6 Systems Represented by Differential and Difference Equations Recommended Problems P6.1 Suppose that y 1(t) and y 2(t) both satisfy the homogeneous linear constant-coeffi cient differential equation (LCCDE) dy(t) + ay(t) = 0 dt Show that y 3 (t) = ayi(t) + 3y2 (t)‚ where a and # are any two constants‚ is also a solution to the homogeneous LCCDE. P6.2 In this problem‚ we consider the homogeneous LCCDE d 2yt + 3 dy(t) + 2y(t) = 0 dt 2 dt (P6.2-1) (a) Assume that a solution to
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three main factors in how well a fad will do. The first is who is exhibiting the fad. Secondly‚ how easy the fad is for the populous to duplicate. Last is the change in the environment the fad makes. These three factors are the reason why some fads‚ such as the buzz surrounding the airplane‚ sweep the nation like a virus and others die out within days. One of the most popular ways a fad can get started is by having important people exhibit it. Famous people are often emulated so when they do significant
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Equations of State (EoS) Equations of State • From molecular considerations‚ identify which intermolecular interactions are significant (including estimating relative strengths of dipole moments‚ polarizability‚ etc.) • Apply simple rules for calculating P‚ v‚ or T ◦ Calculate P‚ v‚ or T from non-ideal equations of state (cubic equations‚ the virial equation‚ compressibility charts‚ and ThermoSolver) ◦ Apply the Rackett equation‚ the thermal expansion coefficient‚ and the isothermal compressibility
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| | |Assignment title | | | | |Simultaneous Equation | | |Programme (e.g.: APDMS) |HND CSD | | |Unit
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Situational and Dispositional Factors in Explaining Behavior Sophie Landesmann The roles of situational and dispositional factors both play an important role in behavior. A significant term that one has to take in account is attribution‚ which is how people interpret and explain casual relationships in the social world. Humans have the need to know why things actually happen. Situational factors have something to do with external factors. When people speak about their
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Explaining Relationships According to dictionary.com‚ a relationship is “the mutual dealings‚ connections‚ or feelings that exist between two parties”. Relationships can be broken down into two areas; Personal and Professional. To ensure a successful relationship‚ guidelines have been put in place by society to follow. By following these guidelines‚ you will learn the proper steps and what it takes to have a meaningful and trusting relationship. Relationships are formed by likes and dislikes.
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bx + c Part 1 Factor each trinomial below. Please show your work and check your answer. (1 point each) x2 – 8x + 15 (x - 3) (x -5) x^2 - 5x - 3x +15 x^2 -8x + 15 a2 – a – 20 (a +4)(a-5) a^2 -5a +4a -20 a2 + 12ab + 27b2 (a +9b)(a +3b) a^2 + 3ab +9ab + 27b^2 2a2 + 30a + 100 (2a + 10)(a + 10) 2a^2 +20a +10a + 100 Part 2: (5 points) It’s your turn to be a game show host! As you know‚ in the game of Math Time‚ the contestants are given an answer and they must
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Balancing Equations Balancing equations is a fundamental skill in Chemistry. Solving a system of linear equations is a fundamental skill in Algebra. Remarkably‚ these two field specialties are intrinsically and inherently linked. 2 + O2 ----> H2OA. This is not a difficult task and can easily be accomplished using some basic problem solving skills. In fact‚ what follows is a chemistry text’s explanation of the situation: Taken from: Chemistry Wilberham‚ Staley‚ Simpson‚ Matta Addison Wesley
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QUADRATIC EQUATIONS Quadratic equations Any equation of the form ax2 + bx + c=0‚ where a‚b‚c are real numbers‚ a 0 is a quadratic equation. For example‚ 2x2 -3x+1=0 is quadratic equation in variable x. SOLVING A QUADRATIC EQUATION 1.Factorisation A real number a is said to be a root of the quadratic equation ax2 + bx + c=0‚ if aa2+ba+c=0. If we can factorise ax2 + bx + c=0‚ a 0‚ into a product of linear factors‚ then the roots of the quadratic equation ax2 + bx + c=0 can be found
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CRIM3001 EXPLAINING CRIME ASSIGNMENT 2 ESSAY ________________________________ ANOMIE‚ STRAIN‚ AND SOCIAL LEARNING THEORY: INTERPRETING CRIME Causes of crime are arguably criminology’s most important and largest research topic. In this process of research‚ criminologists and academics have used numerous theories in attempts to explain how and why people resort to crime (Ellis‚ Beaver‚ Wright‚ 2009). The purpose of this paper is to examine a case study first with the use of strain theories (ST)
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