Chap 2 notes
... If the same zero occurs an odd number of times, the graph crosses the x-axis at that x-value. 3. Find the y-intercept by computing f(0). 4. Use symmetry, if applicable, to help draw the graph. y-axis of symmetry: f(−x) = f(x) (even function) Origin symmetry: f(−x) = −f(x) (odd function) 5. Use ...
... If the same zero occurs an odd number of times, the graph crosses the x-axis at that x-value. 3. Find the y-intercept by computing f(0). 4. Use symmetry, if applicable, to help draw the graph. y-axis of symmetry: f(−x) = f(x) (even function) Origin symmetry: f(−x) = −f(x) (odd function) 5. Use ...
10 - edl.io
... A selection of r objects from a group of n objects where the order is not important Pascal's triangle An arrangement of the values of nCr w a triangular pattern in which each row corresponds to a value of n Binomial theorem For any positive integer n, the binomial expansion of (a + b)n is (a+ b)n = ...
... A selection of r objects from a group of n objects where the order is not important Pascal's triangle An arrangement of the values of nCr w a triangular pattern in which each row corresponds to a value of n Binomial theorem For any positive integer n, the binomial expansion of (a + b)n is (a+ b)n = ...
Lecture 3: Principle of inclusion and exclusion 1 Motivation 2
... as a basic counting tool. It has a wide area of applications such as counting derangements, counting number of onto functions, counting intersections, Euler’s φ function, graph coloring, Rook polynomials and many more. Let us understand it with an example. ...
... as a basic counting tool. It has a wide area of applications such as counting derangements, counting number of onto functions, counting intersections, Euler’s φ function, graph coloring, Rook polynomials and many more. Let us understand it with an example. ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.