A velocity field is defined by V = ui + vj, where: u(x, y, t) = x²y exp(-3t/T) v(x, y, t) = y²x exp(-2t/T) And T is the time constant. • Determine the relationship between x and y for the streamline passing through the point (2,3) at t=0. • Find an expression for the component of acceleration in x-direction at t=0 and t= T.
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.FC.51 Madison Memorial Hopsital is considering purchasing a new ambulance. The decision will rest partly on the anticipated mileage to be driven this year (2023). The miles driven during the past eight years are as follows: Year Miles Driven 2015 2016 2017 2018 2019 2020 2021 2022 3,240 1,211 3,208 3,253 2,169 2,224 1,162 1,074 Using a 4-year moving average, what would be the forecast for the miles to be driven in 2023? (Display your answer to the nearest whole number.) Number Using a 4-year weighted moving average (with last year's weight as 0.5, two years previous as 0.2; three years previous as 0.2, and four years previous as 0.1) what is the forecast for 2023? (Display your answer to the nearest whole number.) Numbertyping
- Water entering the curved pipe at A is discharged at D. The pipe is rotating about A at the constant angular velocity omega=7 rad/s, and the water has a constant speed of v=19 m/s relative to the pipe. Now fill in the blanks below with correct numbers. Αγω သ B 0.54 m r = 0.18 m The magnitude of acceleration of the water just before it is discharged at D= m/s^2 0.30 mdo not use handwritten diagramChart and Regression analysis : What does the intercept predict? X: C16 (number of cars on the sales lot) versus Y: C17 (cars sold per day) Equation: y=2.9x + 14.5 Slope:2.9 Intercept:14.5 Does the intercept mean the intercept is 14.5 means that the cars sold per day( Y) predicted number of cars on sale lot(X) to be 14.5, but this intercept has no meaning. So, I will not use to predict cars sold per day?
- YEAR 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 ARRIVAL ('000) 35.5 28 30.3 36 49.5 56 72.4 71 79.3 96 DELAYED RATE 4.2 3.8 3.8 3.5 4.6 4.5 4.6 4.6 4.7 4.5 A marketing analyst for Rockstar Travel Company. He wants to analyze the trend of international tourist arrival in KL by using international tourist arrival rate and flight delayed rate over the past 10 years. Propose ONE (1) forecasting model that can be used by Alvin. Why would you proposed that particular model? Develop the forecasting model that you suggest in (i). Briefly explain your model.12.2. The manager of the I-85 Carpet Outlet needs to be able to forecast accurately the demand for Soft Shag carpet (its biggest seller). If the manager does not order enough carpet from the carpet mill, customers will buy their carpets from one of the outlet’s many competitors. The manager has collected the following demand data for the past eight months: Month Demand for Soft Shag Carpet (1000 yd)1 52 103 64 85 146 107 98 12 a. Compute a three-month moving average forecast for months 4 through 9. b. Compute a weighted three-month moving average forecast for months 4 through 9. Assign weights of .55, .33, and .12 to the months in sequence, starting with…In the past, Peter Kelle's tire dealership in BatonRouge sold an average of I ,000 radials each year. In the past2 years, 200 and 250, respectively, were sold in fa ll, 350 and 300 inCHAPTER 4 FORECASTING 149winter, ISO and 165 in spring, and 300 and 285 in summer. With amajor expansion planned, Kelle projects sales next year to increaseto I ,200 radials. What will be the demand during each season? ~(Mylab Operations Management also includes a shorter (brief)version of this problem.)
- Which methods to use depends on the type of variable(s) being analyzed..A 45 kW rated solar power system has its power output and the Solar irradiance on the PV system measured during daylight hours over a day. Based on the following data, create a scatter plot of the power output of the PV system vs the solar irradiance and comment on the relationship between the two. Based on the data, can you tell which season this day was in? Solar Irradiance on the PV system (kW/m²) 0 0.079 0.333 0.571 0.751 0.86 0.914 0.93 0.904 0.803 0.606 0.345 0.054 Power output from the PV system (kW) 0 3.098 12.438 20.124 25.703 28.498 29.587 29.69 28.798 26.264 20.434 12.223 2Discuss what we mean by multipole moments.