The application of linear programming in financial decision-making is explored in the next section.
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- FACTS: In Module 5, you have learned the different parts of a Block Diagram of Basic Measurement Theory. QUESTION: In your own opinion, what do you think is the importance of having this Basic Measurement Theory? What are the benefits of it in your study right now?Consider the following statements with respect to Dynamic Programming algorithm design strategy. I. Dynamic Programming is an algorithm design technique which makes use of Recursion. II. Dynamic Programming makes use of Memoization. Find true and false.Description Implement a Taylor series approximation of some mathematical functions. In mathematics, the Taylor series is a way of approximating transcendental functions such as sin x or log x. In this approach, we can approximate a mathematical function as closely as we might want to by adding together numbers that get us closer and closer to the true value of the function. For example, the exponential function e" can be approximated as: 73 e" = 1+x + 2! 3! - nl and the sin function can be approximated as: (-1)" 73 sin z = x - 3! „5 77 2n+1 (2n + 1)! 5! 7! n=0 The more terms we include in our approximation, the better an approximation we get of sin x. In this assignment, you must implement Taylor series approximations for these two functions. Your functions should take two parameters: the value of x and the number of terms to use in the approximation: /** * Calculate an approximate value for the exponential function. @param the value to raise e to the power of (i.e., e to the x) *…
- 1. The entrance room (or the starting of the maze) is considered as level 1. Now, answer these following questions: (a). Write an algorithm to figure out how many maximum levels the maze can go up to. (b). Figure out the complexity of your algorithm. To create a maze some rooms of a building is connected. Starting room is called Entrance room. From the entrance room other rooms are there connected from it. However, some rooms of that maze- building have connected room from it, and some rooms do not have any connected room. Each of the room can have at most or up to two rooms connected from it. The starting room is the entrance room of the maze or building. Fore example: It can be any one like the followings: Exemple -: Room1 Roono Room Entrance Room Raom Room2 Room? Roo Roomo Here, maxinum level =7 Example -2; Entrace Room D- Room5 Room 2 Room 4 Maxximum level=3How may we apply the concept of abstraction in object-oriented programming to a discussion about pizza?Using MATLAB.Graph not required. But please explain the process of the code
- Personal project Q5. This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence A of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm. No marks will be given if your answer uses loops. FindAverageAndProduct(a1, ...., an) such that n > 1 Input: A sequence of real values A = (a1, ...., an) Output:, A 2-tuple (average, product) containing the average (average) of all the values and the product (product) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and product values, and should not use two separate instances of a recursive design. You should not employ any global variables. (a) Produce a pseudo code design for a recursive algorithm to solve this problem. (b) Draw a call-stack…Part C: Function, for and plotting We did a project in the lecture on calculating the free fall speeds and plotting them on a graph. This part is similar to the project. An engineer has derived a relationship between the force applied to a material and the extension in length that the force would cause. The relationship between force f and extension e is given by: You are asked to plot a graph showing the relationship between force and extension. You are asked to complete the following tasks: Task 1 Write a Python function which returns the value of e for a given input f. Do not use literals (e.g. 5.5, 10) in the expressions for e in the function. Instead you should define constants and use them. Note that the relationship between e and f depends on whether f is bigger than 10 or not, this means you need a certain Python construction in your function. If you can't think of that, have a look at Part A of Lab03.Personal project Q5. This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence ? of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm. No marks will be given if your answer uses loops. FindAverageAndProduct(a1, ...., an) such that n > 1 Input: A sequence of real values A = (a1, ..., an) Output:, A 2-tuple (average, product) containing the average (average) of all the values and the product (product) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and product values, and should not use two separate instances of a recursive design. You should not employ any global variables. (a) Produce a pseudo code design for a recursive algorithm to solve this problem. (b) Draw a call-stack…
- The use of linear programming in financial decision-making is explained in detail in the next section.Assume a very good NBA team has a 70% chance of winning in each game it plays. Use simulation to answer these questions, where each iteration of the simulation generates the outcomes of all 82 games. Use simulation with 10,000 iterations to answer the questions. For part a, write your numerical answer with no decimal or commas (e.g., if your computed answer is 101,021.128, write your answer as 101021). For part b, write your probability answer to two decimal places with a leading 0 (e.g., write a probability of 90.02% as 0.90). a. During an 82-game season what is the average length of the team's longest winning streak? The average length of the winning streak is . b. What is the probability that the team has a winning streak of at least 16 games? The probability isConway's Game of Life: This is a zero person game with the following rules: (see Wikipedia for example) Any live cell with fewer than two live neighbours dies, as if by underpopulation. Any live cell with two or three live neighbours lives on to the next generation. Any live cell with more than three live neighbours dies, as if by overpopulation. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction. Remember the oscillator or blinker of 3 cells. You can also find this blinker on Wikipedia. 1 21 1 2 1 21 3. 4 6 4. 6. 4 8. 9 8 9 #1 #2. #3 5. Consider now these 3 creatures at stage 1: Show how they look like in the next two stages: stage 2 and stage 3. Explain how you get the answers Creature 1 Creature 2 Creature 3 (here creature 1 is the blinker of 3 cells, horizontally; creature 2 consists of two adjacent cells, creature 3 consists of 4 adjacent cells horiztonally) ww (d) Creature 1 (10%), (e) Creature 2 (8%), (f) Creature 3 (20%)