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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case. THE MATH PROBLEM: The surface area of a cylindrical aluminum can is measure of how much aluminum the can requires. If the can has a radius r and a height h‚ its surface area A and its volume V are given by the equations: A=2(pi)r^2 + 2(pi)rh and V= (pi)r^2h A) The volume‚ V‚ of a 12 oz cola can is 355cm^3. A cola can is approximately cylindrical. Express the cola can’s surface area A as a function of its radius r‚ where r is measured in centimeters. Simlify your answer. (Hint: Your
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Your Name: Jennifer Green MAT 205 Final Examination Your Score: of 250 points NOTE: You must show your work on each problem to receive full credit points allocated for each problem (excluding T/F questions) Write a matrix to display the information. 1) At a store‚ Sam bought 3 batteries‚ 15 60-watt light bulbs‚ 46 100-watt light bulbs‚ 8 picture-hanging kits‚ and a hammer. Jennifer bought 12 batteries‚ 3 100-watt light bulbs‚ and a package of tacks. Write the
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compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Total Marks Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name‚ centre number and candidate number. Answer all questions. Answer the questions in the spaces provided – there may be more space than you need. Calculators may be used. If your calculator does not have a ʌ button‚ take the value of ʌ to be 3.142 unless the question instructs otherwise. Information
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it has been difficult for The Commonwealth to draw a line between defending religious freedoms and defending national security. Section 116 of the Australian Constitution limits the ability of the Commonwealth to legislate in respect of religion. State governments are not required to abide by the laws of section 116 . Australian courts have considered section 116 in only a small
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Part A Q2-Maths Assignment 2012‚ Mrs Pillai Lvl 1 Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example‚ the number pi (II). However‚ irrational numbers cannot be represented as decimals‚ unlike rational numbers‚ which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast‚ irrational
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| Why Do People Hate Math? | | | | | | Why is it that people hate maths? Truly‚ there is no bona fide reason why mathematics in particular should be disliked. It forms an inevitable part of life that every human must confront at some time in their lives. Math‚ as defined by Wikipedia.org‚ is the study of quantity‚ structure‚ space and change. Without realizing it‚ people integrate simple math into their lives‚ whether it is by playing a card game‚ taking out a loan‚ checking
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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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represented in the form of concrete objects. After repeatedly manipulating and rearranging the objects materializing a concept‚ children‚ in their own time‚ construct the corresponding abstract for themselves. Too many people leave school believing math is an impenetrable subject accessible only to a select few. A feature of Montessori mathematics materials is the way they transform mathematical process‚ even one with a reputation for being difficult‚ so it becomes both accessible and fascinating
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CheckPoint: Functionality of Programs When a program starts in an object-oriented language‚ information is put into compartments. This is what allows the program to compute things. In this example‚ we’ll be taking an e-business and examining an order has been placed within said program. All of the data is put into the right compartments‚ but what happens when the order needs to be submitted? The program has to have the capability of taking the data from the compartments and saving it to a file that
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