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Refraction is what occurs when light passes from one medium to another (for example, air to water) and because of the difference in the medium, the speed changes. This change in speed of light causes it t...

Read through all six very carefully. From the first read through, eliminate the scenarios and scenes which you have little to zero knowledge about, and those which you have no vague, but immediate ideas f...

Integration by parts should be used when you want to integrate a function composed of two factors (we can call them 'u' and 'dv'), where it is fairly easy to derive 'u', while it is difficult or impossibl...

Firstly we rearrange the expression to the required form:x² + y² + 20x - 14y + 49 = 0 which gives (x + 10)² - 100 + (y - 7)² - 49 + 49 = 0 and so ...

Firstly split up the ln(x/7) = ln(x) - ln(7) using rules of logarithms learnt in your first year of A-levels, as this will reduce any likely error.Secondly, recognise that the -ln(7) term is constant, and...