then NOT q) Contrapositive= negate the converse (if not q‚ then not p) Biconditional= joining the conditional and the converse with the words if and only if Iff= abbreviation for “if and only if” Deductive Reasoning= reasoning based on fcat In geometry‚ we use definitions‚ postulates‚ theorums‚ and given information to support the statements we make. Law of Detachment= IF the hypothesis of a true conditional is true‚ then the conclusion is true. Example: If a vehicle is a car‚ then it has four
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Fundamentals of Engineering Exam Sample Math Questions Directions: Select the best answer. 1. The partial derivative of is: a. b. c. d. 2. If the functional form of a curve is known‚ differentiation can be used to determine all of the following EXCEPT the a. concavity of the curve. b. location of the inflection points on the curve. c. number of inflection points on the curve. d. area under the curve between certain bounds. 3. Which of the following choices is the general solution to this
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13 0 (4 marks) Question 7 is on the next page… Mathematics 103‚ Semester 1 - 2013 MID-SEMESTER TEST 5 Question 7 Solve the equation tan tan for ∈ 0‚ 360° . (5 marks) Question 8 Determine the Polar Coordinates ‚ 5‚ √11 . ‚ for the point whose Cartesian Coordinates are (2 marks) Question 9 is on the next page… Mathematics 103‚ Semester 1 - 2013 MID-SEMESTER TEST 6 Question 9
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The Rotating Sky – Pre-Lab I. Background Information This week’s lab is based on material developed by the University of Nebraska Astronomy Education Project. The material we need can be found at http://astro.unl.edu/naap/motion2/motion2.html Work through the explanatory material and play with the simulators on The Observer‚ Two Systems – Celestial- Horizon‚ the Paths of Stars‚ and Bands in the Sky. All of the concepts that are covered in these pages are used in the Rotating Sky Explorer
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Review‚ 1959‚ 24‚ 318-328. Guttman‚ L. Order analysis of correlation matrices. In R. B. Cattell (Ed.)‚ Handbook oj miiltivariate experimental psychology. Chicago: Rand McNally‚ 1966. Gutlman‚ L. A general iionmetric technique for finding the smallest coordinate space for a configuration of points. Psychometrika-‚ 1968‚ 33‚ 469-506. Heller‚ F. A. Managerial decision making. London: Tavistock‚ 1971. Kami‚ E. S.‚ & Levin‚ J. The use of smallest space analysis in studying scale structure: An applica- LEADERSHIP
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A vector in n dimension is any set of n-components that transforms in the same manner as a displacement when you change coordinates Displacement is the model for the behavior of all vectors Roughly speaking: A vector is a quantity with both direction as well as magnitude. On the contrary‚ a scalar has no direction and remains unchanged when one changes the coordinates. Notation: Bold face A‚ in handwriting A . The magnitude of the vector is denoted by A A A Example: Scalars: mass‚
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If a - b = 80°‚ find the values of a and b. [Marks:2] 12] [Marks:2] 13] The perpendicular distance of a point from the x - axis is 2 units and the perpendicular distance from the y - axis is 5 units. Write the coordinates of such a point if it lies in the: (i) I Quadrant (ii) II Quadrant (iii) III Quadrant (iv) IV Quadrant [Marks:2] 14] The volume of a cuboid is given by the algebraic expression ky2 - 6ky +8k. Find the possible expressions of the
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Laboratory III: Forces Problem IV: Normal and Kinetic Frictional Force I John Greavu March 13‚ 2013 Physics 1301W‚ Professor: Evan Frodermann‚ TA: Mark Pepin Abstract The dependence of two-dimensional velocity and position components on time as well as whether or not said components are constant was determined. Video was recorded of a ball being projected laterally and data of its flight were plotted. From analyzing the data and the corresponding graphs that followed‚ it was shown that while the
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Course Notes Linear Math & Matrices PSB – Dr. H. Schellinx Linear equations As we have seen‚ a linear equation with n different variables‚ say x1‚ x2 ‚ x3‚...‚ xn ‚ can always be written in the equivalent standard form a1 x1 + a2 x2 + a3 x3 +... + an xn = c ‚ where c is a constant‚ the xi are the unknowns and the ci are coefficients. Here are
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Geoms Data Visualization - Use a geom to represent data points‚ use the geom’s aesthetic properties to represent variables. Each function returns a layer. One Variable with ggplot2 Two Variables Continuous Cheat Sheet Continuous X‚ Continuous Y f <- ggplot(mpg‚ aes(cty‚ hwy)) a <- ggplot(mpg‚ aes(hwy)) with ggplot2 Cheat Sheet Data Visualization Basics i + geom_bin2d(binwidth = c(5‚ 0.5)) f + geom_blank() a + geom_area(stat = "bin") Data Visualization Continuous Bivariate Distribution
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