Mathematics
-
Basis And Dimension: Formula, Rules & Examples
Basis and dimension describe the independent directions needed to build every vector in a vector space. A basis is a…
Read More » -
Area Under A Curve: Formula, Rules & Examples
The area under a curve is calculated with a definite integral. If: f(x) ≥ 0 for: a ≤ x ≤…
Read More » -
Area Between Curves: Formula, Rules & Examples
The area between curves measures the geometric region enclosed by two functions over a specified interval. When: f(x) ≥ g(x)…
Read More » -
Arc Length Calculus: Formula, Rules & Examples
Arc length calculus finds the distance measured along a curve rather than the straight-line distance between its endpoints. For a…
Read More » -
Antiderivative: Formula, Rules & Examples
An antiderivative of a function is another function whose derivative equals the original function. If: F′(x) = f(x) then: F(x)…
Read More » -
Calculus & Linear Algebra: Complete Guide, Formulas & Examples
Calculus & linear algebra are two foundational branches of mathematics used to describe change, accumulation, multidimensional relationships, transformations, and systems…
Read More » -
Weighted Averages: Definition, Formula & Example
Weighted averages combine values while allowing some observations to contribute more strongly than others. The general weighted-average formula is: Weighted…
Read More » -
Unit Rate: Formula, Rules & Examples
A unit rate compares one quantity with exactly one unit of another quantity. The basic formula is: Unit Rate =…
Read More » -
Triangular Numbers: Formula, Rules & Examples
Triangular numbers are numbers that can be represented by arranging equally spaced objects into an equilateral triangular pattern. The sequence…
Read More » -
Surds: Formula, Rules & Examples
Surds are exact irrational radical expressions that cannot be simplified to rational numbers. Examples include: √2 √3 5√7 2 +…
Read More »
