PPT-Heat Equations

of Change II 7 Heat Equations of Change 71 Derivation of Basic Equations 711 Differential Equation for Heat Conduction 712 Energy Equation 713 . e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Presented by: N.S Thomas. Department of Mechanical and Mechatronic Engineering, University of Stellenbosch. Private Bag XI, MATIELAND . 7602. , South Africa. Tel: 083 484 2893. Email: 15818705@sun.ac.za. using Elimination. Steps:. 1. Place both equations in Standard Form, A. x . + B. y . = C.. 2. Determine which variable to eliminate with Addition or Subtraction.. 3. Solve for the variable left.. I can identify the products and reactants in a chemical reaction.. I can state the law of conservation of matter.. I can determine the number of each atom in a compound based on subscripts and coefficients.. By: Morgan Shade . Absolute Value. The number’s distance away from zero. Can’t be a negative number. Examples:. │3│= 3. │-10│= 10. │0│= 0. Absolute Value Equations. Isolate the Absolute Value. Parts of a chemical equation:. Reactants. : a substance present at the beginning of a chemical reaction. (Left side). Products. : a substance that is produced during a chemical reaction (Right Side). Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. By graphing. Definition. A system of linear equations, aka linear system, consists of two or more linear equations with the same variables.. x + 2y = 7. 3x – 2y = 5. The solution. The solution of a system of linear equations is the ordered pair that satisfies each equation in the system. . Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Introduction. This chapter gives you several methods which can be used to solve complicated equations to given levels of accuracy. These are similar to methods which computers and calculators will use, and hence can be used in computer programming. Examples:. . 1). . . x 3 = 15. . 2) p – 5 = 20. 3) 2d = 16. 4). . = 24.  . Multi-Step Equations. Examples—. 5). 2p 15 = 29. 6). 14 – 3n = -10. 7). 27 = -9(y 5). 8). 7a – 3a 2a – a = 16. Net ionic equations are useful in that they show only those chemical species directly . participating in . a chemical . reaction. The keys to being . able to . write net ionic equations are the ability to recognize monatomic and polyatomic ions, . Clausius. – . Clapeyron. equation, Temperature dependence of entropy, Statistical interpretation of entropy, Consequences of third law, Nernst heat theorem, Equilibrium constant, Van-Hoff equation, Concept of fugacity, activity and mole fraction.