge University Press‚ 1996. On-line at: http://www.doc.ic.ac.uk/ jb/teaching/336/1994hillston-thesis
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