Name of the course: Descriptive geometry and mechanical drawing 1. Organization of the course ( 课程安排 ) 2. Introduction of the course Organization of the course • Lectures---44 • Assignments---submitted before the exercise lesson • Assessment (full score is 100) -Assignments (30%)—submitted in time + high quality; performance and contribution in the classroom. -Final examination (70%). Introduction of the course 1.The Characteristic: graphical language for engineering communication 2.Tasks （
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Science 10. P 393 Investigation 13A Time (sec) Displacement (cm down) Velocity ( down) 0 0 0 0.1 0.6 = Df – Di = 0.6 – 0 = 0.6 = 0.2 1 = Df – Di = 1 – 0.6 = 0.4 = 0.3 3.3 = Df – Di = 3.3 – 1 = 2.3 = 0.4 5.9 = Df – Di = 5.9 – 3.3 = 2.6 = 0.5 7.4 = Df – Di = 7.4 – 5.9 = 1.5 = 0.6 8.7 = Df – Di = 8.7 – 7.4 = 1.3 = 0.7 10.1 = Df – Di = 10.1 – 8.7 = 1.4 = 0.8 11.4 = Df – Di = 11.4 – 10.1 = 1.3 = 0.9 12.9 = Df – Di = 12.9 – 11.4 = 1.5 = 1.0 11.8 = Df – Di = 11.8 – 12.9 = -1.1 = 1
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Objectives: To learn about motion through studying and matching graphs of position vs. time and velocity vs. time; to develop an understanding of the concepts of kinematics. Predict‚ sketch‚ and test motion graphs to better understand motion. Equipment: Computer Vernier computer interface Logger Pro Vernier Motion Detector Meter stick Masking tape Preliminary Questions: 1a. The pink line shows the position of an object at rest with respect to
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iteratively applied to calculate the minors in terms of subminors‚ etc. The factor is sometimes absorbed into the minor as in which case is called a cofactor. The equation for the determinant can also be formally written as where ranges over all permutations of and is the inversion number of (Bressoud and Propp 1999). In linear algebra‚ the Laplace expansion‚ named after Pierre-Simon Laplace‚ also called cofactor expansion‚ is an expression for the determinant |B| of an n × n square matrix B that
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4 4.1 Solving Systems of Linear Equations Graphically and Numerically 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination 4.4 Systems of Linear Inequalities Systems of Linear Equations in Two Variables We can do anything we want to do if we stick to it long enough. —HELEN KELLER mericans have been moving toward a more mobile lifestyle. In recent years‚ the percentage of U.S. households relying solely on mobile phone service has
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Description This course introduces basic algebra concepts and assists in building skills for performing specific mathematical operations and problem solving. Students will solve equations‚ evaluate algebraic expressions‚ solve and graph linear equations and linear inequalities‚ graph lines‚ and solve systems of linear equations and linear inequalities. These concepts and skills will serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the
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Description This course introduces basic algebra concepts and assists in building skills for performing specific mathematical operations and problem solving. Students will solve equations‚ evaluate algebraic expressions‚ solve and graph linear equations and linear inequalities‚ graph lines‚ and solve systems of linear equations and linear inequalities. These concepts and skills will serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the
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TECHNOLOGY AND SCIENCE‚ PILANI - K.K. BIRLA GOA CAMPUS Mathematics-2 Tutorial–1 1. Use the Gaussian elimination method to solve each of the following systems of linear equations: (a) −5x1 − 2x2 + 2x3 = 14 3x1 + x2 − x3 = −8 2x1 + 2x2 − x3 = −3 (b) 3x1 − 2x2 + 4x3 = −54 −x1 + x2 − 2x3 = 20 5x1 − 4x2 + 8x3 = −83 2. Find the quadratic equation y = ax2 + bx + c that goes through the points (3‚ 18)‚ (2‚ 9) and (−2‚ 13). 3. Use the Gauss Jordan method to determine the complete solution set for the given
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When was the last time you considered the odds of your life panning out in the exact way that it has? Most of the time‚ the role of chance in our lives goes completely unnoticed‚ even as it shapes every aspect of our lives and our world. People are hardwired to assign blame or credit to one particular person or event that we think “caused” something to happen. In reality‚ causation is not a straight line‚ leading from one cause to one effect to one aftereffect. It’s more like a huge spider web‚ with
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Application of linear algebraic equation for chemical engineering problem The chemical engineering system models often outcome of set of linear algebraic equations. These problems may range in complexity from a set of two simultaneous linear algebraic equations to a set involving 1000 or even 10‚000 equations. The solution of a set two or three linear algebraic equations can be obtained easily by the algebraic elimination of variables or by the application of cramer’s rule. However for systems involving
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