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1. First we need to make sure we have a nicely labelled triangle, identifying which sides are the adjacent, opposite and hypotenuse. 2) Once these are labelled we will can work out which trig function ...

The first step here is to identify what to do. Differentiating the equation y = 2x^2 + 7 will result in dy/dx = 4x. Given that you know that x = 3, you can substitute x = 3 into 4x which gives you 4(3) = ...

First split up the fraction into partial fractions as this is more easily integrated. It can be seen that the denominator has factors y and (3y+2), therefore we can say the original fraction is equal to p...

Find the difference between each term in the sequence. Then find the second difference, i.e. the difference between each of the primary differences. Divide this by 2, to give you the coefficient of n^2. N...

First, when faced with a question like this you must factorise the expression. So we need to factorise x²-5x+4 into 2 linear parts. (Linear terms are terms without any powers of x). To do this,...