Math Portfolio HL- Type 1 INVESTIGATINGRATIOS OF AREAS AND VOLUMES The purpose of this portfolio is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b. Task 1 The general formula to find area A is [pic] The general formula to find area B is [pic] Therefore‚ the ratio of Area A to Area B is- = [pic] ÷ [pic] = [pic] × [pic] = n : 1 n:1 is the general conjecture formed. The given
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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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The Wizard’s Tide is a novella written by Frederick Buechner. This story highlights the struggles many families went through during the Great Depression‚ a time of severe economic downturn which had led to many struggling not only financially but emotionally and mentally as well. One of the most difficult things for people to do in this time was to transition from living in a life of luxury to one where some even had next to nothing. Some were not able to accept this fact and had trouble fully adjusting
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Math 116 - Chapter 6 review Name___________________________________ Provide an appropriate response. 1) Two random variables are normally distributed with the same mean. One has a standard deviation of 10 while the other has a standard deviation of 15. How will the graphs of the two variables differ and how will they be alike? 2) Which is larger‚ the area under the standard normal curve between -1 and 1‚ or the area under the standard normal curve between 0 and 2? Explain your reasoning
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This portfolio is an investigation into how the median Body Mass Index of a girl will change as she ages. Body Mass Index (BMI) is a comparison between a person’s height (in meters) and weight (in kilograms) in order to determine whether one is overweight or underweight based on their height. The goal of this portfolio is to prove of disprove how BMI as a function of Age (years) for girls living in the USA in 2000 can be modeled using one or more mathematical equations. This data can be used for
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Tabaco National High School Tabaco City MATHEMATICAL TRIVIAS Kim Patrick Barcenas II-Mendel Mrs. Sylvia Bo-Sariola Math Teacher When 111 111 111 is multiplied by 111 111 111 it is equal to 12345678 9 87654321 You can remember the value of PI (3.1415926) by counting each word’s letters in “May I have a large container of coffee?” 21978 when multiplied by 4 is the same number with digits in reverse order... 21978 x 4 = 87912 If you add up numbers 1-1000 consecutively
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Modelling Koala Populations and Management Strategies In Australia we have many species that we consider pests. Most people don’t consider the koala (Phascolarctus cinereus) to be one of them. Unfortunately in the late 1800’s and the early 1900’s millions of koalas were killed for their thick reddish brown to grey fur making them extinct in the state of South Australia and endangered across the rest of the country. In a bid to reverse this disturbing trend and conserve this clearly vulnerable
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increase in just one year. Tide Brand Background Tide was launched in year 1946 and was touted as the biggest innovation in the detergent industry. Over the years‚ Tide has grown to be one of P&Gs 26 billion Dollar brands. From being the world’s first compact detergent to being the first detergent to break carbohydrate and protein stains‚ the Tide brand has had a history of path breaking innovations credited to its name. Every hour‚ P&G produces over 400‚000 pounds of Tide! Tide entered India in the year
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Name: Math Manisa No.: 10740 Project 2 Regression Line The following table shows (for the years 1965 to 2000 and for people 18 and over) the total percentage of cigarette smokers‚ the percentage of males who are smokers‚ and the percentage of females who are smokers. Percentage of Smokers _________________________________________________________________________________________________ Year Total Population All
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IB KYAW WAI IB1I KYAW WAI IB1I CHEMISTRY IA (2) TITRATION OF ACID & ALKALI Name: KYAW WAI Date: 5th February 2013 IA CRITERIA ASSESSED: DCP‚ MS Declaration I declare that this report I have submitted is my own original work and I have acknowledged the use of words or ideas of another person. Signature: ______________________________ Marks: ______________________________ Aim of the experiment: The aim is to determine the water of crystallization of a diprotic acid by
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