Search over 10,000 free study notes

A parametric equation is one that is defined in terms of a single parameter, usually called t. This means that, instead of the standard geometric equation, where y and x are defined by each other, e.g. y=3x,...

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...

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...