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There is a subtle point to be made here, which comes down to double counting. The addition rule:Pr(A union B) = Pr(A)+Pr(B)-Pr(A intersection B)allows us to work out the probability that either event A or ev...

Take a general function f(x) = ax²+bx+c First thing to do with every problem is sit back and think a bit: there are usually several ways to solve a problem but one will likely be easier and shorter. In this ...

To work out the number of roots a qudratic ax 2 ​+bx+c=0 you need to compute the discriminant (b 2 ​-4ac). If the discrimant is less than 0, then the quadratic has no real roots. If the discriminant is equal...

The main methods of differentiation you need to know at A level are the chain rule, the product rule and the quotient rule. The chain rule should be used when the eqation is a function of a function. E.g. y=...

An integral is the area that lies below a graphed line and the x-axis, an indefinite integral is when an interval is not used, and so is often infinite, as it covers the entire area under a graph, and not ju...