Ordinary Differential Equations [FDM 1023] Chapter 1 Introduction to Ordinary Differential Equations Chapter 1: Introduction to Differential Equations Overview 1.1. Definitions 1.2. Classification of Solutions 1.3. Initial and Boundary Value Problems 1.1. Definitions Learning Outcomes At the end of the section‚ you should be able to: 1) Define a differential equation 2) Classify differential equations by type‚ order and linearity Recall Dependent and Independent
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1. IntroductionPensonic Company Pensonic is one of the most successful trading companies in Penang‚ Malaysia that sells a wide variety of electrical appliances. In addition to its own brand “Pensonic”‚ the company also owns the German brand “Lebensstil Kollektion” and owns the sole-distribution rights for the Dutch brand “Princess” in Malaysia. Pensonic also established a mass production hub and international distribution network of electrical home mechanism and an international distribution network
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year is higher. Divested the non-core business activities‚ consolidated functions and reduced head count of the company Opportunity: Consolidation and reduction of head count provides an opportunity to lower expenses and boost profits. Divesting business operations provides additional cash flow to the firm. This particular cash flow can be disguised as a part of income and the divestitures can be recognized as losses. Asset-write offs also means that business circumstances are unfavorable and save
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HISTORY OF ACCOUNTING LEARNING OUTCOMES Understand the history of accounting dating from prehistoric times to written record keeping. Identify the seven preconditions for the emergence of systematic book keeping. Know Luca Pacioll contributions in introducing double entry book keeping. Accounting is a tool‚ invented by humankind‚ to fulfill needs of society. Unlike the explorers of the past who discovered new lands‚ accounting cannot in any true sense be said to have been discovered
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Quadratic Equations Equations Quadratic MODULE - I Algebra 2 Notes QUADRATIC EQUATIONS Recall that an algebraic equation of the second degree is written in general form as ax 2 + bx + c = 0‚ a ≠ 0 It is called a quadratic equation in x. The coefficient ‘a’ is the first or leading coefficient‚ ‘b’ is the second or middle coefficient and ‘c’ is the constant term (or third coefficient). For example‚ 7x² + 2x + 5 = 0‚ 5 1 x² + x + 1 = 0‚ 2 2 1 = 0‚ 2 x² + 7x = 0‚ are all
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1. What are the three golden rules of accounting? Real Accounting: Dr - What comes in Cr - What goes out Examples of this kind of transaction include cash/bank and rent. Personal Accounting: Debit is the receiver. Credit is the giver. An example of this kind of transaction is Vendor/Customer relations. Nominal Accounting: All gains and income are credit. All losses and expenses are debit. An example of this kind of transaction is sales and/or purchases. 2.Balance Sheet DEFINITION OF
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Scranton Engineers Club. This formula is given as Where σp is pillar strength‚ σ1 is uniaxial compressive strength of a cubical specimen (w/h = 1)‚ and w and h are pillar dimensions. According to Obert and Duvall‚ this equation is valid for w/h ratios of 0.25 to 4.0‚ assuming gravity-loading conditions. Through back calculations from mining case histories and utilization of laboratory rock properties‚ safety factors of 2 to 4 were derived for short- and long-term pillar
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before interest and tax (EBIT) 20617 23106 17861 21400 Net Profit 16103 18218 12331 15649 Trend Analysis 2012 2011 2010 2009 Revenue 121.5 121.9 109.7 100 Sales 122.1 120.0 108.5 100 Gross Profit 121.0 117.9 113.4 100 Earnings before interest and tax (EBIT) 121.8 124.8 107.0 100 Net Profit 477.1 666.9 505.9 100 (b) Based on this analysis‚ profits have been increased over the period. 2. Step Two (a) Absolute $000’s figures 2012 2011 2010
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Chapter 2: Strategy Analysis Copyright (c) 2010 South-Western Cengage Learning Chapter 2: Strategy analysis - Palepu‚ Healy & Peek The Importance of Strategy Analysis • Strategy drives the actions of an organization. • Studying a firm’s strategy provides: – An understanding of what drives risks‚ profitability‚ and competitive advantages – A basis for future performance to be forecasted – An idea of how to measure the success of a firm’s actions Copyright (c) 2010 South-Western
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------------------------------------------------- Equations and Problem-Solving * An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance travelled before take-off. ------------------------------------------------- Solutions Given: a = +3.2 m/s2 | t = 32.8 s | vi = 0 m/s | | Find:d = ?? | d = VI*t + 0.5*a*t2 d = (0 m/s)*(32.8 s) + 0.5*(3.20 m/s2)*(32.8 s)2 d = 1720 m ------------------------------------------------- Equations and Problem-Solving
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