MCEN30020 Systems Modelling & Analysis: Workshop Week 12 State Space, Vibrations and System ID
If the differential equation for h(t) has a time constant τ = 55 and gain K = 32, what is the value of d? (a) d = 0.5659 m (b) d = 0.6086 m (c) d = 0.7343 m (d) d = 0.5346 m (e) None of the options
by ff1000000·复分析复变函数代考案例MAST30021 Complex Analysis考试作业已关闭评论
Semester 1 Assessment, 2022 School of Mathematics and Statistics MAST30021 Complex Analysis Reading time: 30 minutes | Writing time: 3 hours | Upload time: 30 minutes This exam consists of 3 pages (including this page) with 8 questions and 80 total marks
Question 8 (12 marks) Question with two optional parts. This question has two parts, A and B, one with an emphasis on computation, the other with an emphasis on proofs. You are expected to address precisely one of these two parts according to your own preferences. If you answer both parts only one of your answers will be marked at the discretion of the examiners.
MAST30021 Complex Analysis代写: Tables
Overview of applications of the Laplace equation
Inviscid incompressible fluid flows Electrostatics and magnetism in vacuum Gravitational problems in vacuum Steady-state heat flows Steady-state diffusion processes
You are expected to provide a rigorous mathematical proof in both parts based on the use of the Triangle Inequality. It is highly recommended to make a sketch of the situation rst.
by ff1000000·考试助考Final Exam 2022 ECON6021 Financial Economics代考助攻已关闭评论
主要考察后半部分知识点
Mutuality Principle (15 marks) Investors A and B only care about one good – wealth at date t = 1. At that date economy will be either in state 1 or in state 2. A and B agree that state 2 is twice as likely as state 1: In state 1 A will have the wealth endowment of 6 and B will have the wealth endowment of 18: In state 2 A will have the wealth endowment of 12 and B will have the wealth endowment of 12: Neither investor has any wealth at date 0. At date 0 both investors have access to the nancial markets with the following payoff matrix
Mean Variance Approach (21 marks) Suppose an investor has access to a trading platform that o¤ers three nancial assets. The platform prohibits selling any asset short, that is the investor can hold zero or a positive amount of either asset. There are two possible states of the world. The payo¤s of the assets are given in the matrix below
Stochastic Discount Factors (19 marks)
a: (7 marks) Compute the equilibrium prices of wealth, (Arrow security prices), and the equilibrium allocations of wealth for Agents A and B. Hint: the mutuality principle does not provide a simple answer here. You need to set up the optimization problem for each agent, solve for the demands for contingent weath, impose market clearing conditions and solve for the equilibrium prices of wealth in di¤erent states (or their ratio).
This examination paper contributes 70 percent to the assessment in ECOM30001. Open Book Status: Yes You are permitted to use notes, textbooks, or resource materials, as authorised by the Board of Examiners.
Question 1 [20 marks]
a) [5 marks] Suppose you are investigating the e ects of trac congestion and trac- related air pollution on infant health outcomes. This research question is examined by analysing the impact of the introduction of an electronic toll collection system along an extended stretch of a local freeway. This new electronic toll collection system reduced delays at toll collection booths, as well as air pollution caused by idling, accelerating, and decelerating. This electronic toll collection system was implemented at di erent times along this extended stretch of freeway. Consider the following timing of events for a particular section of the local freeway period0 = Before: Observation of infant health outcomes period1 = Introduction of electronic toll collection period2 = After: Observation of infant health outcomes
Question 4 [20 marks] Through Medicare, Australia provides individuals with universal access to health care. How- ever, there can be signi cant out-of-pocket expenses associated with treatment in hospitals, that can be considerably dicult for low-income individuals to absorb. Consequently, the availability of a ordable health care for low-income adults is an important policy question. The availability of (public) health insurance is one mechanism that can impact the health care costs faced by low-income individuals. By lowering the cost of health care, health insurance is expected to increase the utilisation of health care services. What is the impact of health insurance on the utilisation of health services? Consider the following econometric model:
Types of Data Data might be collected in the following forms: time series: follow a country, region, rm or individual over time cross-sectional: collects information on several countries, regions, rms or individuals at a single point in time panel: follows several cross-sectional units over time Data may be collected at several levels of aggregation micro: individuals, households, rms macro: regional, state, or national
Discrete and Continuous Random Variables A discrete r.v. can take only a nite number of values that may be counted using the positive integers 0; 1; 2; : : : examples of discrete random variables include 1 qualitative outcomes that are an \either-or” situation, such as: – whether a person is student, or not – whether a person buys a particular item, or not – whether a person defaults on their loan, or not – whether a person resides in a particular region, or not 2 ‘counts’ of particular characteristics or events: – the number of children in a household – the number of times an individual visits a doctor over a 3 month period
Statistical Inference代写 process by which we `infer’ or learn something about the real world by analysing a sample of data statistical inference might include 1 estimating economic parameters, such as elasticities, using econometric methods 2 predicting outcomes, such as future levels of GDP, future level of interest rates 3 testing economic hypotheses, such as: – Is there an inverse relationship between bond prices and yields? – Is there a wage premium for workers living in cities?
Start date and time: 2:00 pm (Melbourne time) on 16th of June 2022. Submission due date and time: 4:30 pm (Melbourne time) on 16th of June 2022. Total number of pages (incl. this cover sheet): 4
类型是案例分析，不会超过四个，难度中等~mid和final套路都很熟悉！
Case study 1 LMVH Corp produces and sells three (3) products: laptop bags, back packs, and handbags. All products produced by LMVH Corp go through two production divisions: Division A and Division B. Details for laptop bags produced by LMVH Corp are as follows:
Variable production overheads amounted $6 per labour hour and the budgeted fixed production overheads amounted to $8 per labour hour. The labour rate in Division B is 50% higher than the labour rate in Division A. Each laptop bag requires 2 labour hours in division A. Variable selling and distribution overheads relating to laptop bags amount to $20 per unit. LMVH Corp aims to produce 1,500 laptop bags per month which would require 30% of the annual practical capacity at both the divisions.
Required (a) Assist LMVH Corp in determining the selling price of laptop bags if the company wishes to generate a contribution equivalent to 60% of capital employed. (b) Determine the full manufacturing cost per unit of laptop bags and prepare an absorption costing income statement for the laptop bags product line of LMVH for the year 2021. For the year 2021, LMVH Corp had no opening stock of laptop bags. 16,800 laptop bags were produced during the year 2021. However, only 15,000 laptop bags were sold during the year 2021 at a selling price as determined by you in requirement (a) above.
Case study 2 West Coast Link Ltd manufactures heating/cooling systems for houses and apartments. It has two support departments: Repairs and Engineering. These two departments directly support the two production departments: Moulding and Assembly. The usage of the two support departments’ output is as follows:
REQUIRED: (a) Allocate the budgeted costs of the two support departments (Repairs and Engineering) to the two manufacturing departments (Moulding and Assembly) using: (i) Direct method (ii) Reciprocal method (b) Compare and explain the main differences between the direct method and the reciprocal method. (c) Which method of cost allocation used in a) above, do you prefer? Explain why. (d) Explain why a manager may prefer that budgeted cost allocation rates be used, rather than actual cost allocation rates, to allocate costs to his or her department from another department.
Case study 3 IMD Ltd manufactures two (2) products ‘P’ and ‘Q’ for computer industry as follows: Product Annual production and sales Selling price per unit P 100,000 units $110.00 Q 50,000 units $150.00
Required (a) Calculate the full cost per unit of ‘P’ and ‘Q’ before the product ‘P’’s redesign proposal was made. (b) Determine the current mark up on full cost per unit of ‘P’ based on your answer to requirement (a) above. Also, determine the target cost per unit for the redesigned product ‘P’ to maintain the same markup percentage on full cost per unit as it had earlier? (c) Evaluate if the new design for product ‘P’ achieves the cost reduction target. Show all calculations in detail.
Consider a company with the following financial information for the financial year ending 2018: • The consensus analyst earnings per share forecasts for the next two years (2019 and 2020) are $4.29 and $4.78, respectively. • In its 2018 annual report, the company reported earnings per share of $3.93, book value per share of $20.15, and dividends per share of $1.06. • Assume that from 2021 to 2023, the company’s earnings per share is expected to grow at 11% relative to 2020. • The dividend payout ratio is expected to remain at its 2018 level. • The cost of equity capital as of 2010 is 10%. • The residual earnings (RE) will grow at 4% annual rate beyond the terminal year Calculate the present value of residual earnings for the next 5 years up to the terminal year (2019-2023). Use up to 2 decimal places
Forecasting implies a “summary” of what we have learned: – Business Analysis – Accounting Analysis – Financial Analysis › Strategy, accounting and financial performance analyses provide valuable information that help to shape forecast assumptions. › Forecasts can be produced by relying on historical patterns,assuming that whatever has already taken place will continue to persist… › Even though this type of forecasting is often described as “driving a car by looking in the back window”, it is often the best we have, and works well when there is enough data and sensible analysis
ECMT6007/ECON4954: Panel Data Econometrics代写assignment
Linear Regression and Treatment Effects OLS, GLS/FGLS Estimators Endogeneity, Identification, IV and 2SLS Estimators for cross sectional data for panel data Panel Data Models with Fixed Effects or with Random Effects Pooled OLS and LSDV Estimators First Difference Estimator
Fixed-effect (FE/Within) Estimator Between Estimator Random-effect (RE) Estimator Hypothesis Testing with Panels Choice among estimators Natural Experiments and Difference in Differences (DID) Estimation
Panel Data Models with Two-way Error Components: LSDV Estimator FE Estimator RE Estimator Hybrid Estimator Panel Data Models with Heterogeneous Coefficients iOLS and SUR Estimators Linear Restrictions in Parameters (LRP) Random Coefficient (RC) Estimator Mean Group (MG) Estimator
Method of Moments (MM) and Generalized Method of Moments (GMM) Dynamic Linear Panel Data Models Anderson-Hsiao IV estimator Arellano-Bond GMM Estimator Simultaneous Equations Models for Panel Data FD-2SLS FE-2SLS Discrete Choice Models for Panel Data Panel Probit with Random Effects Panel Logit with Fixed-effects
Overview of Panel Data Econometrics Variety of Applications Return to Education using Season of Birth as IV Politics, Police and Criminals (IV/2SLS) Institutions and Economic Growth (IV/2SLS) Effect of Unemployment Rates on Crime Rates (FD) Effect of Alcohol Tax on Traffic Fatality Rates (FE, RE) Effect of Minimum Wage Increase on Employment (DID) Effect of Information on Sales (DID) Return to Education using Twins Data Effect of Tobacco Control Program (Synthetic Control) Estimating Demand for Cigarettes (SUR, RC) Estimating Banking Production Function (Dynamic) Deterrence Effect of Prison Overcrowding on Crimes (FD-2SLS) Estimating Demand Function for Airline Travel (FE-2SLS) Effect of Job Training (Logit, Probit) Determinant of Poverty (Panel Probit with RE, Panel Logit with FE)
Reading Time: 15 minutes – no writing or annotating allowed anywhere Writing time: 180 minutes机械工程专业咨询，课程辅导，助您不再emo
Examination (open book) – June 2022
QUESTION 1 You are hardening a very thick plate of bcc Fe by increasing the carbon content in its surface layer. The plate is heated to a set temperature and kept for a set period of time in the presence of a C-rich gas (e.g., methane) which maintains a constant C concentration at the surface (this is the original treatment). Schematically draw the C concentration profile (i.e., the C concentration as a function of the distance from the surface) at the end of the treatment. Where will the greatest diffusion flux be found and where the smallest (you are required to justify)? The thickness of the hardened layer is defined as the distance from the surface within which the C concentration is above a set value. How to double the thickness of the hardened layer achieved by the original treatment if the set temperature is not to be changed (you are required to show details of your calculation/reasoning)? Add the corresponding C concentration profile in the original diagram with the set C value and the thicknesses of the hardened layer in the two treatments clearly marked. In another case, the original set time is not to be changed but the temperature can be set at a different value. Estimate the new set temperature to achieve tripling of the original hardened layer thickness if the set temperature in the original treatment is 600 °C. Hint: Your estimation should be based on the figure below, showing a plot of the logarithm of the diffusion coefficient versus reciprocal of absolute temperature for a number of diffusion systems.
QUESTION 3 Referring to the Pb-Sn phase diagram below, for an alloy of Pb-30 wt% Sn, calculate the amount of liquid following equilibrium cooling from 300 °C to just reaching the eutectic temperature. If the total amount of the alloy is 100 g, how many grams of Sn are in the solid phase at this moment? For an alloy of Pb-15 wt% Sn, sketch the microstructure following equilibrium cooling from 300 °C to room temperature? Under non-equilibrium cooling, however, eutectic structure has been observed in the microstructure at room temperature. Explain why (you may draw on the diagram).
QUESTION 6 For engineering alloys, what are the most common strengthening mechanisms? Which metallic alloy shows the highest yield strength? (Hint: Consult the various tables for Al, Ti, Fe and Ni alloys.) (3 marks) QUESTION 7 (a) Plot two fcc unit cells for anions. Identify a tetrahedral interstitial site in one and an octahedral site in the other. Identify two adjacent layers of (111) planes in each to show that the two types of interstitial sites are formed between them. Why can it be said that the interstitial structures in the fcc and hcp structures are the same? (4 marks)
Cite the phases that are present and the phase compositions for the following alloys: (a) 15 wt% Sn – 85 wt% Pb at 100°C. (b) 25 wt% Pb – 75 wt% Mg at 425°C. (c) 85 wt% Ag – 15 wt% Cu at 800°C. (d) 55 wt% Zn – 45 wt% Cu at 600°C. (e) 1.25 kg Sn and 14 kg Pb at 200°C.
