2014/9/16 Linear Equations Ad Options Ads by Vidx Linear Equations A linear equation is an equation for a straight line These are all linear equations: y = 2x+1 5x = 6+3y y/2 = 3 x Let us look more closely at one example: Example: y = 2x+1 is a linear equation: The graph of y = 2x+1 is a straight line When x increases‚ y increases twice as fast‚ hence 2x When x is 0‚ y is already 1. Hence +1 is also needed So: y = 2x + 1 Here are some example values: http://www.mathsisfun.com/algebra/linear-equations
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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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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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the Submit for Grading button by then‚ you will be automatically exited from the exam. In the Midterm Exam environment‚ the Windows clipboard is disabled‚ and so you will not be able to copy exam questions or answers to or from other applications. 2. You should click the Save Answers button in the exam frequently. This helps prevent connection timeouts that might occur with certain Internet Service Providers‚ and also minimizes lost answers in the event of connection problems. If your Internet
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COMP122 Week 1 Homework Part 1: Complete the following problems. 1. What is machine code? Why is it preferable to write programs in a high level language such as C++? Machine code it the language that the computer understands. High level languages are better because they are easier to understand and work with. 2. What does a compiler do? What kinds of errors are reported by a compiler? A compiler translates one computer language into another. It also pics up errors in the program being
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Week 6 Knowledge Check Concepts Mastery Score: 13/13 Questions Differences Between a Firmâs Social Obligation‚ Social Responsiveness‚ and Social Responsibility 100% 1 2 3 Green Approaches/Shades of Green Model 100% 4 5 6 Factors to Determine Ethical Behavior 100% 7 8 9 Ways Managers can Encourage Ethical Behavior 100% 11 12 13 10 Concept: Differences Between a Firmâs Social Obligation‚ Social Responsiveness‚ and Social
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MATHEMATICAL METHODS PARTIAL DIFFERENTIAL EQUATIONS I YEAR B.Tech By Mr. Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam‚ Hyderabad. SYLLABUS OF MATHEMATICAL METHODS (as per JNTU Hyderabad) Name of the Unit Unit-I Solution of Linear systems Unit-II Eigen values and Eigen vectors Name of the Topic Matrices and Linear system of equations: Elementary row transformations – Rank – Echelon form‚ Normal form – Solution of Linear Systems
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1. The largest ancestral group of European Americans is a. French. b. Irish. c. German. d. Norwegian. 2. Which of the following groups has always been considered White by the English? a. Irish. b. Germans. c. Swedes. d. none of these 3. The principle of third-generation interest states that a. the grandchildren of the original immigrants would have an increased interest in their ethnicity. b. the grandchildren of the original immigrants would have a decreased interest in
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The Triathlon Equation Those who are interested in doing the triathlon often do not know how to do their training effectively. First you must build a base. This means you must start with endurance only a few times a week‚ progressing to 6 days a week with one rest day. You should only do 1 activity a day‚ with 1 brick workout a week. A brick workout simulates what it feels like to do two of the activities back to back so that it is easier come race day. Brick examples include: 1.) swim 300m
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Challenge question for Quiz 2 1. What group of compounds are usually the second most abundant (by weight) in fruit after water? 2. What is the major difference between fruit and vegetables in terms of their botanic origin? 3. List the intrinsic and external factors which can affect the respiration rate of fruit and vegetables 4. What are the major differences between climacteric and non-climacteric fruits? 5. What is role of ethylene in fruit ripening? 6. Describe the relationship between temperature
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