Search over 10,000 free study notes

First of all, find a topic that interests you. It may be related to a subject that you are studying at A-level but it doesn't have to be. Then do some research on that topic. If it still interests you, and y...

Label the two equations as the following: x 2 + 2y = 9 y = x + 3 Equation 2 can be substituted into equation 1, giving: x 2 + 2( x + 3 ) = 9Expanding the brackets and subtracting 9 from both sides means equa...

One of the most important objections to utilitarianism is the objection from moral dilemmas. If one course of action can bring about more 'utility' or flourishing than another, then it is the moral thing to ...

You can solve simultaneous equations by either substitution or elimination. Say we have the equations:(1) 8y + 6x = 24 and (2) 2y - x = 6SUBSTITUTION METHODFirst, you need to find x in terms of y (or y in te...

This questions involves the use of trigonometric identities, specifically [1] tan(x) = sin(x)/cos(x) and [2] sin 2 (x) + cos 2 (x) = 1. Start by rearranging the given equations to tan(x) = 3/2sin(x) by divin...