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A complex number is one that is made up of a complex and real part, they can all be written as: a+bi, where a and b are real numbers. The thing that makes the number "complex" is "i", the...

A moment is the turning force that is exerted at right angles (perpendicular) to a pivot. For example, on a see-saw, the moments would be the forces exerted on each end by the people sat on it. If the see-sa...

Standard form (sometimes called standard index form), is a way of writing out numbers. It is especially useful when it comes to VERY large or VERY small numbers, which normally would take lots of time (and p...

Whenever there is an equation in the form f(x)=u/w, the quotient rule tells us that: f '(x)= [w(du/dx)-u(dw/dx)]/v 2 *It looks complecated but if you break it down, it is simple. All you need is u, v, du/dx ...

First you must show that the statement on the right hand side is true for n=1: Σ i=0 i 2 when n=1, is equal to 1 2 =1 (1/6)(1+1)(1+2)=(1/6)(2)(3)=1 This means that the statement is true for n=1. Next you ass...