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4 days ago · Definition: Dilation in the Vertical Direction. Consider a function 𝑦 = 𝑓 (𝑥), plotted in the 𝑥 𝑦-plane. We stretch it in the vertical direction by a scale factor of 𝑎, causing the transformation 𝑓 (𝑥) → 𝑎 𝑓 (𝑥).
1 day ago · In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 103, the logarithm base of 1000 is 3, or log10 (1000) = 3.
5 days ago · Coordinate graphs, or coordinate planes, are grids with two main axes (lines) labeled x and y. The points where any two lines intersect are labeled based on their distance from these two axes. For instance, two lines that intersect at (3, 5) would be three points above the x-axis and five points to the right of the y-axis.
5 days ago · reflect points, lines, and shapes in the 𝑥 - or 𝑦 - a x i s on the coordinate plane, understand the properties of reflection in a line, reflect a point, line, or shape about the origin on the coordinate plane.
1 day ago · In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real -valued function.
4 days ago · Calculus. In the mathematical field of complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. [1] [2] [3] Contour integration is closely related to the calculus of residues, [4] a method of complex analysis . One use for contour integrals is the evaluation of integrals along the real ...
4 days ago · Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History ... Number Axis. See.
