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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PHILIPPINE e-LEARNING SOCIETY NATIONAL e-LEARNING CONGRESS 2014 e-PROCEEDINGS ISSN: 2094-5485 VOLUME 2014 COMPENDIUM PeLS NELC 2014 Conference Proceedings 1 ISSN: 2094-5485 VOLUME 2014 COMPENDIUM Greetings of peace! The annual National eLearning Congress is a tradition of the Philippine eLearning Society (PeLS). It is a venue for academics‚ researchers‚ eLearning practitioners‚ industry training and development specialists‚ ICT education service providers
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Patterns within systems of Linear Equations HL Type 1 Maths Coursework Maryam Allana 12 Brook The aim of my report is to discover and examine the patterns found within the constants of the linear equations supplied. After acquiring the patterns I will solve the equations and graph the solutions to establish my analysis. Said analysis will further be reiterated through the creation of numerous similar systems‚ with certain patterns‚ which will aid in finding a conjecture. The hypothesis
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5 – GEOMETRY PROOFS REVISION: PART 2 TOPIC 6 – TRIGONOMETRY TOPIC 7 – GEOMETRY PROOFS TOPIC 8 – PROBABILITY REVISION TOPIC 9 – GRAPHING REVISION TOPIC 10 – FURTHER GRAPHS TOPIC 11 – TRIGONOMETRIC EQUATIONS AND IDENTITIES TOPIC 12 – GENERAL REFERENCE and YEARLY REVISION TOPIC 13 – QUADRATIC THEORY TOPIC 14 – LOGARITHMS TOPIC 15 – RADIAN MEASURE TOPIC 16 – ABSOLUTE VALUES JAMES RUSE AGRICULTURAL HIGH SCHOOL YEAR 10 PROGRAMME OBJECTIVES: To consolidate year 9 work‚ particularly
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Everything Maths Grade 11 Mathematics Version 0.9 – NCS by Siyavula and volunteers Copyright notice Your freedom to legally copy this book You are allowed and encouraged to freely copy this book. You can photocopy‚ print and distribute it as often as you like. You can download it onto your mobile phone‚ iPad‚ PC or flash drive. You can burn it to CD‚ e-mail it around or upload it to your website. The only restriction is that you have to keep this book‚ its cover and short-codes unchanged
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is surrounding Lascap’s Fractions. They are a group of numbers set up in a certain pattern. A similar mathematical example to Lacsap’s Fractions is Pascal’s Triangle. Pascal’s Triangle represents the coefficients of the binomial expansion of quadratic equations. It is arranged in such a way that the number underneath the two numbers above it‚ is the sum. Ex. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 In the
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Running head: QUADRATIC FUNCTIONS 1 Real World Quadratic Functions Gail Frazier MAT 222 Week 4 Assignment Instructor: Simone Danielson March 6‚ 2014 Real World Quadratic Functions [no notes on this page] -1- QUADRATIC FUNCTIONS 2 Quadratic functions are perhaps the best example of how math concepts can be combined into a single problem. To solve these‚ rules for order of operations‚ solving equations‚ exponents‚ and radicals must be used. Because multiple variables
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THE ACCOUNTING EQUATION The accounting equation can be described as of the basis of accounting. This is because it describes the double entry principle of book-keeping. It is a representation of how funds are raised to finance Assets. The equation is illustrated below: Asset = Capital + Liabilities For example‚ a girl needs to buy a laptop costing £500. She already had £250 in personal savings and then took a loan of £250 from her boyfriend. Here is the equation again: Asset Capital
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Emmitt Smith & His Annual Rushing Yards Emmit Smith announced his retirement February 3‚ 2005. It was a very emotional moment for Smith‚ who has played running back in the NFL for fifteen years (thirteen of those years for the Dallas Cowboys). As Smith announced his retirement tears began to flow down his face stating "It’s been a tremendous ride." Over his career in the NFL‚ Smith has racked up many impressive statistics and awards. Smith has played on three Super Bowl championship teams (including
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Summer 2010-3 CLASS NOTES CHAPTER 1 Section 1.1: Linear Equations Learning Objectives: 1. Solve a linear equation 2. Solve equations that lead to linear equations 3. Solve applied problems involving linear equations Examples: 1. [pic] [pic] 3. A total of $51‚000 is to be invested‚ some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3‚000‚ how much will be invested in each type
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