dydx=1+yx solve the ODE Solutiondydx - yx = 1dydx + (-1.pdf

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dy/dx=1+y/x solve the ODE Solution dy/dx - y/x = 1 dy/dx + (-1/x)y = 1 Integrating factor = e^(integral of (-1/x)*dx) IF = e^(integral of -1/x) IF = e^-ln(x) IF = e^ln(1/x) IF = 1/x So, multiply the DE all over by the IF : (1/x) * [dy/dx - y/x = 1] d/dx(y * 1/x) = 1/x Integrating : y*(1/x) = intergal of (1/x) y/x = ln|x| + C y = xln|x| + Cx ---> ANSWER.

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Epidemiological data and operational information about outbreaks is dynamic and changes rapidly. You must develop a comprehensive Event Management System to manage critical information about an outbreak (of your choice) within the Excel program that you have just learned. This is one method to ensure accurate and timely communications between key public health professionals and the community. Choose from any one of the fields below. Features of the data management system you create should include: Solution Case Management- Businesses and agencies in long-term relationships with their customers, citizens or subscribers will be judged by the accuracy of the records they hold, the consistency of the communications that take place, and the speed, efficiency and fairness with which each case, claim or contract is processed. Delivery of customer service against these priorities has never been more challenging. Customers are more mobile in their addresses, jobs and family relationships. Communications channels seem to multiply overnight, with customers switching between them at will. Corporate messaging demands multi-channel distribution with increasing amounts of personalization. Mergers and acquisitions create multiple silos of customer-related data to be seamlessly joined. And products, business rules and government regulations change with alarming frequency. Against this backdrop, the demands on the IT systems to support smooth, efficient and integrated delivery are considerable, particularly where case-orientated transactions are involved. Emergency Response- Environmental emergencies are incidents or events that threaten public safety, health, and welfare and include hurricanes, floods, wildfires, industrial plant explosions, chemical spills, acts of terrorism, and others. While these events range in size, location, cause, and effect, most have an environmental component. Emergency response is the organizing, coordinating, and directing of available resources in order to respond to the event and bring the emergency under control. The goal of this coordinated response is to protect public health by minimizing the impact of the event on the community and the environment. An emergency response plan must provide the resources and information needed to evaluate the human and environmental health impacts of the event, assess and reduce human exposures to contaminants, and develop science-based strategies for remediation and rebuilding. One example is the immediate response of NIEHS and other government agencies to the devastation and hardship caused by Hurricane Katrina. This included the establishment of a field hospital in Mississippi to meet the immediate health needs of the hurricane victims, as well as the development of a Geographic Information System to plot the locations of chemical plants, refineries, Superfund clean-up sites, and other potential hot spots of contamination where flooding occurred. Safe Drinking Water- There are many types o.

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Eachibit 14.1 Sources of Income for the Average Retiree Socia Security is the single largest source of income for the average U.S. retiree. This source alone is larger than the amount the average retiree receives from pension plans and personal wealth/investment assets combined. Percentage distribution of sources of income for married couples and nonmarried people who are age 65 and over, 1962-2010 Percent Percent 100 90 80 70 60 100 90 80 70 60 50 40 30 20 10 Other 10 16 Earnings 29 28 Pensions 12 Asset income 15 40 20 Social Security 31 34 10 1962 1967 1976 1980 1990 2000 2010 Note: A married couple is age 65 and over if the husband is age 65 and over or the husband is younger than age 55 and the wife is age 65 and over. The definition of other\" includes, but is not limited to, public assistance, unemployment compensation, worker\'s compensation, alimony, child support, and personal contributions. Reference populationt Thesedata refer tothe civilian noninstitutionalized population. Solution Answer: Current expenses = $75,000 Current income = $55,000 Expenses afetr 20 year $93,750.00 Income after 20 year 176392.451 surplus in 20 years = $82,642.45.

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Emulsified water is generally present in crude oil as a result of mixing occurring during production operations. The formation of emulsion leads to problems in production and also transportation. Therefore the need to break oil/water emulsions system through demulsification process using chemical surfactants for improved oil recovery operations. Selected cationic and anionic surfactants were found to be effective in separating oil-water emulsions expected during a surfactant/polymer (SP) process for improved oil recovery. Describe in detail the various factors that contribute to crude oil emulsion stability. What are the various methods that could be adopted to destabilize the crude oil emulsions? Identify conditions at which one method will be more effective that the other. Is there a condition at which none of the destabilization methods will work for crude oils? If so, please identify. Solution (A) various factors contributing to the stability of crude oil emulsion are as follows:- 1.Heavy polar fraction in crude oil:- Naturally occurring emulsifiers are concentrated in the higher-boiling polar fraction of the crude oil.These include: These compounds are the main constituents of the interfacial films surrounding the water droplets that give emulsions their stability. 2.PRESENCE OF SOLIDS Fine solid particles present in the crude oil are capable of effectively stabilizing emulsions. The effectiveness of these solids in stabilizing emulsions depends on factors such as- 3. TEMPERATURE Temperature can affect emulsion stability significantly. Temperature affects the physical properties of oil, water, interfacial films, and surfactant solubilities in the oil and water phases. These, in turn, affect the stability of the emulsion. Perhaps the most important effect of temperature is on the viscosity of emulsions because viscosity decreases with increasing temperatures.The effect of temperature on crude oil/water interfacial films was studied in some detail by Jones et al who showed that an increase in temperature led to a gradual destabilization of the crude oil/water interfacial films. However, even at higher temperatures, a kinetic barrier to drop coalescence still exists. 4.DROPLET SIZE Emulsion droplet sizes can range from less than a micron to more than 50 microns. Fig. 5 in Oil emulsions shows the typical droplet-size distributions for water-in-crude oil emulsion.Emulsions that have smaller size droplets will generally be more stable. For water separation, drops must coalesce—and the smaller the drops, the greater the time to separate. The droplet-size distribution affects emulsion viscosity because it is higher when droplets are smaller. Emulsion viscosity is also higher when the droplet-size distribution is narrow . 5.pH The pH of water has a strong influence on emulsion stability. The stabilizing, rigid emulsion film contains: Adding inorganic acids and bases strongly influences their ionization in the interfacial films and radically chang.

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Elizabeth wants to accumulate dollar 12,000 by the end of 5 years. If the annual interest rate is 7%, how much will she have to invest today to achieve her goal? A certain bond pays dollar 60 of coupon interest annually, and has a face value of dollar 1,000. What is the coupon rate of the bond? Solution 1. PV= Fv/(1+i) )^n =12,000/(1+7%) ^5 =12000/1.4025 = $8556.14 2. Coupon Rate of the bond = annual pay/ bond face value = $60/$1000 = 0.06= 6%.

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Economics (Multinational firms. FDI Question 2: Balancing macroeconomic environment is one of the most important aspects for a host government. Comment on the roles of fiscal measures (e.g. corporate income taxes and import tariffs) monetary and exchange rate policies on inward FDI inflows. Solution INRODUCTION The growth of private forign direct investment in the developing world has been extremely rapid in decent years.MNC\'s are not in the development busines.Thier objective is to maximize their return on the capital.They seek out best profit opportunities.MNC\'s carry with them technologies of production,tastes and styles of living ,managerial philosophies and diverse business practices.Although globally,FDI peaked in 2000 but fell aftermath of the 9/11 terrorist attcks,FDI has been rebonded for several years. MNC\'s underatke five different forms in the under developed countries. 1. Branches in the different nations 2. Subsidiaries 3. Joint-venture companies 4. Franchise holders 5. Turn Key projects There has been rapid expansion of the activities of MNC\'s.The situation of today (2014- 2015),with WTO came into being.Now rougly 5-6 lakhs MNC\'S are operating in one form or the other across the world.The focus of the MNC\'s is basically on the primary countries and the extractive industries. Macroeconomic poilcy of a host country creates both problems and opprtunities for international firms. FICAL POLICY MEASURES 1. Investment incentives: There are two kinds of investment incentives a. Fiscal incentives: policies that are designed to reduce tax burden of a firm.It includes tax concessions in the form of reduced corporate income tax, exemption from improt duties etc. b. Financial incentives: They are direct contribution to firm by the government. It includes subsidised loans,loan guarantees, governmnet insurance at preferential rates. 2. Removal of Restrictions: Various forms of restrictions were applied to FDI in the developing countries in the pre liberalised era.Example:allowing only a fixed percentage of foreign owned capital in an enterprise,restrictions on reimbursement of capital upon liquidation.However in the WTO regime, due to enforcement of TRIMS(Trade related Investment Measures) many of these restrictions have now been withdrawn.The types of restrictions realted to FDI has been greatly liberalised. For example: large number of countries in Asia do not require investment approvals or licensing except for few sectors that are closed to FDI(mainly for security reasons). 2. MONETARY POLICY a. Funds originating in advanced economies dominate capital inflows to large emerging economies.These flows are influenced by advanced economic policies including monetary policy.The developments in financial markets have extended the role of large cross border financial intermediaries and liquidity ceating instruments in global capital flows. b. Other policy measures inclues careful monitoring of systematic non bank financial instructions with.

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During the night shift in an A&E; department (10 pm to 6 am) patients arrived at depart enl requiring emergency treatment. The arrival of emergencies may be modeled as a non- homogeneous Poisson process with hourly rate lambda (f) = 2t / 1 + t2, 0 f 8, where t is the elapsed time in hours since 10pm Find the expected number of emergency admissions by f hours after 10pm. log(1 + t2) logt3 log(l + t3) log(l + t) Solution take integration : log(1 + t*t) answer.

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During the month of February, Morrisey Corporation\'s employees earned wages of $108,410. withholdings related to these wages were $8,293 for social security (FICA),$10,402 for fedral income tax , and $2,784 for state income tax. Costs incurred for unemployment taxes were $161 for federal and $234 for state. prepare the febrauary 28 journal entries for salaries and wages expenses and salaries and wages payable assuming that all Febrauray wages will be paid in march The company\' payroll tax expenses. Solution Feb.28 Account heads Debit Credit 1. Salaries and Wages Expenses 108410 FICA Taxes Payable 8293 Federal Income Tax Payable 10402 State Income tax Payable 2784 Salaries and Wages Payable 89715 FICA Taxes Payable 8293 Federal Income Tax Payable 10402 State Income tax Payable 2784 Federal unemployment Tax 161 State unemploynent Tax 234 Pay-roll tax expenses remittable 21479 Cash(161+234) 395.

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