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    Ib Math Portfolio Type 2

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    Introduction In this task‚ I will develop model functions representing the tolerance of human beings to G-force over time. In general‚ humans have a greater tolerance to forward acceleration than backward acceleration‚ since blood vessels in the retina appear more sensitive in the latter direction. As we all know‚ the large acceleration is‚ the shorter time people can bear. Using the data shown in the task and Mat lab analysis‚ we can get several model functions to represent the tolerance

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    Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has

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    The aim if this IA is to investigate Lacsap’s Fractions and to come up with a general statement for finding the terms. When I noticed that Lacsap was Pascal spelt backwards I decided to look for a connection with Pascal’s triangle. Pascal’s triangle is used to show the numbers of ‘n’ choose ‘r’(nCr). The row number represents the value of ‘and the column number represents the ‘r’ value. Eg. Row 3‚ colomn 2 = 3C2 = 2. I noticed that

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    Examine how Universal Music Group is fighting piracy along with its devastating financial effects and whether or not these measures have been effective. 1. 2. 3. 4. 5. I. ● ● ● II. ● ● III. ● IV. ● ● ● V. ● ● Title Page Contents Page Acknowledgements page Abstract (see copy that was turned in) Discussion: Introduction In the last decade‚ the music industry as a whole has been struggling with sales and financial downfalls due to the popularity of (mostly digital) pirated music

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    Math Ia

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    Math IA IB MATH SL Math IA Introduction: In this task I will consider a set of numbers that are presented in a symmetrical pattern and try to find a general equation to find the elements in the [pic]row. Consider the five rows of number shown below. Figure 1 Lacsap’s Fractions The aim of this task is to find the numerator of the sixth row and to find the general statement for [pic]. Let [pic] be the

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    sequence advances. Using excel to graph the points and loggerpro to generate an equation‚ the general statement for finding the numerator N=0.5n2+0.5n‚ n having to be greater than 0. To check the validity of the equation sample equations were used: Sample Equation: 5th Row: N=0.5(5)2+0.5(5)=15 Patterns Recognized: The first pattern that could be recognized is that the difference between the numerators of the ensuing rows is 1 more than the change between the previous numerator of the two consecutive

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    Internal Assessment IB Physics-7 Mr. Parent 14 January 2012 I. Design • Purpose: o To determine how the surface area of a coffee filter affects the average velocity of the coffee filter from the same height. • Variables: o Independent Variable ▪ Surface area- The area of the surface after the folds have been made o Dependent Variable ▪ The Average velocity- calculated by measuring the time and dividing by

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    IB Chemistry IA 2

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    equilibrium constant Kc for the reaction. In this experiment‚ I will study the equilibrium properties of the reaction between ethanoic acid‚ otherwise known as acetic acid (CH3COOH) and water (H2O): CH3COOH(aq) + H2O(l)  CH3COO-(aq) + H3O+(aq) When solutions containing ethanoic acid and water are mixed‚ they react to some extent‚ forming CH3COO- and H3O+. As a result of the reaction‚ the equilibrium amounts of CH3COOH and H2O will be less; for every mole of CH3COO- formed‚ one mole of CH3COOH and one

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    Math Ia

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    IB Math Studies Internal Assessment: What is the Relationship between SAT Scores and Family Income of the Test Takers around the World? Exam Session: May 2011 School name: International School Bangkok Teacher: Mr. Demille Date: December 8th‚ 2010 Course: IB Math Studies Word Count: 1‚832 Name: Billy Egnehall What is the Relationship between SAT Scores and Family Income of the Test Takers around the World? Introduction The SAT examination is mostly in today’s world of academics‚ a requirement

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    Math Ia

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    Math IA Math Internal Assessment EF International Academy NY Student Name: Joo Hwan Kim Teacher: Ms. Gueye Date: March 16th 2012 Contents Introduction Part A Part B Conclusion Introduction The aim of this IA is to find out the pattern of the equations with complex numbers by using our knowledge. I used de Moivre’s theorem and binomial expansion‚ to find out the specific pattern and make conjecture about it. I basically used property of binominal theory with the relationship between the

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