Question Instructions and Honor Code StatementWhile this will be an open book exam and you are allowed to consult books, notes and other print sources, you are not allowed to consult with one another.If you consult any (course or external) materials for a question, be sure to provide me a complete list of resources that you consulted. This information is to be provided for each question separately.No credit will be given for typed responses....
TaskYou are employed by a large design and build contractor , as a design build technician. Your supervisor hasrecognised that this mathematical unit would benefit and support you both in terms of completing your HigherNational studies but also in understanding how mathematical techniques could be applied to varying construction situations. Your supervisor also reconises that some advanced mathematical techniques will be needed in future stud...
Question 1 – Solving InequalitiesIf you have a disability that makes it difficult for you to attempt any of these questions, then please contact your Student Support Team or your tutor for advice. The work that you submit should include your working as well as your final answers. Your solutions should not involve the use of Maxima, except in those parts of questions where this is explicitly required or suggested. Your solutions should n...
Conceptualizing Social Media Marketing for Business SuccessSocial media marketing is conceptualized as a powerful tool and a platform that numerous businesses register an excellent performance. Most successful prospects and decisions regarding the management and marketing of businesses are presented to the public domain through the social media platform. Evidently, quite a number of potential clients to businesses of any kind normally interact...
Problem 1: Maximum Volume of a Cardboard Box1. We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold up thesides to form a box. Determine the height of the box that will give a maximum volume.Complete solutions are requiredInclude a diagram where possible2. We want to construct a cylindrical can with a bottom but no top that will have a volume of 30cm3 Determinethe dimensions of the can that will ...
Question: Your assignment is to create a quiz covering the topics we have discussed in chapter 6. These things include: an intro to vectors, vector addition, multiplication of a vector by a scalar, properties of vectors, vectors in R2 and R3, Operations with Algebraic Vectors, Linear Combinations and Spanning Sets. Your final project for Vectors will need to include example questions from Chapter 6-9, so if you do a good job you can use part o...
Recall the derivation of the Michaelis-Menten rate law for an enzyme-catalysed reaction,which began with the scheme:a) [1] Write a di↵erential equation model for the system dynamics (not assuming kc) [2] Determine the overall reaction rate (i.e. the net rate of production of product) as afunction of the concentrations of substrate and product.d) [1] Confirm that when ka) [1] Simulate the system from initial conditions (in mM) (s1, s2) = (1,...
Cost, revenue and profit functionsPlease Complete the questions attached. Each question must showing the working out and must follow every instruction.Applications of functions in finance, e.g. cost, revenue and profit functions.Supply and demand curves; market equilibrium and elasticity.Simple and compound interest; interest rates.Applications of geometric series, e.g. annuities; sinking funds; mortgage and debt repayments.Applications of d...
Exam Details⢠  This exam is worth 12 points toward your final grade in the course.  ⢠  The exam has 3 Parts.⢠  The exam is available on the first day of week 8. ⢠  You may take as long as you like on this exam, but you must complete and submit to ...
Question 1: Gas Station Probability Distribution Use the following for questions 1?3: The probabilities that a gas station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30?minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. 1. (4 points) Do the set of probabilities constitute a pmf? Justify your answer.2. (4 points) Write and plot the cdf of the number of cars served during the 30?minute period.3. (4 ...
Task Q1) For the following matrices, Calculate all eigenvalues and eigenvectors; Find the geometric and algebraic multiplicities of each eigenvalue, and use these to establish whether the matrix can be diagonalised; If it exists, state the diagonalisation of the matrix; Provide a geometric interpretation of the linear transformation(s) represented by the matrix. For part (b), you should consider all possible matrices for a, b &isi...
Task: Using materials generated by the project classes and through your independent study, populate a portfolio of evidence of your learning and development during the module. Write a 500 word reflective summary to explain how and why these materials have supported the development of your employability. This assignment requires you to Create a portfolio as below: 1. Create a minimum of 10 artefacts. (The individual artefacts and project mater...
Task Short Answer. Answer the indicated question. Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric} or G = {A, B, C, D, E}, list and count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office. 1) Three representatives, if two must be male and one must be female. Use a tree diagram showing all possible results when...
Question 1: PermutationsDeadline for submission is 4pm Friday October 29th, 2021. Assignments should be submitted via MyAberdeen. Justify your answers. 1. (a) Let α: {1, . . . , 9} → {1, . . . , 9} be the permutation defifined by Write it as a product of disjoint cycles. [4 marks] (b) Let τ = (4 11 2 13)(1 7 9 3 10 15)(8 5 6 12) be a permutation in S15. Compute τ 16 . [4 marks] (c) Find a permutation α such that...
First Order Linear Differential EquationsThe purpose of this project is to provide an opportunity to explore a topic in integral calculus or one of its applications in engineering science. Besides your project report, the final submission for the project also involves solving a set of three problems related to the topic you have explored in the body of your project. These problems, which are from your course textbook, are assigned to you by yo...