Chapter 9: Differential Equations Solving Differential Equations: 1. Direct Integration Differential Equation Solution dy f x dx y f x dx C dy f y dx 1 dy f y dx 1 f y dy 1 f y dy d2 y f x dx 2 1 1 dx dy dx F x C y f x dx C F x C dx G x Cx D xC 2. Substitution Use the substitution v x y to find the general solution of the differential
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To find the equation of the tangent: EITHER: y = mx + c y = 3x + c Substitute x = 0‚ y = -2: -2 = 3(0) + c i.e. c = -2. So equation is y = 3x - 2 OR: where m = 3 Substitute x = 0‚ y = -2: i.e. y = 3x - 2 Applications of Differentiation Recall: A turning point is a maximum if A turning point is a minimum if . Example: Find the equation of the normal to the curve at the point where x = 4. Solution: The curve can be written as Therefore‚ When x = 4‚ and
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Airlines Differentiation In the world of airlines there is a huge market for varies airlines that offer different services to the customers to gain the competitive advantage. In the following article we will outline the differences between airlines like: “Emirates airline”‚ “Qatar” and “Air Arabia”. Those airlines will mainly differ in following criteria’s: • Price is one of the most important differences that airlines would have among each other. Looking at Emirates that has competitive
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organizational processes that must be in place for differentiation of employees to be equitable and productive. Introduction Differentiation is one of the topics discuss by Jack Welch that is really polarizing. Some people love it‚ use it in their organizations and discuss it as the root of their success. Others hate it; using all kinds of epithets and going as far as describing it as “cruel and Darwinian” . There is no question differentiation is a divisive topic. But a lot of the divisiveness
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Product Differentiation Definition: Development or incorporation of attributes (such as benefits‚ price‚ quality‚ styling‚ service‚ etc.) that a product’s intended customers perceive to be different and desirable. Advertising and promotion of a product is based on its differentiating characteristics. Source: http://www.businessdictionary.com/definition/product-differentiation.html Today‚ the market is crowded with similar brands‚ clamoring for the attention of customers. In order for their
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Differentiation tools There are a lot of different differentiation tools that a company can use. These differentiation tools are used to distinguish yourself from other company’s. Company’s can make use for example product differentiation‚ service differentiation‚ personnel differentiation‚ image differentiation and channel differentiation. Product differentiation: This is the product of a company. Company’s can vary there products very much here. For example you can vary in shapes‚ but
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PRODUCT DIFFERENTIATION AND MARKET SEGMENTATION AS ALTERNATIVE MARKETING STRATEGIES WENDELL R. SMITH Alderson & Sessions decade the 1930’s‚ the work of D URING theRobinsonofand ofChamberlin resulted in a revitalization economic theory. While classical and neoclassical theory provided a useful framework for economic analysis‚ the theories of perfect competition and pure monopoly had become inadequate as explanations of the contemporary business scene. The theory of perfect competition assumes homogeneity
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Product differentiation is a marketing strategy that creates differences from other competiting products by focusing on its unique characteristics and features. The organizations target one market segment or the entire market by using this strategy. (Cravens‚ p110) The coca cola company has introduced Coke Zero as new product and focused to make it different from other products. The company has introduced Coke Zero to compete Pepsi Max and has become the most successful product in the history of
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This strategy is developing new IT features to differentiate products and services. It also use IT features to reduce the differentiation advantage of competitors and to focus products and services at selected market niches. In 1971‚ FedEx began to offer overnight package delivery by air. At that time‚ Fred Smith found that U.S. Postal Service and United Parcel Service (UPS) also taking several days to deliver packages. Therefore‚ Smith started the overnight delivery and he charges higher prices
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1. Show that the points (0‚ 0) and on the curve e(x + y) = cos (xy) have a common tangent. (Total 7 marks) 2. The curve C has equation y = . (a) Find the coordinates of the points on C at which = 0. (4) (b) The tangent to C at the point P(1‚ 2) cuts the x-axis at the point T. Determine the coordinates of T. (4) (c) The normal to C at the point P cuts the y-axis at the point N. Find the area of triangle PTN. (7) (Total 15 marks) 3. The function f is defined by f(x) =
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