CHAPTER 2 FIRST ORDER 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
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Friction Factor - L Length m 2 CALCULATIONS For the sample calculations‚ we looked at the first sample point of the flow in Pipe 1‚ the smallest diameter smooth copper tube: The first step in determining the properties of the flow is finding the density and kinematic viscosity of the water. At 296.51 K‚ water has the following properties1: From this we can determine the bulk velocity of the stream using Equation 1. (Eqn. 1) Where is the flowrate in m3/s and
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Progressive Regression: A brief analysis of the post-Soviet democratization process of Azerbaijan The demise of the Soviet Union of December of 1991 did not only bring an end of the Cold War; it brought over two-hundred and ninety-three million souls spanning over eleven time zones out of the shadows that lurked behind an Iron Curtain. This unprecedented event in modern history gave birth to an era of transition for the fifteen republics that would emerge‚ providing the world with one of the most
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The world consumes nearly 2.5 billion cups of it per day. Farmers depend on it for their livelihoods. It has worked its way up to become the second most traded commodity in the world and become such a big part of the economy. What is it? Something no bigger than the size of a paper clip‚ the coffee bean. Nearly ninety five countries in the world depend on coffee exports for at least half of their exporting revenue. Only countries that have a warm‚ dry climate‚ are about 1‚500 meters above sea
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When the digits are reversed‚ the number is increased by 27. Find the number. 2 ) A passenger jet took three hours to fly 1800 miles in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet’s speed in still air and the jetstream’s speed? 3 ) These circles are identical. What is the value of x ? 4 ) Solve for x using these two equations: 2x + 6 = y; y - x = 2 5 ) The perimeter and the area of this shape are equal. What is the value of x
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Prefixes and Equations 1mL = -1x10 3 L = 0.001L 1 kilometers (1km) = 1000m (1x103 m) 1 kilometer (1KL) = 1000L (1x10 3 L) Prefixes Symbol Numerical Value Scientific Notation Equality Kilo | K | 1000 | 103 | 1km = 1x103m 1m = 1x10-3Km | Mega | M | 1 000 000 | 106 | 1Mg = 1x106g1g = 1x10-6Mg | Giga | G | 1 000 000 000 | 109 | 1Gm = 1x109m1m = 1x10-9Gm | Tera | T | 1 000 000 000 000 | 1012 | 1Ts = 1x1012s1s = 1x10-12Ts | Deci | d | 0.1 | 10-1 | 1dL = 1x10-1L1L = 1x101dL (10dL) | *These
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01 β1 . (c) a change in X by one unit is associated with a β1 100% change in Y. (d) a change in X by one unit is associated with a β1 change in Y. (ii) The interpretation of the slope coefficient in the model ln(Yi ) = β0 + β1 Xi + ui is as follows: (a) a 1% change in X is associated with a β1 % change in Y. (b) a change in X by one unit is associated with a 100β1 % change in Y. (c) a 1% change in X is associated with a change in Y of 0.01β1 . (d) a change in X by one unit is associated with a β1
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NORMAL LEVEL-TWO ULTRASOUND SCAN Ultrasound examination during should include a systematic evaluation of fetal anatomy. Apart from anencephaly‚ the fetal organs cannot be accurately measured before 17-18 weeks of gestation. After 30-35 weeks‚ evaluation becomes increasingly difficult. Hence level-two ultrasound scan is done at 18 to 20 weeks of gestation. CLASSIFICATION OF FETAL SONOGRAPHIC EXAMINATIONS 1. First-Trimester Ultrasound 2. Standard Second- or Third-Trimester Ultrasound
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professional ethics‚ values and standards Behave with integrity and objectivity e.g. act independently and avoid any conflict of interest Maintain professional competence‚ confidentiality and due care | 2 Contribute to the effective governance of an organisation | Respond to requests for information from senior management and/or decision making bodies Provide information on developments external to organisations e.g. economic‚ environmental or legislative Help to ensure that meetings in your organisation
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Table 1 showed the empirical results of microfinance and poverty reduction through the Tobit regression method of analysis. For this study to evaluate the influence of microfinance on the poverty reduction‚ Tobit regression model was regressed on the poverty reduction‚ on the key variables in this study. These include micro-credit‚ age‚ household size‚ qualification‚ nature of business‚ duration of membership and village type. In this model‚ poverty reduction is a dummy and is considered as the dependent
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