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Take the sequence; 9, 12, 19, 30, ... (1) The first step is always to look at difference between the terms; 9, 12, 19, 30, ... +3, +7, +11, ... +4, +4, ... We can see the difference is not constant, (2) so w...

So we initially have the relationship y = ln(sin(3x)). As the left hand side is a function of the variable y and the right hand side is a function of the variable x i.e they are implicitly related, we need t...

My favourite way to remember whether my answer is positive or negative when I multiply two numbers is to think of the following: a) If you multiply two numbers with the SAME sign (i.e. two positive numbers o...

(2 + 3^0.5 )^2 - (2 - 3^0.5 )^2 Firstly we will start by seperating the 2 brackets. This will give us 1 : (2+ 3^0.5 )^2 2 : (2 - 3^0.5 )^2 We will start by expanding our brackets. To do this we use the rule;...

What is the intergral of 6.x^2 + 2/x^2 + 5 with respect to x ? To answer a question like this you would intergrate each phrase of the addition in turn with respect to x . To intergrate a single c.x^n phrase ...