Graph of y=ln x and Graph of y=e^x
The following is a sketch of two graphs; the y = In x and y = ex These graphs are just a reflection or inverse of each other in the line y=x as the...
Monthly Archive: March 2011
Tangents and Normals
This article is only useful if you know what tangets are. Be able to find gradients of tangents and be able to form general formulas for tangents. This is just an expansion from Gradient...
Gradient of a Tangent to a curve
Calculating the gradient of a tangent to a curve can be very useful in mathematical calculations. Some mechanical structures such as ramps, rides are usually modelled around mathematical curves. In some cases there is...
Standard form
Standard form: Standard form is way of expressing numbers that are either very large or too small to use into a simplified form For example the number; 1,000,000,000,000,000,000,000,000 This is such a very huge...
Geometric progression/sequences
A geometric series or progression is a series where each term is found by multiplying the previous term before it by a constant number. This constant number is called the common ratio (r). Here...
Arithmetic sequences
An arithmetic progression or arithmetic sequence is simply a sequence of numbers with a common difference and this common difference has to be constant. In most cases you will have a set of the...
Percentages
Percentage: A percentage is a way of expressing a number as a fraction of 100 . It is mostly denoted using the percent sign, % For example, 50% (read as “fifty percent”) is equal...
Rules of Indices
An indice is a number with a power; for example am; a is called the base and m is the power. The power is also often referred to as the “index” or “exponent”. Indices...
Logarithms
The logarithm of a number to a given base is the exponent to which the base must be raised in order to produce that number. In simple description the logarithm is the power of...