Calculus

Calculus is the mathematical study of continuous change. The 2 branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite series & infinite sequences to a well-defined limit. Derivatives (Differential) Differentiable Common Derivatives Implicit Differentiation Homogeneous Differential Equations Integration (Integral) Integration

Hyperbolic Functions: Definition, Inverse, Identities, Derivatives, & Examples

What is Hyperbolic functions? Hyperbolic function identic with trigonometry function especially sine and cosines. It is exponential functions that has properties like trigonometry. The basic of hyperbolic functions are hyperbolic sine and cosines. But the both of them are different with sine and cosines in trigonometry. In real life, it can be applied to determine

Data

Data is a set of values of subjects with respect to qualitative or quantitative variables. Data is measured, collected and reported, and analyzed, whereupon it can be visualized using graphs, images or other analysis tools. Raw data or unprocessed data is a collection of numbers or characters before it has been “cleaned” and corrected by

Algebra

Algebra (“al-jabr”, from Arabic) literally meaning “reunion of broken parts”. Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols. It includes everything from elementary equation solving to the study

Numbers

A number is a mathematical object used to measure, count, & label. In common usage, number may refer to mathematical object, a word or phrase, or a symbol. The notion of number has been extended over the centuries to include 0, negative numbers, rational numbers such as 2/5 and −1/3, real numbers such as √2

Cube Numbers and Cube Roots

How to Cube A Number a cubed = a x a x a a cubed is written as a3 Examples 0 cubed 03 0 × 0 × 0 0 1 cubed 13 1 × 1 × 1 1 -2 cubed (-2)3 (-2) × (-2) × (-2) -8 3 cubed 33 3 × 3 × 3 27 4 cubed

Convert Decimals to Fractions

How to convert a Decimal to a Fraction? Write down the decimal divided by 1, like this: decimal/1 Multiply both top and bottom by 10 for every number after the decimal point. Simplify the fraction Examples Decimal Step 1 Step 2 Step 3 Fraction 0.75 2.35 = 2+0.35 0.333 Can’t get any simpler! Special Note: For

Even & Odd function

Every function has each graph, but not all of the graph symmetric to x-axis, y-axis, or others. If the graph has symmetric, it concludes to specific case that the function is even or odd function. Even function and graph Even function is different mean with even numbers. The graph of even function is symmetric to

Convert Percents to Fractions

How to convert a Percent to a Fraction? Write down the percent divided by 100 like this:  percent/100 If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. Simplify the fraction Examples Percent Step 1 Step 2 Step 3 Fraction 13% The

Reciprocal of a Fraction

Fractions A Fraction (such as 2/3) has two numbers: Numerator: the top number Denominator: the bottom number We call the top number the Numerator, it is the number of parts we have. We call the bottom number the Denominator, it is the number of parts the whole is divided into. Reciprocal of a Fraction To