Application of linear functions in Economics (or) Application of straight lines in Economics The linear function is one in which ‘y’ is the first degree expression in ‘x’‚ i.e.‚ y = ax + b. The graph of this function is a straight line. The co-efficient of x represents the slope of the line. If a > 0‚ then the lines are upward sloping‚ and if a < 0‚ then the lines are downward sloping Let us explain certain linear equations used in Economics and business. 1. Linear cost curves
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Differential Equations Second Order Differential Equations Introduction In the previous chapter we looked at first order differential equations. In this chapter we will move on to second order differential equations. Just as we did in the last chapter we will look at some special cases of second order differential equations that we can solve. Unlike the previous chapter however‚ we are going to have to be even more restrictive as to the kinds of differential equations that we’ll look at
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Immanuel Kant’s moral theory can be best explained by comparing it to a math equation. Kant’s moral system will always hold true no matter what the circumstance just like how two plus two will always equal four. According to Kant‚ our lives should be lived according to maxims that can be willed into universal law (Kant‚ Fundamental Principles of the Metaphysic of Morals‚ p 303). However the action regarding a moral decision is not judged by the consequences of that action‚ rather by the motive
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Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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Coefficient of Linear Expansion Introduction With few exceptions materials expand somewhat when heated through a temperature range that does not produce a change in phase (i.e. melting‚ freezing‚ boiling etc.). The added heat increases the average amplitude of vibration of the atoms in the material‚ which increases the average separation between the atoms. Although this effect is small‚ it is very important in any application that involves using different materials in an environment where they
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Elements of Information Theory Thomas M. Cover‚ Joy A. Thomas Copyright 1991 John Wiley & Sons‚ Inc. Print ISBN 0-471-06259-6 Online ISBN 0-471-20061-1 Elements of Information Theory Elements of Information Theory Thomas M. Cover‚ Joy A. Thomas Copyright 1991 John Wiley & Sons‚ Inc. Print ISBN 0-471-06259-6 Online ISBN 0-471-20061-1 WILEY SERIES IN TELECOMMUNICATIONS Donald L. Schilling‚ Editor City College of New York Digital Telephony‚ 2nd Edition John Bellamy Elements of
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of $1‚000 30-May Smith paid dividends to himself of $1‚400 Requirements: 1 Enter the transactions for May into the accounting equation‚ calculating new balances after each entry. Assets = Liabilities + Stockholders’ Equity Cash + Accounts receivable + Supplies + Equipment Accounts payable Common stock + Service revenue - Salaries expense - Rent
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This article considers the relationship between two variables in two ways: (1) by using regression analysis and (2) by computing the correlation coefficient. By using the regression model‚ we can evaluate the magnitude of change in one variable due to a certain change in another variable. For example‚ an economist can estimate the amount of change in food expenditure due to a certain change in the income of a household by using the regression model. A sociologist may want to estimate the increase
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RHA; same trend for LL and PL. The Linear Shrinkage (LS) decreases as the RHA content increases‚ enhancing the volume stability of the soil. The results obtained from the researches’ work are shown below in Figure 2.7. Figure 2.7: Variation of OMC‚ LL‚ PL‚ PI‚ and LS with RHA content Roy (2014) conducted a research on the soil stabilization using RHA and cement‚ using the soil sample from Burdwan‚ India by disturbed sampling method. The CBR value obtained from the experiment is to evaluate the
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Week One Exercise Assignment Basic Accounting Equations 1. Recognition of normal balances The following items appeared in the accounting records of Triguero ’s‚ a retail music store that also sponsors concerts. Classify each of the items as an asset‚ liability; revenue; or expense from the company ’s viewpoint. Also indicate the normal account balance of each item. a. Amounts paid to a mall for rent. b. Amounts to be paid in 10 days to suppliers. c. A new fax machine purchased for
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