“On a continuous curve without tangents‚ constructible from elementary geometry”. ➢ In this mathematical task‚ I am going to investigate how the area and perimeter of a shape/curve changes and find out whether they increase by the same number every time‚as the following process is repeated: i. Start with an equilateral triangle. ii. Divide each side of the triangle into three equal segments.
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A2 Mathematics Coursework C3 Year 12 Numerical solutions of equations Solving 0 = x5+x-5 using the “Change Of Sign” Method The method I will use to solve 0 = x5+x-5 is the Change of Sign Method involving the Decimal Search method. I have drawn this graph using the Autograph Software‚ and the print screen of this is below: From my graph above‚ I can see that the root of this equation is between x =1 and x = 1.5. The table of x values and f(x) values is shown below
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basic notions of Groups‚ Rings‚ Fields‚ and Algebraic Extensions provide a framework from which to examine almost all of mathematics. These notions serve as unifying concepts that interlace such seemingly disparate subjects as geometry‚ analysis‚ number theory‚ topology and even applied mathematics. Nicomedes Alonso III Abstract Algebra 1 of 29 SOLVABILITY BY RADICALS - Linear Equation Clearly the root of the linear equation ax + b = 0 (1) is given in terms of the coefficients
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Standard deviation can be difficult to interpret as a single number on its own. Basically‚ a small standard deviation means that the values in a statistical data set are close to the mean of the data set‚ on average‚ and a large standard deviation means that the values in the data set are farther away from the mean‚ on average. The standard deviation measures how concentrated the data are around the mean; the more concentrated‚ the smaller the standard deviation. A small standard deviation can
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However‚ The Classic and Variation Koch Snowflakes differ in their general formula for area because the Variation Koch Snowflake is an alternating series. The area of the final snowflake for the Classic and the Variation both converge to a number‚ but the Variation Koch Snowflake is going to have a smaller final area because it loses area for every odd iteration. As shown in this project‚ it is important to realize how an alternating series can affect the area of fractal iterations but an
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"shortening" produces a smaller code of any desired size from a larger code. For example‚ the widely used (255‚251) code can be converted to a (160‚128). A Reed–Solomon code operating on 8-bits symbols has n = 28 – 1 = 255 symbols per block because the number of symbol in the encoded block is n = 2m – 1. For the designer‚ its capability to correct both burst errors makes it the best choice to use as the encoding and decoding
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setups‚ inspection‚ frame and assembly and machine-related. Expected activity is categorized into producing standard briefcases and specialty briefcases. As you see in the table 1‚ (yellow filled cell) the number of orders for purchasing is the sum of Leather‚ fabric and synthetic material. The number of receipts for material handling is the same. According to part a of additional information‚ the company does 10 setups for the standard items each month and 25 setups for the specialty items. A setup
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urging of the Prussian king Frederick the Great. Euler returned to St. Petersburg in 1766‚ remaining there until his death. Although hampered from his late 20s by partial loss of vision and in later life by almost total blindness‚ Euler produced a number of important mathematical works and hundreds of mathematical and scientific memoirs. In his Introduction to the Analysis of Infinities (1748; trans. 1748)‚ Euler gave the first full analytical treatment of algebra‚ the theory of equations‚ trigonometry
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should have just a number. It’s best to subtract from the side with one variable and one number. The answer should always be in standard form.Last‚ but not least you can also find slope using a line by the standard form equation.(y‚ y )= m(x‚ x ) is the standard form equation. There are many ways you can use this equation‚ to find slope of two points‚ given a slope and a point‚ given slope and y-intercept‚ and slope of parallel and perpendicular lines. In standard form the number before X has to be
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A Field Study in Real estate Business ABSTRACT Introduction: Real estate that generates income or is otherwise intended for investment purposes rather than as a primary residence. It is common for investors to own multiple pieces of real estate‚ one of which serves as a primary residence‚ while the others are used to generate rental income and profits through price appreciation. The tax implications for investment real estate are often different than those for residential
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