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# Mathematics Coursework

Music Technology
The graphic diagram refers to the two types of dB namely the dB (SPL) and dBu scales. With regard to the dB (SPL), the primary variable measured is the sound pressure level in the audio system. This kind of dB is achieved by measuring the ratio amplified input signals using the logarithmic formula: 10 log (P2/P1) dB   where the log is assumed to base 10. (Rossing , Moore , Wheeler, 2002, p. The other type of dB used in the diagram is dBu which generally indicates the output of the sound
Pages: 4 (1000 words), Coursework
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Runge-Kutta Method for solving initial value problem Your investigation should take the form of a coherent project, describing and analysing Runge-Kutta methods for obtaining numerical solutions to initial value problems.order to complete this investigati
The Holy Spirit relationship with human should always come first before adherence to the written scriptures (William 65-69).The author has little regard to the church and other institutions. He explains this by his character Mack who in spite of being in the seminary, he had little understanding of God which contributed to his living in sadness following his daughter murder (Briana 47). I feel this is in contrast with reality as those who attend seminaries gain a deeper understanding of God and
Pages: 8 (2000 words), Coursework
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Maths project
All the prevailing participants were twenty and their consent were received from parents by elaborating the main reasons of undertaking the research. The data were then transferred into corresponding tally chart and then the number of participants with particular size shoe was computed. The data were displayed into the bar chart, pie chart and suitable scatter graph. Diverse means was utilized in computing averages and corresponding participants’ ages were mainly ranging from ten years of age
Pages: 5 (1250 words), Coursework
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Koch's snowflake paradox: infinite perimeter and finite area
Each of the line signet of the equilateral triangle then divided into thirds. The middle third is removed and then replaced with two line segments that have equal length resulting into formation of another equilateral triangle on the other original triangle’s sides (University of British Columbia 2011). This process is repeated infinitely resulting into the formation of the Koch Snowflake fractal. The figure below illustrates the first steps followed in the construction of the Koch snowflake
Pages: 10 (2500 words), Coursework
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Trig Identities Module Worksheet
This is because solving the equation while making the assumption that the integrity of the equation is maintained is wrong. You don’t know if the equation is an identity until you have actually verified it.This involves changing, by doing this you are able to simplify the complicated side of the equation by only using Cosines and Sines. By applying a quotient identity or reciprocal identity one can come up with a reciprocal identity in the verification process of the complicated side of the
Pages: 4 (1000 words), Coursework
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Analytical techniques
The constant is the optimal solution. Denoting the subscript of b by k, the table below shows the iterations. The constant value of b has been obtained after three iterations. The formula shows in the excel sheet attached when highlightedThe Newton’s method of optimization used depends on the available information. In this case, the equations governing the problem are known. Analytical methods are shorter than numerical methods. Numerical methods involve iterations, which consume time. For
Pages: 4 (1000 words), Coursework
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3) Do bilingual students have a greater memory recall than non-bilingual students Studies have shown that bilingual students have better working memory does this include memory recall
This can happen when we have more than two variables, whereby there could be a difference between any of these variables. In this case, it’s not known which variables have the differences. For our case, the variables are two (male and female) and we already know that the mean score is not the same between the two groups. Therefore, there is no need of doing post hoc testTo determine if there is a main effect of classroom size, post hoc tests can be used if applicable as well (Field 2013). In
Pages: 8 (2000 words), Coursework
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Financial Mathematics and Business Statistics: Coursework
The difference was 18225-17650, which gives 575. The twist is that international expansion was higher than the domestic expansion. Therefore, optimistic category is the only category that depicted significant difference between the international and domestic expansion. In fact, this category should form the basis for selecting the most appropriate model for implementation.The increase in machine hour will increase the cost per hour, hence increase in production cost, the company will have to
Pages: 10 (2500 words), Coursework
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The order rule requires that for each alternative I face, I construct the possible futures formed by selecting the alternative and then one degree of each distinction used to describe it. I call the result a "prospect". Sequential decisions following revelation of information require prospects that describe each alternative and the distinctions that follow it. When I have a complete list of prospects formed by the alternatives and their possible consequences, I must then order them in a list,
Pages: 8 (2000 words), Coursework
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Applewood auto group
It is seen from the scatterplot that buyers purchasing vehicles on which the high profits can be earned are in every age group. The scatterplot does not show the presence of the relationship between the age of the buyer and the earned profit. The option “Add Trend Line” in Excel can be used to get the trend line and the coefficient of determination. The coefficient of determination R2 is equal 0. The correlation coefficient is the square root of the coefficient of determination R = 0. The
Pages: 4 (1000 words), Coursework
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Probability and statistical inference
Suppose 1000 people randomly and independently choose an integer between 1 and 50, inclusive. What is the probability that no two will have chosen the same number? (I want two forms of the answer, an exact expression and a numerical value to two decimal places.Suppose 50 people randomly and independently choose an integer between 1 and 1000, inclusive. What is the probability that no two will have chosen the same number? (I want two forms of the answer, an exact expression and a numerical value
Pages: 10 (2500 words), Coursework
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Game theory and its connection in real life decisions
For example, when one flips in coin toss probability, the first 4 flips, the relative frequency estimate is 0. However, the probability normally gradually stabilizes around 0.5 with more flips as shown in the figure below.The probability aspect of game theory offers the rules and language required for dealing with uncertainties, while statistics provides the necessary tools required for the application of game theory in real world situations. The use of probability distribution in game theory
Pages: 8 (2000 words), Coursework
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