Accounting is founded on the basic equation that states a company’s Assets equal their total Liabilities plus their total Owner’s Equity . This equation is summarized as ALOE . This isthe basis of the Balance Sheet.Assets are the company’s furniture‚ fixtures and equipment‚ physical property‚ intellectual property and other resources. These properties include the physical land as well as the equipmentand building improvements on the property.A company’s liabilities
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DIFFERENTIAL EQUATIONS 2.1 Separable Variables 2.2 Exact Equations 2.2.1 Equations Reducible to Exact Form. 2.3 Linear Equations 4. Solutions by Substitutions 2.4.1 Homogenous Equations 2.4.2 Bernoulli’s Equation 2.5 Exercises In this chapter we describe procedures for solving 4 types of differential equations of first order‚ namely‚ the class of differential equations of first order where variables x and y can be separated‚ the class of exact equations (equation
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MULTIPLE REGRESSION After completing this chapter‚ you should be able to: understand model building using multiple regression analysis apply multiple regression analysis to business decision-making situations analyze and interpret the computer output for a multiple regression model test the significance of the independent variables in a multiple regression model use variable transformations to model nonlinear relationships recognize potential problems in multiple
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S CHOOL OF M ATHEMATICS ‚ S TATISTICS AND O PERATIONS R ESEARCH STAT 392 Tutorial – Ratio and Regression Estimation 1. Regression Estimation (from Lohr‚ Ex 3.6.4) Foresters want to estimate the average age of tress in a stand. Determining age is cumbersome because one needs to count the tree rings on a core taken from the tree. In general‚ though‚ the older the tree‚ the larger the diameter‚ and diameter is easy to measure. The foresters measure the diameter of all 1132 tress and find that
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MATH 231: Basic Statistics Homework #5 – Correlation and Regression: 1). Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in New England. The general sales manager aired a commercial for a digital camera on selected local TV stations prior ro a sale starting on Saturday and ending on Sunday. She obtained the information for Saturday-Sunday digital camera sales at the various outlets and paired it with the number of times the advertisement was shown on local TV stations
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Physical Optics UNIT -I Chapter-1 One Dimensional Wave Equation Introduction Wave equation in one dimension Chapter-2 Three Dimensional Wave Equation Total energy of a vibrating particle Superposition of two waves acting along the same line Graphical methods of adding disturbances of the same frequency Chapter – 1 Introduction: The branch of Physics based on the wave concept of light is called ‘Wave Optics’ or ‘Physical Optics’. Mathematical representation of
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as; - compounds if ionic - molecules if covalent We can use Ar’s to calculate the ‘average mass of ONE unit of a substance’ this is called the Mr (see also topic 9) E.g. Calculate the Mr for sodium carbonate 3Na2CO3. Ar (Na) = 23 Ar (C) = 12 Ar (O) = 16 The number 3 in front of the formula has been ignored because by definition Mr is the mass of ONE unit of a substance whether the substance is ionic or covalent. Molar mass This is the mass of one mole of a substance (see later)
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the combustion of ethanol to provide energy for a small explosion. The chemical equation that describes the combustion of ethanol is shown below. (Note: Hover over the equations in this Introduction with your cursor to view enlarged formulas.) Equation 1: C2H6O+3O2→3H2O+2CO2+heat Ethanol: C2H6O Oxygen: 3O2 Water: H2O Carbon dioxide: CO2 The chemical equation states that ethanol (C2H6O)
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ME 381 Mechanical and Aerospace Control Systems Dr. Robert G. Landers State Equation Solution State Equation Solution Dr. Robert G. Landers Unforced Response 2 The state equation for an unforced dynamic system is Assume the solution is x ( t ) = e At x ( 0 ) The derivative of eAt with respect to time is d ( e At ) dt Checking the solution x ( t ) = Ax ( t ) = Ae At x ( t ) = Ax ( t ) ⇒ Ae At x ( 0 ) = Ae At x ( 0 ) Letting Φ(t) = eAt‚ the solution
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Calorimetry Equations Monday‚ October 28‚ 2013 12:00 PM TOOL BOX q=mc∆T Water sp. Heat Calorimetry : the measurement of energy (calorie) Calorimeter : tool used to measure energy by Measuring the change in temperature Equation : q=mc∆T What is the difference between Calorimetry and Calorimeter? Quantity of Energy (Cal.) Mass (g) Specific heat (given) (Cal/g) Change in temperature (℃ ) (End-short) What is the dance that we learned
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