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    Math116 Appendix E

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    Use a math editor (Equation Editor or MathType) to write all math text to insure proper formatting of work and answers. |# | |Show your Work using a math editor and state Final Answer |- pts |+ pts | |1 |Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up | |0 |0 | | |the gas tank with g gallons. Given the equation: [pic]

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    Projectile Motion

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    projectile‚ which means that the acceleration in vertical projectile motion is equal to gravity’s acceleration (9.8m/s2). Some equations for projectile motion are the three kinematic equations‚ the equation for Vx (Vx = ∆x/∆t)‚ and the equation for time (∆t = 2∆y/g). The purpose of this lab was to get a projectile falling off a ramp on a table to land in a cup by using equations that are related to projectile motion. The hypothesis was that if all the calculations were correct (based on the horizontal

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    EE3114 Lab Report

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    Systems and Control Experiement 1 Title: System Dynamics and Behavior Objectives: Dynamic systems like dc-servomotors‚ financial systems‚ logistic models‚ internet systems and eco-systems can be described by a set of coupled differential equations. Based on this model‚ one can study the behavior of such a system under various external factors such as initial conditions‚ variables’ interrelation changes‚ stead state responses and stability issues. In this experiment‚ a simple Loika-Volterra

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    (DiGiuseppe 420). In a chemical equilibrium‚ the point where the concentrations of the products and reactants are constant is called the equilibrium position. This can be mathematically described in an equilibrium law. It is further defined in the equation by a value called the equilibrium constant‚ Kc (DiGiuseppe 421).

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    Differentiation summary

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    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  xC 2. Substitution Use the substitution v  x  y to find the general solution of the differential equation dy

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    2002:16(a) 1 (b) Outline a procedure to compare the reactivity of this alkene with its corresponding alkane. 2002:16(b) 2 (c) Describe the results obtained from this first-hand investigation and include relevant chemical equations. 2002:16(c) 3 3 Explain why alkanes and their corresponding alkenes have similar physical properties‚ but very different chemical properties. 2002:17 3 4 Which polymer is made by the polymerisation of methyl methacrylate? CH3 H2C=

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    differential form curl B = J. This was later modified to add a second term when it was incorporated into Maxwell’s equations. Archimedes’ Principle A body that is submerged in a fluid is buoyed up by a force equal in magnitude to the weight of the fluid that is displaced‚ and directed upward along a line through the center of gravity of the displaced fluid. Bernoulli’s Equation In an irrotational fluid‚ the sum of the static pressure‚ the weight of the fluid per unit mass times the height

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    Mathmetical Economics

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    fraction of excess demand‚ find out the time path of price and also the intertemporal equilibrium price. (6) b)[pic]Solve the following exact differential equation: [pic] (3) c) Using Bernoulli Linearization‚ solve the following differential equation: [pic] (3) d) Using the same equation‚ see whether the separable variable method gives the same result or not. (3) e) Solve the following first order linear and verify its result: dy/dx+7y=7 where

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    r r ∂D Jd = ∂t MAXWELL’S EQUATIONS These four fundamental equations of electromagnetics on the basis of three separate experimentally established facts‚ namely‚ Coulomb’s law‚ Ampere’s law (or the Biot-Savart law)‚ Faraday’s law‚ and the principle of conservation of electric charge. The validity of Maxwell’s equations is based on their consistency with all of our experimental knowledge to date concerning electromagnetic phenomena. The physical meaning of the equations is better perceived in the

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    Purpose: To find number of moles of Fe+3 which react with one mole of NH3OH+ in order to partially balance the equation: NH3OH+ + 2Fe+3 "" ? + 2Fe+2 and to find the missing product. Procedure: H2C2O4 and H2SO4 were titrated with potassium permanganate. The molarity of the permanganate was then found because the molarity of the H2C2O4 and H2SO4 were already known. Then hydroxylammonium chloride and ferric sulfate and water was titrated with known potassium permanganate to get the molarity of the

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