Question: A scan of handwritten notes is completely acceptable. Make sure your PDF is easily readable and does not require magnification. Text which is not in focus or is not legible for any other reason will be ignored. If your scan is larger than 20Mb, please see if it can easily be reduced in size (e.g. scan in black & white, use a lower dpi — but not so low that readability is compromised). Staff are not permitted to answer asse...
Parallelogram Analytic GeometryUpload your written solutions to Blackboard by the due date. 1) A parallelogram has (ordered) vertices at the points A, B, C, and D.A = (2, −1, −5) B = (1, 0, −1) C = (1, 2, 3) (a) What are the coordinates of D? (b) What is the interior angle at B? (c) What is the area of the parallelogram? (d) Find an equation of the plane containing the parallelogram. 2) Suppose that the point P = (1, &m...
Car Preferences and Probability1. A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in Table 1 ("Car preferences," 2013). Find the probability a person chooses a car for each of the given reasons. Safety Reliability Cost Performance Comfort Looks 84 62 26 34 57 37 Table 1 2. Eyeglassomatic manufac...
Problem Set:1. Find the derivative for each of the following functions. a. f = x9 d. f (X) = X-2" e. f (x) = Vx-f. f (x) = /x3 g. f (x) = -rj h. f (x) = 1 vx 2. Choose any one(1) of the functions above and find the derivative of that functions using the method of "first principles". Please pick any function that you likeRubric Click to view the rubric for this activity. Click to view the long description of the rubric for this activity.
Pollutant Sources with Similar Results to Your ChoiceHow did you quantify or rank the possible pollutant sites? • Are there any pollutant sources that yield similar results to your choice? • How did you address the uncertainties inherent in the problem? • How large, small, signifificant, important, negligible, etc. is the difffference between possible site sources? • What future-looking analysis or monitoring options ...
InstructionsInstructions 1.Please show your work in order to earn part marks. 2.Answers must have correct units. 3.Accuracy should be to the nearest dollar, percentages to the nearest 0.1%, and decimal equivalents to the nearest 0.0001. 4.The assignment should be submitted in document format. 5.Each of your final answers should be in statement form with correct notation. Project Case: Focus Drilling Focus Drilling Supplies has been growing stead...
Question 1: SELF Test Linear Program Graphical SolutionFor the linear program SELF test Max 2A + 3B s.t.1A+2B 6 5A + 3B 15 A, B 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? Question 13:Consider the following linear program: Max 1A + 2B s.t. 1A 5 1B 5 2A + 2B =12 A, B ≤ 0a. Show the fe...
Problem 1Problem 1 Let G be the graph of vertices 1, 2, 3, 4 and edges 12, 13, 14, 23, 24, 34. Can it be drawn starting from some vertex but without ever lifting the pen from the paper? Problem 2 Let G be an acyclic graph with n vertices and exactly k connected components. Show that G has n − k edges. Problem 3 [Planarity] Draw an example of a graph that is •planar and 2-connected •planar, but not 2-connected •2-co...
Task 1: Analyzing the Game of Matching Pennies1. For the game of matching pennies shown below, the payoff is for player 1. Determine the best strategy for each player, the expected value of the game, and which player (if either) has an advantage. Determine the expected outcome if the game is played 1000 times. Player 1 Should _______________________________________________________ Player 2 Should _____________________________________________...
Example 1Example 1. Now, let us consider the risk taken by a seller, or writer, of the call, who simply writes the call and waits to see what happens. The call writer takes in the initial option “premium” of$0.40 and then waits to see what happens to the stock price. If the stock price rises to $10.80, the person to whom the option was sold will exercise the option, and the call writer will have to paythem $0.80, for a total profit o...
Submission of AssignmentsThe following guidelines are intended to help you present your assignment to astandard format. The guidelines apply to the ‘essay’ sections only and should be followed when submitting your assignments. o with a front page which has the module code and title, your student number and the date submitted, and indicates which component the assignment iso in word processed form, for A4 paper using a plai...
Choosing a Linear Algebra Topic and Real-World ExampleIn this course, we have used the weekly forum discussions to delve into Linear Algebra’s applications, asking such questions as: How is Linear Algebra used in the real world? Is it a common or uncommon technique? Is it used to cut costs? Increase computational power? Solve problems not otherwise easily (or cost effectively) solvable? Unfortunately, the weekly forum discussions by thei...
Monte Hall ProblemConsider the following version of the Monte Hall Problem:There are four doors numbered 1,…,4. Three of these doors have goats behind them. One door has a sports car. You want to win the sports car.You pick one door, i uniformly at random and put a chalk mark on it. That door stays closed for now.Monte Hall opens a door j, with j≠i, showing you a goat. You get to pick any of the three unopened doors in {1,2,3,4}?{j} a...
TaskA scrabble hand is a set of 7 tiles, each having one of the english uppercase letters on them, drawn uniformly at random from a bag of 100 tiles. The number of tiles of each letter are as follows: E×12, A×9, I×9, O×8, N×6, R×6, T×6, L×4, S×4, U×4, D×4, G×3, B×2, C×2, M×2, P×2, F×2,H×2, V×2, W×2, Y×2, K×1, J...
Part (a): Solving an equation and finding range of values of variablesQuestion 1 (a) Real variables x and y are related by the equation ln y – ln (y + 3) + ln 4 = 2 ln x. (i) Identify the range of values of x and y for which the expressions an either side of this equation are defined. (ii) Determine y explicitly as a function of x, that is, identify the equation in the form y = f(x). (b) By using implicit differentiation, present...