Search over 10,000 free study notes

8 (x-1) = 6 3x 2 3(x-1) = (2 * 3) 3x 2 3x * 2 -3 = 2 3x * 3 3x / : 2 3x 2 -3 = 3 3x / ln ln(2 -3 ) = ln(3 3x ) -3 ln(2) = 3x ln(3) / :3 - ln(2) = x ln(3) x = - ln(2)/ln(3)

Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages. In summary: Factorise the equation - Find the roots/intersections of the equ...

You have to write it in terms of cos(2x) using the double angle formula. The same applies for intergrating cos^2(x), you again have to write it in terms of cos(2x) using the same double angle formula.

1. First you need to learn how to recognise the form: Difference of two square numbers . a 2 - 36 (a 2 is a square number and 36 is also a square number and you are getting the difference between them) To fa...

There are two approaches to rationalising a denominator depending on how the denominator appears. First we deal with the simpler case where the surd term is the only term in the denominator. For example: 6/√...