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Firstly, we translate the information give into Maths equation. Therefore, A+D=£63 (the amount of many the spend on the tickets). Given the amount spent by Amy, we can find the total amount Dan spends: D=...

We have two reliable methods of solving this simultaneous equation. We can either eliminate the variables (x or y) directly, or make one of the variables the subject of the equation. I will show you how t...

The exponential function is defined as a power series, which we may (for reasons that are beyond the scope of A-level) differentiate term by term to get another power series. The general term of the serie...

this is an example of an integration by parts problem, we must use integration by parts to evaluate this integral;although this would not be entirely obvious as the integral does not seem to be the produc...

This equation is an example of a quadratic equation, which is noticeable by the presence of the x² term on the left hand side. We begin to solve these types of equations by moving all the terms...