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Carry out an analysis of the determinants of COVID-19 cases across a given continent and a given country.

The Tasks The World Health Organisation has asked you to carry out an analysis of the determinants of COVID-19 cases across a given continent and a given country. On Moodle you will find details of the continent and the country that has been allocated to you. You are required to write a 1,800-word economic report […]

What type of data do you have in the original and in your adjusted dataset?

Project Guidelines The aim of this project is to test your understanding of and ability to apply the statistical concepts and methodologies discussed throughout the module as well as your ability to analyse and evaluate the outcome of your analysis. The project is deliberately ‘open ended’ or, in other words, not very prescriptive in what […]

Consider backward differentiation formula (BDF). Prove that the k-step BDF method is stable if and only if k≤6 holds.

1. Consider backward differentiation formula (BDF).(a) Prove that the k-step BDF method is stable if and only if k≤6 holds.(b) Prove that the k-step BDF method is A-stable if k= 1,2.(c) Draw the regions of absolute stability of the k-step BDF with k= 1,2,3,4,5,6, respectively.2. Try to construct 3-stage Runge Kutta method (A, b, c) […]

State Lagrange’s theorem about periodic continued fractions.

(a) State Lagrange’s theorem about periodic continued fractions. [3] Find the continued fraction expansion and the first 6 convergents for a = [6] Find the quadratic irrational given by the continued fraction 15;1,, 1,2, 2]. [4] (b) Find the two smallest positive solutions of Pell’s equation x2 10y2 1. [7]

Assuming that electricity costs $0.13 per kWh, find the electricity cost of running each appliance for the entire year.

Ever wonder how your electricity bill is computed? The following table gives the watts of power that are typically required by several major (and not so major) appliances. (Source: http://www.wholesalesolar.com/solar-information/how-to-save-energy/power-table, with some numbers rounded off for computational convenience.) Table 1: Appliance Central Air Conditioner Water Heater Clothes Dryer Oven Dishwasher Fridge Ceiling Fan LCD TV […]

Demonstrate mathematical literacy by consistently using correct Mathematical notation, terminology, conventions, and relevant diagrams and graphs.

1. To demonstrate mathematical literacy by consistently using correct Mathematical notation, terminology, conventions, and relevant diagrams and graphs; 2. To evaluate the strengths and weaknesses of alternative models and consequently of conclusions drawn; 3. identify, simplify and abstract the underlying mathematical structure of a business situation allowing a business-related problem to be modelled; 4. solve […]

Create a confidence interval about the population for some level of confidence. Does this interval seem reasonable to you?

Project Approval. Decide upon a project consisting of 2 sets of data, or samples, that are dependent upon each other. You may find data on the Internet or you may want to perform a survey, but you will need at least 30 items in each of the two sets of data. Before beginning the project […]

Proof (transyersality condition for Hopf-bifurcation).

Proof (transyersality condition for Hopf-bifurcation). If then the transyersality condition holds: clA (3.20) at r = To Proof. By using implicit function theorem and differentiating the with respect to the In this section, system parameter k is regarded as a bifurcation parameter to analyze the problem of bifurcation of NN model (1). The conditions of […]

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